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Critical thinking arguments for beginners

Critical thinking is one of the most valuable sets of life skills you can ever have and it’s never too late to learn them. People who can think critically are better at problem solving of all kinds, whether at school or work, in ordinary daily life, and even in crises. You can practice critical thinking by working through typical arguments from premises to conclusions.

Thinking critically isn’t about following a single path to an inevitable conclusion. It’s about developing a set of powerful and versatile mental processing tools in your head and being able to apply these meaningfully to the world around you.

You need no special qualifications to become a strong critical thinker, and can’t pick it up simply from reading books about critical thinking. The only way to hone critical thinking skills is to practice critical thinking.

If you’re ready to learn more about critical thinking arguments for beginners then read on…

What is critical thinking?

Let’s first illustrate the answer to this question by taking a look at how we can think critically about potential misinformation online.

Your friend on a social media site has shared a photograph of election ballot slips apparently being tipped into a river by a postal truck driver, reportedly a supporter of a political party who will benefit from lower postal voter turnout.

Your friend is a supporter of another party and expresses outrage at the alleged law-breaking, election influencing, and reduced chances for her own party candidate. Many other friends pile in with sympathetic and equally outraged comments, or new allegations.

The temptation might be strong to accept the narrative caption which accompanies the picture, echo your friends’ emotional responses, and share the photo further. However, as a critical thinker, you should step back and ask some crucial questions first:

• Is the photo obviously manipulated? Sophisticated image alterations can now be made which won’t be spotted by the majority of non-experts. Could this be an image of a simple truck crash with ballot papers photoshopped in?
• Does your friend fact-check stories, pictures, memes etc.. before posting them online? If she has a history of posting stories which turned out to be false, it reduces her credibility in presenting the current story.
• I s there anything in the photograph which supports or undermines the claims made? If you can see that the van has a foreign registration plate, the ballot papers aren’t in English, or the date on the clock is actually several years ago, it is clear that the true story is somewhat different to the one being told.

Let’s say that your initial suspicions after asking yourself these questions are enough that you do a quick web search for the story.

Your search reveals that credible sources have already uncovered the photo as having been manipulated and spread by an online political group. It was originally a local news story about a crashed postal truck in another country five years earlier and has no relationship whatsoever to the current election in your country…

Your critical thinking helped you to avoid falling into group-think along with your friends and saved you from spreading more misinformation online. These real life type examples are are an excellent way to grasp the relevance and value of critical thinking arguments for beginners.

Now for a little of the theory. Critical thinking is a description that brings together a range of useful intellectual skills and their synergies. While there is no definitive list, there are some common key competences necessary for critical thinking:

• Conducting analysis. Being able to understand the issue in question; distinguish between relevant and irrelevant information; identify commonalities, differences and connections.
• Making inferences. Using inductive or deductive reasoning to draw out meanings; identifying assumptions; abstracting ideas; applying analogies and recognizing cause and effect relationships in order to develop theories or potential conclusions.
• Evaluating evidence. Making a judgement about whether a theory or statement is credible or correct; adjusting views and theories in the light of new data or perspectives; grasping the significance of events and information.
• Making robust decisions. Reaching sound conclusions by applying critical thinking skills to the available evidence.

To apply critical thinking in real life, you also need to possess the right attitude to problem solving, as well as the critical thinking skills themselves.

This means being automatically inclined to think critically in the face of a difficult question or problem. Being fair, open-minded, curious and free from ideology or group-think will all help to create a mindset in which critical thinking can thrive.

What are critical thinking arguments?

Let’s now look at some of the basic building blocks underpinning critical thinking arguments for beginners.

In critical thinking and logic, ‘argument’ has a particular meaning. It refers to a set of statements, consisting of one conclusion and one or more premises. The conclusion is the statement that the argument is intended to prove. The premises are the reasons offered for believing that the conclusion is true.

A critical thinking argument could use a deductive reasoning approach, an inductive reasoning approach, or both.

Deductive reasoning

Deductive reasoning attempts to absolutely guarantee a conclusion’s truth through logic. If a deductive argument’s premises are true, it should be impossible for its conclusion to be false. For example:

• All humans are mortal. (Premise)
• Socrates is a human. (Premise)
• Therefore, Socrates is mortal.  (Conclusion)

Inductive reasoning

Inductive reasoning attempts to show that the conclusion is probably true, with each premise making the case for the conclusion stronger or weaker. For example:

• Three independent witnesses saw Max climb in through the window of the house. (Premise)
• Max’s fingerprints are on the window frame and several stolen items. (Premise)
• Max confessed to the burglary. (Premise)
• Therefore, Max committed the burglary. (Conclusion)

Do note that in either case, straight assertions, explanations or conditional sentences are not arguments.

How do I assess a critical thinking argument?

You can evaluate whether an argument is valid or invalid, sound or unsound, strong or weak .

If an argument is said to be ‘valid’, it means that it is impossible for the conclusion to be false if the premises are true. If an argument is ‘invalid’, it is possible for the premises to be true and the conclusion false.

An argument is ‘sound’ if it is both valid and contains only true premises. If either of these conditions isn’t met then the argument is ‘unsound’.

A deductively ‘strong’ argument is both valid and it is reasonable for the person in question to believe the premises are true. In a deductively weak argument , the person considering the premises may have good reason to doubt them.

When an argument is inductively strong, the truth of the premises makes the the truth of the conclusion probable. In contrast, in an inductively ‘weak’ argument, the truth of the premises do not make the truth of the conclusion probable.

Counterexamples

A ‘counterexample’ is a consistent story which shows that an argument can have true premises but a false conclusion, rendering it invalid.

NB A valid argument is not necessarily true, and a weak argument is not necessarily false.

All of these fundamentals can be applied both to simple practice arguments and then to more complex problems of the type you might encounter in real life.

For example:

• All unicorns are Swedish (Premise)
• My new pet is a unicorn (Premise)
• Therefore,  my new pet is Swedish (Conclusion)

The premises here are both false – unicorns do not exist, and I therefore cannot own one as a pet. However, if they were true, then the conclusion would be true. What we have here is a valid argument, but not a sound one, nor a strong one.

How can I practice critical thinking arguments for beginners?

Now that you have the basic tools and concepts for putting together a critical thinking argument, you can look  out for real life examples to practice with.

News stories

Look at the headlines covering stories in TV,  online or paper news. Do you agree that the facts of the story are credible and constitute premises strong enough to justify the headline drawn from them?

Social media

Critically examine stories and claims shared by friends and contacts online. Ask yourself whether the evidence presented is credible and justifies the claims being made.

Corporate statements

Evaluate claims made by big corporations in public statements and annual reports alongside their actions and impacts. For example, if a major oil company claims that it is working to combat climate change, how strong, valid and sound are their arguments?

Conclusion…

Whatever your starting point, we hope this article has set you on the road to becoming a critical thinker, and that these developing skills might open new doors at school, at work or in other areas of life. The world needs more critical thinking at all levels and your contribution might one day be valuable.

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41+ Critical Thinking Examples (Definition + Practices)

Critical thinking is an essential skill in our information-overloaded world, where figuring out what is fact and fiction has become increasingly challenging.

But why is critical thinking essential? Put, critical thinking empowers us to make better decisions, challenge and validate our beliefs and assumptions, and understand and interact with the world more effectively and meaningfully.

Critical thinking is like using your brain's "superpowers" to make smart choices. Whether it's picking the right insurance, deciding what to do in a job, or discussing topics in school, thinking deeply helps a lot. In the next parts, we'll share real-life examples of when this superpower comes in handy and give you some fun exercises to practice it.

Critical Thinking Process Outline

Critical thinking means thinking clearly and fairly without letting personal feelings get in the way. It's like being a detective, trying to solve a mystery by using clues and thinking hard about them.

It isn't always easy to think critically, as it can take a pretty smart person to see some of the questions that aren't being answered in a certain situation. But, we can train our brains to think more like puzzle solvers, which can help develop our critical thinking skills.

Here's what it looks like step by step:

Spotting the Problem: It's like discovering a puzzle to solve. You see that there's something you need to figure out or decide.

Collecting Clues: Now, you need to gather information. Maybe you read about it, watch a video, talk to people, or do some research. It's like getting all the pieces to solve your puzzle.

Breaking It Down: This is where you look at all your clues and try to see how they fit together. You're asking questions like: Why did this happen? What could happen next?

Checking Your Clues: You want to make sure your information is good. This means seeing if what you found out is true and if you can trust where it came from.

Making a Guess: After looking at all your clues, you think about what they mean and come up with an answer. This answer is like your best guess based on what you know.

Explaining Your Thoughts: Now, you tell others how you solved the puzzle. You explain how you thought about it and how you answered. 

Checking Your Work: This is like looking back and seeing if you missed anything. Did you make any mistakes? Did you let any personal feelings get in the way? This step helps make sure your thinking is clear and fair.

And remember, you might sometimes need to go back and redo some steps if you discover something new. If you realize you missed an important clue, you might have to go back and collect more information.

Critical Thinking Methods

Just like doing push-ups or running helps our bodies get stronger, there are special exercises that help our brains think better. These brain workouts push us to think harder, look at things closely, and ask many questions.

It's not always about finding the "right" answer. Instead, it's about the journey of thinking and asking "why" or "how." Doing these exercises often helps us become better thinkers and makes us curious to know more about the world.

Now, let's look at some brain workouts to help us think better:

1. "What If" Scenarios

Imagine crazy things happening, like, "What if there was no internet for a month? What would we do?" These games help us think of new and different ideas.

Pick a hot topic. Argue one side of it and then try arguing the opposite. This makes us see different viewpoints and think deeply about a topic.

3. Analyze Visual Data

Check out charts or pictures with lots of numbers and info but no explanations. What story are they telling? This helps us get better at understanding information just by looking at it.

4. Mind Mapping

Write an idea in the center and then draw lines to related ideas. It's like making a map of your thoughts. This helps us see how everything is connected.

There's lots of mind-mapping software , but it's also nice to do this by hand.

5. Weekly Diary

Every week, write about what happened, the choices you made, and what you learned. Writing helps us think about our actions and how we can do better.

6. Evaluating Information Sources

Collect stories or articles about one topic from newspapers or blogs. Which ones are trustworthy? Which ones might be a little biased? This teaches us to be smart about where we get our info.

There are many resources to help you determine if information sources are factual or not.

7. Socratic Questioning

This way of thinking is called the Socrates Method, named after an old-time thinker from Greece. It's about asking lots of questions to understand a topic. You can do this by yourself or chat with a friend.

Start with a Big Question:

"What does 'success' mean?"

Dive Deeper with More Questions:

"Why do you think of success that way?" "Do TV shows, friends, or family make you think that?" "Does everyone think about success the same way?"

"Can someone be a winner even if they aren't rich or famous?" "Can someone feel like they didn't succeed, even if everyone else thinks they did?"

Look for Real-life Examples:

"Who is someone you think is successful? Why?" "Was there a time you felt like a winner? What happened?"

Think About Other People's Views:

"How might a person from another country think about success?" "Does the idea of success change as we grow up or as our life changes?"

Think About What It Means:

"How does your idea of success shape what you want in life?" "Are there problems with only wanting to be rich or famous?"

Look Back and Think:

"After talking about this, did your idea of success change? How?" "Did you learn something new about what success means?"

8. Six Thinking Hats 

Edward de Bono came up with a cool way to solve problems by thinking in six different ways, like wearing different colored hats. You can do this independently, but it might be more effective in a group so everyone can have a different hat color. Each color has its way of thinking:

White Hat (Facts): Just the facts! Ask, "What do we know? What do we need to find out?"

Red Hat (Feelings): Talk about feelings. Ask, "How do I feel about this?"

Black Hat (Careful Thinking): Be cautious. Ask, "What could go wrong?"

Yellow Hat (Positive Thinking): Look on the bright side. Ask, "What's good about this?"

Green Hat (Creative Thinking): Think of new ideas. Ask, "What's another way to look at this?"

Blue Hat (Planning): Organize the talk. Ask, "What should we do next?"

When using this method with a group:

• Explain all the hats.
• Decide which hat to wear first.
• Make sure everyone switches hats at the same time.
• Finish with the Blue Hat to plan the next steps.

9. SWOT Analysis

SWOT Analysis is like a game plan for businesses to know where they stand and where they should go. "SWOT" stands for Strengths, Weaknesses, Opportunities, and Threats.

There are a lot of SWOT templates out there for how to do this visually, but you can also think it through. It doesn't just apply to businesses but can be a good way to decide if a project you're working on is working.

Strengths: What's working well? Ask, "What are we good at?"

Weaknesses: Where can we do better? Ask, "Where can we improve?"

Opportunities: What good things might come our way? Ask, "What chances can we grab?"

Threats: What challenges might we face? Ask, "What might make things tough for us?"

Steps to do a SWOT Analysis:

• Goal: Decide what you want to find out.
• Research: Learn about your business and the world around it.
• Brainstorm: Get a group and think together. Talk about strengths, weaknesses, opportunities, and threats.
• Pick the Most Important Points: Some things might be more urgent or important than others.
• Make a Plan: Decide what to do based on your SWOT list.
• Check Again Later: Things change, so look at your SWOT again after a while to update it.

Now that you have a few tools for thinking critically, let’s get into some specific examples.

Everyday Examples

Life is a series of decisions. From the moment we wake up, we're faced with choices – some trivial, like choosing a breakfast cereal, and some more significant, like buying a home or confronting an ethical dilemma at work. While it might seem that these decisions are disparate, they all benefit from the application of critical thinking.

10. Deciding to buy something

Imagine you want a new phone. Don't just buy it because the ad looks cool. Think about what you need in a phone. Look up different phones and see what people say about them. Choose the one that's the best deal for what you want.

11. Deciding what is true

There's a lot of news everywhere. Don't believe everything right away. Think about why someone might be telling you this. Check if what you're reading or watching is true. Make up your mind after you've looked into it.

12. Deciding when you’re wrong

Sometimes, friends can have disagreements. Don't just get mad right away. Try to see where they're coming from. Talk about what's going on. Find a way to fix the problem that's fair for everyone.

13. Deciding what to eat

There's always a new diet or exercise that's popular. Don't just follow it because it's trendy. Find out if it's good for you. Ask someone who knows, like a doctor. Make choices that make you feel good and stay healthy.

14. Deciding what to do today

Everyone is busy with school, chores, and hobbies. Make a list of things you need to do. Decide which ones are most important. Plan your day so you can get things done and still have fun.

15. Making Tough Choices

Sometimes, it's hard to know what's right. Think about how each choice will affect you and others. Talk to people you trust about it. Choose what feels right in your heart and is fair to others.

16. Planning for the Future

Big decisions, like where to go to school, can be tricky. Think about what you want in the future. Look at the good and bad of each choice. Talk to people who know about it. Pick what feels best for your dreams and goals.

Job Examples

17. solving problems.

Workers brainstorm ways to fix a machine quickly without making things worse when a machine breaks at a factory.

18. Decision Making

A store manager decides which products to order more of based on what's selling best.

19. Setting Goals

A team leader helps their team decide what tasks are most important to finish this month and which can wait.

20. Evaluating Ideas

At a team meeting, everyone shares ideas for a new project. The group discusses each idea's pros and cons before picking one.

21. Handling Conflict

Two workers disagree on how to do a job. Instead of arguing, they talk calmly, listen to each other, and find a solution they both like.

22. Improving Processes

A cashier thinks of a faster way to ring up items so customers don't have to wait as long.

23. Asking Questions

Before starting a big task, an employee asks for clear instructions and checks if they have the necessary tools.

24. Checking Facts

Before presenting a report, someone double-checks all their information to make sure there are no mistakes.

25. Planning for the Future

A business owner thinks about what might happen in the next few years, like new competitors or changes in what customers want, and makes plans based on those thoughts.

26. Understanding Perspectives

A team is designing a new toy. They think about what kids and parents would both like instead of just what they think is fun.

School Examples

27. researching a topic.

For a history project, a student looks up different sources to understand an event from multiple viewpoints.

28. Debating an Issue

In a class discussion, students pick sides on a topic, like school uniforms, and share reasons to support their views.

29. Evaluating Sources

While writing an essay, a student checks if the information from a website is trustworthy or might be biased.

30. Problem Solving in Math

When stuck on a tricky math problem, a student tries different methods to find the answer instead of giving up.

31. Analyzing Literature

In English class, students discuss why a character in a book made certain choices and what those decisions reveal about them.

32. Testing a Hypothesis

For a science experiment, students guess what will happen and then conduct tests to see if they're right or wrong.

33. Giving Peer Feedback

After reading a classmate's essay, a student offers suggestions for improving it.

34. Questioning Assumptions

In a geography lesson, students consider why certain countries are called "developed" and what that label means.

35. Designing a Study

For a psychology project, students plan an experiment to understand how people's memories work and think of ways to ensure accurate results.

36. Interpreting Data

In a science class, students look at charts and graphs from a study, then discuss what the information tells them and if there are any patterns.

Critical Thinking Puzzles

Not all scenarios will have a single correct answer that can be figured out by thinking critically. Sometimes we have to think critically about ethical choices or moral behaviors. 

Here are some mind games and scenarios you can solve using critical thinking. You can see the solution(s) at the end of the post.

37. The Farmer, Fox, Chicken, and Grain Problem

A farmer is at a riverbank with a fox, a chicken, and a grain bag. He needs to get all three items across the river. However, his boat can only carry himself and one of the three items at a time. 

Here's the challenge:

• If the fox is left alone with the chicken, the fox will eat the chicken.
• If the chicken is left alone with the grain, the chicken will eat the grain.

How can the farmer get all three items across the river without any item being eaten? 

38. The Rope, Jar, and Pebbles Problem

You are in a room with two long ropes hanging from the ceiling. Each rope is just out of arm's reach from the other, so you can't hold onto one rope and reach the other simultaneously. 

Your task is to tie the two rope ends together, but you can't move the position where they hang from the ceiling.

You are given a jar full of pebbles. How do you complete the task?

39. The Two Guards Problem

Imagine there are two doors. One door leads to certain doom, and the other leads to freedom. You don't know which is which.

In front of each door stands a guard. One guard always tells the truth. The other guard always lies. You don't know which guard is which.

You can ask only one question to one of the guards. What question should you ask to find the door that leads to freedom?

40. The Hourglass Problem

You have two hourglasses. One measures 7 minutes when turned over, and the other measures 4 minutes. Using just these hourglasses, how can you time exactly 9 minutes?

41. The Lifeboat Dilemma

Imagine you're on a ship that's sinking. You get on a lifeboat, but it's already too full and might flip over. 

Nearby in the water, five people are struggling: a scientist close to finding a cure for a sickness, an old couple who've been together for a long time, a mom with three kids waiting at home, and a tired teenager who helped save others but is now in danger. 

You can only save one person without making the boat flip. Who would you choose?

42. The Tech Dilemma

You work at a tech company and help make a computer program to help small businesses. You're almost ready to share it with everyone, but you find out there might be a small chance it has a problem that could show users' private info. 

If you decide to fix it, you must wait two more months before sharing it. But your bosses want you to share it now. What would you do?

43. The History Mystery

Dr. Amelia is a history expert. She's studying where a group of people traveled long ago. She reads old letters and documents to learn about it. But she finds some letters that tell a different story than what most people believe. 

If she says this new story is true, it could change what people learn in school and what they think about history. What should she do?

The Role of Bias in Critical Thinking

Have you ever decided you don’t like someone before you even know them? Or maybe someone shared an idea with you that you immediately loved without even knowing all the details. 

This experience is called bias, which occurs when you like or dislike something or someone without a good reason or knowing why. It can also take shape in certain reactions to situations, like a habit or instinct. 

Bias comes from our own experiences, what friends or family tell us, or even things we are born believing. Sometimes, bias can help us stay safe, but other times it stops us from seeing the truth.

Not all bias is bad. Bias can be a mechanism for assessing our potential safety in a new situation. If we are biased to think that anything long, thin, and curled up is a snake, we might assume the rope is something to be afraid of before we know it is just a rope.

While bias might serve us in some situations (like jumping out of the way of an actual snake before we have time to process that we need to be jumping out of the way), it often harms our ability to think critically.

How Bias Gets in the Way of Good Thinking

Selective Perception: We only notice things that match our ideas and ignore the rest. 

It's like only picking red candies from a mixed bowl because you think they taste the best, but they taste the same as every other candy in the bowl. It could also be when we see all the signs that our partner is cheating on us but choose to ignore them because we are happy the way we are (or at least, we think we are).

Agreeing with Yourself: This is called “ confirmation bias ” when we only listen to ideas that match our own and seek, interpret, and remember information in a way that confirms what we already think we know or believe. 

An example is when someone wants to know if it is safe to vaccinate their children but already believes that vaccines are not safe, so they only look for information supporting the idea that vaccines are bad.

Thinking We Know It All: Similar to confirmation bias, this is called “overconfidence bias.” Sometimes we think our ideas are the best and don't listen to others. This can stop us from learning.

Have you ever met someone who you consider a “know it”? Probably, they have a lot of overconfidence bias because while they may know many things accurately, they can’t know everything. Still, if they act like they do, they show overconfidence bias.

There's a weird kind of bias similar to this called the Dunning Kruger Effect, and that is when someone is bad at what they do, but they believe and act like they are the best .

Following the Crowd: This is formally called “groupthink”. It's hard to speak up with a different idea if everyone agrees. But this can lead to mistakes.

An example of this we’ve all likely seen is the cool clique in primary school. There is usually one person that is the head of the group, the “coolest kid in school”, and everyone listens to them and does what they want, even if they don’t think it’s a good idea.

How to Overcome Biases

Here are a few ways to learn to think better, free from our biases (or at least aware of them!).

Know Your Biases: Realize that everyone has biases. If we know about them, we can think better.

Listen to Different People: Talking to different kinds of people can give us new ideas.

Ask Why: Always ask yourself why you believe something. Is it true, or is it just a bias?

Understand Others: Try to think about how others feel. It helps you see things in new ways.

Keep Learning: Always be curious and open to new information.

In today's world, everything changes fast, and there's so much information everywhere. This makes critical thinking super important. It helps us distinguish between what's real and what's made up. It also helps us make good choices. But thinking this way can be tough sometimes because of biases. These are like sneaky thoughts that can trick us. The good news is we can learn to see them and think better.

There are cool tools and ways we've talked about, like the "Socratic Questioning" method and the "Six Thinking Hats." These tools help us get better at thinking. These thinking skills can also help us in school, work, and everyday life.

We’ve also looked at specific scenarios where critical thinking would be helpful, such as deciding what diet to follow and checking facts.

Thinking isn't just a skill—it's a special talent we improve over time. Working on it lets us see things more clearly and understand the world better. So, keep practicing and asking questions! It'll make you a smarter thinker and help you see the world differently.

Critical Thinking Puzzles (Solutions)

The farmer, fox, chicken, and grain problem.

• The farmer first takes the chicken across the river and leaves it on the other side.
• He returns to the original side and takes the fox across the river.
• After leaving the fox on the other side, he returns the chicken to the starting side.
• He leaves the chicken on the starting side and takes the grain bag across the river.
• He leaves the grain with the fox on the other side and returns to get the chicken.
• The farmer takes the chicken across, and now all three items -- the fox, the chicken, and the grain -- are safely on the other side of the river.

The Rope, Jar, and Pebbles Problem

• Take one rope and tie the jar of pebbles to its end.
• Swing the rope with the jar in a pendulum motion.
• While the rope is swinging, grab the other rope and wait.
• As the swinging rope comes back within reach due to its pendulum motion, grab it.
• With both ropes within reach, untie the jar and tie the rope ends together.

The Two Guards Problem

The question is, "What would the other guard say is the door to doom?" Then choose the opposite door.

The Hourglass Problem

• Start both hourglasses. 
• When the 4-minute hourglass runs out, turn it over.
• When the 7-minute hourglass runs out, the 4-minute hourglass will have been running for 3 minutes. Turn the 7-minute hourglass over. 
• When the 4-minute hourglass runs out for the second time (a total of 8 minutes have passed), the 7-minute hourglass will run for 1 minute. Turn the 7-minute hourglass again for 1 minute to empty the hourglass (a total of 9 minutes passed).

The Boat and Weights Problem

Take the cat over first and leave it on the other side. Then, return and take the fish across next. When you get there, take the cat back with you. Leave the cat on the starting side and take the cat food across. Lastly, return to get the cat and bring it to the other side.

The Lifeboat Dilemma

There isn’t one correct answer to this problem. Here are some elements to consider:

• Moral Principles: What values guide your decision? Is it the potential greater good for humanity (the scientist)? What is the value of long-standing love and commitment (the elderly couple)? What is the future of young children who depend on their mothers? Or the selfless bravery of the teenager?
• Future Implications: Consider the future consequences of each choice. Saving the scientist might benefit millions in the future, but what moral message does it send about the value of individual lives?
• Emotional vs. Logical Thinking: While it's essential to engage empathy, it's also crucial not to let emotions cloud judgment entirely. For instance, while the teenager's bravery is commendable, does it make him more deserving of a spot on the boat than the others?
• Acknowledging Uncertainty: The scientist claims to be close to a significant breakthrough, but there's no certainty. How does this uncertainty factor into your decision?
• Personal Bias: Recognize and challenge any personal biases, such as biases towards age, profession, or familial status.

The Tech Dilemma

Again, there isn’t one correct answer to this problem. Here are some elements to consider:

• Evaluate the Risk: How severe is the potential vulnerability? Can it be easily exploited, or would it require significant expertise? Even if the circumstances are rare, what would be the consequences if the vulnerability were exploited?
• Stakeholder Considerations: Different stakeholders will have different priorities. Upper management might prioritize financial projections, the marketing team might be concerned about the product's reputation, and customers might prioritize the security of their data. How do you balance these competing interests?
• Short-Term vs. Long-Term Implications: While launching on time could meet immediate financial goals, consider the potential long-term damage to the company's reputation if the vulnerability is exploited. Would the short-term gains be worth the potential long-term costs?
• Ethical Implications : Beyond the financial and reputational aspects, there's an ethical dimension to consider. Is it right to release a product with a known vulnerability, even if the chances of it being exploited are low?
• Seek External Input: Consulting with cybersecurity experts outside your company might be beneficial. They could provide a more objective risk assessment and potential mitigation strategies.
• Communication: How will you communicate the decision, whatever it may be, both internally to your team and upper management and externally to your customers and potential users?

The History Mystery

Dr. Amelia should take the following steps:

• Verify the Letters: Before making any claims, she should check if the letters are actual and not fake. She can do this by seeing when and where they were written and if they match with other things from that time.
• Get a Second Opinion: It's always good to have someone else look at what you've found. Dr. Amelia could show the letters to other history experts and see their thoughts.
• Research More: Maybe there are more documents or letters out there that support this new story. Dr. Amelia should keep looking to see if she can find more evidence.
• Share the Findings: If Dr. Amelia believes the letters are true after all her checks, she should tell others. This can be through books, talks, or articles.
• Stay Open to Feedback: Some people might agree with Dr. Amelia, and others might not. She should listen to everyone and be ready to learn more or change her mind if new information arises.

Ultimately, Dr. Amelia's job is to find out the truth about history and share it. It's okay if this new truth differs from what people used to believe. History is about learning from the past, no matter the story.

Related posts:

• Experimenter Bias (Definition + Examples)
• Hasty Generalization Fallacy (31 Examples + Similar Names)
• Ad Hoc Fallacy (29 Examples + Other Names)
• Confirmation Bias (Examples + Definition)
• Equivocation Fallacy (26 Examples + Description)

Reference this article:

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Pursuing Truth: A Guide to Critical Thinking

Chapter 2 arguments.

The fundamental tool of the critical thinker is the argument. For a good example of what we are not talking about, consider a bit from a famous sketch by Monty Python’s Flying Circus : 3

2.1 Identifying Arguments

People often use “argument” to refer to a dispute or quarrel between people. In critical thinking, an argument is defined as

A set of statements, one of which is the conclusion and the others are the premises.

There are three important things to remember here:

• Arguments contain statements.
• They have a conclusion.
• They have at least one premise

Arguments contain statements, or declarative sentences. Statements, unlike questions or commands, have a truth value. Statements assert that the world is a particular way; questions do not. For example, if someone asked you what you did after dinner yesterday evening, you wouldn’t accuse them of lying. When the world is the way that the statement says that it is, we say that the statement is true. If the statement is not true, it is false.

One of the statements in the argument is called the conclusion. The conclusion is the statement that is intended to be proved. Consider the following argument:

Calculus II will be no harder than Calculus I. Susan did well in Calculus I. So, Susan should do well in Calculus II.

Here the conclusion is that Susan should do well in Calculus II. The other two sentences are premises. Premises are the reasons offered for believing that the conclusion is true.

2.1.1 Standard Form

Now, to make the argument easier to evaluate, we will put it into what is called “standard form.” To put an argument in standard form, write each premise on a separate, numbered line. Draw a line underneath the last premise, the write the conclusion underneath the line.

• Calculus II will be no harder than Calculus I.
• Susan did well in Calculus I.
• Susan should do well in Calculus II.

Now that we have the argument in standard form, we can talk about premise 1, premise 2, and all clearly be referring to the same thing.

2.1.2 Indicator Words

Unfortunately, when people present arguments, they rarely put them in standard form. So, we have to decide which statement is intended to be the conclusion, and which are the premises. Don’t make the mistake of assuming that the conclusion comes at the end. The conclusion is often at the beginning of the passage, but could even be in the middle. A better way to identify premises and conclusions is to look for indicator words. Indicator words are words that signal that statement following the indicator is a premise or conclusion. The example above used a common indicator word for a conclusion, ‘so.’ The other common conclusion indicator, as you can probably guess, is ‘therefore.’ This table lists the indicator words you might encounter.

Each argument will likely use only one indicator word or phrase. When the conlusion is at the end, it will generally be preceded by a conclusion indicator. Everything else, then, is a premise. When the conclusion comes at the beginning, the next sentence will usually be introduced by a premise indicator. All of the following sentences will also be premises.

For example, here’s our previous argument rewritten to use a premise indicator:

Susan should do well in Calculus II, because Calculus II will be no harder than Calculus I, and Susan did well in Calculus I.

Sometimes, an argument will contain no indicator words at all. In that case, the best thing to do is to determine which of the premises would logically follow from the others. If there is one, then it is the conclusion. Here is an example:

Spot is a mammal. All dogs are mammals, and Spot is a dog.

The first sentence logically follows from the others, so it is the conclusion. When using this method, we are forced to assume that the person giving the argument is rational and logical, which might not be true.

2.1.3 Non-Arguments

One thing that complicates our task of identifying arguments is that there are many passages that, although they look like arguments, are not arguments. The most common types are:

• Explanations
• Mere asssertions
• Conditional statements
• Loosely connected statements

Explanations can be tricky, because they often use one of our indicator words. Consider this passage:

Abraham Lincoln died because he was shot.

If this were an argument, then the conclusion would be that Abraham Lincoln died, since the other statement is introduced by a premise indicator. If this is an argument, though, it’s a strange one. Do you really think that someone would be trying to prove that Abraham Lincoln died? Surely everyone knows that he is dead. On the other hand, there might be people who don’t know how he died. This passage does not attempt to prove that something is true, but instead attempts to explain why it is true. To determine if a passage is an explanation or an argument, first find the statement that looks like the conclusion. Next, ask yourself if everyone likely already believes that statement to be true. If the answer to that question is yes, then the passage is an explanation.

Mere assertions are obviously not arguments. If a professor tells you simply that you will not get an A in her course this semester, she has not given you an argument. This is because she hasn’t given you any reasons to believe that the statement is true. If there are no premises, then there is no argument.

Conditional statements are sentences that have the form “If…, then….” A conditional statement asserts that if something is true, then something else would be true also. For example, imagine you are told, “If you have the winning lottery ticket, then you will win ten million dollars.” What is being claimed to be true, that you have the winning lottery ticket, or that you will win ten million dollars? Neither. The only thing claimed is the entire conditional. Conditionals can be premises, and they can be conclusions. They can be parts of arguments, but that cannot, on their own, be arguments themselves.

Finally, consider this passage:

I woke up this morning, then took a shower and got dressed. After breakfast, I worked on chapter 2 of the critical thinking text. I then took a break and drank some more coffee….

This might be a description of my day, but it’s not an argument. There’s nothing in the passage that plays the role of a premise or a conclusion. The passage doesn’t attempt to prove anything. Remember that arguments need a conclusion, there must be something that is the statement to be proved. Lacking that, it simply isn’t an argument, no matter how much it looks like one.

2.2 Evaluating Arguments

The first step in evaluating an argument is to determine what kind of argument it is. We initially categorize arguments as either deductive or inductive, defined roughly in terms of their goals. In deductive arguments, the truth of the premises is intended to absolutely establish the truth of the conclusion. For inductive arguments, the truth of the premises is only intended to establish the probable truth of the conclusion. We’ll focus on deductive arguments first, then examine inductive arguments in later chapters.

Once we have established that an argument is deductive, we then ask if it is valid. To say that an argument is valid is to claim that there is a very special logical relationship between the premises and the conclusion, such that if the premises are true, then the conclusion must also be true. Another way to state this is

An argument is valid if and only if it is impossible for the premises to be true and the conclusion false.

An argument is invalid if and only if it is not valid.

Note that claiming that an argument is valid is not the same as claiming that it has a true conclusion, nor is it to claim that the argument has true premises. Claiming that an argument is valid is claiming nothing more that the premises, if they were true , would be enough to make the conclusion true. For example, is the following argument valid or not?

• If pigs fly, then an increase in the minimum wage will be approved next term.
• An increase in the minimum wage will be approved next term.

The argument is indeed valid. If the two premises were true, then the conclusion would have to be true also. What about this argument?

• All dogs are mammals
• Spot is a mammal.
• Spot is a dog.

In this case, both of the premises are true and the conclusion is true. The question to ask, though, is whether the premises absolutely guarantee that the conclusion is true. The answer here is no. The two premises could be true and the conclusion false if Spot were a cat, whale, etc.

Neither of these arguments are good. The second fails because it is invalid. The two premises don’t prove that the conclusion is true. The first argument is valid, however. So, the premises would prove that the conclusion is true, if those premises were themselves true. Unfortunately, (or fortunately, I guess, considering what would be dropping from the sky) pigs don’t fly.

These examples give us two important ways that deductive arguments can fail. The can fail because they are invalid, or because they have at least one false premise. Of course, these are not mutually exclusive, an argument can be both invalid and have a false premise.

If the argument is valid, and has all true premises, then it is a sound argument. Sound arguments always have true conclusions.

A deductively valid argument with all true premises.

Inductive arguments are never valid, since the premises only establish the probable truth of the conclusion. So, we evaluate inductive arguments according to their strength. A strong inductive argument is one in which the truth of the premises really do make the conclusion probably true. An argument is weak if the truth of the premises fail to establish the probable truth of the conclusion.

There is a significant difference between valid/invalid and strong/weak. If an argument is not valid, then it is invalid. The two categories are mutually exclusive and exhaustive. There can be no such thing as an argument being more valid than another valid argument. Validity is all or nothing. Inductive strength, however, is on a continuum. A strong inductive argument can be made stronger with the addition of another premise. More evidence can raise the probability of the conclusion. A valid argument cannot be made more valid with an additional premise. Why not? If the argument is valid, then the premises were enough to absolutely guarantee the truth of the conclusion. Adding another premise won’t give any more guarantee of truth than was already there. If it could, then the guarantee wasn’t absolute before, and the original argument wasn’t valid in the first place.

2.3 Counterexamples

One way to prove an argument to be invalid is to use a counterexample. A counterexample is a consistent story in which the premises are true and the conclusion false. Consider the argument above:

By pointing out that Spot could have been a cat, I have told a story in which the premises are true, but the conclusion is false.

Here’s another one:

• If it is raining, then the sidewalks are wet.
• The sidewalks are wet.
• It is raining.

The sprinklers might have been on. If so, then the sidewalks would be wet, even if it weren’t raining.

Counterexamples can be very useful for demonstrating invalidity. Keep in mind, though, that validity can never be proved with the counterexample method. If the argument is valid, then it will be impossible to give a counterexample to it. If you can’t come up with a counterexample, however, that does not prove the argument to be valid. It may only mean that you’re not creative enough.

• An argument is a set of statements; one is the conclusion, the rest are premises.
• The conclusion is the statement that the argument is trying to prove.
• The premises are the reasons offered for believing the conclusion to be true.
• Explanations, conditional sentences, and mere assertions are not arguments.
• Deductive reasoning attempts to absolutely guarantee the truth of the conclusion.
• Inductive reasoning attempts to show that the conclusion is probably true.
• In a valid argument, it is impossible for the premises to be true and the conclusion false.
• In an invalid argument, it is possible for the premises to be true and the conclusion false.
• A sound argument is valid and has all true premises.
• An inductively strong argument is one in which the truth of the premises makes the the truth of the conclusion probable.
• An inductively weak argument is one in which the truth of the premises do not make the conclusion probably true.
• A counterexample is a consistent story in which the premises of an argument are true and the conclusion is false. Counterexamples can be used to prove that arguments are deductively invalid.

( Cleese and Chapman 1980 ) . ↩︎

2 Logic and the Study of Arguments

If we want to study how we ought to reason (normative) we should start by looking at the primary way that we do reason (descriptive): through the use of arguments. In order to develop a theory of good reasoning, we will start with an account of what an argument is and then proceed to talk about what constitutes a “good” argument.

I. Arguments

• Arguments are a set of statements (premises and conclusion).
• The premises provide evidence, reasons, and grounds for the conclusion.
• The conclusion is what is being argued for.
• An argument attempts to draw some logical connection between the premises and the conclusion.
• And in doing so, the argument expresses an inference: a process of reasoning from the truth of the premises to the truth of the conclusion.

Example : The world will end on August 6, 2045. I know this because my dad told me so and my dad is smart.

In this instance, the conclusion is the first sentence (“The world will end…”); the premises (however dubious) are revealed in the second sentence (“I know this because…”).

II. Statements

Conclusions and premises are articulated in the form of statements . Statements are sentences that can be determined to possess or lack truth. Some examples of true-or-false statements can be found below. (Notice that while some statements are categorically true or false, others may or may not be true depending on when they are made or who is making them.)

Examples of sentences that are statements:

• It is below 40°F outside.
• Oklahoma is north of Texas.
• The Denver Broncos will make it to the Super Bowl.
• Russell Westbrook is the best point guard in the league.
• I like broccoli.
• I shouldn’t eat French fries.
• Time travel is possible.
• If time travel is possible, then you can be your own father or mother.

However, there are many sentences that cannot so easily be determined to be true or false. For this reason, these sentences identified below are not considered statements.

• Questions: “What time is it?”
• Commands: “Do your homework.”
• Requests: “Please clean the kitchen.”
• Proposals: “Let’s go to the museum tomorrow.”

