relationship between logic critical thinking

Logical Thinking vs Critical Thinking: Comparing and Breaking Down the Differences

Many people use the terms logical thinking and critical thinking interchangeably; however, there are subtle differences between the two. 

On the one hand, logical thinking is pretty straightforward. 

It’s a method of thinking that uses logic or analysis of information to evaluate a situation. 

Critical thinking, on the other hand, is a process that utilizes logical thinking but takes it a step further. 

To think critically is to question the face value, connect the dots, and seek the truth. 

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What Is Logical Thinking?

Logical thinking involves thinking in a disciplined manner. Everyday we come across situations where we need to determine what is going on and why. 

The process may be as simple as evaluating product information or as complex as embracing (or not) an opportunity that requires a significant life change. 

You probably don’t toss a coin in the air to make important life decisions. Instead, you analyze the facts and use reason to help you make good choices.

Let’s look at the example of a job opportunity in another state. 

It might sound like a fantastic career move, but applying a big of logical thinking before you take the leap can mean the difference between a positive outcome and one you’ll regret. 

• What will it cost you to move? 
• Is the cost of living higher in the new city than where you currently live? 
• What is the crime rate like?
• Is the city governed well?
• What about increased time commitment? Work load? 

Observing and analyzing all the facts and scenarios can help you come to a well reasoned conclusion—and that is logical thinking in a nutshell. 

What Is Critical Thinking?

Critical thinking is closely related to logical thinking. It involves the questioning of data, beliefs, and information to make a reasoned conclusion or decision. 

It’s the ability to take various ideas or pieces of information and make connections between them. 

Using the example above, if you were offered a great job opportunity in another city, you still consider all the same factors previously mentioned.

However, with critical thinking, you move beyond hard facts and ask things like:

• How do your kids feel about changing schools?
• Do the opportunities offered outweigh the disadvantages? 
• Why would the new job be better than what you have now?

Let me put it another way by posing another question:

Do you take whatever you’re presented with and assume that it is just so? Precisely as described and portrayed?

Likewise, that new career may look good on paper, but what about the invisible factors that go beyond the facts and figures in your contract?

Seeking truthful answers to those not-so-black-and-white questions is the definition of critical thinking. 

Logical Reasoning vs Critical Thinking: The Relationship Between the Two

As touched on earlier, logical reasoning involves assessing facts to arrive at a valid conclusion.

With no assumptions being made and emotions removed from the equation, the principles of logic can be used much like you would use a math formula to solve a problem. 

There’s a clear distinction between right and wrong. 

In theory, given the same situation with the exact same information, two different people would arrive at the same conclusion.

On the other hand, critical thinking involves questioning the answers and information you get. 

For instance, you might investigate if the person providing the information has a vested interest in a particular outcome and how that influences the information provided. 

You may also ask yourself if you’re missing information or how reliable your source is. 

There’s definitely a blurred line between logical reasoning and critical thinking, but the connection is this:

Logical thought processes involve critical thinking, and using critical thinking skills involves a bit of logic.

Is Questioning and Reasoning the Same Thing?

Reasoning involves the use of both deductive and inductive processes to reach a conclusion. 

“Deductive” is just a fancy word for following a fact (or idea, statement, and so on) to its logical conclusion. 

“Inductive” reasoning provides room for one’s own experiences and observations along the pathway to a conclusion. 

In short, to reason is to use logical thinking to evaluate and determine then explain your approach to a problem.

Questioning, on the other hand, is different than—though part of—reaching a reasoned conclusion. 

Questions help you dig up more information so you can reason effectively to determine the truth of a matter. 

So essentially, questioning is just one part of reasoning. They are not one in the same. 

How to Strengthen Your Critical Thinking Skills

When a situation calls for forming your own opinion or making a decision, it’s important to know how to think as opposed to being told what to think.  

I t’s all too easy to be swayed by popular opinion. 

That being the case, it’s important to pause amid the clamor and think both logically and critically to ensure you know exactly what you believe instead of simply following the crowd. 

Doing so also equips you to make choices based on your personal values, beliefs, and goals.

You can strengthen your critical thinking skills by thinking through situations, one step at a time. 

You’ll gain knowledge as you gain real-world experience, but that database of knowledge isn’t going to serve up a solution for every problem you face. 

That’s where the ability to think critically becomes so important. 

Practice asking questions while questioning assumptions. 

(Here’s a list of fun critical thinking questions that are more lighthearted if you need help getting started.)

Pay attention to the processes you use to analyze information and reach conclusions.