Question: Why are arguments only made up of statements?

First, we only believe statements . It doesn’t make sense to talk about believing questions, commands, requests or proposals. Contrast sentences on the left that are not statements with sentences on the right that are statements:

It would be non-sensical to say that we believe the non-statements (e.g. “I believe what time is it?”). But it makes perfect sense to say that we believe the statements (e.g. “I believe the time is 11 a.m.”). If conclusions are the statements being argued for, then they are also ideas we are being persuaded to believe. Therefore, only statements can be conclusions.

Second, only statements can provide reasons to believe.

• Q: Why should I believe that it is 11:00 a.m.? A: Because the clock says it is 11a.m.
• Q: Why should I believe that we are going to the museum tomorrow? A: Because today we are making plans to go.

Sentences that cannot be true or false cannot provide reasons to believe. So, if premises are meant to provide reasons to believe, then only statements can be premises.

III. Representing Arguments

As we concern ourselves with arguments, we will want to represent our arguments in some way, indicating which statements are the premises and which statement is the conclusion. We shall represent arguments in two ways. For both ways, we will number the premises.

In order to identify the conclusion, we will either label the conclusion with a (c) or (conclusion). Or we will mark the conclusion with the ∴ symbol

Example Argument:

There will be a war in the next year. I know this because there has been a massive buildup in weapons. And every time there is a massive buildup in weapons, there is a war. My guru said the world will end on August 6, 2045.

• There has been a massive buildup in weapons.
• Every time there has been a massive buildup in weapons, there is a war.

(c) There will be a war in the next year.

∴ There will be a war in the next year.

Of course, arguments do not come labeled as such. And so we must be able to look at a passage and identify whether the passage contains an argument and if it does, we should also be identify which statements are the premises and which statement is the conclusion. This is harder than you might think!

There is no argument here. There is no statement being argued for. There are no statements being used as reasons to believe. This is simply a report of information.

The following are also not arguments:

Advice: Be good to your friends; your friends will be good to you.

Warnings: No lifeguard on duty. Be careful.

Associated claims: Fear leads to anger. Anger leads to the dark side.

When you have an argument, the passage will express some process of reasoning. There will be statements presented that serve to help the speaker building a case for the conclusion.

IV. How to L ook for A rguments [1]

How do we identify arguments in real life? There are no easy, mechanical rules, and we usually have to rely on the context in order to determine which are the premises and the conclusions. But sometimes the job can be made easier by the presence of certain premise or conclusion indicators. For example, if a person makes a statement, and then adds “this is because …,” then it is quite likely that the first statement is presented as a conclusion, supported by the statements that come afterward. Other words in English that might be used to indicate the premises to follow include:

• firstly, secondly, …
• for, as, after all
• assuming that, in view of the fact that
• follows from, as shown / indicated by
• may be inferred / deduced / derived from

Of course whether such words are used to indicate premises or not depends on the context. For example, “since” has a very different function in a statement like “I have been here since noon,” unlike “X is an even number since X is divisible by 4.” In the first instance (“since noon”) “since” means “from.” In the second instance, “since” means “because.”

Conclusions, on the other hand, are often preceded by words like:

• therefore, so, it follows that
• hence, consequently
• suggests / proves / demonstrates that
• entails, implies

Here are some examples of passages that do not contain arguments.

1. When people sweat a lot they tend to drink more water. [Just a single statement, not enough to make an argument.]

2. Once upon a time there was a prince and a princess. They lived happily together and one day they decided to have a baby. But the baby grew up to be a nasty and cruel person and they regret it very much. [A chronological description of facts composed of statements but no premise or conclusion.]

3. Can you come to the meeting tomorrow? [A question that does not contain an argument.]

Do these passages contain arguments? If so, what are their conclusions?

• Cutting the interest rate will have no effect on the stock market this time around, as people have been expecting a rate cut all along. This factor has already been reflected in the market.
• So it is raining heavily and this building might collapse. But I don’t really care.
• Virgin would then dominate the rail system. Is that something the government should worry about? Not necessarily. The industry is regulated, and one powerful company might at least offer a more coherent schedule of services than the present arrangement has produced. The reason the industry was broken up into more than 100 companies at privatization was not operational, but political: the Conservative government thought it would thus be harder to renationalize (The Economist 12/16/2000).
• Bill will pay the ransom. After all, he loves his wife and children and would do everything to save them.
• All of Russia’s problems of human rights and democracy come back to three things: the legislature, the executive and the judiciary. None works as well as it should. Parliament passes laws in a hurry, and has neither the ability nor the will to call high officials to account. State officials abuse human rights (either on their own, or on orders from on high) and work with remarkable slowness and disorganization. The courts almost completely fail in their role as the ultimate safeguard of freedom and order (The Economist 11/25/2000).
• Most mornings, Park Chang Woo arrives at a train station in central Seoul, South Korea’s capital. But he is not commuter. He is unemployed and goes there to kill time. Around him, dozens of jobless people pass their days drinking soju, a local version of vodka. For the moment, middle-aged Mr. Park would rather read a newspaper. He used to be a bricklayer for a small construction company in Pusan, a southern port city. But three years ago the country’s financial crisis cost him that job, so he came to Seoul, leaving his wife and two children behind. Still looking for work, he has little hope of going home any time soon (The Economist 11/25/2000).
• For a long time, astronomers suspected that Europa, one of Jupiter’s many moons, might harbour a watery ocean beneath its ice-covered surface. They were right. Now the technique used earlier this year to demonstrate the existence of the Europan ocean has been employed to detect an ocean on another Jovian satellite, Ganymede, according to work announced at the recent American Geo-physical Union meeting in San Francisco (The Economist 12/16/2000).
• There are no hard numbers, but the evidence from Asia’s expatriate community is unequivocal. Three years after its handover from Britain to China, Hong Kong is unlearning English. The city’s gweilos (Cantonese for “ghost men”) must go to ever greater lengths to catch the oldest taxi driver available to maximize their chances of comprehension. Hotel managers are complaining that they can no longer find enough English-speakers to act as receptionists. Departing tourists, polled at the airport, voice growing frustration at not being understood (The Economist 1/20/2001).

V. Evaluating Arguments

Q: What does it mean for an argument to be good? What are the different ways in which arguments can be good? Good arguments:

• Are persuasive.
• Have premises that provide good evidence for the conclusion.
• Contain premises that are true.
• Reach a true conclusion.
• Provide the audience good reasons for accepting the conclusion.

The focus of logic is primarily about one type of goodness: The logical relationship between premises and conclusion.

An argument is good in this sense if the premises provide good evidence for the conclusion. But what does it mean for premises to provide good evidence? We need some new concepts to capture this idea of premises providing good logical support. In order to do so, we will first need to distinguish between two types of argument.

VI. Two Types of Arguments

The two main types of arguments are called deductive and inductive arguments. We differentiate them in terms of the type of support that the premises are meant to provide for the conclusion.

Deductive Arguments are arguments in which the premises are meant to provide conclusive logical support for the conclusion.

1. All humans are mortal

2. Socrates is a human.

∴ Therefore, Socrates is mortal.

1. No student in this class will fail.

2. Mary is a student in this class.

∴ Therefore, Mary will not fail.

1. A intersects lines B and C.

2. Lines A and B form a 90-degree angle

3. Lines A and C form a 90-degree angle.

∴ B and C are parallel lines.

Inductive arguments are, by their very nature, risky arguments.

Arguments in which premises provide probable support for the conclusion.

Statistical Examples:

1. Ten percent of all customers in this restaurant order soda.

2. John is a customer.

∴ John will not order Soda..

1. Some students work on campus.

2. Bill is a student.

∴ Bill works on campus.

1. Vegas has the Carolina Panthers as a six-point favorite for the super bowl.

∴ Carolina will win the Super Bowl.

VII. Good Deductive Arguments

The First Type of Goodness: Premises play their function – they provide conclusive logical support.

Deductive and inductive arguments have different aims. Deductive argument attempt to provide conclusive support or reasons; inductive argument attempt to provide probable reasons or support. So we must evaluate these two types of arguments.

Deductive arguments attempt to be valid.

To put validity in another way: if the premises are true, then the conclusion must be true.

It is very important to note that validity has nothing to do with whether or not the premises are, in fact, true and whether or not the conclusion is in fact true; it merely has to do with a certain conditional claim. If the premises are true, then the conclusion must be true.

Q: What does this mean?

• The validity of an argument does not depend upon the actual world. Rather, it depends upon the world described by the premises.
• First, consider the world described by the premises. In this world, is it logically possible for the conclusion to be false? That is, can you even imagine a world in which the conclusion is false?

Reflection Questions:

• If you cannot, then why not?
• If you can, then provide an example of a valid argument.

You should convince yourself that validity is not just about the actual truth or falsity of the premises and conclusion. Rather, validity only has to do with a certain logical relationship between the truth of the premise and the truth of the conclusion. So the only possible combination that is ruled out by a valid argument is a set of true premises and false conclusion.

Let’s go back to example #1. Here are the premises:

1. All humans are mortal.

If both of these premises are true, then every human that we find must be a mortal. And this means, that it must be the case that if Socrates is a human, that Socrates is mortal.

Reflection Questions about Invalid Arguments:

• Can you have an invalid argument with a true premise?
• Can you have an invalid argument with true premises and a true conclusion?

The s econd type of goodness for deductive arguments: The premises provide us the right reasons to accept the conclusion.

Soundness V ersus V alidity:

Our original argument is a sound one:

∴ Socrates is mortal.

Question: Can a sound argument have a false conclusion?

VIII. From Deductive Arguments to Inductive Arguments

Question: What happens if we mix around the premises and conclusion?

2. Socrates is mortal.

∴ Socrates is a human.

1. Socrates is mortal

∴ All humans are mortal.

Are these valid deductive arguments?

NO, but they are common inductive arguments.

Other examples :

Suppose that there are two opaque glass jars with different color marbles in them.

1. All the marbles in jar #1 are blue.

2. This marble is blue.

∴ This marble came from jar #1.

1. This marble came from jar #2.

2. This marble is red.

∴ All the marbles in jar #2 are red.

While this is a very risky argument, what if we drew 100 marbles from jar #2 and found that they were all red? Would this affect the second argument’s validity?

IX. Inductive Arguments:

The aim of an inductive argument is different from the aim of deductive argument because the type of reasons we are trying to provide are different. Therefore, the function of the premises is different in deductive and inductive arguments. And again, we can split up goodness into two types when considering inductive arguments:

• The premises provide the right logical support.
• The premises provide the right type of reason.

Logical S upport:

Remember that for inductive arguments, the premises are intended to provide probable support for the conclusion. Thus, we shall begin by discussing a fairly rough, coarse-grained way of talking about probable support by introducing the notions of strong and weak inductive arguments.

A strong inductive argument:

• The vast majority of Europeans speak at least two languages.
• Sam is a European.

∴ Sam speaks two languages.

Weak inductive argument:

• This quarter is a fair coin.

∴ Therefore, the next coin flip will land heads.

• At least one dog in this town has rabies.
• Fido is a dog that lives in this town.

∴ Fido has rabies.

The R ight T ype of R easons. As we noted above, the right type of reasons are true statements. So what happens when we get an inductive argument that is good in the first sense (right type of logical support) and good in the second sense (the right type of reasons)? Corresponding to the notion of soundness for deductive arguments, we call inductive arguments that are good in both senses cogent arguments.

• With which of the following types of premises and conclusions can you have a strong inductive argument?
• With which of the following types of premises and conclusions can you have a cogent inductive argument?

X. Steps for Evaluating Arguments:

• Read a passage and assess whether or not it contains an argument.
• If it does contain an argument, then identify the conclusion and premises.
• If yes, then assess it for soundness.
• If not, then treat it as an inductive argument (step 3).
• If the inductive argument is strong, then is it cogent?

XI. Evaluating Real – World Arguments

An important part of evaluating arguments is not to represent the arguments of others in a deliberately weak way.

For example, suppose that I state the following:

All humans are mortal, so Socrates is mortal.

Is this valid? Not as it stands. But clearly, I believe that Socrates is a human being. Or I thought that was assumed in the conversation. That premise was clearly an implicit one.

So one of the things we can do in the evaluation of argument is to take an argument as it is stated, and represent it in a way such that it is a valid deductive argument or a strong inductive one. In doing so, we are making explicit what one would have to assume to provide a good argument (in the sense that the premises provide good – conclusive or probable – reason to accept the conclusion).

The teacher’s policy on extra credit was unfair because Sally was the only person to have a chance at receiving extra credit.

• Sally was the only person to have a chance at receiving extra credit.
• The teacher’s policy on extra credit is fair only if everyone gets a chance to receive extra credit.

Therefore, the teacher’s policy on extra credit was unfair.

Valid argument

Sally didn’t train very hard so she didn’t win the race.

• Sally didn’t train very hard.
• If you don’t train hard, you won’t win the race.

Therefore, Sally didn’t win the race.

Strong (not valid):

• If you won the race, you trained hard.
• Those who don’t train hard are likely not to win.

Therefore, Sally didn’t win.

Ordinary workers receive worker’s compensation benefits if they suffer an on-the-job injury. However, universities have no obligations to pay similar compensation to student athletes if they are hurt while playing sports. So, universities are not doing what they should.

• Ordinary workers receive worker’s compensation benefits if they suffer an on-the-job injury that prevents them working.
• Student athletes are just like ordinary workers except that their job is to play sports.
• So if student athletes are injured while playing sports, they should also be provided worker’s compensation benefits.
• Universities have no obligations to provide injured student athletes compensation.

Therefore, universities are not doing what they should.

Deductively valid argument

If Obama couldn’t implement a single-payer healthcare system in his first term as president, then the next president will not be able to implement a single-payer healthcare system.

• Obama couldn’t implement a single-payer healthcare system.
• In Obama’s first term as president, both the House and Senate were under Democratic control.
• The next president will either be dealing with the Republican-controlled house and senate or at best, a split legislature.
• Obama’s first term as president will be much easier than the next president’s term in terms of passing legislation.

Therefore, the next president will not be able to implement a single-payer healthcare system.

Strong inductive argument

Sam is weaker than John. Sam is slower than John. So Sam’s time on the obstacle will be slower than John’s.

• Sam is weaker than John.
• Sam is slower than John.
• A person’s strength and speed inversely correlate with their time on the obstacle course.

Therefore, Sam’s time will be slower than John’s.

XII. Diagramming Arguments

All the arguments we’ve dealt with – except for the last two – have been fairly simple in that the premises always provided direct support for the conclusion. But in many arguments, such as the last one, there are often arguments within arguments.

Obama example :

• The next president will either be dealing with the Republican controlled house and senate or at best, a split legislature.

∴ The next president will not be able to implement a single-payer healthcare system.

It’s clear that premises #2 and #3 are used in support of #4. And #1 in combination with #4 provides support for the conclusion.

When we diagram arguments, the aim is to represent the logical relationships between premises and conclusion. More specifically, we want to identify what each premise supports and how.

This represents that 2+3 together provide support for 4

This represents that 4+1 together provide support for 5

When we say that 2+3 together or 4+1 together support some statement, we mean that the logical support of these statements are dependent upon each other. Without the other, these statements would not provide evidence for the conclusion. In order to identify when statements are dependent upon one another, we simply underline the set that are logically dependent upon one another for their evidential support. Every argument has a single conclusion, which the premises support; therefore, every argument diagram should point to the conclusion (c).

Sam Example:

• Sam is less flexible than John.
• A person’s strength and flexibility inversely correlate with their time on the obstacle course.

∴ Therefore, Sam’s time will be slower than John’s.

In some cases, different sets of premises provide evidence for the conclusion independently of one another. In the argument above, there are two logically independent arguments for the conclusion that Sam’s time will be slower than John’s. That Sam is weaker than John and that being weaker correlates with a slower time provide evidence for the conclusion that Sam will be slower than John. Completely independent of this argument is the fact that Sam is less flexible and that being less flexible corresponds with a slower time. The diagram above represent these logical relations by showing that #1 and #3 dependently provide support for #4. Independent of that argument, #2 and #3 also dependently provide support for #4. Therefore, there are two logically independent sets of premises that provide support for the conclusion.

Try diagramming the following argument for yourself. The structure of the argument has been provided below:

• All humans are mortal
• Socrates is human
• So Socrates is mortal.
• If you feed a mortal person poison, he will die.

∴ Therefore, Socrates has been fed poison, so he will die.

• This section is taken from http://philosophy.hku.hk/think/ and is in use under creative commons license. Some modifications have been made to the original content. ↵

Critical Thinking Copyright © 2019 by Brian Kim is licensed under a Creative Commons Attribution 4.0 International License , except where otherwise noted.

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Arguments in Context

Thaddeus Robinson, Muhlenberg College

Copyright Year: 2021

Publisher: Muhlenberg College

Language: English

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Reviewed by Sarah Lonelodge, Assistant Professor of English/Writing Program Director, Eastern New Mexico University on 12/19/23

Robinson presents a very comprehensive text focused on critical thinking and the analysis and evaluation of arguments. Numerous forms of argument are presented, and the author offers useful tools that students will be able to apply. The text does... read more

Comprehensiveness rating: 4 see less

Robinson presents a very comprehensive text focused on critical thinking and the analysis and evaluation of arguments. Numerous forms of argument are presented, and the author offers useful tools that students will be able to apply. The text does not offer students explicit instruction in creating or writing arguments, but this goal is not mentioned as one of the aims of the text. However, it is clear that students would be able to develop thoughtful arguments after reading and interacting with this text. While an index/glossary is not provided, the author presents a summary and key terms in a summary portion for each section.

Content Accuracy rating: 5

The content looks accurate and unbiased to me. Robinson provides a thorough discussion of various methods and possibilities for argument identification, analysis, and evaluation. The examples employed throughout the chapters tend to be based on very neutral situations.

Relevance/Longevity rating: 4

Because the text is focused on critical thinking, I do not see it becoming obsolete any time soon. Perhaps a few of the examples will eventually need updates, but most are fairly timeless. Robinson also presents an effective discussion of media literacy with social media and web-based arguments. Again, this presentation is effective; however, the growth of social media and the expansion of platforms and apps will require updates in the near future to maintain relevance.

Clarity rating: 4

The content of the book is clear and well organized; however, some terminology may be difficult for some students to grasp easily. Depending on the level of student who is using this text, the language may not be an issue. For first- or second-year students, the style and word choice may cause some frustration or may require the use of a dictionary.

Consistency rating: 5

The book is very consistent in its use of language, examples, etc., and its organization/framework is easy to navigate. From chapter to chapter, students will know what to expect.

Modularity rating: 5

I think the book is well modulated. Robinson has created seven distinct units or sections, and each of them have 3-5 chapters of relatively similar length. The length may feel a bit long for some readers, but this determination will depend on the level of student assigned this text.

Organization/Structure/Flow rating: 5

Each unit/section is well organized into a text overall and would flow well from one concept to the next. Within each unit/section, the chapters follow a similarly effective organization pattern. I particularly appreciate the summaries at the end of each unit/section as these additions would likely offer students a clear picture of the outcomes of what they read.

Interface rating: 5

I don't see any interface or navigation issues. The display is well organized and easy to follow and read.

Grammatical Errors rating: 5

I didn't notice any grammatical issues.

Cultural Relevance rating: 5

I did not notice any culturally insensitive or offensive content. The few images used were neutral and typically more decorative than content specific. The examples utilized through the book were based on concepts that are unlikely to offend anyone, such as a sibling borrowing a vehicle, sports, calculating GPA, and similar topics.

I think this book would be very useful for upper-division college courses in which students would need to identify, analyze, and evaluate arguments. The text is very specific about types and uses of argumentation, and Robinson provides a number of quick, illustrative examples that would likely help readers comprehend the concepts presented.

Table of Contents

• I. An Introduction to Reasoning
• II. Argument Analysis
• III. An Introduction to Evaluation
• IV. An Introduction to Deductive Arguments
• V. Common Inductive Arguments
• VI. Social Arguments
• VII. Scientific Reasoning

Ancillary Material

About the book.

Arguments in Context is a comprehensive introduction to critical thinking that covers all the basics in student-friendly language.  Intended for use in a semester-long course, the text features classroom-tested examples and exercises that have been chosen to emphasize the relevance and applicability of the subject to everyday life.  Three themes are developed as the text proceeds from argument identification and analysis, to the standards and techniques of evaluation: (i) the importance of asking the right questions, (ii) the influence of biases, cognitive illusions, and other psychological factors, and (iii) the ways that social situations and structures can enhance and impoverish our thinking.  On this last point, the text includes sustained discussion of disagreement, cooperative dialogue, testimony, trust, and social media.  Overall, the text aims to equip readers with a set of tools for working through important decisions and disagreements, and to help them become more careful and active thinkers.

About the Contributors

Thaddeus Robinson . Associate Professor of Philosophy, Muhlenberg College

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Internet Encyclopedia of Philosophy

Critical thinking.

Critical Thinking is the process of using and assessing reasons to evaluate statements, assumptions, and arguments in ordinary situations. The goal of this process is to help us have good beliefs, where “good” means that our beliefs meet certain goals of thought, such as truth, usefulness, or rationality. Critical thinking is widely regarded as a species of informal logic, although critical thinking makes use of some formal methods. In contrast with formal reasoning processes that are largely restricted to deductive methods—decision theory, logic, statistics—the process of critical thinking allows a wide range of reasoning methods, including formal and informal logic, linguistic analysis, experimental methods of the sciences, historical and textual methods, and philosophical methods, such as Socratic questioning and reasoning by counterexample.

The goals of critical thinking are also more diverse than those of formal reasoning systems. While formal methods focus on deductive validity and truth, critical thinkers may evaluate a statement’s truth, its usefulness, its religious value, its aesthetic value, or its rhetorical value. Because critical thinking arose primarily from the Anglo-American philosophical tradition (also known as “analytic philosophy”), contemporary critical thinking is largely concerned with a statement’s truth. But some thinkers, such as Aristotle (in Rhetoric ), give substantial attention to rhetorical value.

The primary subject matter of critical thinking is the proper use and goals of a range of reasoning methods, how they are applied in a variety of social contexts, and errors in reasoning. This article also discusses the scope and virtues of critical thinking.

Critical thinking should not be confused with Critical Theory. Critical Theory refers to a way of doing philosophy that involves a moral critique of culture. A “critical” theory, in this sense, is a theory that attempts to disprove or discredit a widely held or influential idea or way of thinking in society. Thus, critical race theorists and critical gender theorists offer critiques of traditional views and latent assumptions about race and gender. Critical theorists may use critical thinking methodology, but their subject matter is distinct, and they also may offer critical analyses of critical thinking itself.

Table of Contents

• Argument and Evaluation
• Categorical Logic
• Propositional Logic
• Modal Logic
• Predicate Logic
• Other Formal Systems
• Generalization
• Causal Reasoning
• Formal Fallacies
• Informal Fallacies
• Heuristics and Biases
• The Principle of Charity/Humility
• The Principle of Caution
• The Expansiveness of Critical Thinking
• Productivity and the Limits of Rationality
• Classical Approaches
• The Paul/Elder Model
• Other Approaches
• References and Further Reading

The process of evaluating a statement traditionally begins with making sure we understand it; that is, a statement must express a clear meaning. A statement is generally regarded as clear if it expresses a proposition , which is the meaning the author of that statement intends to express, including definitions, referents of terms, and indexicals, such as subject, context, and time. There is significant controversy over what sort of “entity” propositions are, whether abstract objects or linguistic constructions or something else entirely. Whatever its metaphysical status, it is used here simply to refer to whatever meaning a speaker intends to convey in a statement.

The difficulty with identifying intended propositions is that we typically speak and think in natural languages (English, Swedish, French), and natural languages can be misleading. For instance, two different sentences in the same natural language may express the same proposition, as in these two English sentences:

Jamie is taller than his father. Jamie’s father is shorter than he.

Further, the same sentence in a natural language can express more than one proposition depending on who utters it at a time:

I am shorter than my father right now.

The pronoun “I” is an indexical; it picks out, or “indexes,” whoever utters the sentence and, therefore, expresses a different proposition for each new speaker who utters it. Similarly, “right now” is a temporal indexical; it indexes the time the sentence is uttered. The proposition it is used to express changes each new time the sentence is uttered and, therefore, may have a different truth value at different times (as, say, the speaker grows taller: “I am now five feet tall” may be true today, but false a year from now). Other indexical terms that can affect the meaning of the sentence include other pronouns (he, she, it) and definite articles (that, the).

Further still, different sentences in different natural languages may express the same proposition . For example, all of the following express the proposition “Snow is white”:

Snow is white. (English)

Der Schnee ist weiss. (German)

La neige est blanche. (French)

La neve é bianca. (Italian)

Finally, statements in natural languages are often vague or ambiguous , either of which can obscure the propositions actually intended by their authors. And even in cases where they are not vague or ambiguous, statements’ truth values sometimes vary from context to context. Consider the following example.

The English statement, “It is heavy,” includes the pronoun “it,” which (when used without contextual clues) is ambiguous because it can index any impersonal subject. If, in this case, “it” refers to the computer on which you are reading this right now, its author intends to express the proposition, “The computer on which you are reading this right now is heavy.” Further, the term “heavy” reflects an unspecified standard of heaviness (again, if contextual clues are absent). Assuming we are talking about the computer, it may be heavy relative to other computer models but not to automobiles. Further still, even if we identify or invoke a standard of heaviness by which to evaluate the appropriateness of its use in this context, there may be no weight at which an object is rightly regarded as heavy according to that standard. (For instance, is an object heavy because it weighs 5.3 pounds but not if it weighs 5.2 pounds? Or is it heavy when it is heavier than a mouse but lighter than an anvil?) This means “heavy” is a vague term. In order to construct a precise statement, vague terms (heavy, cold, tall) must often be replaced with terms expressing an objective standard (pounds, temperature, feet).

Part of the challenge of critical thinking is to clearly identify the propositions (meanings) intended by those making statements so we can effectively reason about them. The rules of language help us identify when a term or statement is ambiguous or vague, but they cannot, by themselves, help us resolve ambiguity or vagueness. In many cases, this requires assessing the context in which the statement is made or asking the author what she intends by the terms. If we cannot discern the meaning from the context and we cannot ask the author, we may stipulate a meaning, but this requires charity, to stipulate a plausible meaning, and humility, to admit when we discover that our stipulation is likely mistaken.

2. Argument and Evaluation

Once we are satisfied that a statement is clear, we can begin evaluating it. A statement can be evaluated according to a variety of standards. Commonly, statements are evaluated for truth, usefulness, or rationality. The most common of these goals is truth, so that is the focus of this article.

The truth of a statement is most commonly evaluated in terms of its relation to other statements and direct experiences. If a statement follows from or can be inferred from other statements that we already have good reasons to believe, then we have a reason to believe that statement. For instance, the statement “The ball is blue” can be derived from “The ball is blue and round.” Similarly, if a statement seems true in light of, or is implied by, an experience, then we have a reason to believe that statement. For instance, the experience of seeing a red car is a reason to believe, “The car is red.” (Whether these reasons are good enough for us to believe is a further question about justification , which is beyond the scope of this article, but see “ Epistemic Justification .”) Any statement we derive in these ways is called a conclusion . Though we regularly form conclusions from other statements and experiences—often without thinking about it—there is still a question of whether these conclusions are true: Did we draw those conclusions well? A common way to evaluate the truth of a statement is to identify those statements and experiences that support our conclusions and organize them into structures called arguments . (See also, “ Argument .”)

An argument is one or more statements (called premises ) intended to support the truth of another statement (the conclusion ). Premises comprise the evidence offered in favor of the truth of a conclusion. It is important to entertain any premises that are intended to support a conclusion, even if the attempt is unsuccessful. Unsuccessful attempts at supporting a proposition constitute bad arguments, but they are still arguments. The support intended for the conclusion may be formal or informal. In a formal, or deductive, argument, an arguer intends to construct an argument such that, if the premises are true, the conclusion must be true. This strong relationship between premises and conclusion is called validity . This relationship between the premises and conclusion is called “formal” because it is determined by the form (that is, the structure) of the argument (see §3). In an informal, or inductive , argument, the conclusion may be false even if the premises are true. In other words, whether an inductive argument is good depends on something more than the form of the argument. Therefore, all inductive arguments are invalid, but this does not mean they are bad arguments. Even if an argument is invalid, its premises can increase the probability that its conclusion is true. So, the form of inductive arguments is evaluated in terms of the strength the premises confer on the conclusion, and stronger inductive arguments are preferred to weaker ones (see §4). (See also, “ Deductive and Inductive Arguments .”)

Psychological states, such as sensations, memories, introspections, and intuitions often constitute evidence for statements. Although these states are not themselves statements, they can be expressed as statements. And when they are, they can be used in and evaluated by arguments. For instance, my seeing a red wall is evidence for me that, “There is a red wall,” but the physiological process of seeing is not a statement. Nevertheless, the experience of seeing a red wall can be expressed as the proposition, “I see a red wall” and can be included in an argument such as the following:

• I see a red wall in front of me.
• Therefore, there is a red wall in front of me.

This is an inductive argument, though not a strong one. We do not yet know whether seeing something (under these circumstances) is reliable evidence for the existence of what I am seeing. Perhaps I am “seeing” in a dream, in which case my seeing is not good evidence that there is a wall. For similar reasons, there is also reason to doubt whether I am actually seeing. To be cautious, we might say we seem to see a red wall.

To be good , an argument must meet two conditions: the conclusion must follow from the premises—either validly or with a high degree of likelihood—and the premises must be true. If the premises are true and the conclusion follows validly, the argument is sound . If the premises are true and the premises make the conclusion probable (either objectively or relative to alternative conclusions), the argument is cogent .

Here are two examples:

• Earth is larger than its moon.
• Our sun is larger than Earth.
• Therefore, our sun is larger than Earth’s moon.

In example 1, the premises are true. And since “larger than” is a transitive relation, the structure of the argument guarantees that, if the premises are true, the conclusion must be true. This means the argument is also valid. Since it is both valid and has true premises, this deductive argument is sound.

  Example 2:

• It is sunny in Montana about 205 days per year.
• I will be in Montana in February.
• Hence, it will probably be sunny when I am in Montana.

In example 2, premise 1 is true, and let us assume premise 2 is true. The phrase “almost always” indicates that a majority of days in Montana are sunny, so that, for any day you choose, it will probably be a sunny day. Premise 2 says I am choosing days in February to visit. Together, these premises strongly support (though they do not guarantee) the conclusion that it will be sunny when I am there, and so this inductive argument is cogent.

In some cases, arguments will be missing some important piece, whether a premise or a conclusion. For instance, imagine someone says, “Well, she asked you to go, so you have to go.” The idea that you have to go does not follow logically from the fact that she asked you to go without more information. What is it about her asking you to go that implies you have to go? Arguments missing important information are called enthymemes . A crucial part of critical thinking is identifying missing or assumed information in order to effectively evaluate an argument. In this example, the missing premise might be that, “She is your boss, and you have to do what she asks you to do.” Or it might be that, “She is the woman you are interested in dating, and if you want a real chance at dating her, you must do what she asks.” Before we can evaluate whether her asking implies that you have to go, we need to know this missing bit of information. And without that missing bit of information, we can simply reply, “That conclusion doesn’t follow from that premise.”

The two categories of reasoning associated with soundness and cogency—formal and informal, respectively—are considered, by some, to be the only two types of argument. Others add a third category, called abductive reasoning, according to which one reasons according to the rules of explanation rather than the rules of inference . Those who do not regard abductive reasoning as a third, distinct category typically regard it as a species of informal reasoning. Although abductive reasoning has unique features, here it is treated, for reasons explained in §4d, as a species of informal reasoning, but little hangs on this characterization for the purposes of this article.

3. Formal Reasoning

Although critical thinking is widely regarded as a type of informal reasoning, it nevertheless makes substantial use of formal reasoning strategies. Formal reasoning is deductive , which means an arguer intends to infer or derive a proposition from one or more propositions on the basis of the form or structure exhibited by the premises. Valid argument forms guarantee that particular propositions can be derived from them. Some forms look like they make such guarantees but fail to do so (we identify these as formal fallacies in §5a). If an arguer intends or supposes that a premise or set of premises guarantee a particular conclusion, we may evaluate that argument form as deductive even if the form fails to guarantee the conclusion, and is thus discovered to be invalid.

Before continuing in this section, it is important to note that, while formal reasoning provides a set of strict rules for drawing valid inferences, it cannot help us determine the truth of many of our original premises or our starting assumptions. And in fact, very little critical thinking that occurs in our daily lives (unless you are a philosopher, engineer, computer programmer, or statistician) involves formal reasoning. When we make decisions about whether to board an airplane, whether to move in with our significant others, whether to vote for a particular candidate, whether it is worth it to drive ten miles faster the speed limit even if I am fairly sure I will not get a ticket, whether it is worth it to cheat on a diet, or whether we should take a job overseas, we are reasoning informally. We are reasoning with imperfect information (I do not know much about my flight crew or the airplane’s history), with incomplete information (no one knows what the future is like), and with a number of built-in biases, some conscious (I really like my significant other right now), others unconscious (I have never gotten a ticket before, so I probably will not get one this time). Readers who are more interested in these informal contexts may want to skip to §4.

An argument form is a template that includes variables that can be replaced with sentences. Consider the following form (found within the formal system known as sentential logic ):

• If p, then q.
• Therefore, q.

This form was named modus ponens (Latin, “method of putting”) by medieval philosophers. p and q are variables that can be replaced with any proposition, however simple or complex. And as long as the variables are replaced consistently (that is, each instance of p is replaced with the same sentence and the same for q ), the conclusion (line 3), q , follows from these premises. To be more precise, the inference from the premises to the conclusion is valid . “Validity” describes a particular relationship between the premises and the conclusion, namely: in all cases , the conclusion follows necessarily from the premises, or, to use more technical language, the premises logically guarantee an instance of the conclusion.

Notice we have said nothing yet about truth . As critical thinkers, we are interested, primarily, in evaluating the truth of sentences that express propositions, but all we have discussed so far is a type of relationship between premises and conclusion (validity). This formal relationship is analogous to grammar in natural languages and is known in both fields as syntax . A sentence is grammatically correct if its syntax is appropriate for that language (in English, for example, a grammatically correct simple sentence has a subject and a predicate—“He runs.” “Laura is Chairperson.”—and it is grammatically correct regardless of what subject or predicate is used—“Jupiter sings.”—and regardless of whether the terms are meaningful—“Geflorble rowdies.”). Whether a sentence is meaningful, and therefore, whether it can be true or false, depends on its semantics , which refers to the meaning of individual terms (subjects and predicates) and the meaning that emerges from particular orderings of terms. Some terms are meaningless—geflorble; rowdies—and some orderings are meaningless even though their terms are meaningful—“Quadruplicity drinks procrastination,” and “Colorless green ideas sleep furiously.”.

Despite the ways that syntax and semantics come apart, if sentences are meaningful, then syntactic relationships between premises and conclusions allow reasoners to infer truth values for conclusions. Because of this, a more common definition of validity is this: it is not possible for all the premises to be true and the conclusion false . Formal logical systems in which syntax allows us to infer semantic values are called truth-functional or truth-preserving —proper syntax preserves truth throughout inferences.

The point of this is to note that formal reasoning only tells us what is true if we already know our premises are true. It cannot tell us whether our experiences are reliable or whether scientific experiments tell us what they seem to tell us. Logic can be used to help us determine whether a statement is true, but only if we already know some true things. This is why a broad conception of critical thinking is so important: we need many different tools to evaluate whether our beliefs are any good.

Consider, again, the form modus ponens , and replace p with “It is a cat” and q with “It is a mammal”:

• If it is a cat, then it is a mammal.
• It is a cat.
• Therefore, it is a mammal.

In this case, we seem to “see” (in a metaphorical sense of see ) that the premises guarantee the truth of the conclusion. On reflection, it is also clear that the premises might not be true; for instance, if “it” picks out a rock instead of a cat, premise 1 is still true, but premise 2 is false. It is also possible for the conclusion to be true when the premises are false. For instance, if the “it” picks out a dog instead of a cat, the conclusion “It is a mammal” is true. But in that case, the premises do not guarantee that conclusion; they do not constitute a reason to believe the conclusion is true.

Summing up, an argument is valid if its premises logically guarantee an instance of its conclusion (syntactically), or if it is not possible for its premises to be true and its conclusion false (semantically). Logic is truth-preserving but not truth-detecting; we still need evidence that our premises are true to use logic effectively.

            A Brief Technical Point

Some readers might find it worth noting that the semantic definition of validity has two counterintuitive consequences. First, it implies that any argument with a necessarily true conclusion is valid. Notice that the condition is phrased hypothetically: if the premises are true, then the conclusion cannot be false. This condition is met if the conclusion cannot be false:

• Two added to two equals four.

This is because the hypothetical (or “conditional”) statement would still be true even if the premises were false:

• If it is blue, then it flies.
• It is an airplane.

It is true of this argument that if the premises were true, the conclusion would be since the conclusion is true no matter what.

Second, the semantic formulation also implies that any argument with necessarily false premises is valid. The semantic condition for validity is met if the premises cannot be true:

• Some bachelors are married.
• Earth’s moon is heavier than Jupiter.

In this case, if the premise were true, the conclusion could not be false (this is because anything follows syntactically from a contradiction), and therefore, the argument is valid. There is nothing particularly problematic about these two consequences. But they highlight unexpected implications of our standard formulations of validity, and they show why there is more to good arguments than validity.

Despite these counterintuitive implications, valid reasoning is essential to thinking critically because it is a truth-preserving strategy: if deductive reasoning is applied to true premises, true conclusions will result.

There are a number of types of formal reasoning, but here we review only some of the most common: categorical logic, propositional logic, modal logic, and predicate logic.

a. Categorical Logic

Categorical logic is formal reasoning about categories or collections of subjects, where subjects refers to anything that can be regarded as a member of a class, whether objects, properties, or events or even a single object, property, or event. Categorical logic employs the quantifiers “all,” “some,” and “none” to refer to the members of categories, and categorical propositions are formulated in four ways:

A claims: All As are Bs (where the capitals “A” and “B” represent categories of subjects).

E claims: No As are Bs.

I claims: Some As are Bs.

O claims: Some As are not Bs.

Categorical syllogisms are syllogisms (two-premised formal arguments) that employ categorical propositions. Here are two examples:

• All cats are mammals. (A claim) 1. No bachelors are married. (E claim)
• Some cats are furry. (I claim) 2. All the people in this building are bachelors. (A claim)
• Therefore, some mammals are furry. (I claim) 3. Thus, no people in this building are married. (E claim)

There are interesting limitations on what categorical logic can do. For instance, if one premise says that, “Some As are not Bs,” may we infer that some As are Bs, in what is known as an “existential assumption”? Aristotle seemed to think so ( De Interpretatione ), but this cannot be decided within the rules of the system. Further, and counterintuitively, it would mean that a proposition such as, “Some bachelors are not married,” is false since it implies that some bachelors are married.