Take time to break down any barriers to critical thinking that may exist.

Today, we are spoon-fed so much information on social media and the internet that thinking sometimes seems irrelevant, but oh what a dangerous path that is. 

If you don’t already, begin questioning the things you read and hear. 

Do your own research. 

Question commonly accepted facts. 

Analyze the information you receive and from whose mouth you receive it from.

Of course, not every little situation requires an in-depth analysis or use of critical thinking skills. 

Family and friends won’t appreciate being questioned about everything they say or do. 

Still, judicial use of logical thinking and critical thinking skills can help you become more informed about what is true and what is not.

If you want to help your teen sharpen those skills, check out our award-winning curriculum, Philosophy Adventure .

will your children recognize truth?

About the author.

Jordan Mitchell

Introduction to Logic and Critical Thinking

(10 reviews)

Matthew Van Cleave, Lansing Community College

Copyright Year: 2016

Publisher: Matthew J. Van Cleave

Language: English

Formats Available

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Learn more about reviews.

Reviewed by "yusef" Alexander Hayes, Professor, North Shore Community College on 6/9/21

Formal and informal reasoning, argument structure, and fallacies are covered comprehensively, meeting the author's goal of both depth and succinctness. read more

Comprehensiveness rating: 5 see less

Formal and informal reasoning, argument structure, and fallacies are covered comprehensively, meeting the author's goal of both depth and succinctness.

Content Accuracy rating: 5

The book is accurate.

Relevance/Longevity rating: 5

While many modern examples are used, and they are helpful, they are not necessarily needed. The usefulness of logical principles and skills have proved themselves, and this text presents them clearly with many examples.

Clarity rating: 5

It is obvious that the author cares about their subject, audience, and students. The text is comprehensible and interesting.

Consistency rating: 5

The format is easy to understand and is consistent in framing.

Modularity rating: 5

This text would be easy to adapt.

Organization/Structure/Flow rating: 5

The organization is excellent, my one suggestion would be a concluding chapter.

Interface rating: 5

I accessed the PDF version and it would be easy to work with.

Grammatical Errors rating: 5

The writing is excellent.

Cultural Relevance rating: 5

This is not an offensive text.

Reviewed by Susan Rottmann, Part-time Lecturer, University of Southern Maine on 3/2/21

I reviewed this book for a course titled "Creative and Critical Inquiry into Modern Life." It won't meet all my needs for that course, but I haven't yet found a book that would. I wanted to review this one because it states in the preface that it... read more

Comprehensiveness rating: 4 see less

I reviewed this book for a course titled "Creative and Critical Inquiry into Modern Life." It won't meet all my needs for that course, but I haven't yet found a book that would. I wanted to review this one because it states in the preface that it fits better for a general critical thinking course than for a true logic course. I'm not sure that I'd agree. I have been using Browne and Keeley's "Asking the Right Questions: A Guide to Critical Thinking," and I think that book is a better introduction to critical thinking for non-philosophy majors. However, the latter is not open source so I will figure out how to get by without it in the future. Overall, the book seems comprehensive if the subject is logic. The index is on the short-side, but fine. However, one issue for me is that there are no page numbers on the table of contents, which is pretty annoying if you want to locate particular sections.

Content Accuracy rating: 4

I didn't find any errors. In general the book uses great examples. However, they are very much based in the American context, not for an international student audience. Some effort to broaden the chosen examples would make the book more widely applicable.

Relevance/Longevity rating: 4

I think the book will remain relevant because of the nature of the material that it addresses, however there will be a need to modify the examples in future editions and as the social and political context changes.

Clarity rating: 3

The text is lucid, but I think it would be difficult for introductory-level students who are not philosophy majors. For example, in Browne and Keeley's "Asking the Right Questions: A Guide to Critical Thinking," the sub-headings are very accessible, such as "Experts cannot rescue us, despite what they say" or "wishful thinking: perhaps the biggest single speed bump on the road to critical thinking." By contrast, Van Cleave's "Introduction to Logic and Critical Thinking" has more subheadings like this: "Using your own paraphrases of premises and conclusions to reconstruct arguments in standard form" or "Propositional logic and the four basic truth functional connectives." If students are prepared very well for the subject, it would work fine, but for students who are newly being introduced to critical thinking, it is rather technical.

It seems to be very consistent in terms of its terminology and framework.

Modularity rating: 4

The book is divided into 4 chapters, each having many sub-chapters. In that sense, it is readily divisible and modular. However, as noted above, there are no page numbers on the table of contents, which would make assigning certain parts rather frustrating. Also, I'm not sure why the book is only four chapter and has so many subheadings (for instance 17 in Chapter 2) and a length of 242 pages. Wouldn't it make more sense to break up the book into shorter chapters? I think this would make it easier to read and to assign in specific blocks to students.

Organization/Structure/Flow rating: 4

The organization of the book is fine overall, although I think adding page numbers to the table of contents and breaking it up into more separate chapters would help it to be more easily navigable.

Interface rating: 4

The book is very simply presented. In my opinion it is actually too simple. There are few boxes or diagrams that highlight and explain important points.

The text seems fine grammatically. I didn't notice any errors.

The book is written with an American audience in mind, but I did not notice culturally insensitive or offensive parts.

Overall, this book is not for my course, but I think it could work well in a philosophy course.

Reviewed by Daniel Lee, Assistant Professor of Economics and Leadership, Sweet Briar College on 11/11/19

This textbook is not particularly comprehensive (4 chapters long), but I view that as a benefit. In fact, I recommend it for use outside of traditional logic classes, but rather interdisciplinary classes that evaluate argument read more

Comprehensiveness rating: 3 see less

This textbook is not particularly comprehensive (4 chapters long), but I view that as a benefit. In fact, I recommend it for use outside of traditional logic classes, but rather interdisciplinary classes that evaluate argument

To the best of my ability, I regard this content as accurate, error-free, and unbiased

The book is broadly relevant and up-to-date, with a few stray temporal references (sydney olympics, particular presidencies). I don't view these time-dated examples as problematic as the logical underpinnings are still there and easily assessed

Clarity rating: 4

My only pushback on clarity is I didn't find the distinction between argument and explanation particularly helpful/useful/easy to follow. However, this experience may have been unique to my class.

To the best of my ability, I regard this content as internally consistent

I found this text quite modular, and was easily able to integrate other texts into my lessons and disregard certain chapters or sub-sections

The book had a logical and consistent structure, but to the extent that there are only 4 chapters, there isn't much scope for alternative approaches here

No problems with the book's interface

The text is grammatically sound

Cultural Relevance rating: 4

Perhaps the text could have been more universal in its approach. While I didn't find the book insensitive per-se, logic can be tricky here because the point is to evaluate meaningful (non-trivial) arguments, but any argument with that sense of gravity can also be traumatic to students (abortion, death penalty, etc)

No additional comments

Reviewed by Lisa N. Thomas-Smith, Graduate Part-time Instructor, CU Boulder on 7/1/19

The text covers all the relevant technical aspects of introductory logic and critical thinking, and covers them well. A separate glossary would be quite helpful to students. However, the terms are clearly and thoroughly explained within the text,... read more

The text covers all the relevant technical aspects of introductory logic and critical thinking, and covers them well. A separate glossary would be quite helpful to students. However, the terms are clearly and thoroughly explained within the text, and the index is very thorough.

The content is excellent. The text is thorough and accurate with no errors that I could discern. The terminology and exercises cover the material nicely and without bias.

The text should easily stand the test of time. The exercises are excellent and would be very helpful for students to internalize correct critical thinking practices. Because of the logical arrangement of the text and the many sub-sections, additional material should be very easy to add.

The text is extremely clearly and simply written. I anticipate that a diligent student could learn all of the material in the text with little additional instruction. The examples are relevant and easy to follow.

The text did not confuse terms or use inconsistent terminology, which is very important in a logic text. The discipline often uses multiple terms for the same concept, but this text avoids that trap nicely.

The text is fairly easily divisible. Since there are only four chapters, those chapters include large blocks of information. However, the chapters themselves are very well delineated and could be easily broken up so that parts could be left out or covered in a different order from the text.

The flow of the text is excellent. All of the information is handled solidly in an order that allows the student to build on the information previously covered.

The PDF Table of Contents does not include links or page numbers which would be very helpful for navigation. Other than that, the text was very easy to navigate. All the images, charts, and graphs were very clear

I found no grammatical errors in the text.

Cultural Relevance rating: 3

The text including examples and exercises did not seem to be offensive or insensitive in any specific way. However, the examples included references to black and white people, but few others. Also, the text is very American specific with many examples from and for an American audience. More diversity, especially in the examples, would be appropriate and appreciated.