Another limitation on categorical logic is that arguments with more than three categories cannot be easily evaluated for validity. The standard method for evaluating the validity of categorical syllogisms is the Venn diagram (named after John Venn, who introduced it in 1881), which expresses categorical propositions in terms of two overlapping circles and categorical arguments in terms of three overlapping circles, each circle representing a category of subjects.

Venn diagram for claim and Venn diagram for argument

A, B, and C represent categories of objects, properties, or events. The symbol “ ∩ ” comes from mathematical set theory to indicate “intersects with.” “A∩B” means all those As that are also Bs and vice versa. 

Though there are ways of constructing Venn diagrams with more than three categories, determining the validity of these arguments using Venn diagrams is very difficult (and often requires computers). These limitations led to the development of more powerful systems of formal reasoning.

b. Propositional Logic

Propositional, or sentential , logic has advantages and disadvantages relative to categorical logic. It is more powerful than categorical logic in that it is not restricted in the number of terms it can evaluate, and therefore, it is not restricted to the syllogistic form. But it is weaker than categorical logic in that it has no operators for quantifying over subjects, such as “all” or “some.” For those, we must appeal to predicate logic (see §3c below).

Basic propositional logic involves formal reasoning about propositions (as opposed to categories), and its most basic unit of evaluation is the atomic proposition . “Atom” means the smallest indivisible unit of something, and simple English statements (subject + predicate) are atomic wholes because if either part is missing, the word or words cease to be a statement, and therefore ceases to be capable of expressing a proposition. Atomic propositions are simple subject-predicate combinations, for instance, “It is a cat” and “I am a mammal.” Variable letters such as p and q in argument forms are replaced with semantically rich constants, indicated by capital letters, such as A and B . Consider modus ponens again (noting that the atomic propositions are underlined in the English argument):

As you can see from premise 1 of the Semantic Replacement, atomic propositions can be combined into more complex propositions using symbols that represent their logical relationships (such as “If…, then…”). These symbols are called “operators” or “connectives.” The five standard operators in basic propositional logic are:

These operations allow us to identify valid relations among propositions: that is, they allow us to formulate a set of rules by which we can validly infer propositions from and validly replace them with others. These rules of inference (such as modus ponens ; modus tollens ; disjunctive syllogism) and rules of replacement (such as double negation; contraposition; DeMorgan’s Law) comprise the syntax of propositional logic, guaranteeing the validity of the arguments employing them.

Two Rules of Inference:

Two Rules of Replacement:

For more, see “ Propositional Logic .”

c. Modal Logic

Standard propositional logic does not capture every type of proposition we wish to express (recall that it does not allow us to evaluate categorical quantifiers such as “all” or “some”). It also does not allow us to evaluate propositions expressed as possibly true or necessarily true, modifications that are called modal operators or modal quantifiers .

Modal logic refers to a family of formal propositional systems, the most prominent of which includes operators for necessity (□) and possibility (◊) (see §3d below for examples of other modal systems). If a proposition, p , is possibly true, ◊ p , it may or may not be true. If p is necessarily true, □ p , it must be true; it cannot be false. If p is necessarily false, either ~◊ p or □~ p , it must be false; it cannot be true.

There is a variety of modal systems, the weakest of which is called K (after Saul Kripke, who exerted important influence on the development of modal logic), and it involves only two additional rules:

Necessitation Rule:   If  A  is a theorem of  K , then so is □ A .

Distribution Axiom:  □( A ⊃ B ) ⊃ (□ A ⊃□ B ).  [If it is necessarily the case that if A, then B , then if it is necessarily the case that A, it is necessarily the case that B .]

Other systems maintain these rules and add others for increasing strength. For instance, the (S4) modal system includes axiom (4):

(4)  □ A ⊃ □□ A   [If it is necessarily the case that A, then it is necessarily necessary that A.]

An influential and intuitive way of thinking about modal concepts is the idea of “possible worlds” (see Plantinga, 1974; Lewis 1986). A world is just the set of all true propositions. The actual world is the set of all actually true propositions—everything that was true, is true, and (depending on what you believe about the future) will be true. A possible world is a way the actual world might have been. Imagine you wore green underwear today. The actual world might have been different in that way: you might have worn blue underwear. In this interpretation of modal quantifiers, there is a possible world in which you wore blue underwear instead of green underwear. And for every possibility like this, and every combination of those possibilities, there is a distinct possible world.

If a proposition is not possible, then there is no possible world in which that proposition is true. The statement, “That object is red all over and blue all over at the same time” is not true in any possible worlds. Therefore, it is not possible (~◊P), or, in other words, necessarily false (□~P). If a proposition is true in all possible worlds, it is necessarily true. For instance, the proposition, “Two plus two equal four,” is true in all possible worlds, so it is necessarily true (□P) or not possibly false (~◊~P).

All modal systems have a number of controversial implications, and there is not space to review them here. Here we need only note that modal logic is a type of formal reasoning that increases the power of propositional logic to capture more of what we attempt to express in natural languages. (For more, see “ Modal Logic: A Contemporary View .”)

d. Predicate Logic

Predicate logic, in particular, first-order predicate logic, is even more powerful than propositional logic. Whereas propositional logic treats propositions as atomic wholes, predicate logic allows reasoners to identify and refer to subjects of propositions, independently of their predicates. For instance, whereas the proposition, “Susan is witty,” would be replaced with a single upper-case letter, say “S,” in propositional logic, predicate logic would assign the subject “Susan” a lower-case letter, s, and the predicate “is witty” an upper-case letter, W, and the translation (or formula ) would be: Ws.

In addition to distinguishing subjects and predicates, first-order predicate logic allows reasoners to quantify over subjects. The quantifiers in predicate logic are “All…,” which is comparable to “All” quantifier in categorical logic and is sometimes symbolized with an upside-down A: ∀ (though it may not be symbolized at all), and “There is at least one…,” which is comparable to “Some” quantifier in categorical logic and is symbolized with a backward E: ∃. E and O claims are formed by employing the negation operator from propositional logic. In this formal system, the proposition, “Someone is witty,” for example, has the form: There is an x , such that x has the property of being witty, which is symbolized: (∃ x)(Wx). Similarly, the proposition, “Everyone is witty,” has the form: For all x, x has the property of being witty, which is symbolized (∀ x )( Wx ) or, without the ∀: ( x )( Wx ).

Predicate derivations are conducted according to the same rules of inference and replacement as propositional logic with the exception of four rules to accommodate adding and eliminating quantifiers.

Second-order predicate logic extends first-order predicate logic to allow critical thinkers to quantify over and draw inferences about subjects and predicates, including relations among subjects and predicates. In both first- and second-order logic, predicates typically take the form of properties (one-place predicates) or relations (two-place predicates), though there is no upper limit on place numbers. Second-order logic allows us to treat both as falling under quantifiers, such as e verything that is (specifically, that has the property of being) a tea cup and everything that is a bachelor is unmarried .

e. Other Formal Systems

It is worth noting here that the formal reasoning systems we have seen thus far (categorical, propositional, and predicate) all presuppose that truth is bivalent , that is, two-valued. The two values critical thinkers are most often concerned with are true and false , but any bivalent system is subject to the rules of inference and replacement of propositional logic. The most common alternative to truth values is the binary code of 1s and 0s used in computer programming. All logics that presuppose bivalence are called classical logics . In the next section, we see that not all formal systems are bivalent; there are non-classical logics . The existence of non-classical systems raises interesting philosophical questions about the nature of truth and the legitimacy of our basic rules of reasoning, but these questions are too far afield for this context. Many philosophers regard bivalent systems as legitimate for all but the most abstract and purely formal contexts. Included below is a brief description of three of the most common non-classical logics.

Tense logic , or temporal logic, is a formal modal system developed by Arthur Prior (1957, 1967, 1968) to accommodate propositional language about time. For example, in addition to standard propositional operators, tense logic includes four operators for indexing times: P “It has at some time been the case that…”; F “It will at some time be the case that…”; H “It has always been the case that…”; and G “It will always be the case that….”

Many-valued logic , or n -valued logic, is a family of formal logical systems that attempts to accommodate intuitions that suggest some propositions have values in addition to true and false. These are often motivated by intuitions that some propositions have neither of the classic truth values; their truth value is indeterminate (not just undeterminable, but neither true nor false), for example, propositions about the future such as, “There will be a sea battle tomorrow.” If the future does not yet exist, there is no fact about the future, and therefore, nothing for a proposition to express.

Fuzzy logic is a type of many-valued logic developed out of Lotfi Zadeh’s (1965) work on mathematical sets. Fuzzy logic attempts to accommodate intuitions that suggest some propositions have truth value in degrees, that is, some degree of truth between true and false. It is motivated by concerns about vagueness in reality, for example whether a certain color is red or some degree of red, or whether some temperature is hot or some degree of hotness.

Formal reasoning plays an important role in critical thinking, but not very often. There are significant limits to how we might use formal tools in our daily lives. If that is true, how do critical thinkers reason well when formal reasoning cannot help? That brings us to informal reasoning.

4. Informal Reasoning

Informal reasoning is inductive , which means that a proposition is inferred (but not derived) from one or more propositions on the basis of the strength provided by the premises (where “strength” means some degree of likelihood less than certainty or some degree of probability less than 1 but greater than 0; a proposition with 0% probability is necessarily false).

Particular premises grant strength to premises to the degree that they reflect certain relationships or structures in the world . For instance, if a particular type of event, p , is known to cause or indicate another type of event, q , then upon encountering an event of type p , we may infer that an event of type q is likely to occur. We may express this relationship among events propositionally as follows:

• Events of type p typically cause or indicate events of type q .
• An event of type p occurred.
• Therefore, an event of type q probably occurred.

If the structure of the world (for instance, natural laws) makes premise 1 true, then, if premise 2 is true, we can reasonably (though not certainly) infer the conclusion.

Unlike formal reasoning, the adequacy of informal reasoning depends on how well the premises reflect relationships or structures in the world. And since we have not experienced every relationship among objects or events or every structure, we cannot infer with certainty that a particular conclusion follows from a true set of premises about these relationships or structures. We can only infer them to some degree of likelihood by determining to the best of our ability either their objective probability or their probability relative to alternative conclusions.

The objective probability of a conclusion refers to how likely, given the way the world is regardless of whether we know it , that conclusion is to be true. The epistemic probability of a conclusion refers to how likely that conclusion is to be true given what we know about the world , or more precisely, given our evidence for its objective likelihood.

Objective probabilities are determined by facts about the world and they are not truths of logic, so we often need evidence for objective probabilities. For instance, imagine you are about to draw a card from a standard playing deck of 52 cards. Given particular assumptions about the world (that this deck contains 52 cards and that one of them is the Ace of Spades), the objective likelihood that you will draw an Ace of Spades is 1/52. These assumptions allow us to calculate the objective probability of drawing an Ace of Spades regardless of whether we have ever drawn a card before. But these are assumptions about the world that are not guaranteed by logic: we have to actually count the cards, to be sure we count accurately and are not dreaming or hallucinating, and that our memory (once we have finished counting) reliably maintains our conclusions. None of these processes logically guarantees true beliefs. So, if our assumptions are correct, we know the objective probability of actually drawing an Ace of Spades in the real world. But since there is no logical guarantee that our assumptions are right, we are left only with the epistemic probability (the probability based on our evidence) of drawing that card. If our assumptions are right, then the objective probability is the same as our epistemic probability: 1/52. But even if we are right, objective and epistemic probabilities can come apart under some circumstances.

Imagine you draw a card without looking at it and lay it face down. What is the objective probability that that card is an Ace of Spades? The structure of the world has now settled the question, though you do not know the outcome. If it is an Ace of Spades, the objective probability is 1 (100%); it is the Ace of Spades. If it is not the Ace of Spades, the objective probability is 0 (0%); it is not the Ace of Spades. But what is the epistemic probability? Since you do not know any more about the world than you did before you drew the card, the epistemic probability is the same as before you drew it: 1/52.

Since much of the way the world is is hidden from us (like the card laid face down), and since it is not obvious that we perceive reality as it actually is (we do not know whether the actual coins we flip are evenly weighted or whether the actual dice we roll are unbiased), our conclusions about probabilities in the actual world are inevitably epistemic probabilities. We can certainly calculate objective probabilities about abstract objects (for instance, hypothetically fair coins and dice—and these calculations can be evaluated formally using probability theory and statistics), but as soon as we apply these calculations to the real world, we must accommodate the fact that our evidence is incomplete.

There are four well-established categories of informal reasoning: generalization, analogy, causal reasoning, and abduction.

a. Generalization

Generalization is a way of reasoning informally from instances of a type to a conclusion about the type. This commonly takes two forms: reasoning from a sample of a population to the whole population , and reasoning from past instances of an object or event to future instances of that object or event . The latter is sometimes called “enumerative induction” because it involves enumerating past instances of a type in order to draw an inference about a future instance. But this distinction is weak; both forms of generalization use past or current data to infer statements about future instances and whole current populations.

A popular instance of inductive generalization is the opinion poll: a sample of a population of people is polled with respect to some statement or belief. For instance, if we poll 57 sophomores enrolled at a particular college about their experiences of living in dorms, these 57 comprise our sample of the population of sophomores at that particular college. We want to be careful how we define our population given who is part of our sample. Not all college students are like sophomores, so it is not prudent to draw inferences about all college students from these sophomores. Similarly, sophomores at other colleges are not necessarily like sophomores at this college (it could be the difference between a liberal arts college and a research university), so it is prudent not to draw inferences about all sophomores from this sample at a particular college.

Let us say that 90% of the 57 sophomores we polled hate the showers in their dorms. From this information, we might generalize in the following way:

• We polled 57 sophomores at Plato’s Academy. (the sample)
• 90% of our sample hates the showers in their dorms. (the polling data)
• Therefore, probably 90% of all sophomores at Plato’s Academy hate the showers in their dorms. (a generalization from our sample to the whole population of sophomores at Plato’s Academy)

Is this good evidence that 90% of all sophomores at that college hate the showers in their dorms?

A generalization is typically regarded as a good argument if its sample is representative of its population. A sample is representative if it is similar in the relevant respects to its population. A perfectly representative sample would include the whole population: the sample would be identical with the population, and thus, perfectly representative. In that case, no generalization is necessary. But we rarely have the time or resources to evaluate whole populations. And so, a sample is generally regarded as representative if it is large relative to its population and unbiased .

In our example, whether our inference is good depends, in part, on how many sophomores there are. Are there 100, 2,000? If there are only 100, then our sample size seems adequate—we have polled over half the population. Is our sample unbiased? That depends on the composition of the sample. Is it comprised only of women or only of men? If this college is not co-ed, that is not a problem. But if the college is co-ed and we have sampled only women, our sample is biased against men. We have information only about female freshmen dorm experiences, and therefore, we cannot generalize about male freshmen dorm experiences.

How large is large enough? This is a difficult question to answer. A poll of 1% of your high school does not seem large enough to be representative. You should probably gather more data. Yet a poll of 1% of your whole country is practically impossible (you are not likely to ever have enough grant money to conduct that poll). But could a poll of less than 1% be acceptable? This question is not easily answered, even by experts in the field. The simple answer is: the more, the better. The more complicated answer is: it depends on how many other factors you can control for, such as bias and hidden variables (see §4c for more on experimental controls).

Similarly, we might ask what counts as an unbiased sample. An overly simple answer is: the sample is taken randomly, that is, by using a procedure that prevents consciously or unconsciously favoring one segment of the population over another (flipping a coin, drawing lottery balls). But reality is not simple. In political polls, it is important not to use a selection procedure that results in a sample with a larger number of members of one political party than another relative to their distribution in the population, even if the resulting sample is random. For example, the two most prominent parties in the U.S. are the Democratic Party and the Republican Party. If 47% of the U.S. is Republican and 53% is Democrat, an unbiased sample would have approximately 47% Republicans and 53% Democrats. But notice that simply choosing at random may not guarantee that result; it could easily occur, just by choosing randomly, that our sample has 70% Democrats and 30% Republicans (suppose our computer chose, albeit randomly, from a highly Democratic neighborhood). Therefore, we want to control for representativeness in some criteria, such as gender, age, and education. And we explicitly want to avoid controlling for the results we are interested in; if we controlled for particular answers to the questions on our poll, we would not learn anything—we would get all and only the answers we controlled for.

Difficulties determining representativeness suggest that reliable generalizations are not easy to construct. If we generalize on the basis of samples that are too small or if we cannot control for bias, we commit the informal fallacy of hasty generalization (see §5b). In order to generalize well, it seems we need a bit of machinery to guarantee representativeness. In fact, it seems we need an experiment, one of the primary tools in causal reasoning (see §4c below).

Argument from Analogy , also called analogical reasoning , is a way of reasoning informally about events or objects based on their similarities. A classic instance of reasoning by analogy occurs in archaeology, when researchers attempt to determine whether a stone object is an artifact (a human-made item) or simply a rock. By comparing the features of an unknown stone with well-known artifacts, archaeologists can infer whether a particular stone is an artifact. Other examples include identifying animals’ tracks by their similarities with pictures in a guidebook and consumer reports on the reliability of products.

To see how arguments from analogy work in detail, imagine two people who, independently of one another, want to buy a new pickup truck. Each chooses a make and model he or she likes, and let us say they decide on the same truck. They then visit a number of consumer reporting websites to read reports on trucks matching the features of the make and model they chose, for instance, the year it was built, the size of the engine (6 cyl. or 8 cyl.), the type of transmission (2WD or 4WD), the fuel mileage, and the cab size (standard, extended, crew). Now, let us say one of our prospective buyers is interested in safety —he or she wants a tough, safe vehicle that will protect against injuries in case of a crash. The other potential buyer is interested in mechanical reliability —he or she does not want to spend a lot of time and money fixing mechanical problems.

With this in mind, here is how our two buyers might reason analogically about whether to purchase the truck (with some fake report data included):

• The truck I have in mind was built in 2012, has a 6-cylinder engine, a 2WD transmission, and a king cab.
• 62 people who bought trucks like this one posted consumer reports and have driven it for more than a year.
• 88% of those 62 people report that the truck feels very safe.
• Therefore, the truck I am looking at will likely be very safe.
• 88% of those 62 people report that the truck has had no mechanical problems.
• Therefore, the truck I am looking at will likely have no mechanical problems.

Are the features of these analogous vehicles (the ones reported on) sufficiently numerous and relevant for helping our prospective truck buyers decide whether to purchase the truck in question (the one on the lot)? Since we have some idea that the type of engine and transmission in a vehicle contribute to its mechanical reliability, Buyer 2 may have some relevant features on which to draw a reliable analogy. Fuel mileage and cab size are not obviously relevant, but engine specifications seem to be. Are these specifications numerous enough? That depends on whether anything else that we are not aware of contributes to overall reliability. Of course, if the trucks having the features we know also have all other relevant features we do not know (if there are any), then Buyer 2 may still be able to draw a reliable inference from analogy. Of course, we do not currently know this.

Alternatively, Buyer 1 seems to have very few relevant features on which to draw a reliable analogy. The features listed are not obviously related to safety. Are there safety options a buyer may choose but that are not included in the list? For example, can a buyer choose side-curtain airbags, or do such airbags come standard in this model? Does cab size contribute to overall safety? Although there are a number of similarities between the trucks, it is not obvious that we have identified features relevant to safety or whether there are enough of them. Further, reports of “feeling safe” are not equivalent to a truck actually being safe. Better evidence would be crash test data or data from actual accidents involving this truck. This information is not likely to be on a consumer reports website.

A further difficulty is that, in many cases, it is difficult to know whether many similarities are necessary if the similarities are relevant. For instance, if having lots of room for passengers is your primary concern, then any other features are relevant only insofar as they affect cab size. The features that affect cab size may be relatively small.

This example shows that arguments from analogy are difficult to formulate well. Arguments from analogy can be good arguments when critical thinkers identify a sufficient number of features of known objects that are also relevant to the feature inferred to be shared by the object in question. If a rock is shaped like a cutting tool, has marks consistent with shaping and sharpening, and has wear marks consistent with being held in a human hand, it is likely that rock is an artifact. But not all cases are as clear.

It is often difficult to determine whether the features we have identified are sufficiently numerous or relevant to our interests. To determine whether an argument from analogy is good, a person may need to identify a causal relationship between those features and the one in which she is interested (as in the case with a vehicle’s mechanical reliability). This usually takes the form of an experiment, which we explore below (§4c).

Difficulties with constructing reliable generalizations and analogies have led critical thinkers to develop sophisticated methods for controlling for the ways these arguments can go wrong. The most common way to avoid the pitfalls of these arguments is to identify the causal structures in the world that account for or underwrite successful generalizations and analogies. Causal arguments are the primary method of controlling for extraneous causal influences and identifying relevant causes. Their development and complexity warrant regarding them as a distinct form of informal reasoning.

c. Causal Reasoning

Causal arguments attempt to draw causal conclusions (that is, statements that express propositions about causes: x causes y ) from premises about relationships among events or objects. Though it is not always possible to construct a causal argument, when available, they have an advantage over other types of inductive arguments in that they can employ mechanisms (experiments) that reduce the risks involved in generalizations and analogies.

The interest in identifying causal relationships often begins with the desire to explain correlations among events (as pollen levels increase, so do allergy symptoms) or with the desire to replicate an event (building muscle, starting a fire) or to eliminate an event (polio, head trauma in football).

Correlations among events may be positive (where each event increases at roughly the same rate) or negative (where one event decreases in proportion to another’s increase). Correlations suggest a causal relationship among the events correlated.

But we must be careful; correlations are merely suggestive—other forces may be at work. Let us say the y-axis in the charts above represents the number of millionaires in the U.S. and the x-axis represents the amount of money U.S. citizens pay for healthcare each year. Without further analysis, a positive correlation between these two may lead someone to conclude that increasing wealth causes people to be more health conscious and to seek medical treatment more often. A negative correlation may lead someone to conclude that wealth makes people healthier and, therefore, that they need to seek medical care less frequently.

Unfortunately, correlations can occur without any causal structures (mere coincidence) or because of a third, as-yet-unidentified event (a cause common to both events, or “common cause”), or the causal relationship may flow in an unexpected direction (what seems like the cause is really the effect). In order to determine precisely which event (if any) is responsible for the correlation, reasoners must eliminate possible influences on the correlation by “controlling” for possible influences on the relationship (variables).

Critical thinking about causes begins by constructing hypotheses about the origins of particular events. A hypothesis is an explanation or event that would account for the event in question. For example, if the question is how to account for increased acne during adolescence, and we are not aware of the existence of hormones, we might formulate a number of hypotheses about why this happens: during adolescence, people’s diets change (parents no longer dictate their meals), so perhaps some types of food cause acne; during adolescence, people become increasingly anxious about how they appear to others, so perhaps anxiety or stress causes acne; and so on.

After we have formulated a hypothesis, we identify a test implication that will help us determine whether our hypothesis is correct. For instance, if some types of food cause acne, we might choose a particular food, say, chocolate, and say: if chocolate causes acne (hypothesis), then decreasing chocolate will decrease acne (test implication). We then conduct an experiment to see whether our test implication occurs.

Reasoning about our experiment would then look like one of the following arguments:

There are a couple of important things to note about these arguments. First, despite appearances, both are inductive arguments. The one on the left commits the formal fallacy of affirming the consequent, so, at best, the premises confer only some degree of probability on the conclusion. The argument on the right looks to be deductive (on the face of it, it has the valid form modus tollens ), but it would be inappropriate to regard it deductively. This is because we are not evaluating a logical connection between H and TI, we are evaluating a causal connection—TI might be true or false regardless of H (we might have chosen an inappropriate test implication or simply gotten lucky), and therefore, we cannot conclude with certainty that H does not causally influence TI. Therefore, “If…, then…” statements in experiments must be read as causal conditionals and not material conditionals (the term for how we used conditionals above).

Second, experiments can go wrong in many ways, so no single experiment will grant a high degree of probability to its causal conclusion. Experiments may be biased by hidden variables (causes we did not consider or detect, such as age, diet, medical history, or lifestyle), auxiliary assumptions (the theoretical assumptions by which evaluating the results may be faulty), or underdetermination (there may be a number of hypotheses consistent with those results; for example, if it is actually sugar that causes acne, then chocolate bars, ice cream, candy, and sodas would yield the same test results). Because of this, experiments either confirm or disconfirm a hypothesis; that is, they give us some reason (but not a particularly strong reason) to believe our hypothesized causes are or are not the causes of our test implications, and therefore, of our observations (see Quine and Ullian, 1978). Because of this, experiments must be conducted many times, and only after we have a number of confirming or disconfirming results can we draw a strong inductive conclusion. (For more, see “ Confirmation and Induction .”)

Experiments may be formal or informal . In formal experiments, critical thinkers exert explicit control over experimental conditions: experimenters choose participants, include or exclude certain variables, and identify or introduce hypothesized events. Test subjects are selected according to control criteria (criteria that may affect the results and, therefore, that we want to mitigate, such as age, diet, and lifestyle) and divided into control groups (groups where the hypothesized cause is absent) and experimental groups (groups where the hypothesized cause is present, either because it is introduced or selected for).

Subjects are then placed in experimental conditions. For instance, in a randomized study, the control group receives a placebo (an inert medium) whereas the experimental group receives the hypothesized cause—the putative cause is introduced, the groups are observed, and the results are recorded and compared. When a hypothesized cause is dangerous (such as smoking) or its effects potentially irreversible (for instance, post-traumatic stress disorder), the experimental design must be restricted to selecting for the hypothesized cause already present in subjects, for example, in retrospective (backward-looking) and prospective (forward-looking) studies. In all types of formal experiments, subjects are observed under exposure to the test or placebo conditions for a specified time, and results are recorded and compared.

In informal experiments, critical thinkers do not have access to sophisticated equipment or facilities and, therefore, cannot exert explicit control over experimental conditions. They are left to make considered judgments about variables. The most common informal experiments are John Stuart Mill’s five methods of inductive reasoning, called Mill’s Methods, which he first formulated in A System of Logic (1843). Here is a very brief summary of Mill’s five methods:

(1) The Method of Agreement

If all conditions containing the event y also contain x , x is probably the cause of y .

For example:

“I’ve eaten from the same box of cereal every day this week, but all the times I got sick after eating cereal were times when I added strawberries. Therefore, the strawberries must be bad.”

(2) The Method of Difference

If all conditions lacking y also lack x , x is probably the cause of y .

“The organization turned all its tax forms in on time for years, that is, until our comptroller, George, left; after that, we were always late. Only after George left were we late. Therefore, George was probably responsible for getting our tax forms in on time.”

(3) The Joint Method of Agreement and Difference

If all conditions containing event y also contain event x , and all events lacking y also lack x , x is probably the cause of y .

“The conditions at the animal shelter have been pretty regular, except we had a string of about four months last year when the dogs barked all night, every night. But at the beginning of those four months we sheltered a redbone coonhound, and the barking stopped right after a family adopted her. All the times the redbone hound wasn’t present, there was no barking. Only the time she was present was there barking. Therefore, she probably incited all the other dogs to bark.”

(4) The Method of Concomitant Variation

If the frequency of event y increases and decreases as event x increases and decreases, respectively, x is probably the cause of y .

“We can predict the amount of alcohol sales by the rate of unemployment. As unemployment rises, so do alcohol sales. As unemployment drops, so do alcohol sales. Last quarter marked the highest unemployment in three years, and our sales last quarter are the highest they had been in those three years. Therefore, unemployment probably causes people to buy alcohol.”

(5) The Method of Residues

If a number of factors x , y , and z , may be responsible for a set of events A , B , and C , and if we discover reasons for thinking that x is the cause of A and y is the cause of B , then we have reason to believe z is the cause of C .

“The people who come through this medical facility are usually starving and have malaria, and a few have polio. We are particularly interested in treating the polio. Take this patient here: she is emaciated, which is caused by starvation; and she has a fever, which is caused by malaria. But notice that her muscles are deteriorating, and her bones are sore. This suggests she also has polio.”

d. Abduction

Not all inductive reasoning is inferential. In some cases, an explanation is needed before we can even begin drawing inferences. Consider Darwin’s idea of natural selection. Natural selection is not an object, like a blood vessel or a cellular wall, and it is not, strictly speaking, a single event. It cannot be detected in individual organisms or observed in a generation of offspring. Natural selection is an explanation of biodiversity that combines the process of heritable variation and environmental pressures to account for biomorphic change over long periods of time. With this explanation in hand, we can begin to draw some inferences. For instance, we can separate members of a single species of fruit flies, allow them to reproduce for several generations, and then observe whether the offspring of the two groups can reproduce. If we discover they cannot reproduce, this is likely due to certain mutations in their body types that prevent them from procreating. And since this is something we would expect if natural selection were true, we have one piece of confirming evidence for natural selection. But how do we know the explanations we come up with are worth our time?

Coined by C. S. Peirce (1839-1914), abduction , also called retroduction, or inference to the best explanation , refers to a way of reasoning informally that provides guidelines for evaluating explanations. Rather than appealing to types of arguments (generalization, analogy, causation), the value of an explanation depends on the theoretical virtues it exemplifies. A theoretical virtue is a quality that renders an explanation more or less fitting as an account of some event. What constitutes fittingness (or “loveliness,” as Peter Lipton (2004) calls it) is controversial, but many of the virtues are intuitively compelling, and abduction is a widely accepted tool of critical thinking.

The most widely recognized theoretical virtue is probably simplicity , historically associated with William of Ockham (1288-1347) and known as Ockham’s Razor . A legend has it that Ockham was asked whether his arguments for God’s existence prove that only one God exists or whether they allow for the possibility that many gods exist. He supposedly responded, “Do not multiply entities beyond necessity.” Though this claim is not found in his writings, Ockham is now famous for advocating that we restrict our beliefs about what is true to only what is absolutely necessary for explaining what we observe.

In contemporary theoretical use, the virtue of simplicity is invoked to encourage caution in how many mechanisms we introduce to explain an event. For example, if natural selection can explain the origin of biological diversity by itself, there is no need to hypothesize both natural selection and a divine designer. But if natural selection cannot explain the origin of, say, the duck-billed platypus, then some other mechanism must be introduced. Of course, not just any mechanism will do. It would not suffice to say the duck-billed platypus is explained by natural selection plus gremlins. Just why this is the case depends on other theoretical virtues; ideally, the virtues work together to help critical thinkers decide among competing hypotheses to test. Here is a brief sketch of some other theoretical virtues or ideals:

Conservatism – a good explanation does not contradict well-established views in a field.

Independent Testability – a good explanation is successful on different occasions under similar circumstances.

Fecundity – a good explanation leads to results that make even more research possible.

Explanatory Depth – a good explanation provides details of how an event occurs.

Explanatory Breadth – a good explanation also explains other, similar events.

Though abduction is structurally distinct from other inductive arguments, it functions similarly in practice: a good explanation provides a probabilistic reason to believe a proposition. This is why it is included here as a species of inductive reasoning. It might be thought that explanations only function to help critical thinkers formulate hypotheses, and do not, strictly speaking, support propositions. But there are intuitive examples of explanations that support propositions independently of however else they may be used. For example, a critical thinker may argue that material objects exist outside our minds is a better explanation of why we perceive what we do (and therefore, a reason to believe it) than that an evil demon is deceiving me , even if there is no inductive or deductive argument sufficient for believing that the latter is false. (For more, see “ Charles Sanders Peirce: Logic .”)

5. Detecting Poor Reasoning

Our attempts at thinking critically often go wrong, whether we are formulating our own arguments or evaluating the arguments of others. Sometimes it is in our interests for our reasoning to go wrong, such as when we would prefer someone to agree with us than to discover the truth value of a proposition. Other times it is not in our interests; we are genuinely interested in the truth, but we have unwittingly made a mistake in inferring one proposition from others. Whether our errors in reasoning are intentional or unintentional, such errors are called fallacies (from the Latin, fallax, which means “deceptive”). Recognizing and avoiding fallacies helps prevent critical thinkers from forming or maintaining defective beliefs.

Fallacies occur in a number of ways. An argument’s form may seem to us valid when it is not, resulting in a formal fallacy . Alternatively, an argument’s premises may seem to support its conclusion strongly but, due to some subtlety of meaning, do not, resulting in an informal fallacy . Additionally, some of our errors may be due to unconscious reasoning processes that may have been helpful in our evolutionary history, but do not function reliably in higher order reasoning. These unconscious reasoning processes are now widely known as heuristics and biases . Each type is briefly explained below.

a. Formal Fallacies

Formal fallacies occur when the form of an argument is presumed or seems to be valid (whether intentionally or unintentionally) when it is not. Formal fallacies are usually invalid variations of valid argument forms. Consider, for example, the valid argument form modus ponens (this is one of the rules of inference mentioned in §3b):

modus ponens (valid argument form)

In modus ponens , we assume or “affirm” both the conditional and the left half of the conditional (called the antecedent ): (p à q) and p. From these, we can infer that q, the second half or consequent , is true. This a valid argument form: if the premises are true, the conclusion cannot be false.

Sometimes, however, we invert the conclusion and the second premise, affirming that the conditional, (p à q), and the right half of the conditional, q (the consequent), are true, and then inferring that the left half, p (the antecedent), is true. Note in the example below how the conclusion and second premise are switched. Switching them in this way creates a problem.

To get an intuitive sense of why “affirming the consequent” is a problem, consider this simple example:

affirming the consequent

• It is a mammal.
• Therefore, it is a cat.(?)

From the fact that something is a mammal, we cannot conclude that it is a cat. It may be a dog or a mouse or a whale. The premises can be true and yet the conclusion can still be false. Therefore, this is not a valid argument form. But since it is an easy mistake to make, it is included in the set of common formal fallacies.

Here is a second example with the rule of inference called modus tollens . Modus tollens involves affirming a conditional, (p à q), and denying that conditional’s consequent: ~q. From these two premises, we can validly infer the denial of the antecedent: ~p. But if we switch the conclusion and the second premise, we get another fallacy, called denying the antecedent .

Technically, all informal reasoning is formally fallacious—all informal arguments are invalid. Nevertheless, since those who offer inductive arguments rarely presume they are valid, we do not regard them as reasoning fallaciously.

b. Informal Fallacies

Informal fallacies occur when the meaning of the terms used in the premises of an argument suggest a conclusion that does not actually follow from them (the conclusion either follows weakly or with no strength at all). Consider an example of the informal fallacy of equivocation , in which a word with two distinct meanings is used in both of its meanings:

• Any law can be repealed by Congress.
• Gravity is a law.
• Therefore, gravity can be repealed by Congress.

In this case, the argument’s premises are true when the word “law” is rightly interpreted, but the conclusion does not follow because the word law has a different referent in premise 1 (political laws) than in premise 2 (a law of nature). This argument equivocates on the meaning of law and is, therefore, fallacious.

Consider, also, the informal fallacy of ad hominem , abusive, when an arguer appeals to a person’s character as a reason to reject her proposition:

“Elizabeth argues that humans do not have souls; they are simply material beings. But Elizabeth is a terrible person and often talks down to children and the elderly. Therefore, she could not be right that humans do not have souls.”

The argument might look like this:

• Elizabeth is a terrible person and often talks down to children and the elderly.
• Therefore, Elizabeth is not right that humans do not have souls.

The conclusion does not follow because whether Elizabeth is a terrible person is irrelevant to the truth of the proposition that humans do not have souls. Elizabeth’s argument for this statement is relevant, but her character is not.

Another way to evaluate this fallacy is to note that, as the argument stands, it is an enthymeme (see §2); it is missing a crucial premise, namely: If anyone is a terrible person, that person makes false statements. But this premise is clearly false. There are many ways in which one can be a terrible person, and not all of them imply that someone makes false statements. (In fact, someone could be terrible precisely because they are viciously honest.) Once we fill in the missing premise, we see the argument is not cogent because at least one premise is false.

Importantly, we face a number of informal fallacies on a daily basis, and without the ability to recognize them, their regularity can make them seem legitimate. Here are three others that only scratch the surface:

Appeal to the People: We are often encouraged to believe or do something just because everyone else does. We are encouraged to believe what our political party believes, what the people in our churches or synagogues or mosques believe, what people in our family believe, and so on. We are encouraged to buy things because they are “bestsellers” (lots of people buy them). But the fact that lots of people believe or do something is not, on its own, a reason to believe or do what they do.

Tu Quoque (You, too!): We are often discouraged from pursuing a conclusion or action if our own beliefs or actions are inconsistent with them. For instance, if someone attempts to argue that everyone should stop smoking, but that person smokes, their argument is often given less weight: “Well, you smoke! Why should everyone else quit?” But the fact that someone believes or does something inconsistent with what they advocate does not, by itself, discredit the argument. Hypocrites may have very strong arguments despite their personal inconsistencies.

Base Rate Neglect: It is easy to look at what happens after we do something or enact a policy and conclude that the act or policy caused those effects. Consider a law reducing speed limits from 75 mph to 55 mph in order to reduce highway accidents. And, in fact, in the three years after the reduction, highway accidents dropped 30%! This seems like a direct effect of the reduction. However, this is not the whole story. Imagine you looked back at the three years prior to the law and discovered that accidents had dropped 30% over that time, too. If that happened, it might not actually be the law that caused the reduction in accidents. The law did not change the trend in accident reduction. If we only look at the evidence after the law, we are neglecting the rate at which the event occurred without the law. The base rate of an event is the rate that the event occurs without the potential cause under consideration. To take another example, imagine you start taking cold medicine, and your cold goes away in a week. Did the cold medicine cause your cold to go away? That depends on how long colds normally last and when you took the medicine. In order to determine whether a potential cause had the effect you suspect, do not neglect to compare its putative effects with the effects observed without that cause.

For more on formal and informal fallacies and over 200 different types with examples, see “ Fallacies .”

c. Heuristics and Biases

In the 1960s, psychologists began to suspect there is more to human reasoning than conscious inference. Daniel Kahneman and Amos Tversky confirmed these suspicions with their discoveries that many of the standard assumptions about how humans reason in practice are unjustified. In fact, humans regularly violate these standard assumptions, the most significant for philosophers and economists being that humans are fairly good at calculating the costs and benefits of their behavior; that is, they naturally reason according to the dictates of Expected Utility Theory. Kahneman and Tversky showed that, in practice, reasoning is affected by many non-rational influences, such as the wording used to frame scenarios (framing bias) and information most vividly available to them (the availability heuristic).

Consider the difference in your belief about the likelihood of getting robbed before and after seeing a news report about a recent robbery, or the difference in your belief about whether you will be bitten by a shark the week before and after Discovery Channel’s “Shark Week.” For most of us, we are likely to regard their likelihood as higher after we have seen these things on television than before. Objectively, they are no more or less likely to happen regardless of our seeing them on television, but we perceive they are more likely because their possibility is more vivid to us. These are examples of the availability heuristic.

Since the 1960s, experimental psychologists and economists have conducted extensive research revealing dozens of these unconscious reasoning processes, including ordering bias , the representativeness heuristic , confirmation bias , attentional bias , and the anchoring effect . The field of behavioral economics, made popular by Dan Ariely (2008; 2010; 2012) and Richard Thaler and Cass Sunstein (2009), emerged from and contributes to heuristics and biases research and applies its insights to social and economic behaviors.

Ideally, recognizing and understanding these unconscious, non-rational reasoning processes will help us mitigate their undermining influence on our reasoning abilities (Gigerenzer, 2003). However, it is unclear whether we can simply choose to overcome them or whether we have to construct mechanisms that mitigate their influence (for instance, using double-blind experiments to prevent confirmation bias).

6. The Scope and Virtues of Good Reasoning

Whether the process of critical thinking is productive for reasoners—that is, whether it actually answers the questions they are interested in answering—often depends on a number of linguistic, psychological, and social factors. We encountered some of the linguistic factors in §1. In closing, let us consider some of the psychological and social factors that affect the success of applying the tools of critical thinking.

Not all psychological and social contexts are conducive for effective critical thinking. When reasoners are depressed or sad or otherwise emotionally overwhelmed, critical thinking can often be unproductive or counterproductive. For instance, if someone’s child has just died, it would be unproductive (not to mention cruel) to press the philosophical question of why a good God would permit innocents to suffer or whether the child might possibly have a soul that could persist beyond death. Other instances need not be so extreme to make the same point: your company’s holiday party (where most people would rather remain cordial and superficial) is probably not the most productive context in which to debate the president’s domestic policy or the morality of abortion.

The process of critical thinking is primarily about detecting truth, and truth may not always be of paramount value. In some cases, comfort or usefulness may take precedence over truth. The case of the loss of a child is a case where comfort seems to take precedence over truth. Similarly, consider the case of determining what the speed limit should be on interstate highways. Imagine we are trying to decide whether it is better to allow drivers to travel at 75 mph or to restrict them to 65. To be sure, there may be no fact of the matter as to which is morally better, and there may not be any difference in the rate of interstate deaths between states that set the limit at 65 and those that set it at 75. But given the nature of the law, a decision about which speed limit to set must be made. If there is no relevant difference between setting the limit at 65 and setting it at 75, critical thinking can only tell us that , not which speed limit to set. This shows that, in some cases, concern with truth gives way to practical or preferential concerns (for example, Should I make this decision on the basis of what will make citizens happy? Should I base it on whether I will receive more campaign contributions from the business community?). All of this suggests that critical thinking is most productive in contexts where participants are already interested in truth.

b. The Principle of Charity/Humility

Critical thinking is also most productive when people in the conversation regard themselves as fallible, subject to error, misinformation, and deception. The desire to be “right” has a powerful influence on our reasoning behavior. It is so strong that our minds bias us in favor of the beliefs we already hold even in the face of disconfirming evidence (a phenomenon known as “confirmation bias”). In his famous article, “The Ethics of Belief” (1878), W. K. Clifford notes that, “We feel much happier and more secure when we think we know precisely what to do, no matter what happens, than when we have lost our way and do not know where to turn. … It is the sense of power attached to a sense of knowing that makes men desirous of believing, and afraid of doubting” (2010: 354).

Nevertheless, when we are open to the possibility that we are wrong, that is, if we are humble about our conclusions and we interpret others charitably, we have a better chance at having rational beliefs in two senses. First, if we are genuinely willing to consider evidence that we are wrong—and we demonstrate that humility—then we are more likely to listen to others when they raise arguments against our beliefs. If we are certain we are right, there would be little reason to consider contrary evidence. But if we are willing to hear it, we may discover that we really are wrong and give up faulty beliefs for more reasonable ones.

Second, if we are willing to be charitable to arguments against our beliefs, then if our beliefs are unreasonable, we have an opportunity to see the ways in which they are unreasonable. On the other hand, if our beliefs are reasonable, then we can explain more effectively just how well they stand against the criticism. This is weakly analogous to competition in certain types of sporting events, such as basketball. If you only play teams that are far inferior to your own, you do not know how good your team really is. But if you can beat a well-respected team on fair terms, any confidence you have is justified.

c. The Principle of Caution

In our excitement over good arguments, it is easy to overextend our conclusions, that is, to infer statements that are not really warranted by our evidence. From an argument for a first, uncaused cause of the universe, it is tempting to infer the existence of a sophisticated deity such as that of the Judeo-Christian tradition. From an argument for the compatibilism of the free will necessary for moral responsibility and determinism, it is tempting to infer that we are actually morally responsible for our behaviors. From an argument for negative natural rights, it is tempting to infer that no violation of a natural right is justifiable. Therefore, it is prudent to continually check our conclusions to be sure they do not include more content than our premises allow us to infer.

Of course, the principle of caution must itself be used with caution. If applied too strictly, it may lead reasoners to suspend all belief, and refrain from interacting with one another and their world. This is not, strictly speaking, problematic; ancient skeptics, such as the Pyrrhonians, advocated suspending all judgments except those about appearances in hopes of experiencing tranquility. However, at least some judgments about the long-term benefits and harms seem indispensable even for tranquility, for instance, whether we should retaliate in self-defense against an attacker or whether we should try to help a loved one who is addicted to drugs or alcohol.

d. The Expansiveness of Critical Thinking

The importance of critical thinking cannot be overstated because its relevance extends into every area of life, from politics, to science, to religion, to ethics. Not only does critical thinking help us draw inferences for ourselves, it helps us identify and evaluate the assumptions behind statements, the moral implications of statements, and the ideologies to which some statements commit us. This can be a disquieting and difficult process because it forces us to wrestle with preconceptions that might not be accurate. Nevertheless, if the process is conducted well, it can open new opportunities for dialogue, sometimes called “critical spaces,” that allow people who might otherwise disagree to find beliefs in common from which to engage in a more productive conversation.

It is this possibility of creating critical spaces that allows philosophical approaches like Critical Theory to effectively challenge the way social, political, and philosophical debates are framed. For example, if a discussion about race or gender or sexuality or gender is framed in terms that, because of the origins those terms or the way they have functioned socially, alienate or disproportionately exclude certain members of the population, then critical space is necessary for being able to evaluate that framing so that a more productive dialogue can occur (see Foresman, Fosl, and Watson, 2010, ch. 10 for more on how critical thinking and Critical Theory can be mutually supportive).

e. Productivity and the Limits of Rationality

Despite the fact that critical thinking extends into every area of life, not every important aspect of our lives is easily or productively subjected to the tools of language and logic. Thinkers who are tempted to subject everything to the cold light of reason may discover they miss some of what is deeply enjoyable about living. The psychologist Abraham Maslow writes, “I suppose it is tempting, if the only tool you have is a hammer, to treat everything as if it were a nail” (1966: 16). But it is helpful to remember that language and logic are tools, not the projects themselves. Even formal reasoning systems depend on axioms that are not provable within their own systems (consider Euclidean geometry or Peano arithmetic). We must make some decisions about what beliefs to accept and how to live our lives on the basis of considerations outside of critical thinking.

Borrowing an example from William James (1896), consider the statement, “Religion X is true.” James says that, while some people find this statement interesting, and therefore, worth thinking critically about, others may not be able to consider the truth of the statement. For any particular religious tradition, we might not know enough about it to form a belief one way or the other, and even suspending judgment may be difficult, since it is not obvious what we are suspending judgment about.

If I say to you: ‘Be a theosophist or be a Mohammedan,’ it is probably a dead option, because for you neither hypothesis is likely to be alive. But if I say: ‘Be an agnostic or be a Christian,’ it is otherwise: trained as you are, each hypothesis makes some appeal, however small, to your belief (2010: 357).

Ignoring the circularity in his definition of “dead option,” James’s point seems to be that if you know nothing about a view or what statements it entails, no amount of logic or evidence could help you form a reasonable belief about that position.

We might criticize James at this point because his conclusion seems to imply that we have no duty to investigate dead options, that is, to discover if there is anything worth considering in them. If we are concerned with truth, the simple fact that we are not familiar with a proposition does not mean it is not true or potentially significant for us. But James’s argument is subtler than this criticism suggests. Even if you came to learn about a particularly foreign religious tradition, its tenets may be so contrary to your understanding of the world that you could not entertain them as possible beliefs of yours . For instance, you know perfectly well that, if some events had been different, Hitler would not have existed: his parents might have had no children, or his parents’ parents might have had no children. You know roughly what it would mean for Hitler not to have existed and the sort of events that could have made it true that he did not exist. But how much evidence would it take to convince you that, in fact, Hitler did not exist, that is, that your belief that Hitler did exist is false ? Could there be an argument strong enough? Not obviously. Since all the information we have about Hitler unequivocally points to his existence, any arguments against that belief would have to affect a very broad range of statements; they would have to be strong enough to make us skeptical of large parts of reality.

7. Approaches to Improving Reasoning through Critical Thinking

Recall that the goal of critical thinking is not just to study what makes reasons and statements good, but to help us improve our ability to reason, that is, to improve our ability to form, hold, and discard beliefs according to whether they meet the standards of good thinking. Some ways of approaching this latter goal are more effective than others. While the classical approach focuses on technical reasoning skills, the Paul/Elder model encourages us to think in terms of critical concepts, and irrationality approaches use empirical research on instances of poor reasoning to help us improve reasoning where it is least obvious we need it and where we need it most. Which approach or combination of approaches is most effective depends, as noted above, on the context and limits of critical thinking, but also on scientific evidence of their effectiveness. Those who teach critical thinking, of all people, should be engaged with the evidence relevant to determining which approaches are most effective.

a. Classical Approaches

The classic approach to critical thinking follows roughly the structure of this article: critical thinkers attempt to interpret statements or arguments clearly and charitably, and then they apply the tools of formal and informal logic and science, while carefully attempting to avoid fallacious inferences (see Weston, 2008; Walton, 2008; Watson and Arp, 2015). This approach requires spending extensive time learning and practicing technical reasoning strategies. It presupposes that reasoning is primarily a conscious activity, and that enhancing our skills in these areas will improve our ability to reason well in ordinary situations.

There are at least two concerns about this approach. First, it is highly time intensive relative to its payoff. Learning the terminology of systems like propositional and categorical logic and the names of the fallacies, and practicing applying these tools to hypothetical cases requires significant time and energy. And it is not obvious, given the problems with heuristics and biases, whether this practice alone makes us better reasoners in ordinary contexts. Second, many of the ways we reason poorly are not consciously accessible (recall the heuristics and biases discussion in §5c). Our biases, combined with the heuristics we rely on in ordinary situations, can only be detected in experimental settings, and addressing them requires restructuring the ways in which we engage with evidence (see Thaler and Sunstein, 2009).

b. The Paul/Elder Model

Richard Paul and Linda Elder (Paul and Elder, 2006; Paul, 2012) developed an alternative to the classical approach on the assumption that critical thinking is not something that is limited to academic study or to the discipline of philosophy. On their account, critical thinking is a broad set of conceptual skills and habits aimed at a set of standards that are widely regarded as virtues of thinking: clarity, accuracy, depth, fairness, and others. They define it simply as “the art of analyzing and evaluating thinking with a view to improving it” (2006: 4). Their approach, then, is to focus on the elements of thought and intellectual virtues that help us form beliefs that meet these standards.

The Paul/Elder model is made up of three sets of concepts: elements of thought, intellectual standards, and intellectual traits. In this model, we begin by identifying the features present in every act of thought. They use “thought” to mean critical thought aimed at forming beliefs, not just any act of thinking, musing, wishing, hoping, remembering. According to the model, every act of thought involves:

These comprise the subject matter of critical thinking; that is, they are what we are evaluating when we are thinking critically. We then engage with this subject matter by subjecting them to what Paul and Elder call universal intellectual standards. These are evaluative goals we should be aiming at with our thinking:

While in classical approaches, logic is the predominant means of thinking critically, in the Paul/Elder model, it is put on equal footing with eight other standards. Finally, Paul and Elder argue that it is helpful to approach the critical thinking process with a set of intellectual traits or virtues that dispose us to using elements and standards well.

To remind us that these are virtues of thought relevant to critical thinking, they use “intellectual” to distinguish these traits from their moral counterparts (moral integrity, moral courage, and so on).

The aim is that, as we become familiar with these three sets of concepts and apply them in everyday contexts, we become better at analyzing and evaluating statements and arguments in ordinary situations.

Like the classical approach, this approach presupposes that reasoning is primarily a conscious activity, and that enhancing our skills will improve our reasoning. This means that it still lacks the ability to address the empirical evidence that many of our reasoning errors cannot be consciously detected or corrected. It differs from the classical approach in that it gives the technical tools of logic a much less prominent role and places emphasis on a broader, and perhaps more intuitive, set of conceptual tools. Learning and learning to apply these concepts still requires a great deal of time and energy, though perhaps less than learning formal and informal logic. And these concepts are easy to translate into disciplines outside philosophy. Students of history, psychology, and economics can more easily recognize the relevance of asking questions about an author’s point of view and assumptions than perhaps determining whether the author is making a deductive or inductive argument. The question, then, is whether this approach improves our ability to think better than the classical approach.

c. Other Approaches

A third approach that is becoming popular is to focus on the ways we commonly reason poorly and then attempt to correct them. This can be called the Rationality Approach , and it takes seriously the empirical evidence (§5c) that many of our errors in reasoning are not due to a lack of conscious competence with technical skills or misusing those skills, but are due to subconscious dispositions to ignore or dismiss relevant information or to rely on irrelevant information.

One way to pursue this approach is to focus on beliefs that are statistically rare or “weird.” These include beliefs of fringe groups, such as conspiracy theorists, religious extremists, paranormal psychologists, and proponents of New Age metaphysics (see Gilovich, 1992; Vaughn and Schick, 2010; Coady, 2012). If we recognize the sorts of tendencies that lead to these controversial beliefs, we might be able to recognize and avoid similar tendencies in our own reasoning about less extreme beliefs, such as beliefs about financial investing, how statistics are used to justify business decisions, and beliefs about which public policies to vote for.

Another way to pursue this approach is to focus directly on the research on error, those ordinary beliefs that psychologists and behavioral economists have discovered we reason poorly, and to explore ways of changing how we frame decisions about what to believe (see Nisbett and Ross, 1980; Gilovich, 1992; Ariely, 2008; Kahneman, 2011). For example, in one study, psychologists found that judges issue more convictions just before lunch and the end of the day than in the morning or just after lunch (Danzinger, et al., 2010). Given that dockets do not typically organize cases from less significant crimes to more significant crimes, this evidence suggests that something as irrelevant as hunger can bias judicial decisions. Even though hunger has nothing to do with the truth of a belief, knowing that it can affect how we evaluate a belief can help us avoid that effect. This study might suggest something as simple as that we should avoid being hungry when making important decisions. The more we learn ways in which our brains use irrelevant information, the better we can organize our reasoning to avoid these mistakes. For more on how decisions can be improved by restructuring our decisions, see Thaler and Sunstein, 2009.

A fourth approach is to take more seriously the role that language plays in our reasoning. Arguments involve complex patterns of expression, and we have already seen how vagueness and ambiguity can undermine good reasoning (§1). The pragma-dialectics approach (or pragma-dialectical theory) is the view that the quality of an argument is not solely or even primarily a matter of its logical structure, but is more fundamentally a matter of whether it is a form of reasonable discourse (Van Eemeren and Grootendorst, 1992). The proponents of this view contend that, “The study of argumentation should … be construed as a special branch of linguistic pragmatics in which descriptive and normative perspectives on argumentative discourse are methodically integrated” (Van Eemeren and Grootendorst, 1995: 130).

The pragma-dialectics approach is a highly technical approach that uses insights from speech act theory, H. P. Grice’s philosophy of language, and the study of discourse analysis. Its use, therefore, requires a great deal of background in philosophy and linguistics. It has an advantage over other approaches in that it highlights social and practical dimensions of arguments that other approaches largely ignore. For example, argument is often public ( external ), in that it creates an opportunity for opposition, which influences people’s motives and psychological attitudes toward their arguments. Argument is also social in that it is part of a discourse in which two or more people try to arrive at an agreement. Argument is also functional ; it aims at a resolution that can only be accommodated by addressing all the aspects of disagreement or anticipated disagreement, which can include public and social elements. Argument also has a rhetorical role ( dialectical ) in that it is aimed at actually convincing others, which may have different requirements than simply identifying the conditions under which they should be convinced.

These four approaches are not mutually exclusive. All of them presuppose, for example, the importance of inductive reasoning and scientific evidence. Their distinctions turn largely on which aspects of statements and arguments should take precedence in the critical thinking process and on what information will help us have better beliefs.

8. References and Further Reading

• Ariely, Dan. 2008. Predictably Irrational: The Hidden Forces that Shape Our Decisions. New York: Harper Perennial.
• Ariely, Dan. 2010. The Upside of Irrationality. New York: Harper Perennial.
• Ariely, Dan. 2012. The (Honest) Truth about Dishonesty. New York: Harper Perennial.
• Aristotle. 2002. Categories and De Interpretatione, J. L. Akrill, editor. Oxford: University of Oxford Press.
• Clifford, W. K. 2010. “The Ethics of Belief.” In Nils Ch. Rauhut and Robert Bass, eds., Readings on the Ultimate Questions: An Introduction to Philosophy, 3rd ed. Boston: Prentice Hall, 351-356.
• Chomsky, Noam. 1957/2002. Syntactic Structures. Berlin: Mouton de Gruyter.
• Coady, David. What To Believe Now: Applying Epistemology to Contemporary Issues. Malden, MA: Wiley-Blackwell, 2012.
• Danzinger, Shai, Jonathan Levav, and Liora Avnaim-Pesso. 2011. “Extraneous Factors in Judicial Decisions.” Proceedings of the National Academy of Sciences of the United States of America. Vol. 108, No. 17, 6889-6892. doi: 10.1073/pnas.1018033108.
• Foresman, Galen, Peter Fosl, and Jamie Carlin Watson. 2017. The Critical Thinking Toolkit. Malden, MA: Wiley-Blackwell.
• Fogelin, Robert J. and Walter Sinnott-Armstrong. 2009. Understanding Arguments: An Introduction to Informal Logic, 8th ed. Belmont, CA: Wadsworth Cengage Learning.
• Gigerenzer, Gerd. 2003. Calculated Risks: How To Know When Numbers Deceive You. New York: Simon and Schuster.
• Gigerenzer, Gerd, Peter Todd, and the ABC Research Group. 2000. Simple Heuristics that Make Us Smart. Oxford University Press.
• Gilovich, Thomas. 1992. How We Know What Isn’t So. New York: Free Press.
• James, William. “The Will to Believe”, in Nils Ch. Rauhut and Robert Bass, eds., Readings on the Ultimate Questions: An Introduction to Philosophy, 3rd ed. Boston: Prentice Hall, 2010, 356-364.
• Kahneman, Daniel. 2011. Thinking Fast and Slow. New York: Farrar, Strauss and Giroux.
• Lewis, David. 1986. On the Plurality of Worlds. Oxford Blackwell.
• Lipton, Peter. 2004. Inference to the Best Explanation, 2nd ed. London: Routledge.
• Maslow, Abraham. 1966. The Psychology of Science: A Reconnaissance. New York: Harper & Row.
• Mill, John Stuart. 2011. A System of Logic, Ratiocinative and Inductive. New York: Cambridge University Press.
• Nisbett, Richard and Lee Ross. 1980. Human Inference: Strategies and Shortcomings of Social Judgment. Englewood Cliffs, NJ: Prentice Hall.
• Paul, Richard. 2012. Critical Thinking: What Every Person Needs to Survive in a Rapidly Changing World. Tomales, CA: The Foundation for Critical Thinking.
• Paul, Richard and Linda Elder. 2006. The Miniature Guide to Critical Thinking Concepts and Tools, 4th ed. Tomales, CA: The Foundation for Critical Thinking.
• Plantinga, Alvin. 1974. The Nature of Necessity. Oxford Clarendon.
• Prior, Arthur. 1957. Time and Modality. Oxford, UK: Oxford University Press.
• Prior, Arthur. 1967. Past, Present and Future. Oxford, UK: Oxford University Press.
• Prior, Arthur. 1968. Papers on Time and Tense. Oxford, UK: Oxford University Press.
• Quine, W. V. O. and J. S. Ullian. 1978. The Web of Belief, 2nd ed. McGraw-Hill.
• Russell, Bertrand. 1940/1996. An Inquiry into Meaning and Truth, 2nd ed. London: Routledge.
• Thaler, Richard and Cass Sunstein. 2009. Nudge: Improving Decisions about Health, Wealth, and Happiness. New York: Penguin Books.
• van Eemeren, Frans H. and Rob Grootendorst. 1992. Argumentation, Communication, and Fallacies: A Pragma-Dialectical Perspective. London: Routledge.
• van Eemeren, Frans H. and Rob Grootendorst. 1995. “The Pragma-Dialectical Approach to Fallacies.” In Hans V. Hansen and Robert C. Pinto, eds. Fallacies: Classical and Contemporary Readings. Penn State University Press, 130-144.
• Vaughn, Lewis and Theodore Schick. 2010. How To Think About Weird Things: Critical Thinking for a New Age, 6th ed. McGraw-Hill.
• Walton, Douglas. 2008. Informal Logic: A Pragmatic Approach, 2nd ed. New York: Cambridge University Press.
• Watson, Jamie Carlin and Robert Arp. 2015. Critical Thinking: An Introduction to Reasoning Well, 2nd ed. London: Bloomsbury Academic.
• Weston, Anthony. 2008. A Rulebook for Arguments, 4th ed. Indianapolis: Hackett.
• Zadeh, Lofti. 1965. “Fuzzy Sets and Systems.” In J. Fox, ed., System Theory. Brooklyn, NY: Polytechnic Press, 29-39.

Author Information

Jamie Carlin Watson Email: [email protected] University of Arkansas for Medical Sciences U. S. A.

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IDENTIFYING ARGUMENTS

8.1 WHAT IS AN ARGUMENT?

In ordinary usage, an argument is often taken to be a somewhat heated dispute between people. But in logic and critical thinking, an argument is a list of statements, one of which is the conclusion and the others are the premises or assumptions of the argument. An example:

It is raining.

So you should bring an umbrella.

In this argument, the first statement is the premise and the second one the conclusion. The premises of an argument are offered as reasons for accepting the conclusion. It is therefore irrational to accept an argument as a good one and yet refuse to accept the conclusion. Giving reasons is a central part of critical thinking. It is not the same as simply expressing an opinion. If you say “that dress looks nice,” you are only expressing an opinion. But if you say “that dress looks nice because the design is very elegant,” then it would be an argument indeed. Dogmatic people tend to make assertions without giving arguments. When they cannot defend themselves, they often resort to responses such as “this is a matter of opinion,” “this is just what you think,” or “I have the right to believe whatever I want.”

The ability to construct, identify, and evaluate arguments is a crucial part of critical thinking. Giving good arguments helps us convince other people, and improve our presentation and debating skills. More important, using arguments to support our beliefs with reasons is likely to help us discover the ...

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3.1: The Basics

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So far, we’ve discussed the basic ideas behind arguments or inferences. Each argument has premises which are the assumptions or the support of the argument. Each argument also has usually one, but sometimes more conclusions . The conclusion is the main point of the argument. The goal of any argument is to offer reasons for believing the conclusion. The reasons are the premises and the claim that you are supposed to accept if you agree with the argument is the conclusion.

So far so good. But there’s a lot more that we can say about arguments.

Ideally, when we’re trying to understand an argument fully—long before we decide whether or not we agree with the argument or whether or not it’s a good argument—we have a full grasp of the structure of the argument. That is, we need to know which premises go with which other premises, whether each premise is supposed to directly demonstrate the conclusion or is merely indirect support for the conclusion, etc. In short, we need a map or a diagram of the argument before we can decide whether or not it’s a good argument.

Simple arguments are called syllogisms: 2 premises and 1 conclusion and immediate inferences: 1 premise and 1 conclusion.

I like all vegetables

Carrots are a vegetable

So I like Carrots

So, there aren’t any vegetables I don’t like.

But normal arguments (arguments you’d find in a letter to the editor or in a social media post or on the radio or tv) aren’t like that—they have more premises, some of which don’t directly support the conclusion, but instead support other premises. It’s like a big complex argument that’s actually made out of smaller arguments.

So, if you want to understand how a complex argument in the real world hangs together, you need to be able to construct a map or diagram of that argument.

We’ll need to find out two things about each premise:

1. What kind of support does it offer for its conclusion? Does it support its conclusion in conjunction with other premises? Or does it instead form an argument by itself for the conclusion?

2. Does it support the main conclusion directly? Or does it instead support the conclusion indirectly by offering support for another premise, which in turn supports the main conclusion?

How do we go about actually building an Argument Map? Well, we could choose any convention at all, so we have to decide on what sorts of shapes, labels, symbols, etc. we’ll use for the sake of this course.

The first thing to note is that some people teach argument mapping going in an upwards direction—meaning that the conclusion would be on top and the premises for the conclusion would be below it. But we’re going to go a different way so that our argument maps more clearly track the usual format of an argument: the premises on top and the conclusion on bottom.

Here are some basic concepts and the associated conventional symbols and shapes:

Conjoint vs. Independent Support

We need to be able to decide (once we’ve sorted out which are premises for which conclusion) what kind of support a set of premises provide for their conclusion. It’s independent support when each premise seems like it’s an argument for the conclusion on its own. It’s conjoint support when a premise doesn’t seem to support the conclusion without the help of the other premises. A good test for conjoint support is to pretend one of the premises is false . Does this affect the inference(s) from the other premise(s) to the conclusion?

Labradors are gentle, but they aren’t very aggressive,

so they wouldn’t make good guard dogs.

This feels like independent support because each inference makes sense on its own:

Labradors are gentle,

Labradors aren’t very aggressive,

Let’s look at another:

[1] Vegetables are healthy and [2] tomatoes are vegetables, so [3] tomatoes are healthy.

Since 1 is a general principle and 2 is an instance of that general principle (or something like that), it makes sense to think that they’re conjoint. Any time you see this pattern—where one premise is a definition or general claim and another premise is a more particular claim that falls under that definition or general claim—you’ll think that those premises are likely conjoint.

The "General-Specific Pattern

When you see two premises where one premise is a general definition, a generalization, a hypothetical or conditional, or a general principle, and the other premise is a specific claim about an individual under that generalization, those are almost certain to be conjoint premises.

• A motorbike is any two-wheeled motor-driven vehicle and that moped has two wheels that are driven by a motor, so...
• If anyone goes to the amusement park, they’re going to be exhausted at the end of the day; and Cheri went to Six Flags today, so...
• Lying is wrong, but getting out of trouble would require me to lie, so....

If we try negating 2, then the inference doesn’t make any sense:

[1] Vegetables are healthy and [2] tomatoes are not vegetables , so [3] tomatoes are healthy.

If we try negating 1, the inference falls apart again:

[1] Vegetables are unhealthy and [2] tomatoes are vegetables, so [3] tomatoes are healthy.

Let’s try one more slightly more complex conjoint support example:

Example \(\PageIndex{1}\)

[1] Gina told me the Earth is round and [2] Gina wouldn’t lie to me, and furthermore [3] Gina is an astrophysicist, so [4] the Earth is round.

Let’s try the negation test on 1:

[1] Gina told me the Earth is flat and [2] Gina wouldn’t lie to me, and furthermore [3] Gina is an astrophysicist, so [4] the Earth is round.

What??? Let’s try it on 2:

[1] Gina told me the Earth is round and [2] Gina often lies to me , and furthermore [3] Gina is an astrophysicist, so [4] the Earth is round.

What???? Let’s try it on 3:

[1] Gina told me the Earth is round and [2] Gina wouldn’t lie to me, and furthermore [3] Gina is not an astrophysicist , so [4] the Earth is round.

Well... this isn’t as incoherent as the other examples. But why mention that Gina is an astrophysicist at all if it doesn’t at least help 1 and 2 demonstrate the conclusion that the Earth is round? With the negation of 3 as part of the argument, it seems thoroughly awkward that we should be talking about Gina being or not being an astrophysicist at all. If anything, it seems to work against the inference.

What’s the lesson here? The negation test isn’t perfect, but it does almost always reveal when you’ve got a premise that seems to work together with other premises. In the Gina case, we’ve got a premise that is closely related in subject matter and so we’ve got some reason to conjoin it with 1 and 2.

Here’s how we go about mapping conjoint vs. independent support once we’ve decided what sort of support is involved.

Mapping Independent Support

Example \(\pageindex{2}\).

We use multiple arrows to signify multiple independent inferences. So, we have many premises which do not work together to demonstrate the conclusion . Each premise offers its own reason for accepting the conclusion.

Paradigm example:

(1) This test is easy.

(2) Tetsuo got an A on the test and

(3) Xochitl got an A on the test and

(4) Francisco got an A on the test.

If the other premises were not there, the argument would not fall apart. The premises don’t need each other to be true to support the conclusion.

“Given 2, 1 follows, and given 3, 1 follows, and given 4, 1 follow.”

Independent support is really like having multiple inferences. So the map above seems to tell us that there are three separate inferences that just happen to have the same conclusion.

Mapping Conjoint Support

Example \(\pageindex{3}\).

We use brackets to signify a single inference with many conjoint or mutually dependent premises . The premises work together to support the conclusion . Without the other conjoint premises, it would be unclear why one conjoint premise should be taken as a reason for accepting the conclusion.

(1) You are behaving unfairly.

(2) You’re giving more to some than to others and

(3) giving more to some than to others isn’t fair.

If any one of them is false or wasn’t there to begin with, the inference falls apart.

“Given 2, 1 doesn’t follow unless we also have 3 (and 4, 5, 6, ...).”

Deductive arguments are more often than not conjoint support. This is just a rough and ready rule, but the way standard Deductive arguments (without extra irrelevant premises) work is that the premises are all necessary for the inference to demonstrate the conclusion. So it makes sense that they would be conjoint premises.

Here’s a complete example of a problem like you might see on a quiz or exam (though they’ll usually be less complex than these, at least to start out).

Example \(\PageIndex{4}\)

(1) Government mandates for zero-emission vehicles won’t work because (2) only electric cars qualify as zero-emission vehicles, and (3) electric cars won’t sell. (4) They are too expensive, (5) their range of operation is too limited, and (6) recharging facilities are not generally available.

Adding in 3 makes the inference make sense again ( Oh, I see, electric cars won’t solve our problems ). You can do the same by taking 2 away. Wait, we’ll say, what about other zero-emission vehicles ??? Adding 2 back in makes sense of the inference.

4, 5, and 6 are independent because they don’t have much to do with one another. The inference from 4 to 3, 5 to 3, and 6 to 3 all makes sense. “They’re too expensive, so they won’t sell.” (makes sense). “Their range is limited, so they won’t sell” (makes sense). “There aren’t enough recharging facilities, so they won’t sell” (makes sense!).

Example \(\PageIndex{5}\)

We also use downward braces if there are more than one conclusion for any given inference. This is called Multiple Conclusions .

(1) The president may have her faults, but

(2) she is an outstanding leader and

(3) we should reelect her.

(4) Her foreign policy has brought about respite from violence in various war torn regions as

(5) she sent in troops to protect refugees in Rwanda and (6) she negotiated an armistice between Egypt and Israel. (7) Her economic policy has also been largely successful in that (8) a potential recession has been avoided for now. (9) She is also a great moral leader as (10) hers is a model family and (11) she demonstrates true integrity daily.

Notice how 1 isn’t actually part of the argument: it just introduces the topic but isn’t a premise or conclusion. 2 and 3 are both conclusions (notice the “and”, which often links premises to premises and conclusions to conclusion) because neither is a premise/evidence for the other and both are implied by the rest of the argument (4, 7, and 9).

Why did we go with independent support for all of the top-most premises? Try to reason through it on your own.

Terminology

Let’s introduce some new terminology so we can have a common language with which to talk about arguments:

• A “ level ” or “ layer ” of an argument map is one horizontal row of a carefully-drawn argument map. Notice how the previous argument map above is drawn so that even though there’s a lot going on in the argument, we can see 3 distinct layers or horizontal rows?
• A Main Conclusion is the final conclusion of the argument. It doesn’t serve as a premise/support for any other proposition in the complex argument. It’s always in the bottom-most layer
• A Main Premise is one among the set of premises that directly support the main conclusion. It’s always in the layer that’s the second from the bottom.
• A sub-premise is a premise in a sub-inference.
• A sub-conclusion is a conclusion in a sub-inference. (Note that a sub-conclusion is always a premise itself, and that it is usually one of the main premises unless the argument gets really complex).

So here it is, the anatomy of a typical 3-layer argument diagram:

The following excerpt from Knachel’s text covers some of the same ground we just covered, but sometimes it’s helpful to see a different explanation of the same thing:

From: Knachel, Matthew, "Fundamental Methods of Logic" (2017).

Philosophy Faculty Books. 1. http://dc.uwm.edu/phil_facbooks/1

Creative Commons Attribution 4.0 International License

V. Diagramming Arguments

Before we get down to the business of evaluating arguments—of judging them valid or invalid, strong or weak—we still need to do some preliminary work. We need to develop our analytical skills to gain a deeper understanding of how arguments are constructed, how they hang together. So far, we’ve said that the premises are there to support the conclusion. But we’ve done very little in the way of analyzing the structure of arguments: we’ve just separated the premises from the conclusion. We know that the premises are supposed to support the conclusion. What we haven’t explored is the question of just how the premises in a given argument do that job—how they work together to support the conclusion, what kinds of relationships they have with one another. This is a deeper level of analysis than merely distinguishing the premises from the conclusion; it will require a mode of presentation more elaborate than a list of propositions with the bottom one separated from the others by a horizontal line. To display our understanding of the relationships among premises supporting the conclusion, we are going to depict them: we are going to draw diagrams of arguments.

Here’s how the diagrams will work. They will consist of three elements: (1) circles with numbers inside them—each of the propositions in the argument we’re diagramming will be assigned a number, so these circled numbers in the diagram will represent the propositions; (2) arrows pointed at circled numbers—these will represent relationships of support, where one or more propositions provide a reason for believing the one pointed to; and (3) horizontal brackets—propositions connected by these will be interdependent (in a sense to be specified below).

Our diagrams will always feature the circled number corresponding to the conclusion at the bottom. The premises will be above, with brackets and arrows indicating how they collectively support the conclusion and how they’re related to one another. There are a number of different relationships that premises can have to one another. We will learn how to draw diagrams of arguments by considering them in turn.

Independent Premises

Often, different premises will support a conclusion—or another premise—individually, without help from any others. When this is the case, we draw an arrow from the circled number representing that premise to the circled number representing the proposition it supports.

Consider this simple argument:

\(\require{enclose} \enclose{circle}{\kern .06em 1\kern .06em}\) Marijuana is less addictive than alcohol. In addition, \(\enclose{circle}{\kern .06em 2\kern .06em}\) it can be used as a medicine to treat a variety of conditions. Therefore, \(\enclose{circle}{\kern .06em 3\kern .06em}\) marijuana should be legal.

The last proposition is clearly the conclusion (the word ‘therefore’ is a big clue), and the first two propositions are the premises supporting it. They support the conclusion independently. The mark of independence is this: each of the premises would still provide support for the conclusion even if the other weren’t true; each, on its own, gives you a reason for believing the conclusion. In this case, then, we diagram the argument as follows:

Intermediate Premises

Some premises support their conclusions more directly than others. Premises provide more indirect support for a conclusion by providing a reason to believe another premise that supports the conclusion more directly. That is, some premises are intermediate between the conclusion and other premises.

\(\enclose{circle}{\kern .06em 1\kern .06em}\) Automatic weapons should be illegal. \(\enclose{circle}{\kern .06em 2\kern .06em}\) They can be used to kill large numbers of people in a short amount of time. This is because \(\enclose{circle}{\kern .06em 3\kern .06em}\) all you have to do is hold down the trigger and bullets come flying out in rapid succession.

The conclusion of this argument is the first proposition, so the premises are propositions 2 and 3. Notice, though, that there’s a relationship between those two claims. The third sentence starts with the phrase ‘This is because’, indicating that it provides a reason for another claim. The other claim is proposition 2; ‘This’ refers to the claim that automatic weapons can kill large numbers of people quickly. Why should I believe that they can do that? Because all one has to do is hold down the trigger to release lots of bullets really fast. Proposition 2 provides immediate support for the conclusion (automatic weapons can kill lots of people really quickly, so we should make them illegal); proposition 3 supports the conclusion more indirectly, by giving support to proposition 2. Here is how we diagram in this case:

Joint Premises

Sometimes premises need each other: the job of supporting another proposition can’t be done by each on its own; they can only provide support together, jointly. Far from being independent, such premises are interdependent. In this situation, on our diagrams, we join together the interdependent premises with a bracket underneath their circled numbers.

There are a number of different ways in which premises can provide joint support. Sometimes, premises just fit together like a hand in a glove; or, switching metaphors, one premise is like the key that fits into the other to unlock the proposition they jointly support. An example can make this clear:

\(\enclose{circle}{\kern .06em 1\kern .06em}\) The chef has decided that either salmon or chicken will be tonight’s special. \(\enclose{circle}{\kern .06em 2\kern .06em}\) Salmon won’t be the special. Therefore, \(\enclose{circle}{\kern .06em 3\kern .06em}\) the special will be chicken.

Neither premise 1 nor premise 2 can support the conclusion on its own. A useful rule of thumb for checking whether one proposition can support another is this: read the first proposition, then say the word ‘therefore’, then read the second proposition; if it doesn’t make any sense, then you can’t draw an arrow from the one to the other. Let’s try it here: “The chef has decided that either salmon or chicken will be tonight’s special; therefore, the special will be chicken.” That doesn’t make any sense. What happened to salmon? Proposition 1 can’t support the conclusion on its own. Neither can the second: “Salmon won’t be the special; therefore, the special will be chicken.” Again, that makes no sense. Why chicken? What about steak, or lobster? The second proposition can’t support the conclusion on its own, either; it needs help from the first proposition, which tells us that if it’s not salmon, it’s chicken. Propositions 1 and 2 need each other; they support the conclusion jointly. This is how we diagram the argument:

The same diagram would depict the following argument:

\(\enclose{circle}{\kern .06em 1\kern .06em}\) John Le Carre gives us realistic, three-dimensional characters and complex, interesting plots. \(\enclose{circle}{\kern .06em 2\kern .06em}\) Ian Fleming, on the other hand, presents an unrealistically glamorous picture of international espionage, and his plotting isn’t what you’d call immersive. \(\enclose{circle}{\kern .06em 3\kern .06em}\) Le Carre is a better author of spy novels than Fleming.