Reviewed by Leslie Aarons, Associate Professor of Philosophy, CUNY LaGuardia Community College on 5/16/19

This is an excellent introductory (first-year) Logic and Critical Thinking textbook. The book covers the important elementary information, clearly discussing such things as the purpose and basic structure of an argument; the difference between an... read more

This is an excellent introductory (first-year) Logic and Critical Thinking textbook. The book covers the important elementary information, clearly discussing such things as the purpose and basic structure of an argument; the difference between an argument and an explanation; validity; soundness; and the distinctions between an inductive and a deductive argument in accessible terms in the first chapter. It also does a good job introducing and discussing informal fallacies (Chapter 4). The incorporation of opportunities to evaluate real-world arguments is also very effective. Chapter 2 also covers a number of formal methods of evaluating arguments, such as Venn Diagrams and Propositional logic and the four basic truth functional connectives, but to my mind, it is much more thorough in its treatment of Informal Logic and Critical Thinking skills, than it is of formal logic. I also appreciated that Van Cleave’s book includes exercises with answers and an index, but there is no glossary; which I personally do not find detracts from the book's comprehensiveness.

Overall, Van Cleave's book is error-free and unbiased. The language used is accessible and engaging. There were no glaring inaccuracies that I was able to detect.

Van Cleave's Textbook uses relevant, contemporary content that will stand the test of time, at least for the next few years. Although some examples use certain subjects like former President Obama, it does so in a useful manner that inspires the use of critical thinking skills. There are an abundance of examples that inspire students to look at issues from many different political viewpoints, challenging students to practice evaluating arguments, and identifying fallacies. Many of these exercises encourage students to critique issues, and recognize their own inherent reader-biases and challenge their own beliefs--hallmarks of critical thinking.

As mentioned previously, the author has an accessible style that makes the content relatively easy to read and engaging. He also does a suitable job explaining jargon/technical language that is introduced in the textbook.

Van Cleave uses terminology consistently and the chapters flow well. The textbook orients the reader by offering effective introductions to new material, step-by-step explanations of the material, as well as offering clear summaries of each lesson.

This textbook's modularity is really quite good. Its language and structure are not overly convoluted or too-lengthy, making it convenient for individual instructors to adapt the materials to suit their methodological preferences.

The topics in the textbook are presented in a logical and clear fashion. The structure of the chapters are such that it is not necessary to have to follow the chapters in their sequential order, and coverage of material can be adapted to individual instructor's preferences.

The textbook is free of any problematic interface issues. Topics, sections and specific content are accessible and easy to navigate. Overall it is user-friendly.

I did not find any significant grammatical issues with the textbook.

The textbook is not culturally insensitive, making use of a diversity of inclusive examples. Materials are especially effective for first-year critical thinking/logic students.

I intend to adopt Van Cleave's textbook for a Critical Thinking class I am teaching at the Community College level. I believe that it will help me facilitate student-learning, and will be a good resource to build additional classroom activities from the materials it provides.

Reviewed by Jennie Harrop, Chair, Department of Professional Studies, George Fox University on 3/27/18

While the book is admirably comprehensive, its extensive details within a few short chapters may feel overwhelming to students. The author tackles an impressive breadth of concepts in Chapter 1, 2, 3, and 4, which leads to 50-plus-page chapters... read more

While the book is admirably comprehensive, its extensive details within a few short chapters may feel overwhelming to students. The author tackles an impressive breadth of concepts in Chapter 1, 2, 3, and 4, which leads to 50-plus-page chapters that are dense with statistical analyses and critical vocabulary. These topics are likely better broached in manageable snippets rather than hefty single chapters.

The ideas addressed in Introduction to Logic and Critical Thinking are accurate but at times notably political. While politics are effectively used to exemplify key concepts, some students may be distracted by distinct political leanings.

The terms and definitions included are relevant, but the examples are specific to the current political, cultural, and social climates, which could make the materials seem dated in a few years without intentional and consistent updates.

While the reasoning is accurate, the author tends to complicate rather than simplify -- perhaps in an effort to cover a spectrum of related concepts. Beginning readers are likely to be overwhelmed and under-encouraged by his approach.

Consistency rating: 3

The four chapters are somewhat consistent in their play of definition, explanation, and example, but the structure of each chapter varies according to the concepts covered. In the third chapter, for example, key ideas are divided into sub-topics numbering from 3.1 to 3.10. In the fourth chapter, the sub-divisions are further divided into sub-sections numbered 4.1.1-4.1.5, 4.2.1-4.2.2, and 4.3.1 to 4.3.6. Readers who are working quickly to master new concepts may find themselves mired in similarly numbered subheadings, longing for a grounded concepts on which to hinge other key principles.