In this example, the premises work jointly in a different way than in the previous example. Rather than fitting together hand-in-glove, these premises each give us half of what we need to arrive at the conclusion. The conclusion is a comparison between two authors. Each of the premises makes claims about one of the two authors. Neither one, on its own, can support the comparison, because the comparison is a claim about both of them. The premises can only support the conclusion together. We would diagram this argument the same way as the last one.

Another common pattern for joint premises is when general propositions need help to provide support for particular propositions. Consider the following argument:

We shouldn’t elect someone who has proven an incompetent business leader.

Candidate Z has proven an incompetent CEO. So, we shouldn’t elect Candidate Z.

These premises will be mapped with conjoint support since the premises need to work together to show the conclusion. One general principle about who we shouldn’t elect, and one particular claim about Candidate Z.

End Knachel Text

Let’s walk through a few examples of arguments that need mapping:

Example \(\PageIndex{6}\)

She's the best girlfriend ever. She bought me a new backpack for Christmas, she's never late for a date, and she always treats me with care.

First, we need to identify each proposition —that is, each claim that can be true or false independently of the other claims. This is a bit interpretive, so sometimes there aren’t hard and fast rules that produce one particular right answer, but generally we can all come up with the same propositions:

(1) She's the best girlfriend ever. (2) She bought me a new backpack for Christmas, (3) she's never late for a date, and (4) she always treats me with care.

What a nice young person! Next, we need to decide what the conclusion is and which propositions are premises. A nice test that often helps is to read all of the premises and then say “therefore...” and then read what you think is the conclusion. It should make sense as an inference if you do this properly. For instance, this is clearly not so good:

She’s the best girlfriend ever, she bought me a new backpack, and she always treats me with care, therefore she’s never late for a date.

Uhhhhh...what?

This one sounds a lot more sensical:

She bought me a new backpack, she’s never late for a date, and she always treats me with care, therefore she’s the best girlfriend ever.

It seems like the three premises are evidence for the claim that she is the best girlfriend ever. The thing we’re being asked to believe as a result of this reasoning is that she’s the best girlfriend ever. So that is the conclusion of the inference.

Now we’ve already basically ruled out that 2, 3, and 4 have any inferential relationship between them. They all seem to give us reasons for believing the conclusion directly. Furthermore, none of them seems to give us reason for believing any other. Maybe 4 could be the conclusion of 2, but that’s a real stretch. So based on all of this, we can reasonably conclude that 2, 3, and 4 are all on the same level and are all main premises for the conclusion.

Next, we need to decide if these are conjoint or independent premises. What do you think?

How do we decide? Using the negation test. If negating or saying the opposite of one premise doesn’t make the inference fall apart, then the premises are not conjoint —they’re independent. Let’s try it here:

She bought me a new backpack, she’s sometimes late for a date , and she always treats me with care, therefore she’s the best girlfriend ever.

I mean, it is a bit weird, but it’s not nonsense . Sure, she’s sometimes late for a date, but the inference still makes sense.

She hasn’t bought me a new backpack , but she’s never late for a date, and she always treats me with care, therefore she’s the best girlfriend ever.

Again, it’s strange, but not nonsensical. We wonder why the backpack thing is brought up in the first place, but we don’t immediately think “oh, well, she can’t be the best girlfriend ever if she hasn’t bought you a backpack!” Instead, we just think, “she’s clearly an excellent partner, backpack or none.”

The last one is a bit stranger:

She bought me a new backpack, she’s never late for a date, but she doesn’t always treat me with care , therefore she’s the best girlfriend ever.

Interesting...the case is definitely pretty weak for her being the bester girlfriend ever at this point, but the inference hasn’t utterly fallen apart. An opposite conclusion doesn’t now follow, we just have weaker reason for accepting the conclusion than we had before. This test reveals how strong a piece of evidence proposition 4 was for the conclusion in the original argument, but it doesn’t tell us that 4 is conjoint—the argument didn’t fall apart.

With all of this in mind, the premises appear to be independent reasons from one another for accepting the conclusion that she is the best girlfriend ever. So the argument map looks like so:

How about another example? This time I’ve skipped right to numbered propositions:

Example \(\PageIndex{7}\)

(1) Obama was the best President in American history. (2) He protected people with pre-existing medical conditions from certain financial ruin or death by passing the Affordable Care Act, and (3) that feat was among the greatest legislative victories an American President has ever known. (4) He was able to topple the head of Al-Qaida and the mastermind of the 9/11 attacks, and (5) he oversaw the recovery from the largest economic disaster since the Great Depression. (6) Anyone who could bring us back from the brink of global economic meltdown to a stable and healthy economic like we had at the end of his tenure must be a truly great president.

Before we ever get to the question of whether or not this is a good argument, or what’s wrong with it if anything, or whether or not the conclusion is true, we must understand the argument. In particular we must understand the structure of the argument. This argument is complex, so what’s going on here?

What’s the conclusion? It’s probably somewhat obvious here. There’s one claim that seems like the kind of claim someone might have as a thesis statement, or might defend in an Oxford-style debate. There’s one claim that seems to unify the rest of the propositions: everything is meant to justify or defend the claim that Obama was the best President in American history.

With a longer argument like this, sometimes it is best to simply work sentence-by-sentence. 2 and 3 are part of the same sentence. The “and” tells us that there probably is no inferential link between 2 and 3. “and” is usually not interchangeable with “therefore”. When we read the content of 2 and 3, furthermore, 3 makes reference to 2. Often when a premise makes reference to another premise we can conclude that they are conjoint premises. Not always, mind you, and often that means that one is a subpremise for the other. Nevertheless, in this case the reference to “that feat” in 3 ties 3 to 2 conjointly. We can run the negative test to be sure we’re correct here:

(1) Obama was the best President in American history. (2) He protected people with pre-existing medical conditions from certain financial ruin or death by passing the Affordable Care Act, and (3) that feat was an unremarkable legislative accomplishment.

Now I’m unclear why we should think he’s the best president in history if the reason we’re being given is that he passed an important, but unremarkable piece of legislation. Not convincing. If anything, it seems to suggest that he was a fine, but unremarkable president.

(1) Obama was the best President in American history. (2) He didn’t protect people with pre-existing medical conditions from certain financial ruin or death by passing the Affordable Care Act, and (3) that feat would have been among the greatest legislative victories an American President has ever known.

Ummm...no. His not passing landmark legislation doesn’t make him the best president.

This is one way you know you’re dealing with conjoint premises: if one premise explains how the other premise supports the conclusion.

So these two premises are conjoint. What about 4? It’s part of the same sentence as 5, but the topics are so wildly different that it’s hard to see how they could be conjoint premises. Instead, it seems safe to assume they’re independent and that they’re independent from 2 and 3 for the same reason. They do, however, appear to be premises for the main conclusion (1) and so appear to belong on the second level with the other main premises 2 and 3.

The last proposition, though, seems to essentially be about the same topic as 5 and furthermore seems to be the reason 5 supports the conclusion. This is one way you know you’re dealing with conjoint premises: if one premise explains how the other premise supports the conclusion. So 6 and 5 appear to be conjoint. If you ran the negative test, you’d soon learn that the negated inferences make no sense.

As a result, the whole argument map, which is a bit strange looking, looks like this:

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8 Arguments and Critical Thinking

J. anthony blair, introduction [1].

This chapter discusses two different conceptions of argument, and then discusses the role of arguments in critical thinking. It is followed by a chapter in which David Hitchcock carefully analyses one common concept of an argument.

1. Two meanings of ‘argument’

The word ‘argument’ is used in a great many ways. Any thorough understanding of arguments requires understanding ‘argument’ in each of its senses or uses. These may be divided into two large groupings: arguments had or engaged in , and arguments made or used . I begin with the former.

1.1 A n ‘a rgument’ as something two parties have with each othe r, something they get into, the kind of ‘argument’ one has in mind in de scribing two people as “arguing all the time ”

For many people outside academia or the practice of law, an argument is a quarrel . It is usually a verbal quarrel, but it doesn’t have to use words. If dishes are flying or people are glaring at each other in angry silence, it can still be an argument. What makes a quarrel an argument is that it involves a communication between two or more parties (however dysfunctional the communication may be) in which the parties disagree and in which that disagreement and reasons, actual or alleged, motivating it are expressed—usually in words or other communicative gestures.

Quarrels are emotional. The participants experience and express emotions, although that feature is not exclusive to arguments that are quarrels. People can and do argue emotionally, and (or) when inspired by strong emotions, when they are not quarrelling. Heated arguments are not necessarily quarrels; but quarrels tend to be heated.

What makes quarrels emotional in some cases is that at least one party experiences the disagreement as representing some sort of personal attack, and so experiences his or her ego or sense of self-worth as being threatened. Fear is a reaction to a perceived threat, and anger is a way of coping with fear and also with embarrassment and shame. In other cases, the argument about the ostensible disagreement is a reminder of or a pretext for airing another, deeper grievance. Jealousy and resentment fuel quarrels. Traces of ego-involvement often surface even in what are supposed to be more civilized argumentative exchanges, such as scholarly disputes. Quarrels tend not to be efficient ways of resolving the disagreements that gives rise to them because the subject of a disagreement changes as the emotional attacks escalate or because the quarrel was often not really about that ostensible disagreement in the first place.

In teaching that ‘argument’ has different senses, it is misleading to leave the impression (as many textbooks do) that quarrels are the only species of argument of this genus. In fact they are just one instance of a large class of arguments in this sense of extended, expressed, disagreements between or among two or more parties.

A dispute is an argument in this sense that need not be a quarrel. It is a disagreement between usually two parties about the legality, or morality, or the propriety on some other basis, of a particular act or policy. It can be engaged in a civil way by the disputants or their proxies (e.g., their spokespersons or their lawyers). Sometimes only the disputing parties settle their difference; sometimes a third party such as a mediator, arbitrator or judge is called in to impose a settlement.

A debate is another argument of this general kind. Debates are more or less formalized or regimented verbal exchanges between parties who might disagree, but in any case who take up opposing sides on an issue. Procedural rules that govern turn-taking, time available for each turn, and topics that may be addressed are agreed to when political opponents debate one another. Strict and precise rules of order govern who may speak, who must be addressed, sometimes time limits for interventions, in parliamentary or congressional debates in political decision-making bodies, or in formal intercollegiate competitive debates. Usually the “opponent” directly addressed in the debate is not the party that each speaker is trying to influence, so although the expressed goal is to “win” the debate, winning does not entail getting the opponent to concede. Instead, it calls for convincing an on-looking party or audience—the judge of the debate or the jury in a courtroom or the television audience or the press or the electorate as a whole—of the superior merits of one’s case for the opinion being argued for in the debate.

To be distinguished from a debate and a dispute by such factors as scale is a controversy . Think of such issues as the abortion controversy, the climate change controversy, the same-sex marriage controversy, the LGBT rights controversy, the animal rights controversy. The participants are many—often millions. The issues are complex and there are many disputes about details involved, including sometimes even formal debates between representatives of different sides. Typically there is a range of positions, and there might be several different sides each with positions that vary one from another. A controversy typically occurs over an extended period of time, often years and sometime decades long. But an entire controversy can be called an argument, as in, “the argument over climate change.” Controversies tend to be unregulated, unlike debates but like quarrels, although they need not be particularly angry even when they are emotional. Like quarrels, and unlike debates, the conditions under which controversies occur, including any constraints on them, are shaped by the participants.

Somewhere among quarrels, debates and controversies lie the theoretical arguments that theorists in academic disciplines engage in, in academic journals and scholarly monographs. In such arguments theorists take positions, sometimes siding with others and sometimes standing alone, and they argue back and forth about which theoretical position is the correct one. In a related type of argument, just two people argue back and forth about what is the correct position on some issue (including meta-level arguments about what is the correct way to frame the issue in the first place).

The stakes don’t have to be theories and the participants don’t have to be academics. Friends argue about which team will win the championship, where the best fishing spot is located, or what titles to select for the book club. Family members argue about how to spend their income, what school to send the children to, or whether a child is old enough to go on a date without a chaperone. Co-workers argue about the best way to do a job, whether to change service providers, whether to introduce a new product line, and so on. These arguments are usually amicable, whether or not they settle the question in dispute.

All of these kinds of “argument” in this sense of the term—quarrels, friendly disputes, arguments at work, professional arguments about theoretical positions, formal or informal debates, and various kinds of controversy—share several features.

• They involve communications between or among two or more people. Something initiates the communication, and either something ends it or there are ways for participants to join and to exit the conversation. They entail turn-taking (less or more regimented), each side addressing the other side and in turn construing and assessing what the other has to say in reply and formulating and communicating a response to the replies of the other side. And, obviously, they involve the expression, usually verbal, of theses and of reasons for them or against alternatives and criticisms.
• They have a telos or aim, although there seems to be no single end in mind for all of them or even for each of them. In a quarrel the goal might be to have one’s point of view prevail, to get one’s way, but it might instead (or in addition) be to humiliate the other person or to save one’s own self-respect. Some quarrels—think of the ongoing bickering between some long-married spouses—seem to be a way for two people to communicate, merely to acknowledge one another. In a debate, each side seeks to “win,” which can mean different things in different contexts ( cf. a collegiate debate vs. a debate between candidates in an election vs. a parliamentary debate). Some arguments seemed designed to convince the other to give up his position or accept the interlocutor’s position, or to get the other to act in some way or to adopt some policy. Some have the more modest goal of getting a new issue recognized for future deliberation and debate. Still others are clearly aimed not at changing anyone’s mind but at reinforcing or entrenching a point of view already held (as is usually the case with religious sermons or with political speeches to the party faithful). Some are intended to establish or to demonstrate the truth or reasonableness of some position or recommendation and (perhaps) also to get others to “see” that the truth has been established. Some seem designed to maintain disagreement, as when representatives of competing political parties argue with one another.
• All these various kinds of argument are more or less extended, both in the sense that they occur over time, sometimes long stretches of time, and also in the sense that they typically involved many steps: extensive and complex support for a point of view and critique of its alternatives.
• In nearly every case, the participants give reasons for the claims they make and they expect the other participants in the argument to give reasons for their claims. This is even a feature of quarrels, at least at the outset, although such arguments can deteriorate into name-calling and worse. (Notice that even the “yes you did; no I didn’t;…; did; didn’t” sequence of the Monty Python “Having an argument” skit breaks down and a reason is sought.)

The kinds of argument listed so far are all versions of having an argument (see Daniel J. O’Keefe, 1977, 1982). Some might think that this is not the sense of ‘argument’ that is pertinent to critical thinking instruction, but such arguments are the habitat of the kinds of argument that critical thinkers need to be able to identify, analyze and evaluate.

1.2 An argument a s something a person makes (or constructs, invents, borrows) consisting of purported reasons alleged to suggest, or support or prove a point and that is used for some purpose such as to persuade someone of some claim, to justify someone in maintaining the position claimed, or to test a claim .

When people have arguments—when they engage in one or another of the activities of arguing described above—one of the things they routinely do is present or allege or offer reasons in support of the claims that they advance, defend, challenge, dispute, question, or consider. That is, in having “arguments,” we typically make and use “arguments.” The latter obviously have to be arguments in different sense from the former. They are often called “reason-claim” complexes. If arguments that someone has had constitute a type of communication or communicative activity, arguments that someone has made or used are actual or potential contributions to such activities. Reason-claim complexes are typically made and used when engaged in an argument in the first sense, trying to convince someone of your point of view during a disagreement or dispute with them. Here is a list of some of the many definitions found in textbooks of ‘argument’ in this second sense.

“… here [the word ‘argument’] … is used in the … logical sense of giving reasons for or against some claim.” Understanding Arguments, Robert Fogelin and Walter Sinnott-Armstrong, 6th ed., p. 1. “Thus an argument is a discourse that contains at least two statements, one of which is asserted to be a reason for the other.” Monroe Beardsley, Practical Logic, p. 9. “An argument is a set of claims a person puts forward in an attempt to show that some further claim is rationally acceptable.” Trudy Govier. A Practical Study of Arguments, 5th ed., p. 3. An argument is “a set of clams some of which are presented as reasons for accepting some further claim.” Alec Fisher, Critical Thinking, An Introduction, p. 235. Argument: “A conclusion about an issue that is supported by reasons.” Sherry Diestler, Becoming a Critical Thinker, 4th ed., p. 403. “ Argument: An attempt to support a conclusion by giving reasons for it.” Robert Ennis, Critical Thinking, p. 396. “Argument – A form of thinking in which certain statements (reasons) are offered in support of another statement (conclusion).” John Chaffee, Thinking Critically, p. 415 “When we use the word argument in this book we mean a message which attempts to establish a statement as true or worthy of belief on the basis of other statements.” James B. Freeman, Thinking Logically, p. 20 “Argument. A sequence of propositions intended to establish the truth of one of the propositions.” Richard Feldman, Reason and Argument, p. 447. “Arguments consist of conclusions and reasons for them, called ‘premises’.” Wayne Grennan, Argument Evaluation, p. 5. Argument: “A set of claims, one of which, the conclusion is supported by [i.e., is supposed to provide a reason for] one or more of the other claims. Reason in the Balance, Sharon Bailin & Mark Battersby, p. 41.

These are not all compatible, and most of them define ‘argument’ using other terms—‘reasons’, ‘claims’, ‘propositions’, ‘statements’, ‘premises’ and ‘conclusions’—that are in no less need of definition than it is. In the next chapter, David Hitchcock offers a careful analysis of this concept of an argument.

Some define argument in this second sense as a kind of communication; others conceive it as a kind of set of propositions that can serve communicative functions, but others as well (such as inquiry). Either way, the communicative character, or function, of arguments has been the subject of much of the research in the past several decades. Most recently what some have called “multi-modal” argument has attracted attention, focusing on the various ways arguments can be communicated, especially visually or in a mix of verbal and visual modes of communication. Some have contended that smells and sounds can play roles in argument communication as well. This area of research interest would seem to have relevance for the analysis of arguments on the web.

1.3 Argumentation

‘Argumentation’ is another slippery term. It is used in several different senses.

Sometimes it is used to mean the communicative activity in which arguments are exchanged: “During their argumentation they took turns advancing their own arguments and criticizing one another’s arguments.” Sometimes ‘argumentation’ denotes the body of arguments used in an argumentative exchange: “The evening’s argumentation was of high quality.” And occasionally you will find it used to refer to the reasons or premises supporting a conclusion, as in: “The argumentation provided weak support for the thesis.” ‘Argumentation theory’ is the term often used to denote theory about the nature of arguments and their uses, including their uses in communications involving exchanges of arguments.

2 The relation between critical thinking and argument

2 .1 arguments are both tools of critical thinking and objects of critical thinking.

In … [one] sense, thought denotes belief resting upon some basis, that is, real or supposed knowledge going beyond what is directly present. … Some beliefs are accepted when their grounds have not themselves been considered …. … such thoughts may mean a supposition accepted without reference to its real grounds. These may be adequate, they may not; but their value with reference to the support they afford the belief has not been considered. Such thoughts grow up unconsciously and without reference to the attainment of correct belief. They are picked up—we know not how. From obscure sources and by unnoticed channels they insinuate themselves into acceptance and become unconsciously a part of our mental furniture. Tradition, instruction, imitation—all of which depend upon authority in some form, or appeal to our advantage, or fall in with strong passions—are responsible for them. Such thoughts are prejudices, that is, prejudgments, not judgments proper that rest upon a survey of evidence. (John Dewey, How We Think , pp. 4-5, emphasis added.)

People—all of us—routinely adopt beliefs and attitudes that are prejudices in Dewey’s sense of being prejudgments, “not judgments proper that rest upon a survey of evidence.” One goal of critical thinking education is to provide our students with the means to be able, when it really matters, to “properly survey” the grounds for beliefs and attitudes.

Arguments supply one such means. The grounds for beliefs and attitudes are often expressed, or expressible, as arguments for them. And the “proper survey” of these arguments is to test them by subjecting them to the critical scrutiny of counter-arguments.

Arguments also come into play when the issue is not what to believe about a contentious issue, but in order just to understand the competing positions. Not only are we not entitled to reject a claim to our belief if we cannot counter the arguments that support it; we are not in possession of an understanding of that claim if we cannot formulate the arguments that support it to the satisfaction of its proponents.

Furthermore, arguments can be used to investigate a candidate for belief by those trying “to make up their own minds” about it. The investigator tries to find and express the most compelling arguments for and against the candidate. Which arguments count as “most compelling” are the ones that survive vigorous attempts, using arguments, to refute or undermine them. These survivors are then compared against one another, the pros weighed against the cons. More arguments come into play in assessing the attributed weights.

In these ways, a facility with arguments serves a critical thinker well. Such a facility includes skill in recognizing, interpreting and evaluating arguments, as well as in formulating them. That includes skill in laying out complex arguments, in recognizing argument strengths and weaknesses, and in making a case for one’s critique. It includes the ability to distinguish the more relevant evidence from the less, and to discriminate between minor, fixable flaws and major, serious problems, in arguments. Thus the critical thinker is at once adept at using arguments in various ways and at the same time sensitive in judging arguments’ merits, applying the appropriate criteria.

Moreover, arguments in the sense of “reasons-claim” complexes surround us in our daily lives. Our “familiars”, as Gilbert (2014) has dubbed them—our family members, the friends we see regularly, shopkeepers and others whose services we patronize daily, our co-workers—engage us constantly in argumentative discussions in which they invoke arguments to try to get us to do things, to agree, to judge, to believe. The public sphere—the worlds of politics, commerce, entertainment, leisure activities, social media (see Jackson’s chapter)—is another domain in which arguments can be found, although (arguably) mere assertion predominates there. In the various roles we play as we go through life—child, parent, spouse or partner, student, worker, patient, subordinate or supervisor, citizen (voter, jurist, community member), observer or participant, etc.—we are invited with arguments to agree or disagree, approve or disapprove, seek or avoid. We see others arguing with one another and are invited to judge the merits of the cases they make. Some of these arguments are cogent and their conclusions merit our assent, but others are not and we should not be influenced by them. Yet others are suggestive and deserve further thought.

We can simply ignore many of these arguments, but others confront us and force us to decide whether or not to accept them. Often it is unclear whether someone has argued or done something else: just vented, perhaps, or explained rather than argued, or merely expressed an opinion without arguing for it, or was confused. So we initially might have to decide whether there is an argument that we need to deal with. When it is an argument, often in order to make up our minds about it we need first to get clear about exactly what the argument consists of. So even before we evaluate this argument we have to identify and analyze it. (These operations are discussed in Chapter 12.)

In the end we have to decide for ourselves whether the argument makes its case or falls short. Does the conclusion really follow from the premises? Is there enough evidence to justify the conclusion? Is it the right kind of evidence? Are there well-known objections or arguments against the conclusion that haven’t been acknowledged and need to be answered satisfactorily? Can they be answered? And are the premises themselves believable or otherwise acceptable? Are there other arguments, as good or better, that support the claim?

Critical thinking can (and should!) come into all of these decisions we need to make in the identification, the analysis and the assessment of arguments.

2 .2  Critical thinking about things other than arguments

Many critical thinking textbooks focus exclusively on the analysis and evaluation of arguments. While the centrality of arguments to the art of critical thinking is unquestionable, a strong case can be made that critical thinking has other objectives in addition to appreciating arguments. In their analysis of the concept of critical thinking, Fisher and Scriven suggest the following definition:

Critical thinking is skilled and active interpretation and evaluation of o b servations and communications , information and argumentation. (1997, p. 21, emphasis added)

We agree with the gist of this claim, but notice what Fisher and Scriven propose as the objects to which critical thinking applies. Not just argumentation, but as well observations, communications and information. About observations, they note that:

What one sees (hears, etc.) are usually things and happenings, and one often has to interpret what one sees, sometimes calling on critical thinking skills to do so, most obviously in cases where the context involves weak lighting, strong emotions, possible drug effects, or putatively magical or parapsychological phenomena. Only after the application of critical thinking—and sometimes not even then—does one know what one “really saw”. … When the filter of critical thinking has been applied to the observations, and only then, one can start reasoning towards further conclusions using these observations as premises. ( Ibid ., p, 37)

An example is the recent large number of convictions in the U.S.A. that originally relied on eyewitness testimony but that have been overturned on the basis of DNA evidence. [2] ,  [3]

The DNA evidence proved that the accused was not the culprit, so the moral certainty of the eyewitness had to have been mistaken. The observation of the eyewitness was flawed. He or she did not think critically about whether the conditions need ed to make a reliable o b servation were present (e.g., were strong emotions like fear involved? was the lighting good? has he or she ordinarily a good memory for faces? was there time to observe carefully? were there distractions present?). Neither, probably, did the lawyers on either side, or else they immorally suppressed what should have been their doubts. As a consequence, innocent people languished in jail for years and guilty parties went free.

Communications are another object for critical thought. When in reply to Harry’s question, “How are you doing?” Morgan says, in a clipped and dull voice and a strained expression on her face, “I’m fine”, Harry needs to be aware that “How are you doing?” often functions as equivalent to a simple greeting, like “Hi” and so the response “Fine” could similarly be functioning as a polite return of the greeting, like “Hi back to you”, and not as an accurate report of the speaker’s condition. Harry needs to notice and interpret other aspects of Morgan’s communication—her lethargic tone of voice and her anxious facial expression—and to recognize the incompatibility between those signals and the interpretation of her response as an accurate depiction of Morgan’s state of well-being. He needs to employ critical interpretive skills to realize that Morgan has communicated that she is not fine at all, but for some reason isn’t offering to talk about it.

If President Trump did in fact say to his then F.B.I. director James Comey, about the F.B.I. investigation of former National Security Advisor Michaell Flynn “I hope you can let this go”, was it legitimate for Comey to interpret the President’s comment as a directive? And was Comey’s response, which was simply to ignore President Trump’s alleged comment, an appropriate response? What was going on? It takes critical thinking to try to sort out these issues. Taking the President’s alleged comment literally, it just expresses his attitude towards the FBI investigation of Flynn. But communications from the President in a tête-à-tête in the White House with the Director of the FBI are not occasions for just sharing attitudes. This was not an occasion on which they could step out of their political roles and chat person-to-person. The President can legitimately be presumed to be communicating his wishes as to what his FBI Director should do, and such expressions of wishes are, in this context, to be normally understood as directives. On the other hand, for the President to direct that an ongoing investigation by the FBI be stopped, or that it come up with a pre-determined finding, is illegal: it’s obstruction of justice. So Comey seemed faced with at least two possible interpretations of what he took the President to be saying: either an out-of-place expression of his attitude towards the outcome of the Flynn investigation or an illegal directive. Which was the President’s intention? However, there are other possibilities.

Was President Trump a political tyro whose lack of political experience might have left him ignorant of the fact that the FBI Director has to keep investigations free of political interference? Or might Trump have thought that the Presidency conveys the authority to influence the outcome of criminal investigations? Or might President Trump have been testing Mr. Comey to see if he could be manipulated? And Mr. Comey could have responded differently. He could have said, “I wish we could let this go too, Mr. President, but there are questions about General Flynn’s conduct that have to be investigated, and as you know, we cannot interfere with an ongoing FBI investigation”. Such a response would have forced the President to take back what he allegedly said, withdrawing any suggestion that his comment was a directive, or else to make it plain that he was indeed directing Comey to obstruct justice. In the event, apparently Mr. Comey did not take this way out, which would at once have displayed loyalty to the President (by protecting him from explicitly obstructing justice) and also have affirmed the independence of the FBI from interference from the White House. Perhaps he thought that the President clearly had directed him to obstruct justice, and judged that giving him an opportunity explicitly to withdraw that directive amounted to overlooking that illegal act, which would be a violation of his responsibilities as Director of the FBI. If so, however, simply not responding to the President’s comment, the path Comey apparently chose, also amounted to turning a blind eye to what he judged to be President Trump’s illegal directive.

As these two examples illustrate, the interpretation of communications, and the appropriate response to them can require critical thinking: recognizing different functions of communication, and being sensitive to the implications of different contexts of communication; being sensitive to the roles communicators occupy and to the rights, obligations, and limits attached to such roles.

As Fisher and Scriven acknowledge, “defining information is itself a difficult task.” They make a useful start by distinguishing information from raw data (“the numbers or bare descriptions obtained from measurements or observations”, op . cit., p. 41). No critical thinking is required for the latter; just the pains necessary to record raw data accurately, In many cases, though, the interpretation of raw data, the meaning or significance that they are said to have, can require critical thinking.

One might go beyond Fisher and Scriven’s list of other things besides arguments to which critical thinking can be applied. A thoughtful appreciation of novels or movies, plays or poetry, paintings or sculptures requires skilled interpretation, imagining alternatives, thoughtful selection of appropriate criteria of evaluation and then the selection and application of appropriate standards, and more. A good interior designer must consider the effects and interactions of space and light and color and fabrics and furniture design, and coordinate these with clients’ lifestyles, habits and preferences. Advanced practical skills in various sciences come into play. A coach of a sports team must think about each individual team member’s skills and deficiencies, personality and life situation; about plays and strategies, opponents’ skills sets; approaches to games; and much more. Conventional approaches need to be reviewed as to their applicability to the current situation. Alternative possibilities need to be creatively imagined and critically assessed. And all of this is time-sensitive, sometimes calling for split-second decisions. The thinking involved in carrying out the tasks of composing a review of some work of literature or art or of coaching a sports team can be routine and conventional, or it can be imaginative, invoking different perspectives and challenging standard criteria.

The list could go on. The present point is that, while argument is central to critical thinking, critical thinking about and using arguments is not all there is to critical thinking. [4]

Bailin, Sharon & Battersby, Mark. (2010). Reason in the Balance , An I n quiry Approach to Critical Thinking , 1 st ed. Toronto: McGraw-Hill Ryerson.

Beardsley, Monroe C. (1950). Practical L ogic . Englewood Cliffs, NJ: Prentice-Hall.

Chaffee, John. 1985. Thinking Critically . Boston: Houghton Mifflin.

Dewey, John. (1910, 1991). How We Think . Lexington, MAD.C. Heath; Buffalo, NY: Prometheus Books.

Diestler, Sherry. (2005). Becoming a Critical Thinker , 4 th ed. Upper Saddle River, NJ: Pearson Education.

Ennis, Robert H. (1996). Critical Thinking . Upper Saddle River, NJ: Prentice-Hall.

Feldman, Richard. (1993). Reason and Argument , 2 nd ed. Upper Saddle River, NJ: Prentice-Hall.

Fisher, Alex.(2001). Critical Thinking, An Introduction . Cambridge: Cambridge University Press.

Fisher, Alec & Scriven, Michael. (1997). Critical Thinking, Its Definition and Assessment . Point

Reyes, CA: EdgePress; Norwich, UK: Center for Research in Critical Thinking.

Fogelin, Robert & Sinnott-Armstrong, Walter. (2001). Understanding A r guments , An Introduction to Informal Logic , 6 th ed. Belmont, CA: Wadsworth.

Freeman, James B. (1988.) Thinking Logically , Basic Concepts of Reaso n ing . Englewood Cliffs, NJ: Prentice-Hall.

Grennan, Wayne . (1984). Argument Evaluation . Lanham, MD: University Press of America.

Govier, Trudy. (2001). A Practical Study of Argument , 5 th ed. Belmont, CA: Wadsworth.

O’Keefe, Daniel J. (1977). Two concepts of argument. Journal of the Amer i can Forensic Association , 13 , 121-128.

O‘Keefe, Daniel J. (1982). The concepts of argument and arguing. In J. R. Cox & C. A. Willard (Eds.), Advances in Argumentation Theory and R e search , pp. 3-23. Carbondale, IL: Southern Illinois University Press.

• © J. Anthony Blair ↵
• According to the Innocence Project, “Eyewitness misidentification is the greatest contributing factor to wrongful convictions proven by DNA testing, playing a role in more than 70% of convictions [in the U.S.A.] overturned through DNA testing nationwide.” (https://www.innocenceproject.org/causes/eyewitness-misidentification/, viewed August 2017). ↵
• I owe the general organization and many of the specific ideas of this chapter to a series of lectures by Jean Goodwin at the Summer Institute on Argumentation sponsored by the Centre for Research in Reasoning, Argumentation and Rhetoric at the University of Windsor. ↵

Studies in Critical Thinking Copyright © by J. Anthony Blair is licensed under a Creative Commons Attribution 4.0 International License , except where otherwise noted.

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Critical Thinking

Critical thinking is a widely accepted educational goal. Its definition is contested, but the competing definitions can be understood as differing conceptions of the same basic concept: careful thinking directed to a goal. Conceptions differ with respect to the scope of such thinking, the type of goal, the criteria and norms for thinking carefully, and the thinking components on which they focus. Its adoption as an educational goal has been recommended on the basis of respect for students’ autonomy and preparing students for success in life and for democratic citizenship. “Critical thinkers” have the dispositions and abilities that lead them to think critically when appropriate. The abilities can be identified directly; the dispositions indirectly, by considering what factors contribute to or impede exercise of the abilities. Standardized tests have been developed to assess the degree to which a person possesses such dispositions and abilities. Educational intervention has been shown experimentally to improve them, particularly when it includes dialogue, anchored instruction, and mentoring. Controversies have arisen over the generalizability of critical thinking across domains, over alleged bias in critical thinking theories and instruction, and over the relationship of critical thinking to other types of thinking.

2.1 Dewey’s Three Main Examples

2.2 dewey’s other examples, 2.3 further examples, 2.4 non-examples, 3. the definition of critical thinking, 4. its value, 5. the process of thinking critically, 6. components of the process, 7. contributory dispositions and abilities, 8.1 initiating dispositions, 8.2 internal dispositions, 9. critical thinking abilities, 10. required knowledge, 11. educational methods, 12.1 the generalizability of critical thinking, 12.2 bias in critical thinking theory and pedagogy, 12.3 relationship of critical thinking to other types of thinking, other internet resources, related entries.

Use of the term ‘critical thinking’ to describe an educational goal goes back to the American philosopher John Dewey (1910), who more commonly called it ‘reflective thinking’. He defined it as

active, persistent and careful consideration of any belief or supposed form of knowledge in the light of the grounds that support it, and the further conclusions to which it tends. (Dewey 1910: 6; 1933: 9)

and identified a habit of such consideration with a scientific attitude of mind. His lengthy quotations of Francis Bacon, John Locke, and John Stuart Mill indicate that he was not the first person to propose development of a scientific attitude of mind as an educational goal.

In the 1930s, many of the schools that participated in the Eight-Year Study of the Progressive Education Association (Aikin 1942) adopted critical thinking as an educational goal, for whose achievement the study’s Evaluation Staff developed tests (Smith, Tyler, & Evaluation Staff 1942). Glaser (1941) showed experimentally that it was possible to improve the critical thinking of high school students. Bloom’s influential taxonomy of cognitive educational objectives (Bloom et al. 1956) incorporated critical thinking abilities. Ennis (1962) proposed 12 aspects of critical thinking as a basis for research on the teaching and evaluation of critical thinking ability.

Since 1980, an annual international conference in California on critical thinking and educational reform has attracted tens of thousands of educators from all levels of education and from many parts of the world. Also since 1980, the state university system in California has required all undergraduate students to take a critical thinking course. Since 1983, the Association for Informal Logic and Critical Thinking has sponsored sessions in conjunction with the divisional meetings of the American Philosophical Association (APA). In 1987, the APA’s Committee on Pre-College Philosophy commissioned a consensus statement on critical thinking for purposes of educational assessment and instruction (Facione 1990a). Researchers have developed standardized tests of critical thinking abilities and dispositions; for details, see the Supplement on Assessment . Educational jurisdictions around the world now include critical thinking in guidelines for curriculum and assessment.

For details on this history, see the Supplement on History .

2. Examples and Non-Examples

Before considering the definition of critical thinking, it will be helpful to have in mind some examples of critical thinking, as well as some examples of kinds of thinking that would apparently not count as critical thinking.

Dewey (1910: 68–71; 1933: 91–94) takes as paradigms of reflective thinking three class papers of students in which they describe their thinking. The examples range from the everyday to the scientific.

Transit : “The other day, when I was down town on 16th Street, a clock caught my eye. I saw that the hands pointed to 12:20. This suggested that I had an engagement at 124th Street, at one o’clock. I reasoned that as it had taken me an hour to come down on a surface car, I should probably be twenty minutes late if I returned the same way. I might save twenty minutes by a subway express. But was there a station near? If not, I might lose more than twenty minutes in looking for one. Then I thought of the elevated, and I saw there was such a line within two blocks. But where was the station? If it were several blocks above or below the street I was on, I should lose time instead of gaining it. My mind went back to the subway express as quicker than the elevated; furthermore, I remembered that it went nearer than the elevated to the part of 124th Street I wished to reach, so that time would be saved at the end of the journey. I concluded in favor of the subway, and reached my destination by one o’clock.” (Dewey 1910: 68–69; 1933: 91–92)

Ferryboat : “Projecting nearly horizontally from the upper deck of the ferryboat on which I daily cross the river is a long white pole, having a gilded ball at its tip. It suggested a flagpole when I first saw it; its color, shape, and gilded ball agreed with this idea, and these reasons seemed to justify me in this belief. But soon difficulties presented themselves. The pole was nearly horizontal, an unusual position for a flagpole; in the next place, there was no pulley, ring, or cord by which to attach a flag; finally, there were elsewhere on the boat two vertical staffs from which flags were occasionally flown. It seemed probable that the pole was not there for flag-flying.

“I then tried to imagine all possible purposes of the pole, and to consider for which of these it was best suited: (a) Possibly it was an ornament. But as all the ferryboats and even the tugboats carried poles, this hypothesis was rejected. (b) Possibly it was the terminal of a wireless telegraph. But the same considerations made this improbable. Besides, the more natural place for such a terminal would be the highest part of the boat, on top of the pilot house. (c) Its purpose might be to point out the direction in which the boat is moving.

“In support of this conclusion, I discovered that the pole was lower than the pilot house, so that the steersman could easily see it. Moreover, the tip was enough higher than the base, so that, from the pilot’s position, it must appear to project far out in front of the boat. Moreover, the pilot being near the front of the boat, he would need some such guide as to its direction. Tugboats would also need poles for such a purpose. This hypothesis was so much more probable than the others that I accepted it. I formed the conclusion that the pole was set up for the purpose of showing the pilot the direction in which the boat pointed, to enable him to steer correctly.” (Dewey 1910: 69–70; 1933: 92–93)

Bubbles : “In washing tumblers in hot soapsuds and placing them mouth downward on a plate, bubbles appeared on the outside of the mouth of the tumblers and then went inside. Why? The presence of bubbles suggests air, which I note must come from inside the tumbler. I see that the soapy water on the plate prevents escape of the air save as it may be caught in bubbles. But why should air leave the tumbler? There was no substance entering to force it out. It must have expanded. It expands by increase of heat, or by decrease of pressure, or both. Could the air have become heated after the tumbler was taken from the hot suds? Clearly not the air that was already entangled in the water. If heated air was the cause, cold air must have entered in transferring the tumblers from the suds to the plate. I test to see if this supposition is true by taking several more tumblers out. Some I shake so as to make sure of entrapping cold air in them. Some I take out holding mouth downward in order to prevent cold air from entering. Bubbles appear on the outside of every one of the former and on none of the latter. I must be right in my inference. Air from the outside must have been expanded by the heat of the tumbler, which explains the appearance of the bubbles on the outside. But why do they then go inside? Cold contracts. The tumbler cooled and also the air inside it. Tension was removed, and hence bubbles appeared inside. To be sure of this, I test by placing a cup of ice on the tumbler while the bubbles are still forming outside. They soon reverse” (Dewey 1910: 70–71; 1933: 93–94).