Modularity rating: 3

The book's four chapters make it mostly self-referential. The author would do well to beak this text down into additional subsections, easing readers' accessibility.

The content of the book flows logically and well, but the information needs to be better sub-divided within each larger chapter, easing the student experience.

The book's interface is effective, allowing readers to move from one section to the next with a single click. Additional sub-sections would ease this interplay even further.

Grammatical Errors rating: 4

Some minor errors throughout.

For the most part, the book is culturally neutral, avoiding direct cultural references in an effort to remain relevant.

Reviewed by Yoichi Ishida, Assistant Professor of Philosophy, Ohio University on 2/1/18

This textbook covers enough topics for a first-year course on logic and critical thinking. Chapter 1 covers the basics as in any standard textbook in this area. Chapter 2 covers propositional logic and categorical logic. In propositional logic,... read more

This textbook covers enough topics for a first-year course on logic and critical thinking. Chapter 1 covers the basics as in any standard textbook in this area. Chapter 2 covers propositional logic and categorical logic. In propositional logic, this textbook does not cover suppositional arguments, such as conditional proof and reductio ad absurdum. But other standard argument forms are covered. Chapter 3 covers inductive logic, and here this textbook introduces probability and its relationship with cognitive biases, which are rarely discussed in other textbooks. Chapter 4 introduces common informal fallacies. The answers to all the exercises are given at the end. However, the last set of exercises is in Chapter 3, Section 5. There are no exercises in the rest of the chapter. Chapter 4 has no exercises either. There is index, but no glossary.

The textbook is accurate.

The content of this textbook will not become obsolete soon.

The textbook is written clearly.

The textbook is internally consistent.

The textbook is fairly modular. For example, Chapter 3, together with a few sections from Chapter 1, can be used as a short introduction to inductive logic.

The textbook is well-organized.

There are no interface issues.

I did not find any grammatical errors.

This textbook is relevant to a first semester logic or critical thinking course.

Reviewed by Payal Doctor, Associate Professro, LaGuardia Community College on 2/1/18

This text is a beginner textbook for arguments and propositional logic. It covers the basics of identifying arguments, building arguments, and using basic logic to construct propositions and arguments. It is quite comprehensive for a beginner... read more

This text is a beginner textbook for arguments and propositional logic. It covers the basics of identifying arguments, building arguments, and using basic logic to construct propositions and arguments. It is quite comprehensive for a beginner book, but seems to be a good text for a course that needs a foundation for arguments. There are exercises on creating truth tables and proofs, so it could work as a logic primer in short sessions or with the addition of other course content.

The books is accurate in the information it presents. It does not contain errors and is unbiased. It covers the essential vocabulary clearly and givens ample examples and exercises to ensure the student understands the concepts

The content of the book is up to date and can be easily updated. Some examples are very current for analyzing the argument structure in a speech, but for this sort of text understandable examples are important and the author uses good examples.

The book is clear and easy to read. In particular, this is a good text for community college students who often have difficulty with reading comprehension. The language is straightforward and concepts are well explained.

The book is consistent in terminology, formatting, and examples. It flows well from one topic to the next, but it is also possible to jump around the text without loosing the voice of the text.

The books is broken down into sub units that make it easy to assign short blocks of content at a time. Later in the text, it does refer to a few concepts that appear early in that text, but these are all basic concepts that must be used to create a clear and understandable text. No sections are too long and each section stays on topic and relates the topic to those that have come before when necessary.

The flow of the text is logical and clear. It begins with the basic building blocks of arguments, and practice identifying more and more complex arguments is offered. Each chapter builds up from the previous chapter in introducing propositional logic, truth tables, and logical arguments. A select number of fallacies are presented at the end of the text, but these are related to topics that were presented before, so it makes sense to have these last.

The text is free if interface issues. I used the PDF and it worked fine on various devices without loosing formatting.

1. The book contains no grammatical errors.

The text is culturally sensitive, but examples used are a bit odd and may be objectionable to some students. For instance, President Obama's speech on Syria is used to evaluate an extended argument. This is an excellent example and it is explained well, but some who disagree with Obama's policies may have trouble moving beyond their own politics. However, other examples look at issues from all political viewpoints and ask students to evaluate the argument, fallacy, etc. and work towards looking past their own beliefs. Overall this book does use a variety of examples that most students can understand and evaluate.

My favorite part of this book is that it seems to be written for community college students. My students have trouble understanding readings in the New York Times, so it is nice to see a logic and critical thinking text use real language that students can understand and follow without the constant need of a dictionary.

Reviewed by Rebecca Owen, Adjunct Professor, Writing, Chemeketa Community College on 6/20/17

This textbook is quite thorough--there are conversational explanations of argument structure and logic. I think students will be happy with the conversational style this author employs. Also, there are many examples and exercises using current... read more

This textbook is quite thorough--there are conversational explanations of argument structure and logic. I think students will be happy with the conversational style this author employs. Also, there are many examples and exercises using current events, funny scenarios, or other interesting ways to evaluate argument structure and validity. The third section, which deals with logical fallacies, is very clear and comprehensive. My only critique of the material included in the book is that the middle section may be a bit dense and math-oriented for learners who appreciate the more informal, informative style of the first and third section. Also, the book ends rather abruptly--it moves from a description of a logical fallacy to the answers for the exercises earlier in the text.

The content is very reader-friendly, and the author writes with authority and clarity throughout the text. There are a few surface-level typos (Starbuck's instead of Starbucks, etc.). None of these small errors detract from the quality of the content, though.

One thing I really liked about this text was the author's wide variety of examples. To demonstrate different facets of logic, he used examples from current media, movies, literature, and many other concepts that students would recognize from their daily lives. The exercises in this text also included these types of pop-culture references, and I think students will enjoy the familiarity--as well as being able to see the logical structures behind these types of references. I don't think the text will need to be updated to reflect new instances and occurrences; the author did a fine job at picking examples that are relatively timeless. As far as the subject matter itself, I don't think it will become obsolete any time soon.

The author writes in a very conversational, easy-to-read manner. The examples used are quite helpful. The third section on logical fallacies is quite easy to read, follow, and understand. A student in an argument writing class could benefit from this section of the book. The middle section is less clear, though. A student learning about the basics of logic might have a hard time digesting all of the information contained in chapter two. This material might be better in two separate chapters. I think the author loses the balance of a conversational, helpful tone and focuses too heavily on equations.

Consistency rating: 4

Terminology in this book is quite consistent--the key words are highlighted in bold. Chapters 1 and 3 follow a similar organizational pattern, but chapter 2 is where the material becomes more dense and equation-heavy. I also would have liked a closing passage--something to indicate to the reader that we've reached the end of the chapter as well as the book.

I liked the overall structure of this book. If I'm teaching an argumentative writing class, I could easily point the students to the chapters where they can identify and practice identifying fallacies, for instance. The opening chapter is clear in defining the necessary terms, and it gives the students an understanding of the toolbox available to them in assessing and evaluating arguments. Even though I found the middle section to be dense, smaller portions could be assigned.

The author does a fine job connecting each defined term to the next. He provides examples of how each defined term works in a sentence or in an argument, and then he provides practice activities for students to try. The answers for each question are listed in the final pages of the book. The middle section feels like the heaviest part of the whole book--it would take the longest time for a student to digest if assigned the whole chapter. Even though this middle section is a bit heavy, it does fit the overall structure and flow of the book. New material builds on previous chapters and sub-chapters. It ends abruptly--I didn't realize that it had ended, and all of a sudden I found myself in the answer section for those earlier exercises.

The simple layout is quite helpful! There is nothing distracting, image-wise, in this text. The table of contents is clearly arranged, and each topic is easy to find.

Tiny edits could be made (Starbuck's/Starbucks, for one). Otherwise, it is free of distracting grammatical errors.

This text is quite culturally relevant. For instance, there is one example that mentions the rumors of Barack Obama's birthplace as somewhere other than the United States. This example is used to explain how to analyze an argument for validity. The more "sensational" examples (like the Obama one above) are helpful in showing argument structure, and they can also help students see how rumors like this might gain traction--as well as help to show students how to debunk them with their newfound understanding of argument and logic.

The writing style is excellent for the subject matter, especially in the third section explaining logical fallacies. Thank you for the opportunity to read and review this text!

Reviewed by Laurel Panser, Instructor, Riverland Community College on 6/20/17

This is a review of Introduction to Logic and Critical Thinking, an open source book version 1.4 by Matthew Van Cleave. The comparison book used was Patrick J. Hurley’s A Concise Introduction to Logic 12th Edition published by Cengage as well as... read more

This is a review of Introduction to Logic and Critical Thinking, an open source book version 1.4 by Matthew Van Cleave. The comparison book used was Patrick J. Hurley’s A Concise Introduction to Logic 12th Edition published by Cengage as well as the 13th edition with the same title. Lori Watson is the second author on the 13th edition.