Dewey (1910, 1933) sprinkles his book with other examples of critical thinking. We will refer to the following.

Weather : A man on a walk notices that it has suddenly become cool, thinks that it is probably going to rain, looks up and sees a dark cloud obscuring the sun, and quickens his steps (1910: 6–10; 1933: 9–13).

Disorder : A man finds his rooms on his return to them in disorder with his belongings thrown about, thinks at first of burglary as an explanation, then thinks of mischievous children as being an alternative explanation, then looks to see whether valuables are missing, and discovers that they are (1910: 82–83; 1933: 166–168).

Typhoid : A physician diagnosing a patient whose conspicuous symptoms suggest typhoid avoids drawing a conclusion until more data are gathered by questioning the patient and by making tests (1910: 85–86; 1933: 170).

Blur : A moving blur catches our eye in the distance, we ask ourselves whether it is a cloud of whirling dust or a tree moving its branches or a man signaling to us, we think of other traits that should be found on each of those possibilities, and we look and see if those traits are found (1910: 102, 108; 1933: 121, 133).

Suction pump : In thinking about the suction pump, the scientist first notes that it will draw water only to a maximum height of 33 feet at sea level and to a lesser maximum height at higher elevations, selects for attention the differing atmospheric pressure at these elevations, sets up experiments in which the air is removed from a vessel containing water (when suction no longer works) and in which the weight of air at various levels is calculated, compares the results of reasoning about the height to which a given weight of air will allow a suction pump to raise water with the observed maximum height at different elevations, and finally assimilates the suction pump to such apparently different phenomena as the siphon and the rising of a balloon (1910: 150–153; 1933: 195–198).

Diamond : A passenger in a car driving in a diamond lane reserved for vehicles with at least one passenger notices that the diamond marks on the pavement are far apart in some places and close together in others. Why? The driver suggests that the reason may be that the diamond marks are not needed where there is a solid double line separating the diamond lane from the adjoining lane, but are needed when there is a dotted single line permitting crossing into the diamond lane. Further observation confirms that the diamonds are close together when a dotted line separates the diamond lane from its neighbour, but otherwise far apart.

Rash : A woman suddenly develops a very itchy red rash on her throat and upper chest. She recently noticed a mark on the back of her right hand, but was not sure whether the mark was a rash or a scrape. She lies down in bed and thinks about what might be causing the rash and what to do about it. About two weeks before, she began taking blood pressure medication that contained a sulfa drug, and the pharmacist had warned her, in view of a previous allergic reaction to a medication containing a sulfa drug, to be on the alert for an allergic reaction; however, she had been taking the medication for two weeks with no such effect. The day before, she began using a new cream on her neck and upper chest; against the new cream as the cause was mark on the back of her hand, which had not been exposed to the cream. She began taking probiotics about a month before. She also recently started new eye drops, but she supposed that manufacturers of eye drops would be careful not to include allergy-causing components in the medication. The rash might be a heat rash, since she recently was sweating profusely from her upper body. Since she is about to go away on a short vacation, where she would not have access to her usual physician, she decides to keep taking the probiotics and using the new eye drops but to discontinue the blood pressure medication and to switch back to the old cream for her neck and upper chest. She forms a plan to consult her regular physician on her return about the blood pressure medication.

Candidate : Although Dewey included no examples of thinking directed at appraising the arguments of others, such thinking has come to be considered a kind of critical thinking. We find an example of such thinking in the performance task on the Collegiate Learning Assessment (CLA+), which its sponsoring organization describes as

a performance-based assessment that provides a measure of an institution’s contribution to the development of critical-thinking and written communication skills of its students. (Council for Aid to Education 2017)

A sample task posted on its website requires the test-taker to write a report for public distribution evaluating a fictional candidate’s policy proposals and their supporting arguments, using supplied background documents, with a recommendation on whether to endorse the candidate.

Immediate acceptance of an idea that suggests itself as a solution to a problem (e.g., a possible explanation of an event or phenomenon, an action that seems likely to produce a desired result) is “uncritical thinking, the minimum of reflection” (Dewey 1910: 13). On-going suspension of judgment in the light of doubt about a possible solution is not critical thinking (Dewey 1910: 108). Critique driven by a dogmatically held political or religious ideology is not critical thinking; thus Paulo Freire (1968 [1970]) is using the term (e.g., at 1970: 71, 81, 100, 146) in a more politically freighted sense that includes not only reflection but also revolutionary action against oppression. Derivation of a conclusion from given data using an algorithm is not critical thinking.

What is critical thinking? There are many definitions. Ennis (2016) lists 14 philosophically oriented scholarly definitions and three dictionary definitions. Following Rawls (1971), who distinguished his conception of justice from a utilitarian conception but regarded them as rival conceptions of the same concept, Ennis maintains that the 17 definitions are different conceptions of the same concept. Rawls articulated the shared concept of justice as

a characteristic set of principles for assigning basic rights and duties and for determining… the proper distribution of the benefits and burdens of social cooperation. (Rawls 1971: 5)

Bailin et al. (1999b) claim that, if one considers what sorts of thinking an educator would take not to be critical thinking and what sorts to be critical thinking, one can conclude that educators typically understand critical thinking to have at least three features.

• It is done for the purpose of making up one’s mind about what to believe or do.
• The person engaging in the thinking is trying to fulfill standards of adequacy and accuracy appropriate to the thinking.
• The thinking fulfills the relevant standards to some threshold level.

One could sum up the core concept that involves these three features by saying that critical thinking is careful goal-directed thinking. This core concept seems to apply to all the examples of critical thinking described in the previous section. As for the non-examples, their exclusion depends on construing careful thinking as excluding jumping immediately to conclusions, suspending judgment no matter how strong the evidence, reasoning from an unquestioned ideological or religious perspective, and routinely using an algorithm to answer a question.

If the core of critical thinking is careful goal-directed thinking, conceptions of it can vary according to its presumed scope, its presumed goal, one’s criteria and threshold for being careful, and the thinking component on which one focuses. As to its scope, some conceptions (e.g., Dewey 1910, 1933) restrict it to constructive thinking on the basis of one’s own observations and experiments, others (e.g., Ennis 1962; Fisher & Scriven 1997; Johnson 1992) to appraisal of the products of such thinking. Ennis (1991) and Bailin et al. (1999b) take it to cover both construction and appraisal. As to its goal, some conceptions restrict it to forming a judgment (Dewey 1910, 1933; Lipman 1987; Facione 1990a). Others allow for actions as well as beliefs as the end point of a process of critical thinking (Ennis 1991; Bailin et al. 1999b). As to the criteria and threshold for being careful, definitions vary in the term used to indicate that critical thinking satisfies certain norms: “intellectually disciplined” (Scriven & Paul 1987), “reasonable” (Ennis 1991), “skillful” (Lipman 1987), “skilled” (Fisher & Scriven 1997), “careful” (Bailin & Battersby 2009). Some definitions specify these norms, referring variously to “consideration of any belief or supposed form of knowledge in the light of the grounds that support it and the further conclusions to which it tends” (Dewey 1910, 1933); “the methods of logical inquiry and reasoning” (Glaser 1941); “conceptualizing, applying, analyzing, synthesizing, and/or evaluating information gathered from, or generated by, observation, experience, reflection, reasoning, or communication” (Scriven & Paul 1987); the requirement that “it is sensitive to context, relies on criteria, and is self-correcting” (Lipman 1987); “evidential, conceptual, methodological, criteriological, or contextual considerations” (Facione 1990a); and “plus-minus considerations of the product in terms of appropriate standards (or criteria)” (Johnson 1992). Stanovich and Stanovich (2010) propose to ground the concept of critical thinking in the concept of rationality, which they understand as combining epistemic rationality (fitting one’s beliefs to the world) and instrumental rationality (optimizing goal fulfillment); a critical thinker, in their view, is someone with “a propensity to override suboptimal responses from the autonomous mind” (2010: 227). These variant specifications of norms for critical thinking are not necessarily incompatible with one another, and in any case presuppose the core notion of thinking carefully. As to the thinking component singled out, some definitions focus on suspension of judgment during the thinking (Dewey 1910; McPeck 1981), others on inquiry while judgment is suspended (Bailin & Battersby 2009, 2021), others on the resulting judgment (Facione 1990a), and still others on responsiveness to reasons (Siegel 1988). Kuhn (2019) takes critical thinking to be more a dialogic practice of advancing and responding to arguments than an individual ability.

In educational contexts, a definition of critical thinking is a “programmatic definition” (Scheffler 1960: 19). It expresses a practical program for achieving an educational goal. For this purpose, a one-sentence formulaic definition is much less useful than articulation of a critical thinking process, with criteria and standards for the kinds of thinking that the process may involve. The real educational goal is recognition, adoption and implementation by students of those criteria and standards. That adoption and implementation in turn consists in acquiring the knowledge, abilities and dispositions of a critical thinker.

Conceptions of critical thinking generally do not include moral integrity as part of the concept. Dewey, for example, took critical thinking to be the ultimate intellectual goal of education, but distinguished it from the development of social cooperation among school children, which he took to be the central moral goal. Ennis (1996, 2011) added to his previous list of critical thinking dispositions a group of dispositions to care about the dignity and worth of every person, which he described as a “correlative” (1996) disposition without which critical thinking would be less valuable and perhaps harmful. An educational program that aimed at developing critical thinking but not the correlative disposition to care about the dignity and worth of every person, he asserted, “would be deficient and perhaps dangerous” (Ennis 1996: 172).

Dewey thought that education for reflective thinking would be of value to both the individual and society; recognition in educational practice of the kinship to the scientific attitude of children’s native curiosity, fertile imagination and love of experimental inquiry “would make for individual happiness and the reduction of social waste” (Dewey 1910: iii). Schools participating in the Eight-Year Study took development of the habit of reflective thinking and skill in solving problems as a means to leading young people to understand, appreciate and live the democratic way of life characteristic of the United States (Aikin 1942: 17–18, 81). Harvey Siegel (1988: 55–61) has offered four considerations in support of adopting critical thinking as an educational ideal. (1) Respect for persons requires that schools and teachers honour students’ demands for reasons and explanations, deal with students honestly, and recognize the need to confront students’ independent judgment; these requirements concern the manner in which teachers treat students. (2) Education has the task of preparing children to be successful adults, a task that requires development of their self-sufficiency. (3) Education should initiate children into the rational traditions in such fields as history, science and mathematics. (4) Education should prepare children to become democratic citizens, which requires reasoned procedures and critical talents and attitudes. To supplement these considerations, Siegel (1988: 62–90) responds to two objections: the ideology objection that adoption of any educational ideal requires a prior ideological commitment and the indoctrination objection that cultivation of critical thinking cannot escape being a form of indoctrination.

Despite the diversity of our 11 examples, one can recognize a common pattern. Dewey analyzed it as consisting of five phases:

• suggestions , in which the mind leaps forward to a possible solution;
• an intellectualization of the difficulty or perplexity into a problem to be solved, a question for which the answer must be sought;
• the use of one suggestion after another as a leading idea, or hypothesis , to initiate and guide observation and other operations in collection of factual material;
• the mental elaboration of the idea or supposition as an idea or supposition ( reasoning , in the sense on which reasoning is a part, not the whole, of inference); and
• testing the hypothesis by overt or imaginative action. (Dewey 1933: 106–107; italics in original)

The process of reflective thinking consisting of these phases would be preceded by a perplexed, troubled or confused situation and followed by a cleared-up, unified, resolved situation (Dewey 1933: 106). The term ‘phases’ replaced the term ‘steps’ (Dewey 1910: 72), thus removing the earlier suggestion of an invariant sequence. Variants of the above analysis appeared in (Dewey 1916: 177) and (Dewey 1938: 101–119).

The variant formulations indicate the difficulty of giving a single logical analysis of such a varied process. The process of critical thinking may have a spiral pattern, with the problem being redefined in the light of obstacles to solving it as originally formulated. For example, the person in Transit might have concluded that getting to the appointment at the scheduled time was impossible and have reformulated the problem as that of rescheduling the appointment for a mutually convenient time. Further, defining a problem does not always follow after or lead immediately to an idea of a suggested solution. Nor should it do so, as Dewey himself recognized in describing the physician in Typhoid as avoiding any strong preference for this or that conclusion before getting further information (Dewey 1910: 85; 1933: 170). People with a hypothesis in mind, even one to which they have a very weak commitment, have a so-called “confirmation bias” (Nickerson 1998): they are likely to pay attention to evidence that confirms the hypothesis and to ignore evidence that counts against it or for some competing hypothesis. Detectives, intelligence agencies, and investigators of airplane accidents are well advised to gather relevant evidence systematically and to postpone even tentative adoption of an explanatory hypothesis until the collected evidence rules out with the appropriate degree of certainty all but one explanation. Dewey’s analysis of the critical thinking process can be faulted as well for requiring acceptance or rejection of a possible solution to a defined problem, with no allowance for deciding in the light of the available evidence to suspend judgment. Further, given the great variety of kinds of problems for which reflection is appropriate, there is likely to be variation in its component events. Perhaps the best way to conceptualize the critical thinking process is as a checklist whose component events can occur in a variety of orders, selectively, and more than once. These component events might include (1) noticing a difficulty, (2) defining the problem, (3) dividing the problem into manageable sub-problems, (4) formulating a variety of possible solutions to the problem or sub-problem, (5) determining what evidence is relevant to deciding among possible solutions to the problem or sub-problem, (6) devising a plan of systematic observation or experiment that will uncover the relevant evidence, (7) carrying out the plan of systematic observation or experimentation, (8) noting the results of the systematic observation or experiment, (9) gathering relevant testimony and information from others, (10) judging the credibility of testimony and information gathered from others, (11) drawing conclusions from gathered evidence and accepted testimony, and (12) accepting a solution that the evidence adequately supports (cf. Hitchcock 2017: 485).

Checklist conceptions of the process of critical thinking are open to the objection that they are too mechanical and procedural to fit the multi-dimensional and emotionally charged issues for which critical thinking is urgently needed (Paul 1984). For such issues, a more dialectical process is advocated, in which competing relevant world views are identified, their implications explored, and some sort of creative synthesis attempted.

If one considers the critical thinking process illustrated by the 11 examples, one can identify distinct kinds of mental acts and mental states that form part of it. To distinguish, label and briefly characterize these components is a useful preliminary to identifying abilities, skills, dispositions, attitudes, habits and the like that contribute causally to thinking critically. Identifying such abilities and habits is in turn a useful preliminary to setting educational goals. Setting the goals is in its turn a useful preliminary to designing strategies for helping learners to achieve the goals and to designing ways of measuring the extent to which learners have done so. Such measures provide both feedback to learners on their achievement and a basis for experimental research on the effectiveness of various strategies for educating people to think critically. Let us begin, then, by distinguishing the kinds of mental acts and mental events that can occur in a critical thinking process.

• Observing : One notices something in one’s immediate environment (sudden cooling of temperature in Weather , bubbles forming outside a glass and then going inside in Bubbles , a moving blur in the distance in Blur , a rash in Rash ). Or one notes the results of an experiment or systematic observation (valuables missing in Disorder , no suction without air pressure in Suction pump )
• Feeling : One feels puzzled or uncertain about something (how to get to an appointment on time in Transit , why the diamonds vary in spacing in Diamond ). One wants to resolve this perplexity. One feels satisfaction once one has worked out an answer (to take the subway express in Transit , diamonds closer when needed as a warning in Diamond ).
• Wondering : One formulates a question to be addressed (why bubbles form outside a tumbler taken from hot water in Bubbles , how suction pumps work in Suction pump , what caused the rash in Rash ).
• Imagining : One thinks of possible answers (bus or subway or elevated in Transit , flagpole or ornament or wireless communication aid or direction indicator in Ferryboat , allergic reaction or heat rash in Rash ).
• Inferring : One works out what would be the case if a possible answer were assumed (valuables missing if there has been a burglary in Disorder , earlier start to the rash if it is an allergic reaction to a sulfa drug in Rash ). Or one draws a conclusion once sufficient relevant evidence is gathered (take the subway in Transit , burglary in Disorder , discontinue blood pressure medication and new cream in Rash ).
• Knowledge : One uses stored knowledge of the subject-matter to generate possible answers or to infer what would be expected on the assumption of a particular answer (knowledge of a city’s public transit system in Transit , of the requirements for a flagpole in Ferryboat , of Boyle’s law in Bubbles , of allergic reactions in Rash ).
• Experimenting : One designs and carries out an experiment or a systematic observation to find out whether the results deduced from a possible answer will occur (looking at the location of the flagpole in relation to the pilot’s position in Ferryboat , putting an ice cube on top of a tumbler taken from hot water in Bubbles , measuring the height to which a suction pump will draw water at different elevations in Suction pump , noticing the spacing of diamonds when movement to or from a diamond lane is allowed in Diamond ).
• Consulting : One finds a source of information, gets the information from the source, and makes a judgment on whether to accept it. None of our 11 examples include searching for sources of information. In this respect they are unrepresentative, since most people nowadays have almost instant access to information relevant to answering any question, including many of those illustrated by the examples. However, Candidate includes the activities of extracting information from sources and evaluating its credibility.
• Identifying and analyzing arguments : One notices an argument and works out its structure and content as a preliminary to evaluating its strength. This activity is central to Candidate . It is an important part of a critical thinking process in which one surveys arguments for various positions on an issue.
• Judging : One makes a judgment on the basis of accumulated evidence and reasoning, such as the judgment in Ferryboat that the purpose of the pole is to provide direction to the pilot.
• Deciding : One makes a decision on what to do or on what policy to adopt, as in the decision in Transit to take the subway.

By definition, a person who does something voluntarily is both willing and able to do that thing at that time. Both the willingness and the ability contribute causally to the person’s action, in the sense that the voluntary action would not occur if either (or both) of these were lacking. For example, suppose that one is standing with one’s arms at one’s sides and one voluntarily lifts one’s right arm to an extended horizontal position. One would not do so if one were unable to lift one’s arm, if for example one’s right side was paralyzed as the result of a stroke. Nor would one do so if one were unwilling to lift one’s arm, if for example one were participating in a street demonstration at which a white supremacist was urging the crowd to lift their right arm in a Nazi salute and one were unwilling to express support in this way for the racist Nazi ideology. The same analysis applies to a voluntary mental process of thinking critically. It requires both willingness and ability to think critically, including willingness and ability to perform each of the mental acts that compose the process and to coordinate those acts in a sequence that is directed at resolving the initiating perplexity.

Consider willingness first. We can identify causal contributors to willingness to think critically by considering factors that would cause a person who was able to think critically about an issue nevertheless not to do so (Hamby 2014). For each factor, the opposite condition thus contributes causally to willingness to think critically on a particular occasion. For example, people who habitually jump to conclusions without considering alternatives will not think critically about issues that arise, even if they have the required abilities. The contrary condition of willingness to suspend judgment is thus a causal contributor to thinking critically.

Now consider ability. In contrast to the ability to move one’s arm, which can be completely absent because a stroke has left the arm paralyzed, the ability to think critically is a developed ability, whose absence is not a complete absence of ability to think but absence of ability to think well. We can identify the ability to think well directly, in terms of the norms and standards for good thinking. In general, to be able do well the thinking activities that can be components of a critical thinking process, one needs to know the concepts and principles that characterize their good performance, to recognize in particular cases that the concepts and principles apply, and to apply them. The knowledge, recognition and application may be procedural rather than declarative. It may be domain-specific rather than widely applicable, and in either case may need subject-matter knowledge, sometimes of a deep kind.

Reflections of the sort illustrated by the previous two paragraphs have led scholars to identify the knowledge, abilities and dispositions of a “critical thinker”, i.e., someone who thinks critically whenever it is appropriate to do so. We turn now to these three types of causal contributors to thinking critically. We start with dispositions, since arguably these are the most powerful contributors to being a critical thinker, can be fostered at an early stage of a child’s development, and are susceptible to general improvement (Glaser 1941: 175)

8. Critical Thinking Dispositions

Educational researchers use the term ‘dispositions’ broadly for the habits of mind and attitudes that contribute causally to being a critical thinker. Some writers (e.g., Paul & Elder 2006; Hamby 2014; Bailin & Battersby 2016a) propose to use the term ‘virtues’ for this dimension of a critical thinker. The virtues in question, although they are virtues of character, concern the person’s ways of thinking rather than the person’s ways of behaving towards others. They are not moral virtues but intellectual virtues, of the sort articulated by Zagzebski (1996) and discussed by Turri, Alfano, and Greco (2017).

On a realistic conception, thinking dispositions or intellectual virtues are real properties of thinkers. They are general tendencies, propensities, or inclinations to think in particular ways in particular circumstances, and can be genuinely explanatory (Siegel 1999). Sceptics argue that there is no evidence for a specific mental basis for the habits of mind that contribute to thinking critically, and that it is pedagogically misleading to posit such a basis (Bailin et al. 1999a). Whatever their status, critical thinking dispositions need motivation for their initial formation in a child—motivation that may be external or internal. As children develop, the force of habit will gradually become important in sustaining the disposition (Nieto & Valenzuela 2012). Mere force of habit, however, is unlikely to sustain critical thinking dispositions. Critical thinkers must value and enjoy using their knowledge and abilities to think things through for themselves. They must be committed to, and lovers of, inquiry.

A person may have a critical thinking disposition with respect to only some kinds of issues. For example, one could be open-minded about scientific issues but not about religious issues. Similarly, one could be confident in one’s ability to reason about the theological implications of the existence of evil in the world but not in one’s ability to reason about the best design for a guided ballistic missile.

Facione (1990a: 25) divides “affective dispositions” of critical thinking into approaches to life and living in general and approaches to specific issues, questions or problems. Adapting this distinction, one can usefully divide critical thinking dispositions into initiating dispositions (those that contribute causally to starting to think critically about an issue) and internal dispositions (those that contribute causally to doing a good job of thinking critically once one has started). The two categories are not mutually exclusive. For example, open-mindedness, in the sense of willingness to consider alternative points of view to one’s own, is both an initiating and an internal disposition.

Using the strategy of considering factors that would block people with the ability to think critically from doing so, we can identify as initiating dispositions for thinking critically attentiveness, a habit of inquiry, self-confidence, courage, open-mindedness, willingness to suspend judgment, trust in reason, wanting evidence for one’s beliefs, and seeking the truth. We consider briefly what each of these dispositions amounts to, in each case citing sources that acknowledge them.

• Attentiveness : One will not think critically if one fails to recognize an issue that needs to be thought through. For example, the pedestrian in Weather would not have looked up if he had not noticed that the air was suddenly cooler. To be a critical thinker, then, one needs to be habitually attentive to one’s surroundings, noticing not only what one senses but also sources of perplexity in messages received and in one’s own beliefs and attitudes (Facione 1990a: 25; Facione, Facione, & Giancarlo 2001).
• Habit of inquiry : Inquiry is effortful, and one needs an internal push to engage in it. For example, the student in Bubbles could easily have stopped at idle wondering about the cause of the bubbles rather than reasoning to a hypothesis, then designing and executing an experiment to test it. Thus willingness to think critically needs mental energy and initiative. What can supply that energy? Love of inquiry, or perhaps just a habit of inquiry. Hamby (2015) has argued that willingness to inquire is the central critical thinking virtue, one that encompasses all the others. It is recognized as a critical thinking disposition by Dewey (1910: 29; 1933: 35), Glaser (1941: 5), Ennis (1987: 12; 1991: 8), Facione (1990a: 25), Bailin et al. (1999b: 294), Halpern (1998: 452), and Facione, Facione, & Giancarlo (2001).
• Self-confidence : Lack of confidence in one’s abilities can block critical thinking. For example, if the woman in Rash lacked confidence in her ability to figure things out for herself, she might just have assumed that the rash on her chest was the allergic reaction to her medication against which the pharmacist had warned her. Thus willingness to think critically requires confidence in one’s ability to inquire (Facione 1990a: 25; Facione, Facione, & Giancarlo 2001).
• Courage : Fear of thinking for oneself can stop one from doing it. Thus willingness to think critically requires intellectual courage (Paul & Elder 2006: 16).
• Open-mindedness : A dogmatic attitude will impede thinking critically. For example, a person who adheres rigidly to a “pro-choice” position on the issue of the legal status of induced abortion is likely to be unwilling to consider seriously the issue of when in its development an unborn child acquires a moral right to life. Thus willingness to think critically requires open-mindedness, in the sense of a willingness to examine questions to which one already accepts an answer but which further evidence or reasoning might cause one to answer differently (Dewey 1933; Facione 1990a; Ennis 1991; Bailin et al. 1999b; Halpern 1998, Facione, Facione, & Giancarlo 2001). Paul (1981) emphasizes open-mindedness about alternative world-views, and recommends a dialectical approach to integrating such views as central to what he calls “strong sense” critical thinking. In three studies, Haran, Ritov, & Mellers (2013) found that actively open-minded thinking, including “the tendency to weigh new evidence against a favored belief, to spend sufficient time on a problem before giving up, and to consider carefully the opinions of others in forming one’s own”, led study participants to acquire information and thus to make accurate estimations.
• Willingness to suspend judgment : Premature closure on an initial solution will block critical thinking. Thus willingness to think critically requires a willingness to suspend judgment while alternatives are explored (Facione 1990a; Ennis 1991; Halpern 1998).
• Trust in reason : Since distrust in the processes of reasoned inquiry will dissuade one from engaging in it, trust in them is an initiating critical thinking disposition (Facione 1990a, 25; Bailin et al. 1999b: 294; Facione, Facione, & Giancarlo 2001; Paul & Elder 2006). In reaction to an allegedly exclusive emphasis on reason in critical thinking theory and pedagogy, Thayer-Bacon (2000) argues that intuition, imagination, and emotion have important roles to play in an adequate conception of critical thinking that she calls “constructive thinking”. From her point of view, critical thinking requires trust not only in reason but also in intuition, imagination, and emotion.
• Seeking the truth : If one does not care about the truth but is content to stick with one’s initial bias on an issue, then one will not think critically about it. Seeking the truth is thus an initiating critical thinking disposition (Bailin et al. 1999b: 294; Facione, Facione, & Giancarlo 2001). A disposition to seek the truth is implicit in more specific critical thinking dispositions, such as trying to be well-informed, considering seriously points of view other than one’s own, looking for alternatives, suspending judgment when the evidence is insufficient, and adopting a position when the evidence supporting it is sufficient.

Some of the initiating dispositions, such as open-mindedness and willingness to suspend judgment, are also internal critical thinking dispositions, in the sense of mental habits or attitudes that contribute causally to doing a good job of critical thinking once one starts the process. But there are many other internal critical thinking dispositions. Some of them are parasitic on one’s conception of good thinking. For example, it is constitutive of good thinking about an issue to formulate the issue clearly and to maintain focus on it. For this purpose, one needs not only the corresponding ability but also the corresponding disposition. Ennis (1991: 8) describes it as the disposition “to determine and maintain focus on the conclusion or question”, Facione (1990a: 25) as “clarity in stating the question or concern”. Other internal dispositions are motivators to continue or adjust the critical thinking process, such as willingness to persist in a complex task and willingness to abandon nonproductive strategies in an attempt to self-correct (Halpern 1998: 452). For a list of identified internal critical thinking dispositions, see the Supplement on Internal Critical Thinking Dispositions .

Some theorists postulate skills, i.e., acquired abilities, as operative in critical thinking. It is not obvious, however, that a good mental act is the exercise of a generic acquired skill. Inferring an expected time of arrival, as in Transit , has some generic components but also uses non-generic subject-matter knowledge. Bailin et al. (1999a) argue against viewing critical thinking skills as generic and discrete, on the ground that skilled performance at a critical thinking task cannot be separated from knowledge of concepts and from domain-specific principles of good thinking. Talk of skills, they concede, is unproblematic if it means merely that a person with critical thinking skills is capable of intelligent performance.

Despite such scepticism, theorists of critical thinking have listed as general contributors to critical thinking what they variously call abilities (Glaser 1941; Ennis 1962, 1991), skills (Facione 1990a; Halpern 1998) or competencies (Fisher & Scriven 1997). Amalgamating these lists would produce a confusing and chaotic cornucopia of more than 50 possible educational objectives, with only partial overlap among them. It makes sense instead to try to understand the reasons for the multiplicity and diversity, and to make a selection according to one’s own reasons for singling out abilities to be developed in a critical thinking curriculum. Two reasons for diversity among lists of critical thinking abilities are the underlying conception of critical thinking and the envisaged educational level. Appraisal-only conceptions, for example, involve a different suite of abilities than constructive-only conceptions. Some lists, such as those in (Glaser 1941), are put forward as educational objectives for secondary school students, whereas others are proposed as objectives for college students (e.g., Facione 1990a).

The abilities described in the remaining paragraphs of this section emerge from reflection on the general abilities needed to do well the thinking activities identified in section 6 as components of the critical thinking process described in section 5 . The derivation of each collection of abilities is accompanied by citation of sources that list such abilities and of standardized tests that claim to test them.

Observational abilities : Careful and accurate observation sometimes requires specialist expertise and practice, as in the case of observing birds and observing accident scenes. However, there are general abilities of noticing what one’s senses are picking up from one’s environment and of being able to articulate clearly and accurately to oneself and others what one has observed. It helps in exercising them to be able to recognize and take into account factors that make one’s observation less trustworthy, such as prior framing of the situation, inadequate time, deficient senses, poor observation conditions, and the like. It helps as well to be skilled at taking steps to make one’s observation more trustworthy, such as moving closer to get a better look, measuring something three times and taking the average, and checking what one thinks one is observing with someone else who is in a good position to observe it. It also helps to be skilled at recognizing respects in which one’s report of one’s observation involves inference rather than direct observation, so that one can then consider whether the inference is justified. These abilities come into play as well when one thinks about whether and with what degree of confidence to accept an observation report, for example in the study of history or in a criminal investigation or in assessing news reports. Observational abilities show up in some lists of critical thinking abilities (Ennis 1962: 90; Facione 1990a: 16; Ennis 1991: 9). There are items testing a person’s ability to judge the credibility of observation reports in the Cornell Critical Thinking Tests, Levels X and Z (Ennis & Millman 1971; Ennis, Millman, & Tomko 1985, 2005). Norris and King (1983, 1985, 1990a, 1990b) is a test of ability to appraise observation reports.

Emotional abilities : The emotions that drive a critical thinking process are perplexity or puzzlement, a wish to resolve it, and satisfaction at achieving the desired resolution. Children experience these emotions at an early age, without being trained to do so. Education that takes critical thinking as a goal needs only to channel these emotions and to make sure not to stifle them. Collaborative critical thinking benefits from ability to recognize one’s own and others’ emotional commitments and reactions.

Questioning abilities : A critical thinking process needs transformation of an inchoate sense of perplexity into a clear question. Formulating a question well requires not building in questionable assumptions, not prejudging the issue, and using language that in context is unambiguous and precise enough (Ennis 1962: 97; 1991: 9).

Imaginative abilities : Thinking directed at finding the correct causal explanation of a general phenomenon or particular event requires an ability to imagine possible explanations. Thinking about what policy or plan of action to adopt requires generation of options and consideration of possible consequences of each option. Domain knowledge is required for such creative activity, but a general ability to imagine alternatives is helpful and can be nurtured so as to become easier, quicker, more extensive, and deeper (Dewey 1910: 34–39; 1933: 40–47). Facione (1990a) and Halpern (1998) include the ability to imagine alternatives as a critical thinking ability.

Inferential abilities : The ability to draw conclusions from given information, and to recognize with what degree of certainty one’s own or others’ conclusions follow, is universally recognized as a general critical thinking ability. All 11 examples in section 2 of this article include inferences, some from hypotheses or options (as in Transit , Ferryboat and Disorder ), others from something observed (as in Weather and Rash ). None of these inferences is formally valid. Rather, they are licensed by general, sometimes qualified substantive rules of inference (Toulmin 1958) that rest on domain knowledge—that a bus trip takes about the same time in each direction, that the terminal of a wireless telegraph would be located on the highest possible place, that sudden cooling is often followed by rain, that an allergic reaction to a sulfa drug generally shows up soon after one starts taking it. It is a matter of controversy to what extent the specialized ability to deduce conclusions from premisses using formal rules of inference is needed for critical thinking. Dewey (1933) locates logical forms in setting out the products of reflection rather than in the process of reflection. Ennis (1981a), on the other hand, maintains that a liberally-educated person should have the following abilities: to translate natural-language statements into statements using the standard logical operators, to use appropriately the language of necessary and sufficient conditions, to deal with argument forms and arguments containing symbols, to determine whether in virtue of an argument’s form its conclusion follows necessarily from its premisses, to reason with logically complex propositions, and to apply the rules and procedures of deductive logic. Inferential abilities are recognized as critical thinking abilities by Glaser (1941: 6), Facione (1990a: 9), Ennis (1991: 9), Fisher & Scriven (1997: 99, 111), and Halpern (1998: 452). Items testing inferential abilities constitute two of the five subtests of the Watson Glaser Critical Thinking Appraisal (Watson & Glaser 1980a, 1980b, 1994), two of the four sections in the Cornell Critical Thinking Test Level X (Ennis & Millman 1971; Ennis, Millman, & Tomko 1985, 2005), three of the seven sections in the Cornell Critical Thinking Test Level Z (Ennis & Millman 1971; Ennis, Millman, & Tomko 1985, 2005), 11 of the 34 items on Forms A and B of the California Critical Thinking Skills Test (Facione 1990b, 1992), and a high but variable proportion of the 25 selected-response questions in the Collegiate Learning Assessment (Council for Aid to Education 2017).

Experimenting abilities : Knowing how to design and execute an experiment is important not just in scientific research but also in everyday life, as in Rash . Dewey devoted a whole chapter of his How We Think (1910: 145–156; 1933: 190–202) to the superiority of experimentation over observation in advancing knowledge. Experimenting abilities come into play at one remove in appraising reports of scientific studies. Skill in designing and executing experiments includes the acknowledged abilities to appraise evidence (Glaser 1941: 6), to carry out experiments and to apply appropriate statistical inference techniques (Facione 1990a: 9), to judge inductions to an explanatory hypothesis (Ennis 1991: 9), and to recognize the need for an adequately large sample size (Halpern 1998). The Cornell Critical Thinking Test Level Z (Ennis & Millman 1971; Ennis, Millman, & Tomko 1985, 2005) includes four items (out of 52) on experimental design. The Collegiate Learning Assessment (Council for Aid to Education 2017) makes room for appraisal of study design in both its performance task and its selected-response questions.

Consulting abilities : Skill at consulting sources of information comes into play when one seeks information to help resolve a problem, as in Candidate . Ability to find and appraise information includes ability to gather and marshal pertinent information (Glaser 1941: 6), to judge whether a statement made by an alleged authority is acceptable (Ennis 1962: 84), to plan a search for desired information (Facione 1990a: 9), and to judge the credibility of a source (Ennis 1991: 9). Ability to judge the credibility of statements is tested by 24 items (out of 76) in the Cornell Critical Thinking Test Level X (Ennis & Millman 1971; Ennis, Millman, & Tomko 1985, 2005) and by four items (out of 52) in the Cornell Critical Thinking Test Level Z (Ennis & Millman 1971; Ennis, Millman, & Tomko 1985, 2005). The College Learning Assessment’s performance task requires evaluation of whether information in documents is credible or unreliable (Council for Aid to Education 2017).

Argument analysis abilities : The ability to identify and analyze arguments contributes to the process of surveying arguments on an issue in order to form one’s own reasoned judgment, as in Candidate . The ability to detect and analyze arguments is recognized as a critical thinking skill by Facione (1990a: 7–8), Ennis (1991: 9) and Halpern (1998). Five items (out of 34) on the California Critical Thinking Skills Test (Facione 1990b, 1992) test skill at argument analysis. The College Learning Assessment (Council for Aid to Education 2017) incorporates argument analysis in its selected-response tests of critical reading and evaluation and of critiquing an argument.

Judging skills and deciding skills : Skill at judging and deciding is skill at recognizing what judgment or decision the available evidence and argument supports, and with what degree of confidence. It is thus a component of the inferential skills already discussed.

Lists and tests of critical thinking abilities often include two more abilities: identifying assumptions and constructing and evaluating definitions.

In addition to dispositions and abilities, critical thinking needs knowledge: of critical thinking concepts, of critical thinking principles, and of the subject-matter of the thinking.

We can derive a short list of concepts whose understanding contributes to critical thinking from the critical thinking abilities described in the preceding section. Observational abilities require an understanding of the difference between observation and inference. Questioning abilities require an understanding of the concepts of ambiguity and vagueness. Inferential abilities require an understanding of the difference between conclusive and defeasible inference (traditionally, between deduction and induction), as well as of the difference between necessary and sufficient conditions. Experimenting abilities require an understanding of the concepts of hypothesis, null hypothesis, assumption and prediction, as well as of the concept of statistical significance and of its difference from importance. They also require an understanding of the difference between an experiment and an observational study, and in particular of the difference between a randomized controlled trial, a prospective correlational study and a retrospective (case-control) study. Argument analysis abilities require an understanding of the concepts of argument, premiss, assumption, conclusion and counter-consideration. Additional critical thinking concepts are proposed by Bailin et al. (1999b: 293), Fisher & Scriven (1997: 105–106), Black (2012), and Blair (2021).