Competing with Hurley is difficult with respect to comprehensiveness. For example, Van Cleave’s book is comprehensive to the extent that it probably covers at least two-thirds or more of what is dealt with in most introductory, one-semester logic courses. Van Cleave’s chapter 1 provides an overview of argumentation including discerning non-arguments from arguments, premises versus conclusions, deductive from inductive arguments, validity, soundness and more. Much of Van Cleave’s chapter 1 parallel’s Hurley’s chapter 1. Hurley’s chapter 3 regarding informal fallacies is comprehensive while Van Cleave’s chapter 4 on this topic is less extensive. Categorical propositions are a topic in Van Cleave’s chapter 2; Hurley’s chapters 4 and 5 provide more instruction on this, however. Propositional logic is another topic in Van Cleave’s chapter 2; Hurley’s chapters 6 and 7 provide more information on this, though. Van Cleave did discuss messy issues of language meaning briefly in his chapter 1; that is the topic of Hurley’s chapter 2.

Van Cleave’s book includes exercises with answers and an index. A glossary was not included.

Reviews of open source textbooks typically include criteria besides comprehensiveness. These include comments on accuracy of the information, whether the book will become obsolete soon, jargon-free clarity to the extent that is possible, organization, navigation ease, freedom from grammar errors and cultural relevance; Van Cleave’s book is fine in all of these areas. Further criteria for open source books includes modularity and consistency of terminology. Modularity is defined as including blocks of learning material that are easy to assign to students. Hurley’s book has a greater degree of modularity than Van Cleave’s textbook. The prose Van Cleave used is consistent.

Van Cleave’s book will not become obsolete soon.

Van Cleave’s book has accessible prose.

Van Cleave used terminology consistently.

Van Cleave’s book has a reasonable degree of modularity.

Van Cleave’s book is organized. The structure and flow of his book is fine.

Problems with navigation are not present.

Grammar problems were not present.

Van Cleave’s book is culturally relevant.

Van Cleave’s book is appropriate for some first semester logic courses.

Table of Contents

Chapter 1: Reconstructing and analyzing arguments

• 1.1 What is an argument?
• 1.2 Identifying arguments
• 1.3 Arguments vs. explanations
• 1.4 More complex argument structures
• 1.5 Using your own paraphrases of premises and conclusions to reconstruct arguments in standard form
• 1.6 Validity
• 1.7 Soundness
• 1.8 Deductive vs. inductive arguments
• 1.9 Arguments with missing premises
• 1.10 Assuring, guarding, and discounting
• 1.11 Evaluative language
• 1.12 Evaluating a real-life argument

Chapter 2: Formal methods of evaluating arguments

• 2.1 What is a formal method of evaluation and why do we need them?
• 2.2 Propositional logic and the four basic truth functional connectives
• 2.3 Negation and disjunction
• 2.4 Using parentheses to translate complex sentences
• 2.5 “Not both” and “neither nor”
• 2.6 The truth table test of validity
• 2.7 Conditionals
• 2.8 “Unless”
• 2.9 Material equivalence
• 2.10 Tautologies, contradictions, and contingent statements
• 2.11 Proofs and the 8 valid forms of inference
• 2.12 How to construct proofs
• 2.13 Short review of propositional logic
• 2.14 Categorical logic
• 2.15 The Venn test of validity for immediate categorical inferences
• 2.16 Universal statements and existential commitment
• 2.17 Venn validity for categorical syllogisms

Chapter 3: Evaluating inductive arguments and probabilistic and statistical fallacies

• 3.1 Inductive arguments and statistical generalizations
• 3.2 Inference to the best explanation and the seven explanatory virtues
• 3.3 Analogical arguments
• 3.4 Causal arguments
• 3.5 Probability
• 3.6 The conjunction fallacy
• 3.7 The base rate fallacy
• 3.8 The small numbers fallacy
• 3.9 Regression to the mean fallacy
• 3.10 Gambler's fallacy

Chapter 4: Informal fallacies

• 4.1 Formal vs. informal fallacies
• 4.1.1 Composition fallacy
• 4.1.2 Division fallacy
• 4.1.3 Begging the question fallacy
• 4.1.4 False dichotomy
• 4.1.5 Equivocation
• 4.2 Slippery slope fallacies
• 4.2.1 Conceptual slippery slope
• 4.2.2 Causal slippery slope
• 4.3 Fallacies of relevance
• 4.3.1 Ad hominem
• 4.3.2 Straw man
• 4.3.3 Tu quoque
• 4.3.4 Genetic
• 4.3.5 Appeal to consequences
• 4.3.6 Appeal to authority

Answers to exercises Glossary/Index

Ancillary Material

About the book.