According to Glaser (1941: 25), ability to think critically requires knowledge of the methods of logical inquiry and reasoning. If we review the list of abilities in the preceding section, however, we can see that some of them can be acquired and exercised merely through practice, possibly guided in an educational setting, followed by feedback. Searching intelligently for a causal explanation of some phenomenon or event requires that one consider a full range of possible causal contributors, but it seems more important that one implements this principle in one’s practice than that one is able to articulate it. What is important is “operational knowledge” of the standards and principles of good thinking (Bailin et al. 1999b: 291–293). But the development of such critical thinking abilities as designing an experiment or constructing an operational definition can benefit from learning their underlying theory. Further, explicit knowledge of quirks of human thinking seems useful as a cautionary guide. Human memory is not just fallible about details, as people learn from their own experiences of misremembering, but is so malleable that a detailed, clear and vivid recollection of an event can be a total fabrication (Loftus 2017). People seek or interpret evidence in ways that are partial to their existing beliefs and expectations, often unconscious of their “confirmation bias” (Nickerson 1998). Not only are people subject to this and other cognitive biases (Kahneman 2011), of which they are typically unaware, but it may be counter-productive for one to make oneself aware of them and try consciously to counteract them or to counteract social biases such as racial or sexual stereotypes (Kenyon & Beaulac 2014). It is helpful to be aware of these facts and of the superior effectiveness of blocking the operation of biases—for example, by making an immediate record of one’s observations, refraining from forming a preliminary explanatory hypothesis, blind refereeing, double-blind randomized trials, and blind grading of students’ work. It is also helpful to be aware of the prevalence of “noise” (unwanted unsystematic variability of judgments), of how to detect noise (through a noise audit), and of how to reduce noise: make accuracy the goal, think statistically, break a process of arriving at a judgment into independent tasks, resist premature intuitions, in a group get independent judgments first, favour comparative judgments and scales (Kahneman, Sibony, & Sunstein 2021). It is helpful as well to be aware of the concept of “bounded rationality” in decision-making and of the related distinction between “satisficing” and optimizing (Simon 1956; Gigerenzer 2001).

Critical thinking about an issue requires substantive knowledge of the domain to which the issue belongs. Critical thinking abilities are not a magic elixir that can be applied to any issue whatever by somebody who has no knowledge of the facts relevant to exploring that issue. For example, the student in Bubbles needed to know that gases do not penetrate solid objects like a glass, that air expands when heated, that the volume of an enclosed gas varies directly with its temperature and inversely with its pressure, and that hot objects will spontaneously cool down to the ambient temperature of their surroundings unless kept hot by insulation or a source of heat. Critical thinkers thus need a rich fund of subject-matter knowledge relevant to the variety of situations they encounter. This fact is recognized in the inclusion among critical thinking dispositions of a concern to become and remain generally well informed.

Experimental educational interventions, with control groups, have shown that education can improve critical thinking skills and dispositions, as measured by standardized tests. For information about these tests, see the Supplement on Assessment .

What educational methods are most effective at developing the dispositions, abilities and knowledge of a critical thinker? In a comprehensive meta-analysis of experimental and quasi-experimental studies of strategies for teaching students to think critically, Abrami et al. (2015) found that dialogue, anchored instruction, and mentoring each increased the effectiveness of the educational intervention, and that they were most effective when combined. They also found that in these studies a combination of separate instruction in critical thinking with subject-matter instruction in which students are encouraged to think critically was more effective than either by itself. However, the difference was not statistically significant; that is, it might have arisen by chance.

Most of these studies lack the longitudinal follow-up required to determine whether the observed differential improvements in critical thinking abilities or dispositions continue over time, for example until high school or college graduation. For details on studies of methods of developing critical thinking skills and dispositions, see the Supplement on Educational Methods .

12. Controversies

Scholars have denied the generalizability of critical thinking abilities across subject domains, have alleged bias in critical thinking theory and pedagogy, and have investigated the relationship of critical thinking to other kinds of thinking.

McPeck (1981) attacked the thinking skills movement of the 1970s, including the critical thinking movement. He argued that there are no general thinking skills, since thinking is always thinking about some subject-matter. It is futile, he claimed, for schools and colleges to teach thinking as if it were a separate subject. Rather, teachers should lead their pupils to become autonomous thinkers by teaching school subjects in a way that brings out their cognitive structure and that encourages and rewards discussion and argument. As some of his critics (e.g., Paul 1985; Siegel 1985) pointed out, McPeck’s central argument needs elaboration, since it has obvious counter-examples in writing and speaking, for which (up to a certain level of complexity) there are teachable general abilities even though they are always about some subject-matter. To make his argument convincing, McPeck needs to explain how thinking differs from writing and speaking in a way that does not permit useful abstraction of its components from the subject-matters with which it deals. He has not done so. Nevertheless, his position that the dispositions and abilities of a critical thinker are best developed in the context of subject-matter instruction is shared by many theorists of critical thinking, including Dewey (1910, 1933), Glaser (1941), Passmore (1980), Weinstein (1990), Bailin et al. (1999b), and Willingham (2019).

McPeck’s challenge prompted reflection on the extent to which critical thinking is subject-specific. McPeck argued for a strong subject-specificity thesis, according to which it is a conceptual truth that all critical thinking abilities are specific to a subject. (He did not however extend his subject-specificity thesis to critical thinking dispositions. In particular, he took the disposition to suspend judgment in situations of cognitive dissonance to be a general disposition.) Conceptual subject-specificity is subject to obvious counter-examples, such as the general ability to recognize confusion of necessary and sufficient conditions. A more modest thesis, also endorsed by McPeck, is epistemological subject-specificity, according to which the norms of good thinking vary from one field to another. Epistemological subject-specificity clearly holds to a certain extent; for example, the principles in accordance with which one solves a differential equation are quite different from the principles in accordance with which one determines whether a painting is a genuine Picasso. But the thesis suffers, as Ennis (1989) points out, from vagueness of the concept of a field or subject and from the obvious existence of inter-field principles, however broadly the concept of a field is construed. For example, the principles of hypothetico-deductive reasoning hold for all the varied fields in which such reasoning occurs. A third kind of subject-specificity is empirical subject-specificity, according to which as a matter of empirically observable fact a person with the abilities and dispositions of a critical thinker in one area of investigation will not necessarily have them in another area of investigation.

The thesis of empirical subject-specificity raises the general problem of transfer. If critical thinking abilities and dispositions have to be developed independently in each school subject, how are they of any use in dealing with the problems of everyday life and the political and social issues of contemporary society, most of which do not fit into the framework of a traditional school subject? Proponents of empirical subject-specificity tend to argue that transfer is more likely to occur if there is critical thinking instruction in a variety of domains, with explicit attention to dispositions and abilities that cut across domains. But evidence for this claim is scanty. There is a need for well-designed empirical studies that investigate the conditions that make transfer more likely.

It is common ground in debates about the generality or subject-specificity of critical thinking dispositions and abilities that critical thinking about any topic requires background knowledge about the topic. For example, the most sophisticated understanding of the principles of hypothetico-deductive reasoning is of no help unless accompanied by some knowledge of what might be plausible explanations of some phenomenon under investigation.

Critics have objected to bias in the theory, pedagogy and practice of critical thinking. Commentators (e.g., Alston 1995; Ennis 1998) have noted that anyone who takes a position has a bias in the neutral sense of being inclined in one direction rather than others. The critics, however, are objecting to bias in the pejorative sense of an unjustified favoring of certain ways of knowing over others, frequently alleging that the unjustly favoured ways are those of a dominant sex or culture (Bailin 1995). These ways favour:

• reinforcement of egocentric and sociocentric biases over dialectical engagement with opposing world-views (Paul 1981, 1984; Warren 1998)
• distancing from the object of inquiry over closeness to it (Martin 1992; Thayer-Bacon 1992)
• indifference to the situation of others over care for them (Martin 1992)
• orientation to thought over orientation to action (Martin 1992)
• being reasonable over caring to understand people’s ideas (Thayer-Bacon 1993)
• being neutral and objective over being embodied and situated (Thayer-Bacon 1995a)
• doubting over believing (Thayer-Bacon 1995b)
• reason over emotion, imagination and intuition (Thayer-Bacon 2000)
• solitary thinking over collaborative thinking (Thayer-Bacon 2000)
• written and spoken assignments over other forms of expression (Alston 2001)
• attention to written and spoken communications over attention to human problems (Alston 2001)
• winning debates in the public sphere over making and understanding meaning (Alston 2001)

A common thread in this smorgasbord of accusations is dissatisfaction with focusing on the logical analysis and evaluation of reasoning and arguments. While these authors acknowledge that such analysis and evaluation is part of critical thinking and should be part of its conceptualization and pedagogy, they insist that it is only a part. Paul (1981), for example, bemoans the tendency of atomistic teaching of methods of analyzing and evaluating arguments to turn students into more able sophists, adept at finding fault with positions and arguments with which they disagree but even more entrenched in the egocentric and sociocentric biases with which they began. Martin (1992) and Thayer-Bacon (1992) cite with approval the self-reported intimacy with their subject-matter of leading researchers in biology and medicine, an intimacy that conflicts with the distancing allegedly recommended in standard conceptions and pedagogy of critical thinking. Thayer-Bacon (2000) contrasts the embodied and socially embedded learning of her elementary school students in a Montessori school, who used their imagination, intuition and emotions as well as their reason, with conceptions of critical thinking as

thinking that is used to critique arguments, offer justifications, and make judgments about what are the good reasons, or the right answers. (Thayer-Bacon 2000: 127–128)

Alston (2001) reports that her students in a women’s studies class were able to see the flaws in the Cinderella myth that pervades much romantic fiction but in their own romantic relationships still acted as if all failures were the woman’s fault and still accepted the notions of love at first sight and living happily ever after. Students, she writes, should

be able to connect their intellectual critique to a more affective, somatic, and ethical account of making risky choices that have sexist, racist, classist, familial, sexual, or other consequences for themselves and those both near and far… critical thinking that reads arguments, texts, or practices merely on the surface without connections to feeling/desiring/doing or action lacks an ethical depth that should infuse the difference between mere cognitive activity and something we want to call critical thinking. (Alston 2001: 34)

Some critics portray such biases as unfair to women. Thayer-Bacon (1992), for example, has charged modern critical thinking theory with being sexist, on the ground that it separates the self from the object and causes one to lose touch with one’s inner voice, and thus stigmatizes women, who (she asserts) link self to object and listen to their inner voice. Her charge does not imply that women as a group are on average less able than men to analyze and evaluate arguments. Facione (1990c) found no difference by sex in performance on his California Critical Thinking Skills Test. Kuhn (1991: 280–281) found no difference by sex in either the disposition or the competence to engage in argumentative thinking.

The critics propose a variety of remedies for the biases that they allege. In general, they do not propose to eliminate or downplay critical thinking as an educational goal. Rather, they propose to conceptualize critical thinking differently and to change its pedagogy accordingly. Their pedagogical proposals arise logically from their objections. They can be summarized as follows:

• Focus on argument networks with dialectical exchanges reflecting contesting points of view rather than on atomic arguments, so as to develop “strong sense” critical thinking that transcends egocentric and sociocentric biases (Paul 1981, 1984).
• Foster closeness to the subject-matter and feeling connected to others in order to inform a humane democracy (Martin 1992).
• Develop “constructive thinking” as a social activity in a community of physically embodied and socially embedded inquirers with personal voices who value not only reason but also imagination, intuition and emotion (Thayer-Bacon 2000).
• In developing critical thinking in school subjects, treat as important neither skills nor dispositions but opening worlds of meaning (Alston 2001).
• Attend to the development of critical thinking dispositions as well as skills, and adopt the “critical pedagogy” practised and advocated by Freire (1968 [1970]) and hooks (1994) (Dalgleish, Girard, & Davies 2017).

A common thread in these proposals is treatment of critical thinking as a social, interactive, personally engaged activity like that of a quilting bee or a barn-raising (Thayer-Bacon 2000) rather than as an individual, solitary, distanced activity symbolized by Rodin’s The Thinker . One can get a vivid description of education with the former type of goal from the writings of bell hooks (1994, 2010). Critical thinking for her is open-minded dialectical exchange across opposing standpoints and from multiple perspectives, a conception similar to Paul’s “strong sense” critical thinking (Paul 1981). She abandons the structure of domination in the traditional classroom. In an introductory course on black women writers, for example, she assigns students to write an autobiographical paragraph about an early racial memory, then to read it aloud as the others listen, thus affirming the uniqueness and value of each voice and creating a communal awareness of the diversity of the group’s experiences (hooks 1994: 84). Her “engaged pedagogy” is thus similar to the “freedom under guidance” implemented in John Dewey’s Laboratory School of Chicago in the late 1890s and early 1900s. It incorporates the dialogue, anchored instruction, and mentoring that Abrami (2015) found to be most effective in improving critical thinking skills and dispositions.

What is the relationship of critical thinking to problem solving, decision-making, higher-order thinking, creative thinking, and other recognized types of thinking? One’s answer to this question obviously depends on how one defines the terms used in the question. If critical thinking is conceived broadly to cover any careful thinking about any topic for any purpose, then problem solving and decision making will be kinds of critical thinking, if they are done carefully. Historically, ‘critical thinking’ and ‘problem solving’ were two names for the same thing. If critical thinking is conceived more narrowly as consisting solely of appraisal of intellectual products, then it will be disjoint with problem solving and decision making, which are constructive.

Bloom’s taxonomy of educational objectives used the phrase “intellectual abilities and skills” for what had been labeled “critical thinking” by some, “reflective thinking” by Dewey and others, and “problem solving” by still others (Bloom et al. 1956: 38). Thus, the so-called “higher-order thinking skills” at the taxonomy’s top levels of analysis, synthesis and evaluation are just critical thinking skills, although they do not come with general criteria for their assessment (Ennis 1981b). The revised version of Bloom’s taxonomy (Anderson et al. 2001) likewise treats critical thinking as cutting across those types of cognitive process that involve more than remembering (Anderson et al. 2001: 269–270). For details, see the Supplement on History .

As to creative thinking, it overlaps with critical thinking (Bailin 1987, 1988). Thinking about the explanation of some phenomenon or event, as in Ferryboat , requires creative imagination in constructing plausible explanatory hypotheses. Likewise, thinking about a policy question, as in Candidate , requires creativity in coming up with options. Conversely, creativity in any field needs to be balanced by critical appraisal of the draft painting or novel or mathematical theory.

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What Are Critical Thinking Skills and Why Are They Important?

Learn what critical thinking skills are, why they’re important, and how to develop and apply them in your workplace and everyday life.

We often use critical thinking skills without even realizing it. When you make a decision, such as which cereal to eat for breakfast, you're using critical thinking to determine the best option for you that day.

Critical thinking is like a muscle that can be exercised and built over time. It is a skill that can help propel your career to new heights. You'll be able to solve workplace issues, use trial and error to troubleshoot ideas, and more.

We'll take you through what it is and some examples so you can begin your journey in mastering this skill.

What is critical thinking?

Critical thinking is the ability to interpret, evaluate, and analyze facts and information that are available, to form a judgment or decide if something is right or wrong.

More than just being curious about the world around you, critical thinkers make connections between logical ideas to see the bigger picture. Building your critical thinking skills means being able to advocate your ideas and opinions, present them in a logical fashion, and make decisions for improvement.

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Why is critical thinking important?

Critical thinking is useful in many areas of your life, including your career. It makes you a well-rounded individual, one who has looked at all of their options and possible solutions before making a choice.

According to the University of the People in California, having critical thinking skills is important because they are [ 1 ]:

Crucial for the economy

Essential for improving language and presentation skills

Very helpful in promoting creativity

Important for self-reflection

The basis of science and democracy 

Critical thinking skills are used every day in a myriad of ways and can be applied to situations such as a CEO approaching a group project or a nurse deciding in which order to treat their patients.

Examples of common critical thinking skills

Critical thinking skills differ from individual to individual and are utilized in various ways. Examples of common critical thinking skills include:

Identification of biases: Identifying biases means knowing there are certain people or things that may have an unfair prejudice or influence on the situation at hand. Pointing out these biases helps to remove them from contention when it comes to solving the problem and allows you to see things from a different perspective.

Research: Researching details and facts allows you to be prepared when presenting your information to people. You’ll know exactly what you’re talking about due to the time you’ve spent with the subject material, and you’ll be well-spoken and know what questions to ask to gain more knowledge. When researching, always use credible sources and factual information.

Open-mindedness: Being open-minded when having a conversation or participating in a group activity is crucial to success. Dismissing someone else’s ideas before you’ve heard them will inhibit you from progressing to a solution, and will often create animosity. If you truly want to solve a problem, you need to be willing to hear everyone’s opinions and ideas if you want them to hear yours.

Analysis: Analyzing your research will lead to you having a better understanding of the things you’ve heard and read. As a true critical thinker, you’ll want to seek out the truth and get to the source of issues. It’s important to avoid taking things at face value and always dig deeper.

Problem-solving: Problem-solving is perhaps the most important skill that critical thinkers can possess. The ability to solve issues and bounce back from conflict is what helps you succeed, be a leader, and effect change. One way to properly solve problems is to first recognize there’s a problem that needs solving. By determining the issue at hand, you can then analyze it and come up with several potential solutions.

How to develop critical thinking skills

You can develop critical thinking skills every day if you approach problems in a logical manner. Here are a few ways you can start your path to improvement:

1. Ask questions.

Be inquisitive about everything. Maintain a neutral perspective and develop a natural curiosity, so you can ask questions that develop your understanding of the situation or task at hand. The more details, facts, and information you have, the better informed you are to make decisions.

2. Practice active listening.

Utilize active listening techniques, which are founded in empathy, to really listen to what the other person is saying. Critical thinking, in part, is the cognitive process of reading the situation: the words coming out of their mouth, their body language, their reactions to your own words. Then, you might paraphrase to clarify what they're saying, so both of you agree you're on the same page.

3. Develop your logic and reasoning.

This is perhaps a more abstract task that requires practice and long-term development. However, think of a schoolteacher assessing the classroom to determine how to energize the lesson. There's options such as playing a game, watching a video, or challenging the students with a reward system. Using logic, you might decide that the reward system will take up too much time and is not an immediate fix. A video is not exactly relevant at this time. So, the teacher decides to play a simple word association game.

Scenarios like this happen every day, so next time, you can be more aware of what will work and what won't. Over time, developing your logic and reasoning will strengthen your critical thinking skills.

Learn tips and tricks on how to become a better critical thinker and problem solver through online courses from notable educational institutions on Coursera. Start with Introduction to Logic and Critical Thinking from Duke University or Mindware: Critical Thinking for the Information Age from the University of Michigan.

Article sources

University of the People, “ Why is Critical Thinking Important?: A Survival Guide , https://www.uopeople.edu/blog/why-is-critical-thinking-important/.” Accessed May 18, 2023.

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• What Is Critical Thinking? | Definition & Examples

What Is Critical Thinking? | Definition & Examples

Published on 25 September 2022 by Eoghan Ryan .

Critical thinking is the ability to effectively analyse information and form a judgement.

To think critically, you must be aware of your own biases and assumptions when encountering information, and apply consistent standards when evaluating sources .

Critical thinking skills help you to:

• Identify credible sources
• Evaluate and respond to arguments
• Assess alternative viewpoints
• Test hypotheses against relevant criteria

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Table of contents

Why is critical thinking important, critical thinking examples, how to think critically, frequently asked questions.

Critical thinking is important for making judgements about sources of information and forming your own arguments. It emphasises a rational, objective, and self-aware approach that can help you to identify credible sources and strengthen your conclusions.

Critical thinking is important in all disciplines and throughout all stages of the research process . The types of evidence used in the sciences and in the humanities may differ, but critical thinking skills are relevant to both.

In an academic context, critical thinking can help you to determine whether a source:

• Is free from research bias
• Provides evidence to support its findings
• Considers alternative viewpoints

Outside of academia, critical thinking goes hand in hand with information literacy to help you form opinions rationally and engage independently and critically with popular media.

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Critical thinking can help you to identify reliable sources of information that you can cite in your research paper . It can also guide your own research methods and inform your own arguments.

Outside of academia, critical thinking can help you to be aware of both your own and others’ biases and assumptions.

Academic examples

However, when you compare the findings of the study with other current research, you determine that the results seem improbable. You analyse the paper again, consulting the sources it cites.

You notice that the research was funded by the pharmaceutical company that created the treatment. Because of this, you view its results skeptically and determine that more independent research is necessary to confirm or refute them. Example: Poor critical thinking in an academic context You’re researching a paper on the impact wireless technology has had on developing countries that previously did not have large-scale communications infrastructure. You read an article that seems to confirm your hypothesis: the impact is mainly positive. Rather than evaluating the research methodology, you accept the findings uncritically.

Nonacademic examples

However, you decide to compare this review article with consumer reviews on a different site. You find that these reviews are not as positive. Some customers have had problems installing the alarm, and some have noted that it activates for no apparent reason.

You revisit the original review article. You notice that the words ‘sponsored content’ appear in small print under the article title. Based on this, you conclude that the review is advertising and is therefore not an unbiased source. Example: Poor critical thinking in a nonacademic context You support a candidate in an upcoming election. You visit an online news site affiliated with their political party and read an article that criticizes their opponent. The article claims that the opponent is inexperienced in politics. You accept this without evidence, because it fits your preconceptions about the opponent.

There is no single way to think critically. How you engage with information will depend on the type of source you’re using and the information you need.

However, you can engage with sources in a systematic and critical way by asking certain questions when you encounter information. Like the CRAAP test , these questions focus on the currency , relevance , authority , accuracy , and purpose of a source of information.

When encountering information, ask:

• Who is the author? Are they an expert in their field?
• What do they say? Is their argument clear? Can you summarise it?
• When did they say this? Is the source current?
• Where is the information published? Is it an academic article? Is it a blog? A newspaper article?
• Why did the author publish it? What is their motivation?
• How do they make their argument? Is it backed up by evidence? Does it rely on opinion, speculation, or appeals to emotion ? Do they address alternative arguments?

Critical thinking also involves being aware of your own biases, not only those of others. When you make an argument or draw your own conclusions, you can ask similar questions about your own writing:

• Am I only considering evidence that supports my preconceptions?
• Is my argument expressed clearly and backed up with credible sources?
• Would I be convinced by this argument coming from someone else?

Critical thinking refers to the ability to evaluate information and to be aware of biases or assumptions, including your own.

Like information literacy , it involves evaluating arguments, identifying and solving problems in an objective and systematic way, and clearly communicating your ideas.

Critical thinking skills include the ability to:

You can assess information and arguments critically by asking certain questions about the source. You can use the CRAAP test , focusing on the currency , relevance , authority , accuracy , and purpose of a source of information.

Ask questions such as:

• Who is the author? Are they an expert?
• How do they make their argument? Is it backed up by evidence?

A credible source should pass the CRAAP test  and follow these guidelines:

• The information should be up to date and current.
• The author and publication should be a trusted authority on the subject you are researching.
• The sources the author cited should be easy to find, clear, and unbiased.
• For a web source, the URL and layout should signify that it is trustworthy.

Information literacy refers to a broad range of skills, including the ability to find, evaluate, and use sources of information effectively.

Being information literate means that you:

• Know how to find credible sources
• Use relevant sources to inform your research
• Understand what constitutes plagiarism
• Know how to cite your sources correctly

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Kinds of Arguments

Contemporary Western philosophy treats arguments as coming in two main types, deductive and inductive. The basic distinction and difference will be mentioned here.

Deductive arguments are arguments in which the premises (if true) guarantee the truth of the conclusion. The conclusion of a successful deductive argument cannot possibly be false, assuming its premises are true. This is what it means to label an argument as “valid” in logic. The form or structure of a deductive argument is the essential aspect to consider. Somewhat counter-intuitively, the premises do not need to be true for the conclusion to be true.

Arguments are a linguistic representation of an inference. So, using slightly different terminology, we can define deductive inferences . In a successful deductive inference, the premises and the denial of the conclusion constitute an inconsistent set of statements. An alternative way to describe the same relation: in a successful deductive inference, the truth of the premises makes the falsity of the conclusion logically impossible. A successful deductive inference is valid .

Deductive Example

1) All dogs are mammals.

2) All mammals breathe air.

_______________________________________________

SO: All dogs breathe air.

Inductive arguments are arguments with premises which make it likely that the conclusion is true but don’t absolutely guarantee its truth . Inductive arguments are by far the most common type of argument we see in our daily lives. We can assess inductive arguments along a spectrum of successful (stronger) to unsuccessful (weaker). The more successful (stronger) argument suggests that the premises mean the conclusion is probably true, with a high degree of likelihood. It is important to remember that inductive arguments can never fully guarantee the truth of the conclusion.

Using slightly different terminology, we can consider inductive inferences, referring to the actual thinking process in someone’s mind. In a successful inductive inference, the truth of the premises makes the falsity of the conclusion possible, but unlikely. Inductive inferences can be evaluated as “stronger” or “weaker” depending on the probability.

Inductive Example

1) The Interstate Bridge is regularly inspected by qualified engineers.

2) Vehicles have been driving over it for years.

SO: It will be safe to drive over it tomorrow.

One thing that makes applying the distinction between deductive and inductive arguments a bit tricky is this: we can’t look only at the premises OR only at the conclusion. Instead, we need to focus on the relationship between the premise(s) and the conclusion to tell what kind of argument we have.

A further contributor to trickiness: we can’t be distracted by the question of whether the statements are true or false. To classify an argument as deductive or inductive, we need to grant that the premises are true in a hypothetical way. We have to ask the question, “If those premises were true, would it be IMPOSSIBLE for the conclusion to be false?” If so, it is a deductive argument. Or “If those premises were true, would it be UNLIKELY, but still possible, that the conclusion is false? If so, it is an inductive argument.

As an example, consider this valid deductive argument:

1) All clouds are made out of spun sugar.

2) Anything made out of spun sugar is high in calories.

SO: All clouds are high in calories.

This argument is deductively successful because the truth of the premises would make the falsity of the conclusion impossible. Odd, isn’t it?

Some arguments are presented with premises missing. In those cases, the determination of deductive or inductive will depend on how that premise is filled in.

For example: I had an apple for lunch, so I had something healthy!

Exercise: Deductive or Inductive?

Determine if the following arguments are deductive or inductive. It is a good idea to put the arguments in standard form first, so you are clear about the relation between premises and conclusion.

Critical Thinking in Academic Research Copyright © 2022 by Cindy Gruwell and Robin Ewing is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License , except where otherwise noted.

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Diagramming Arguments, Premise and Conclusion Indicators, with Many Examples

Abstract: Analyzing the structure of arguments is clarified by representing the logical relations of premises and conclusion in diagram form. Many ordinary language argument examples are explained and diagrammed.

“Argument” Defined

• How to Identify Arguments

How to Analyze Simple Arguments

• Premise Indicators
• Conclusion Indicators
• Equal Status Indicators

How to Analyze Complex Arguments

• Links to Diagramming Exercises
• Tutorials for Diagramming

Formal arguments are evaluated by their logical structure; informal arguments are studied and evaluated as parts of ordinary language and interpersonal discourse.

Statement or Proposition:

How to identify the presence of an argument.

[1] I conclude the dinosaurs probably had to cope with cancer. These are my reasons : [2] a beautiful lower leg bone was found in Alberta, [3] the end of the fibula was grossly malformed, and [4] this appearance closely matches osteosarcoma in humans.

Since [1] the solution turns litmus paper red, [2] I conclude it is acidic, inasmuch as [3] acidic substances react with litmus to form a red color.

• Ask yourself “What is the author trying to prove in this passage?” In order to determine whether or not an argument is present in a passage, it sometimes helps to pose this question. If an answer is directly forthcoming, then the passage is most likely an argument. Despite that, the presence of an argument cannot be always known with certainty; often the purpose of the passage can only be contextually surmised. Establishing the intention of a speaker or writer is sometimes the only determining factor of whether or not an argument is present. A charitable , and insofar as possible, an impartial conventional interpretation of the context, content, and purpose of the passage should be sought.

“[1] The types of sentences you use are quite varied. [2] I've noticed that your recent essays are quite sophisticated. [3] You have been learning much more about sentence structure.”

“ Because [1] of our preoccupation with the present moment and the latest discovery, [2] we do not read the great books of the past. Because [3a] we do not do this sort of reading, and [3b] do not think it is important, [4] we do not bother about trying to learn to read difficult books. As a result , [5] we do not learn to read well at all.” [1]

Statement [1] provides evidence for [2].

Next, [2] together with [3] ([3a] and [3b] being combined here as one compound statement for simplification) gives evidence for [4].

Finally, as a result of [4], statement [5] concludes with some degree of probability.

• The number of arguments in a passage is conventionally established by the number of conclusions in that passage.

[1] John didn't get much sleep last night. [2] He has dark circles under his eyes. [3] He looks tired.

[1] Studies from rats indicate that neuropeptide Y in the brain causes carbohydrate craving, and [2] galanin causes fat craving. Hence , [3] I conclude that food cravings are tied to brain chemicals [4] because neuropeptide Y and galanin are brain chemicals.

• The structure of the argument can be inferred by attending to the premise and conclusion indicators even though the content of the argument might not be fully understood.

[1] The piano teacher should consider an additional study of the pipe organ. [2] As an organist. the teacher would have added income at times when she is not teaching; consequently , and for this reason [3] she would receive added publicity and prestige. Therefore , [4] she would be likely to attract additional students and additional income.

Working with Premise Indicators:

for since as because [* when the term means “for the reason that” but not when it means “from the cause of”] in as much as follows from after all in light of the fact assuming seeing that granted that; given that in view of as shown by; as indicated by deduced from inferred from; concluded from due to the fact that for the reason [* often mistaken for a conclusion indicator ]

[2a] Reading the point of intersection of a graph depends on the accuracy with which the lines are drawn. [2b] Reading the point of intersection also depends upon the ability to interpret the coordinate of the point. [1]Thus, the graphical method for solving a system of equations is an approximation.

“[3] [the mind must] obtain a little strength by a slight exertion of its thinking powers.”

Working with Conclusion Indicators:

thus therefore consequently hence so it follows that proves that; demonstrates that; shows that indicates that accordingly [* an indicator often missed ] implies that; entails that; follows that this means we may infer; it can be inferred that suggests that results in in conclusion for this reason; for that reason [* often mistaken for premise indicators (a conclusion follows these phrases; a premise precedes these phrases .)]

“[3a] So it may well be that cancer is induced not by the original substances but [3b] [it may well be that cancer is induced] by the products of their metabolism once inside the organism.”

Working with Equal Status Indicators:

or [ the inclusive “or,” i.e. “ either or or both ”] and as [* when it connects similar clauses; not when it connects a result with a cause ] in addition although despite; in spite of besides though but yet however moreover nevertheless not only … but also ( and also the semicolon “;”)

• If one of the clauses has already been identified as a premise or a conclusion of an argument, then its coordinating clause is probably the same type of statement. Check the following examples.

Comment : Notice that statements [2] and [3] work together as a reason, so both together provide evidence for [1].

“ … [3] it depends on the indices of refraction of the lens material and [4] [it depends on] the surrounding medium.”

For [1] and [2], so [3].

[1] If students were environmentally aware, they would object to the endangering of any species of animal. [2] The well-known Greenwood white squirrel has become endangered [3] as it has disappeared from the Lander campus [4] because the building of the library destroyed its native habitat. [5] No Lander students objected. [6] Thus , Lander students are not environmentally aware.

as because thus

• Statement [6] is the final conclusion since it has the conclusion indicator “thus” and the import of the paragraph indicates that this statement is the main point of the argument. (It is also the last sentence in the paragraph.)

[1] If students were environmentally A ware, [ then ] they would O bject to the endangering of any species of animal. [5] No student O bjected [to the endangering of the Greenwood white squirrel].

[1] If A then O [5] Not O

“[6] Thus, Lander students are not environmentally A ware,”

[1] If A then O [5] Not O [6] Not A

“The explanation as to why productivity has slumped since 2004 is a simple one. That year coincided with the creation of Facebook ” [11]

“In The Voyage of the Dawn Treader, the ship's prow is ‘gilded and shaped like the head of a dragon with wide open mouth’ so when, a moment later, the children stare at the picture ‘with open mouths’, they are being remade in its image … The painted ocean to which Joan is drawn is ‘like a mighty animal’, a ‘wicked virile thing’. The implication in both cases is that art is not safe, and that this is why it's needed.” [emphasis mine] [12]

“He asked: ‘Who are the Âdityas?’ Yâ gñ avalkys replied: ‘The twelve months of the year, and they are Âdityas, because they move along (yanti) taking up everything [ i.e. , taking up the lives of persons, and the fruits of their work] (âdadânâ h ). Because they move along, taking up everything, therefore they are called Âdityas.’”[emphasis mine] [13]

Circular Argument:

Links to diagramming online quizzes with suggested solutions, notes: diagramming arguments.

1. Mortimer J. Adler, How to Read a Book (New York: Simon and Schuster: 1940), 89. ↩

2. Some English textbooks describe argumentative paragraph structure as deductive (proceeding from general to specific statements or inductive (proceeding from specific to general statements). For example, educator and rhetorician Fred Newton Scott writes:

“There are two orders of progress in thought, one proceeding from the statement of a general principle to particular applications of the principle (deductive reasoning), the other proceeding from the statement of particular facts to a general conclusion from those facts (inductive reasoning). In deductive reasoning, the general principle (stated usually at the beginning) is applied in the particulars; in inductive reasoning the general principle (stated usually at the end) if inferred from the particulars, as a conclusion. In a deductive paragraph, as would be expected, the sentences applying the principle to the particular case in hand, usually follow the topic-statement, which announces the principle. In an inductive paragraph the sentences stating the particular facts usually precede the topic-statement, which gives the general conclusion.” [emphases deleted]

Fred Newton Scott, Paragraph-Writing (Boston: Allyn and Bacon, 1909), 62-63. Since this distinction between induction and deduction proves faulty for many arguments, deductive arguments are now described as those that provide total support for their conclusion ( i.e. ,a they logically entail the conclusion); whereas, an inductive argument give partial support for their conclusion ( i.e. , they provide only some evidence for the conclusion.) ↩

3. Most paragraphs have a three-part structure: introduction (often a topic sentence), body (often supporting sentences), and conclusion (often a summary statement). In argumentative writing, the conclusion of an argument is often the topic sentence or main idea of a paragraph. Consequently, the first sentence or last sentence of many argumentative paragraphs contain the conclusion. ↩

4. René Wellek and Austin Warren, Theory of Literature (New York: Harcourt, Brace: 1956), 127. ↩

5. Mary Wollstonecraft, Vindication of the Rights of Woman (1792 London: T. Fisher Unwin, 1891), 273. ↩

6. Irvin D. Yalom, The Gift of Therapy (New York: Harper Perennial, 2009), 133. ↩

7. Maxim D. Frank-Kamenetskii, Unraveling DNA trans. Lev Liapin (New York: VCH Publishers, 1993), 175. ↩

8. Bertrand Russell, The Analysis of Mind (London: 1921 George Allen & Unwin, 1961), 40. ↩

9. Wollstonecraft, Vindication , 175. ↩

10. Marcus Aurelius, Meditations , trans George Long (New York: Sterling: 2006), 69. ↩

11. Nikko Schaff, “Letters: Let the Inventors Speak,” The Economist 460 no. 8820 (January 26, 2013), 16. ↩

12. Matthew Bevis, “What Most I Love I Bite,” in the “Review of The Collected Poems and Drawings of Stevie Smith ,” London Review of Books 38 No. 15 (28 July 2016), 19. ↩

13. B ri hadâra n yaka-Upanishad in The Upanishads , Pt. II, trans. F. Max Müller in The Sacred Books of the East , Vol. XV, ed. F. Max Müller (Oxford: Clarendon Press, 1900), 141. ↩

Readings: Diagramming Arguments

Carnegie Mellon University, iLogos: Argument Diagram Software and User Guide Free software cross-platform. Also, a list with links to other argument diagramming tools.

Martin Davies, Ashley Barnett, and Tim van Gelder, “ Using Computer-Aided Argument Mapping to Teach Reasoning, ” in Studies in Critical Thinking , ed. J. Anthony Blair (Windsor, ON: Open Monograph Press, 2019), 131-176. Chapter outlining how to use argument mapping software in logic classes. doi: 10.22329/wsia.08.2019

Jean Goodwin, “ Wigmore's Chart Method ,” Informal Logic 20 no. 3 (January, 2000), 223-243. doi: 10.22329/il.v20i3.2278 Tree diagram method for complex argument representation and inference strength assessment for legal analysis.

Mara Harrell, Creating Argument Diagrams , Carnegie Mellon University. Tutorial on identification of indicators, rewriting statements, providing missing premises, and reconstruction of arguments. (28 pp.)

Dale Jacquette, “ Enhancing the Diagramming Method in Logic ,” Argument: Biannual Philosophical Journal 1 no. 2 (February, 2011), 327-360. Also here . An extension of the Beardsley diagramming method for disjunctive and conditional inferences as well as other logical structures.

Michael Malone, “On Discounts and Argument Identification,” Teaching Philosophy 33 no. 1 (March, 2010), 1-15. doi: 10.5840/teachphil20103311 Discount indicators such as “but”, “however”, and “although” are distinguished from argument indicators, but help in argument identification.

Jacques Moeschler, “Argumentation and Connectives,” in Interdisciplinary Studies in Pragmatics, Culture and Society , eds. Alessandro Capone and Jacob L. Mey (Cham: Springer, 2016), 653-676.

John Lawrence and Chris Reed, “ Argument Mining: A Survey ,” Computational Linguistics 45 no. 4 (September, 2019), 765-818. doi: 10.1162/coli_a_00364 Review of recent advances and future challenges for extraction of reasoning in natural language.

Frans H. van Eemeren, Peter Houtlosser, and Francisca Snoeck Henkemans, Argumentative Indicators in Discourse (Dordercht: Springer, 2007). Sophisticated study of indicators for arguments, dialectical exchanges, and critical discussion. doi: 10.1007/978-1-4020-6244-5

Wikipedia contributors, “ Argument Map , Wikipedia . History, applications, standards, and references for argument maps used in informal logic.

(Free) Online Tutorials with Diagramming

Carnegie Mellon University, Argument Diagramming v1.5 (Open + Free) . Free online course on argument diagramming using built-in iLogos argument mapping software by Carnegie Mellon's Open Learning Initiative. (With or without registration and two weeks for completion).

Harvard University, Thinker/Analytix: How We Argue . Free online course on critical thinking with argument mapping with Mindmup free diagramming software, videos, and practice exercises. (Requires registration and 3-5 hrs. to complete).

Joe Lau, “ Argument Mapping ” Module A10 on the Critical Thinking Web at the University of Hong Kong. (No registration and an hour to complete).

Send corrections or suggestions to philhelp[at]philosophy.lander.edu Read the disclaimer concerning this page. 1997-2024 Licensed under the Copyleft GFDL license.

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Arguments | Language | Fallacies | Propositions | Syllogisms | Ordinary Language | Symbolic

25 Critical Thinking Examples

Critical thinking is the ability to analyze information and make reasoned decisions. It involves suspended judgment, open-mindedness, and clarity of thought.

It involves considering different viewpoints and weighing evidence carefully. It is essential for solving complex problems and making good decisions.

People who think critically are able to see the world in a more nuanced way and understand the interconnectedness of things. They are also better able to adapt to change and handle uncertainty.

In today’s fast-paced world, the ability to think critically is more important than ever and necessary for students and employees alike.

Critical Thinking Examples

1. identifying strengths and weaknesses.

Critical thinkers don’t just take things at face value. They stand back and contemplate the potential strengths and weaknesses of something and then make a decision after contemplation.

This helps you to avoid excessive bias and identify possible problems ahead of time.

For example, a boxer about to get in the ring will likely need to evaluate the strengths and weaknesses of his opponent. He might learn that his opponent’s left hook is very strong, but his opponent also gets tired after the third round. With this knowledge, he can go into the bout with strong defenses in the first three rounds before going on the offense.

Here, the boxer’s critical thinking skills will help him win his match.

2. Creating a Hypothesis based on Limited Data

When scientists set out to test a new theory, they first need to develop a hypothesis. This is an educated guess about how things work, based on what is already known.

Once a hypothesis has been developed, experiments can be designed to test it.

However, sometimes scientists may find themselves working with limited data. In such cases, they may need to make some assumptions in order to form a hypothesis.

For example, if they are studying a phenomenon that occurs infrequently, they may need to extrapolate from the data they do have in order to form a hypothesis.

Here, the scientist is engaged in critical thinking: they use the limited data to come up with a tentative judgment.

3. Moderating a Debate

A debate moderator needs to have strong critical thinking skills. They need to use objective evaluations, analysis, and critique to keep the discussion on track and ensure that all sides are heard fairly.

This means being able to identify when a point has been made sufficiently, or when someone is beginning to veer off topic and being able to direct the conversation accordingly.

Similarly, they need to be able to assess each argument objectively and consider its merits, rather than getting caught up in the emotion of the debate. If someone is using an unfair point or one that is not factual, the moderator needs to be switched on and identify this.

By remaining calm and impartial, the moderator can help to ensure that a debate is productive and respectful.

4. Judging and Adjudicating

A judge or adjudicator needs to weigh the evidence and make a determination based on the facts.

This requires the adjudicator to be able to try to see both sides of an argument. They need the ability to see past personal biases and to critically evaluate the credibility of all sides.

In addition, judges and adjudicators must be able to think quickly and make sound decisions in the face of complex issues.

For example, if you were to be adjudicating the above debate, you need to hear both sides of the argument and then decide who won. It’s your job to evaluate, see strengths and weaknesses in arguments, and come to a conclusion.

5. Grading an Essay

Teachers need critical thinking skills when grading essays so that they can effectively assess the quality of the writing. By critically analyzing the essay, teachers can identify any errors or weaknesses in the argument.

Furthermore, they can also determine whether the essay meets the required standards for the assignment. Even a very well-written essay may deserve a lower grade if the essay doesn’t directly answer the essay question.

A teacher needs to be able to read an essay and understand not only what the student is trying to say, but also how well they are making their argument. Are they using evidence effectively? Are they drawing valid conclusions? A teacher needs to be able to evaluate an essay holistically in order to give a fair grade.

In order to properly evaluate an essay, teachers need to be able to think critically about the writing. Only then can they provide an accurate assessment of the work.

6. Active Reading

Active reading is a skill that requires the reader to be engaged with the text in order to fully understand it. This means not only being able to read the words on the page, but also being able to interpret the meaning behind them.

In order to do this, active readers need to have good critical thinking skills.

They need to be able to ask questions about the text and look for evidence to support their answers. Additionally, active readers need to be able to make connections between the text and their own experiences.

Active reading leads to better comprehension and retention of information.

7. Deciding Whether or Not to Believe Something

When trying to determine whether or not to believe something, you’re engaging in critical thinking.

For example, you might need to consider the source of the information. If the information comes from a reliable source, such as a reputable news organization or a trusted friend, then it is more likely to be accurate.

However, if the source is less reliable, such as an anonymous website or a person with a known bias, then the information should be viewed with more skepticism.

In addition, it is important to consider the evidence that is being presented. If the evidence is well-supported and logically presented, then it is more likely to be true. However, if the evidence is weak or relies on fallacious reasoning, then the claim is less likely to be true.

8. Determining the Best Solution to a Situation

Determining the best solution to a problem generally requires you to critique the different options. There are often many different factors to consider, and it can be difficult to know where to start.

However, there are some general guidelines that can help to make the process a little easier.

For example, if you have a few possible solutions to the problem, it is important to weigh the pros and cons of each one. Consider both the short-term and long-term effects of each option before making a decision.

Furthermore, it is important to be aware of your own biases. Be sure to consider all of the options objectively, without letting your personal preferences get in the way.

9. Giving Formative Feedback

Formative feedback is feedback that you give to someone part-way through a learning experience. To do this, you need to think critically.

For example, one thing you need to do is see where the student’s strengths and weaknesses like. Perhaps the student is doing extremely well at a task, so your feedback might be that they should try to extend themselves by adding more complexity to the task.

Or, perhaps the student is struggling, so you suggest to them that they approach the learning experience from a different angle.

10. Giving Summative Feedback

Summative feedback occurs at the end of a learning scenario. For example, the written feedback at the end of an essay or on a report card is summative.

When providing summative feedback, it is important to take a step back and consider the situation from multiple perspectives. What are areas for improvement and where exactly might the student have missed some key points? How could the student have done better?

Asking yourself these questions is all part of the process of giving feedback, and they can all be considered examples of critical thinking. You’re literally critiquing the student’s work and identifying opportunities for improvement.

11. Evaluating Evidence

When evaluating evidence, critical thinkers take a step back and look at the bigger picture. They consider all of the available information and weigh it up. They look at logical flaws, the reliability of the evidence, and its validity.

This process allows them to arrive at a conclusion that is based on sound reasoning, rather than emotion or personal bias.

For example, when a social scientist looks at the evidence from his study, he needs to evaluate whether the data was corrupted and ensure the methodology was sound in order to determine if the evidence is valuable or not.

12. Media Literacy

Media literacy seems to be in short supply these days. Too many people take information off the internet or television and just assume it is true.

A person with media literacy, however, will not just trust what they see and read. Instead, they look at the data and weigh up the evidence. They will see if there was a sound study to back up claims. They will see if there is bias in the media source and whether it’s just following an ideological line.

Furthermore, they will make sure they seek out trustworthy media sources. These are not just media sources you like or that confirm your own point of view. They need to be sources that do their own research, find solid data, and don’t pursue one blind agenda.

13. Asking your Own Questions

Asking your own questions is an important part of critical thinking. When you ask questions, you are forcing yourself to think more deeply about the information you are considering.

Asking questions also allows you to gather more information from others who may have different perspectives.

This helps you to better understand the issue and to come up with your own conclusions.

So, often at schools, we give students a list of questions to ask about something in order to dig deeper into it. For example, in a book review lesson, the teacher might give a list of questions to ask about the book’s characters and plot.

14. Conducting Rigorous Research

Research is a process of inquiry that encompasses the gathering of data, interpretation of findings, and communication of results. The researcher needs to engage in critical thinking throughout the process, but most importantly, when designing their methodology.

Research can be done through a variety of methods, such as experiments, surveys, interviews, and observations. Each method has strengths and weaknesses.

Once the data has been collected, it must be analyzed and interpreted. This is often done through statistical methods or qualitative analysis.

Research is an essential tool for discovering new knowledge and for solving problems, but researchers need to think critically about how valid and reliable their data truly is.

15. Examining your own Beliefs and Prejudices

It’s important to examine your own beliefs and prejudices in order to ensure that they are fair and accurate. People who don’t examine their own beliefs have not truly critically examined their lives.

One way to do this is to take the time to consider why you believe what you do. What experiences have you had that have led you to this belief? Are there other ways to interpret these experiences? It’s also important to be aware of the potential for confirmation bias , which is when we seek out information that confirms our existing beliefs, while ignoring information that contradicts them.

This can lead us to hold onto inaccurate or unfair beliefs even when presented with evidence to the contrary.

To avoid this, it’s important to seek out diverse perspectives, and to be open-minded when considering new information. By taking these steps, you can help ensure that your beliefs are fair and accurate.

16. Looking at a Situation from Multiple Perspectives

One of the most important critical thinking skills that you can learn in life is how to look at a situation from multiple perspectives.

Being able to see things from different angles can help you to understand complex issues, spot potential problems, and find creative solutions. It can also help you to build better relationships, as you will be able to see where others are coming from and find common ground.

There are a few simple techniques that you can use to develop this skill.

First, try to imagine how someone else would feel in the same situation.

Second, put yourself in their shoes and try to see things from their point of view.

Finally, ask yourself what other factors may be influencing their perspective. By taking the time to view things from multiple angles, you will be better prepared to deal with whatever life throws your way.

17. Considering Implications before Taking Action

When faced with a difficult decision, it is important to consider the implications of each possible action before settling on a course of action.

This is because the consequences of our actions can be far-reaching and often unforeseen.

For example, a seemingly small decision like whether to attend a party or not might have much larger implications. If we decide to go to the party, we might miss an important deadline at work.

However, if we stay home, we might miss out on an opportunity to meet new people and make valuable connections.

In either case, our choice can have a significant impact on our lives.

Fortunately, critical thinking can help people to make well-informed decisions that could have a positive impact on their lives.

For example, you might have to weight up the pros and cons of attending the party and identify potential downsides, like whether you might be in a car with an impaired driver, and whether the party is really worth losing your job.

Having weighed up the potential outcomes, you can make a more rational and informed decision.

18. Reflective Practice

Reflecting on your actions is an important part of critical thinking. When you take the time to reflect, you are able to step back and examine your choices and their consequences more objectively.

This allows you to learn from your mistakes and make better decisions in the future.

In order to reflect effectively, it is important to be honest with yourself and open to learning new things. You must also be willing to question your own beliefs and assumptions. By taking these steps, you can develop the critical thinking skills that are essential for making sound decisions next time.

This will also, fortunately, help you to constantly improve upon yourself.

19. Problem-Solving

Problem-solving requires the ability to think critically in order to accurately assess a situation and determine the best course of action.

This means being able to identify the root cause of a problem , as well as any potential obstacles that may stand in the way of a solution. It also involves breaking down a problem into smaller, more manageable pieces in order to more easily find a workable solution.

In addition, critical thinking skills also require the ability to think creatively in order to come up with original solutions to these problems.

Go Deeper: Problem-Solving Examples

20. Brainstorming New Solutions

When brainstorming new solutions , critical thinking skills are essential in order to generate fresh ideas and identify potential issues.

For example, the ability to identify the problems with the last solution you tried is important in order to come up with better solutions this time. Similarly, analytical thinking is necessary in order to evaluate the feasibility of each idea. Furthermore, it is also necessary to consider different perspectives and adapt to changing circumstances.

By utilizing all of these critical thinking skills, it will be possible to develop innovative solutions that are both practical and effective.

21. Reserving Judgment

A key part of critical thinking is reserving judgment. This means that we should not rush to conclusions, but instead take the time to consider all the evidence before making up our minds.

By reserving judgment, we can avoid making premature decisions that we might later regret. We can also avoid falling victim to confirmation bias, which is the tendency to only pay attention to information that supports our existing beliefs.

Instead, by keeping an open mind and considering all the evidence, we can make better decisions and reach more accurate conclusions.

22. Identifying Deceit

Critical thinking is an important skill to have in any situation, but it is especially important when trying to identify deceit.

There are a few key things to look for when using critical thinking to identify deceit.

First, pay attention to the person’s body language. Second, listen closely to what the person is saying and look for any inconsistencies. Finally, try to get a sense of the person’s motive – why would they want to deceive you?

Each of these questions helps you to not just take things at their face value. Instead, you’re critiquing the situation and coming to a conclusion using all of your intellect and senses, rather than just believing what you’re told.

23. Being Open-Minded to New Evidence that Contradicts your Beliefs

People with critical thinking skills are more open-minded because they are willing to consider different points of view and evidence.

They also realize that their own beliefs may be wrong and are willing to change their minds if new information is presented.

Similarly, people who are not critical thinkers tend to be close-minded because they fail to critique themselves and challenge their own mindset. This can lead to conflicts, as closed-minded people are not willing to budge on their beliefs even when presented with contradictory evidence.

Critical thinkers, on the other hand, are able to have more productive conversations as they are willing to listen to others and consider different viewpoints. Ultimately, being open-minded and willing to change one’s mind is a sign of intelligence and maturity.

24. Accounting for Bias

We all have biases, based on our individual experiences, perspectives, and beliefs. These can lead us to see the world in a certain way and to interpret information in a way that supports our existing views.

However, if we want to truly understand an issue, it is important to try to put aside our personal biases and look at the evidence objectively.

This is where critical thinking skills come in.

By using critical thinking, we can examine the evidence dispassionately and assess different arguments without letting our own prejudices get in the way. Start by looking at weaknesses and logical flaws in your own thinking.

Play the devil’s advocate.

In this way, you can start to get a more accurate picture of an issue and make more informed decisions.

25. Basing your Beliefs on Logic and Reasoning

In order to lead a successful and fulfilling life, it is important to base your beliefs on logic and reasoning.

This does not mean that you should never believe in something without evidence, but it does mean that you should be thoughtful and intentional about the things that you choose to believe.

One way to ensure that your beliefs are based on logic and reasoning is to seek out reliable sources of information. Another method is to use thought games to follow all your thoughts to their logical conclusions.

By basing your beliefs on logic and reasoning, you will be more likely to make sound decisions, and less likely to be swayed by emotions or misinformation.

Critical thinking is an important skill for anyone who wants to be successful in the modern world. It allows us to evaluate information and make reasoned decisions, rather than simply accepting things at face value. 

Thus, employers often want to employ people with strong critical thinking skills. These employees will be able to solve problems by themselves and identify ways to improve the workplace. They will be able to push back against bad decisions and use their own minds to make good decisions.

Furthermore, critical thinking skills are important for students. This is because they need to be able to evaluate information and think through problems with a critical mindset in order to learn and improve.

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How to Write a Critical Thinking Essay: Examples & Outline

Critical thinking is the process of evaluating and analyzing information. People who use it in everyday life are open to different opinions. They rely on reason and logic when making conclusions about certain issues.

Our specialists will write a custom essay specially for you!

A critical thinking essay shows how your thoughts change as you research your topic. This type of assignment encourages you to learn rather than prove what you already know. In this article, our custom writing team will:

• explain how to write an excellent critical essay;
• introduce 30 great essay topics;
• provide a critical thinking essay example in MLA format.
• 🤔 Critical Thinking Essay Definition
• 💡 Topics & Questions
• ✅ Step-by-Step Guide
• 📑 Essay Example & Formatting Tips
• ✍️ Bonus Tips

🔍 References

🤔 what is a critical thinking essay.

A critical thinking essay is a paper that analyses an issue and reflects on it in order to develop an action plan. Unlike other essay types, it starts with a question instead of a thesis. It helps you develop a broader perspective on a specific issue. Critical writing aims at improving your analytical skills and encourages asking questions.

Critical Thinking in Writing: Importance

When we talk about critical thinking and writing, the word “critical” doesn’t have any negative connotation. It simply implies thorough investigation, evaluation, and analysis of information. Critical thinking allows students to make objective conclusions and present their ideas logically. It also helps them avoid errors in reasoning.

The Basics: 8 Steps of Critical Thinking Psychology

Did you know that the critical thinking process consists of 8 steps? We’ve listed them below. You can try to implement them in your everyday life:

It’s possible that fallacies will occur during the process of critical thinking. Fallacies are errors in reasoning that fail to provide a reasonable conclusion. Here are some common types of fallacies:

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• Generalization . It happens when you apply generally factual statements to a specific case.
• Ambiguity . It occurs when the arguments are not clear and are not supported by evidence.
• Appeal to authority . This mistake happens when you claim the statement is valid only because a respected person made it.
• Appeal to emotion . It occurs when you use highly emotive language to convince the audience. Try to stay sensible and rely on the evidence.
• Bifurcation . This mistake occurs when you choose only between two alternatives when more than two exist.
• False analogy . It happens when the examples are poorly connected.

If you want to avoid these mistakes, do the following:

• try not to draw conclusions too quickly,
• be attentive,
• carefully read through all the sources,
• avoid generalizations.

How to Demonstrate Your Critical Thinking in Writing

Critical thinking encourages you to go beyond what you know and study new perspectives. When it comes to demonstrating your critical thinking skills in writing, you can try these strategies:

• Read . Before you start writing an essay, read everything you can find on the subject you are about to cover. Focus on the critical points of your assignment.
• Research . Look up several scholarly sources and study the information in-depth.
• Evaluate . Analyze the sources and the information you’ve gathered. See whether you can disagree with the authors.
• Prove . Explain why you agree or disagree with the authors’ conclusions. Back it up with evidence.

According to Purdue University, logical essay writing is essential when you deal with academic essays. It helps you demonstrate and prove the arguments. Make sure that your paper reaches a logical conclusion.

There are several main concepts related to logic:

If you want your essay to be logical, it’s better to avoid syllogistic fallacies, which happen with certain invalid deductions. If syllogisms are used carelessly, they can lead to false statements and ruin the credibility of your paper.

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💡 Critical Thinking Topics & Questions

An excellent critical thinking essay starts with a question. But how do you formulate it properly? Keep reading to find out.

How to Write Critical Thinking Questions: Examples with Answers

Asking the right questions is at the core of critical thinking. They challenge our beliefs and encourage our interest to learn more.

Here are some examples of model questions that prompt critical thinking:

• What does… mean?
• What would happen if…?
• What are the principles of…?
• Why is… important?
• How does… affect…?
• What do you think causes…?
• How are… and… similar/different?
• How do you explain….?
• What are the implications of…?
• What do we already know about…?

Now, let’s look at some critical thinking questions with the answers. You can use these as a model for your own questions:

Question: What would happen if people with higher income paid more taxes?

• Answer: It would help society to prosper and function better. It would also help people out of poverty. This way, everyone can contribute to the economy.

Question: How does eating healthy benefit you?

• Answer: Healthy eating affects people’s lives in many positive ways. It reduces cancer risk, improves your mood and memory, helps with weight loss and diabetes management, and improves your night sleep.

Critical Thinking Essay Topics

Have you already decided what your essay will be about? If not, feel free to use these essay topic examples as titles for your paper or as inspiration. Make sure to choose a theme that interests you personally:

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• What are the reasons for racism in healthcare ?
• Why is accepting your appearance important?
• Concepts of critical thinking and logical reasoning .
• Nature and spirit in Ralf Waldo Emerson ’s poetry.
• How does technological development affect communication in the modern world?
• Social media effect on adolescents.
• Is the representation of children in popular fiction accurate?
• Domestic violence and its consequences.
• Why is mutual aid important in society?
• How do stereotypes affect the way people think?
• The concept of happiness in different cultures.
• The purpose of environmental art .
• Why do people have the need to be praised ?
• How did antibiotics change medicine and its development?
• Is there a way to combat inequality in sports ?
• Is gun control an effective way of crime prevention?
• How our understanding of love changes through time.
• The use of social media by the older generation.
• Graffiti as a form of modern art .
• Negative health effects of high sugar consumption.
• Why are reality TV shows so popular?
• Why should we eat healthily ?
• How effective and fair is the US judicial system ?
• Reasons of Cirque du Soleil phenomenon.
• How can police brutality be stopped?
• Freedom of speech : does it exist?
• The effects of vaccination misconceptions .
• How to eliminate New Brunswick’s demographic deficit: action plan .
• What makes a good movie ?
• Critical analysis of your favorite book.
• The connection between fashion and identity .
• Taboo topics and how they are discussed in gothic literature .
• Critical thinking essay on the problem of overpopulation .
• Does our lifestyle affect our mental health ?
• The role of self-esteem in preventing eating disorders in children .
• Drug abuse among teenagers.
• Rhetoric on assisted suicide .
• Effects of violent video games on children’s mental health.
• Analyze the effect stress has on the productivity of a team member.
• Discuss the importance of the environmental studies .
• Critical thinking and ethics of happy life.
• The effects of human dignity on the promotion of justice.
• Examine the ethics of advertising the tobacco industry.
• Reasons and possible solutions of research misconduct.
• Implication of parental deployment for children.
• Cultural impact of superheroes on the US culture.
• Examine the positive and negative impact of technology on modern society.
• Critical thinking in literature: examples.
• Analyze the impact of COVID-19 pandemic on economic transformation.
• Benefits and drawbacks of mandatory vaccination .

Haven’t found a suitable essay idea? Try using our topic generator !

✅ How to Write a Critical Thinking Essay Step by Step

Now, let’s focus on planning and writing your critical thinking essay. In this section, you will find an essay outline, examples of thesis statements, and a brief overview of each essay part.

Critical Thinking Essay Outline

In a critical thinking essay, there are two main things to consider: a premise and a conclusion :

• A premise is a statement in the argument that explains the reason or supports a conclusion.
• A conclusion indicates what the argument is trying to prove. Each argument can have only one conclusion.

When it comes to structuring, a critical thinking essay is very similar to any other type of essay. Before you start writing it, make sure you know what to include in it. An outline is very helpful when it comes to structuring a paper.

How to Start a Critical Essay Introduction

An introduction gives readers a general idea of an essay’s contents. When you work on the introduction, imagine that you are drawing a map for the reader. It not only marks the final destination but also explains the route.

An introduction usually has 4 functions:

• It catches the reader’s attention;
• It states the essay’s main argument;
• It provides some general information about the topic;
• It shows the importance of the issue in question.

Here are some strategies that can make the introduction writing easier:

• Give an overview of the essay’s topic.
• Express the main idea.
• Define the main terms.
• Outline the issues that you are going to explore or argue about.
• Explain the methodology and why you used it.
• Write a hook to attract the reader’s attention.

Critical Analysis Thesis Statement & Examples

A thesis statement is an integral part of every essay. It keeps the paper organized and guides both the reader and the writer. A good thesis:

• expresses the conclusion or position on a topic;
• justifies your position or opinion with reasoning;
• conveys one idea;
• serves as the essay’s map.

To have a clearer understanding of what a good thesis is, let’s have a look at these examples.

The statement on the left is too general and doesn’t provide any reasoning. The one on the right narrows down the group of people to office workers and specifies the benefits of exercising.

Critical Thinking Essay Body Paragraphs: How to Write

Body paragraphs are the part of the essay where you discuss all the ideas and arguments. In a critical thinking essay, arguments are especially important. When you develop them, make sure that they:

• reflect the key theme;
• are supported by the sources/citations/examples.

Using counter-arguments is also effective. It shows that you acknowledge different points of view and are not easily persuaded.

In addition to your arguments, it’s essential to present the evidence . Demonstrate your critical thinking skills by analyzing each source and stating whether the author’s position is valid.

To make your essay logically flow, you may use transitions such as:

• Accordingly,
• For instance,
• On the contrary,
• In conclusion,
• Not only… but also,
• Undoubtedly.

How to Write a Critical Thinking Conclusion

In a critical thinking essay, the notion of “conclusion” is tightly connected to the one used in logic. A logical conclusion is a statement that specifies the author’s point of view or what the essay argues about. Each argument can have only one logical conclusion.

Sometimes they can be confused with premises. Remember that premises serve as a support for the conclusion. Unlike the conclusion, there can be several premises in a single argument. You can learn more about these concepts from the article on a logical consequence by Stanford Encyclopedia of Philosophy.

Keeping this in mind, have a look at these tips for finishing your essay:

• Briefly sum up the main points.
• Provide a final thought on the issue.
• Suggest some results or consequences.
• Finish up with a call for action.

📑 Critical Thinking Essays Examples & Formatting Tips

Formatting is another crucial aspect of every formal paper. MLA and APA are two popular formats when it comes to academic writing. They share some similarities but overall are still two different styles. Here are critical essay format guidelines that you can use as a reference:

Finally, you’re welcome to check out a full critical essay sample in MLA format. Download the PDF file below:

Currently, the importance of critical thinking has grown rapidly because technological progress has led to expanded access to various content-making platforms: websites, online news agencies, and podcasts with, often, low-quality information. Fake news is used to achieve political and financial aims, targeting people with low news literacy. However, individuals can stop spreading fallacies by detecting false agendas with the help of a skeptical attitude.

✍️ Bonus Tips: Critical Thinking and Writing Exercises

Critical thinking is a process different from our regular thinking. When we think in everyday life, we do it automatically. However, when we’re thinking critically, we do it deliberately.

So how do we get better at this type of thinking and make it a habit? These useful tips will help you do it:

• Ask basic questions. Sometimes, while we are doing research, the explanation becomes too complicated. To avoid it, always go back to your topic.
• Question basic assumptions. When thinking through a problem, ask yourself whether your beliefs can be wrong. Keep an open mind while researching your question.
• Think for yourself. Avoid getting carried away in the research and buying into other people’s opinions.
• Reverse things. Sometimes it seems obvious that one thing causes another, but what if it’s the other way around?
• Evaluate existing evidence. If you work with sources, it’s crucial to evaluate and question them.

Another way to improve your reasoning skills is to do critical thinking exercises. Here are some of them:

Thanks for reading through our article! We hope that you found it helpful and learned some new information. If you liked it, feel free to share it with your friends.

Further reading:

• Critical Writing: Examples & Brilliant Tips [2024]
• How to Write a Rhetorical Analysis Essay: Outline, Steps, & Examples
• How to Write an Analysis Essay: Examples + Writing Guide
• How to Write a Critique Paper: Tips + Critique Essay Examples
• How to Write a Literary Analysis Essay Step by Step
• Critical Thinking and Writing: University of Kent
• Steps to Critical Thinking: Rasmussen University
• 3 Simple Habits to Improve Your Critical Thinking: Harvard Business Review
• In-Class Writing Exercises: University of North Carolina at Chapel Hill
• Demonstrating Critical Thinking in Writing: University of South Australia
• 15 Questions that Teachers and Parents Can Ask Kids to Encourage Critical Thinking: The Hun School
• Questions to Provoke Critical Thinking: Brown University
• How to Write a College Critical Thinking Essay: Seattle PI
• Introductions: What They Do: Royal Literary Fund
• Thesis Statements: Arizona State University
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Academic Writing: Critical Thinking & Writing

• Academic Writing
• Planning your writing
• Structuring your assignment
• Critical Thinking & Writing
• Building an argument
• Reflective Writing
• Summarising, paraphrasing and quoting

Critical Thinking

One of the most important features of studying at university is the expectation that you will engage in thinking critically about your subject area. 

Critical thinking involves asking meaningful questions concerning the information, ideas, beliefs, and arguments that you will encounter. It requires you to approach your studies with a curious, open mind, discard preconceptions, and interrogate received knowledge and established practices.

Critical thinking is key to successfully expressing your individuality as an independent learner and thinker in an academic context. It is also a valuable life skill. 

Critical thinking enables you to:

• Evaluate information, its validity and significance in a particular context.
• Analyse and interpret evidence and data in response to a line of enquiry.
• Weigh-up alternative explanations and arguments.
• Develop your own evidence-based and well-reasoned arguments.
• Develop well-informed viewpoints.
• Formulate your own independent, justifiable ideas.
• Actively engage with the wider scholarship of your academic community.

Writing Critically

Being able to demonstrate and communicate critical thinking in your written assignments through critical writing is key to achieving academic success. 

Critical writing can be distinguished from descriptive writing which is concerned with conveying information rather than interrogating information. Understanding the difference between these two styles of academic writing and when to use them is important.

The balance between descriptive writing and critical writing will vary depending on the nature of the assignment and the level of your studies. Some level of descriptive writing is generally necessary to support critical writing. More sophisticated criticality is generally required at higher levels of study with less descriptive content. You will continue to develop your critical writing skills as you progress through your course.

Descriptive Writing and Critical Writing

• Descriptive Writing
• Critical Writing
• Examples of Critical Writing

Descriptive writing demonstrates the knowledge you have of a subject, and your knowledge of what other people say about that subject.  Descriptive writing often responds to questions framed as ‘what’ , ‘where’ , ‘who’ and ‘when’ .

Descriptive writing might include the following:

• Description of what something is or what it is about (an account, facts, observable features, details): a topic, problem, situation, or context of the subject under discussion.
• Description of where it takes place (setting and context), who is involved and when it occurs. 
• Re-statement or summary of what others say about the topic.
• Background facts and information for a discussion.

Description usually comes before critical content so that the reader can understand the topic you are critically engaging with.

Critical writing requires you to apply interpretation, analysis, and evaluation to the descriptions you have provided. Critical writing often responds to questions framed as ‘how’ or ‘why’ . Often, critical writing will require you to build an argument which is supported by evidence. 

Some indicators of critical writing are:

• Investigation of positive and negative perspectives on ideas
• Supporting ideas and arguments with evidence, which might include authoritative sources, data, statistics, research, theories, and quotations
• Balanced, unbiased appraisal of arguments and counterarguments/alternative viewpoints
• Honest recognition of the limitations of an argument and supporting evidence
• Plausible, rational, convincing, and well-reasoned conclusions 

Critical writing might include the following:

• Applying an idea or theory to different situations or relate theory to practice. Does the idea work/not work in practice? Is there a factor that makes it work/not work? For example: 'Smith's (2008) theory on teamwork is effective in the workplace because it allows a diverse group of people with different skills to work effectively'.
• Justifying why a process or policy exists. For example: 'It was necessary for the nurse to check the patient's handover notes because...'
• Proposing an alternative approach to view and act on situations. For example: 'By adopting a Freirian approach, we could view the student as a collaborator in our teaching and learning'. Or: 'If we had followed the NMC guidelines we could have made the patient feel calm and relaxed during the consultation'.
• Discussion of the strengths and weaknesses of an idea/theory/policy. Why does this idea/theory/policy work? Or why does this idea not work? For example: 'Although Smith's (2008) theory on teamwork is useful for large teams, there are challenges in applying this theory to teams who work remotely'. 
• Discussion of how the idea links to other ideas in the field (synthesis). For example: 'the user experience of parks can be greatly enhanced by examining Donnelly's (2009) customer service model used in retail’.
• Discussion of how the idea compares and contrasts with other ideas/theories. For example: ‘The approach advocated by the NMC differs in comparison because of factor A and factor C’.
• Discussion of the ‘’up-to-datedness” and relevance of an idea/theory/policy (its currency). For example: 'although this approach was successful in supporting the local community, Smith's model does not accommodate the needs of a modern global economy'. 
• Evaluating an idea/theory/policy by providing evidence-informed judgment. For example: 'Therefore, May's delivery model should be discontinued as it has created significant issues for both customers and staff (Ransom, 2018)'.
• Creating new perspectives or arguments based on knowledge. For example: 'to create strong and efficient buildings, we will look to the designs provided by nature. The designs of the Sydney Opera House are based on the segments of an orange (Cook, 2019)'. 

Further Reading

• << Previous: Structuring your assignment
• Next: Building an argument >>
• Last Updated: Apr 12, 2024 3:27 PM
• URL: https://libguides.uos.ac.uk/academic-writing

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Why is critical thinking important?

What do lawyers, accountants, teachers, and doctors all have in common?

What is critical thinking?

The Oxford English Dictionary defines critical thinking as “The objective, systematic, and rational analysis and evaluation of factual evidence in order to form a judgment on a subject, issue, etc.” Critical thinking involves the use of logic and reasoning to evaluate available facts and/or evidence to come to a conclusion about a certain subject or topic. We use critical thinking every day, from decision-making to problem-solving, in addition to thinking critically in an academic context!

Why is critical thinking important for academic success?

You may be asking “why is critical thinking important for students?” Critical thinking appears in a diverse set of disciplines and impacts students’ learning every day, regardless of major.

Critical thinking skills are often associated with the value of studying the humanities. In majors such as English, students will be presented with a certain text—whether it’s a novel, short story, essay, or even film—and will have to use textual evidence to make an argument and then defend their argument about what they’ve read. However, the importance of critical thinking does not only apply to the humanities. In the social sciences, an economics major , for example, will use what they’ve learned to figure out solutions to issues as varied as land and other natural resource use, to how much people should work, to how to develop human capital through education. Problem-solving and critical thinking go hand in hand. Biology is a popular major within LAS, and graduates of the biology program often pursue careers in the medical sciences. Doctors use critical thinking every day, tapping into the knowledge they acquired from studying the biological sciences to diagnose and treat different diseases and ailments.

Students in the College of LAS take many courses that require critical thinking before they graduate. You may be asked in an Economics class to use statistical data analysis to evaluate the impact on home improvement spending when the Fed increases interest rates (read more about real-world experience with Datathon ). If you’ve ever been asked “How often do you think about the Roman Empire?”, you may find yourself thinking about the Roman Empire more than you thought—maybe in an English course, where you’ll use text from Shakespeare’s Antony and Cleopatra to make an argument about Roman imperial desire.  No matter what the context is, critical thinking will be involved in your academic life and can take form in many different ways.

The benefits of critical thinking in everyday life

Building better communication.

One of the most important life skills that students learn as early as elementary school is how to give a presentation. Many classes require students to give presentations, because being well-spoken is a key skill in effective communication. This is where critical thinking benefits come into play: using the skills you’ve learned, you’ll be able to gather the information needed for your presentation, narrow down what information is most relevant, and communicate it in an engaging way. 

Typically, the first step in creating a presentation is choosing a topic. For example, your professor might assign a presentation on the Gilded Age and provide a list of figures from the 1870s—1890s to choose from. You’ll use your critical thinking skills to narrow down your choices. You may ask yourself:

• What figure am I most familiar with?
• Who am I most interested in? 
• Will I have to do additional research? 

After choosing your topic, your professor will usually ask a guiding question to help you form a thesis: an argument that is backed up with evidence. Critical thinking benefits this process by allowing you to focus on the information that is most relevant in support of your argument. By focusing on the strongest evidence, you will communicate your thesis clearly.

Finally, once you’ve finished gathering information, you will begin putting your presentation together. Creating a presentation requires a balance of text and visuals. Graphs and tables are popular visuals in STEM-based projects, but digital images and graphics are effective as well. Critical thinking benefits this process because the right images and visuals create a more dynamic experience for the audience, giving them the opportunity to engage with the material.

Presentation skills go beyond the classroom. Students at the University of Illinois will often participate in summer internships to get professional experience before graduation. Many summer interns are required to present about their experience and what they learned at the end of the internship. Jobs frequently also require employees to create presentations of some kind—whether it’s an advertising pitch to win an account from a potential client, or quarterly reporting, giving a presentation is a life skill that directly relates to critical thinking. 

Fostering independence and confidence

An important life skill many people start learning as college students and then finessing once they enter the “adult world” is how to budget. There will be many different expenses to keep track of, including rent, bills, car payments, and groceries, just to name a few! After developing your critical thinking skills, you’ll put them to use to consider your salary and budget your expenses accordingly. Here’s an example:

• You earn a salary of $75,000 a year. Assume all amounts are before taxes.
• 1,800 x 12 = 21,600
• 75,000 – 21,600 = 53,400
• This leaves you with $53,400
• 320 x 12 = 3,840 a year
• 53,400-3,840= 49,560
• 726 x 12 = 8,712
• 49,560 – 8,712= 40,848
• You’re left with $40,848 for miscellaneous expenses. You use your critical thinking skills to decide what to do with your $40,848. You think ahead towards your retirement and decide to put $500 a month into a Roth IRA, leaving $34,848. Since you love coffee, you try to figure out if you can afford a daily coffee run. On average, a cup of coffee will cost you $7. 7 x 365 = $2,555 a year for coffee. 34,848 – 2,555 = 32,293
• You have $32,293 left. You will use your critical thinking skills to figure out how much you would want to put into savings, how much you want to save to treat yourself from time to time, and how much you want to put aside for emergency funds. With the benefits of critical thinking, you will be well-equipped to budget your lifestyle once you enter the working world.

Enhancing decision-making skills

Choosing the right university for you.

One of the biggest decisions you’ll make in your life is what college or university to go to. There are many factors to consider when making this decision, and critical thinking importance will come into play when determining these factors.

Many high school seniors apply to colleges with the hope of being accepted into a certain program, whether it’s biology, psychology, political science, English, or something else entirely. Some students apply with certain schools in mind due to overall rankings. Students also consider the campus a school is set in. While some universities such as the University of Illinois are nestled within college towns, New York University is right in Manhattan, in a big city setting. Some students dream of going to large universities, and other students prefer smaller schools. The diversity of a university’s student body is also a key consideration. For many 17- and 18-year-olds, college is a time to meet peers from diverse racial and socio-economic backgrounds and learn about life experiences different than one’s own.

With all these factors in mind, you’ll use critical thinking to decide which are most important to you—and which school is the right fit for you.

Develop your critical thinking skills at the University of Illinois

At the University of Illinois, not only will you learn how to think critically, but you will put critical thinking into practice. In the College of LAS, you can choose from 70+ majors where you will learn the importance and benefits of critical thinking skills. The College of Liberal Arts & Sciences at U of I offers a wide range of undergraduate and graduate programs in life, physical, and mathematical sciences; humanities; and social and behavioral sciences. No matter which program you choose, you will develop critical thinking skills as you go through your courses in the major of your choice. And in those courses, the first question your professors may ask you is, “What is the goal of critical thinking?” You will be able to respond with confidence that the goal of critical thinking is to help shape people into more informed, more thoughtful members of society.

With such a vast representation of disciplines, an education in the College of LAS will prepare you for a career where you will apply critical thinking skills to real life, both in and outside of the classroom, from your undergraduate experience to your professional career. If you’re interested in becoming a part of a diverse set of students and developing skills for lifelong success, apply to LAS today!

Read more first-hand stories from our amazing students at the LAS Insider blog .

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Critical thinking definition

Critical thinking, as described by Oxford Languages, is the objective analysis and evaluation of an issue in order to form a judgement.

Active and skillful approach, evaluation, assessment, synthesis, and/or evaluation of information obtained from, or made by, observation, knowledge, reflection, acumen or conversation, as a guide to belief and action, requires the critical thinking process, which is why it's often used in education and academics.

Some even may view it as a backbone of modern thought.

However, it's a skill, and skills must be trained and encouraged to be used at its full potential.

People turn up to various approaches in improving their critical thinking, like:

• Developing technical and problem-solving skills
• Engaging in more active listening
• Actively questioning their assumptions and beliefs
• Seeking out more diversity of thought
• Opening up their curiosity in an intellectual way etc.

Is critical thinking useful in writing?

Critical thinking can help in planning your paper and making it more concise, but it's not obvious at first. We carefully pinpointed some the questions you should ask yourself when boosting critical thinking in writing:

• What information should be included?
• Which information resources should the author look to?
• What degree of technical knowledge should the report assume its audience has?
• What is the most effective way to show information?
• How should the report be organized?
• How should it be designed?
• What tone and level of language difficulty should the document have?

Usage of critical thinking comes down not only to the outline of your paper, it also begs the question: How can we use critical thinking solving problems in our writing's topic?

Let's say, you have a Powerpoint on how critical thinking can reduce poverty in the United States. You'll primarily have to define critical thinking for the viewers, as well as use a lot of critical thinking questions and synonyms to get them to be familiar with your methods and start the thinking process behind it.

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