This is an introductory textbook in logic and critical thinking. The goal of the textbook is to provide the reader with a set of tools and skills that will enable them to identify and evaluate arguments. The book is intended for an introductory course that covers both formal and informal logic. As such, it is not a formal logic textbook, but is closer to what one would find marketed as a “critical thinking textbook.”

About the Contributors

Matthew Van Cleave ,   PhD, Philosophy, University of Cincinnati, 2007.  VAP at Concordia College (Moorhead), 2008-2012.  Assistant Professor at Lansing Community College, 2012-2016. Professor at Lansing Community College, 2016-

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Success Skills

Critical thinking and logic.

Critical thinking is fundamentally a process of questioning information and data. You may question the information you read in a textbook, or you may question what a politician or a professor or a classmate says. You can also question a commonly-held belief or a new idea. With critical thinking, anything and everything is subject to question and examination.

Logic’s Relationship to Critical Thinking

The word logic comes from the Ancient Greek logike , referring to the science or art of reasoning. Using logic, a person evaluates arguments and strives to distinguish between good and bad reasoning, or between truth and falsehood. Using logic, you can evaluate ideas or claims people make, make good decisions, and form sound beliefs about the world. [1]

Questions of Logic in Critical Thinking

Let’s use a simple example of applying logic to a critical-thinking situation. In this hypothetical scenario, a man has a PhD in political science, and he works as a professor at a local college. His wife works at the college, too. They have three young children in the local school system, and their family is well known in the community.

The man is now running for political office. Are his credentials and experience sufficient for entering public office? Will he be effective in the political office? Some voters might believe that his personal life and current job, on the surface, suggest he will do well in the position, and they will vote for him.

In truth, the characteristics described don’t guarantee that the man will do a good job. The information is somewhat irrelevant. What else might you want to know? How about whether the man had already held a political office and done a good job? In this case, we want to ask, How much information is adequate in order to make a decision based on logic instead of assumptions?

The following questions, presented in Figure 1, below, are ones you may apply to formulating a logical, reasoned perspective in the above scenario or any other situation:

• What’s happening? Gather the basic information and begin to think of questions.
• Why is it important? Ask yourself why it’s significant and whether or not you agree.
• What don’t I see? Is there anything important missing?
• How do I know? Ask yourself where the information came from and how it was constructed.
• Who is saying it? What’s the position of the speaker and what is influencing them?
• What else? What if? What other ideas exist and are there other possibilities?

• "logic." Wordnik . n.d. Web. 16 Feb 2016 . ↵
• Revision, Adaptation, and Original Content. Provided by : Lumen Learning. License : CC BY: Attribution
• Thinking Critically. Authored by : UBC Learning Commons. Provided by : The University of British Columbia, Vancouver Campus. Located at : http://www.oercommons.org/courses/learning-toolkit-critical-thinking/view . License : CC BY: Attribution
• Critical Thinking Skills. Authored by : Linda Bruce. Provided by : Lumen Learning. Located at : https://courses.candelalearning.com/lumencollegesuccess/chapter/critical-thinking-skills/ . License : CC BY: Attribution

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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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• Toulmin, Stephen Edelston, 1958, The Uses of Argument , Cambridge: Cambridge University Press.
• Turri, John, Mark Alfano, and John Greco, 2017, “Virtue Epistemology”, in Edward N. Zalta (ed.), The Stanford Encyclopedia of Philosophy (Winter 2017 Edition). URL = < https://plato.stanford.edu/archives/win2017/entries/epistemology-virtue/ >
• Vincent-Lancrin, Stéphan, Carlos González-Sancho, Mathias Bouckaert, Federico de Luca, Meritxell Fernández-Barrerra, Gwénaël Jacotin, Joaquin Urgel, and Quentin Vidal, 2019, Fostering Students’ Creativity and Critical Thinking: What It Means in School. Educational Research and Innovation , Paris: OECD Publishing.
• Warren, Karen J. 1988. “Critical Thinking and Feminism”, Informal Logic , 10(1): 31–44. [ Warren 1988 available online ]
• Watson, Goodwin, and Edward M. Glaser, 1980a, Watson-Glaser Critical Thinking Appraisal, Form A , San Antonio, TX: Psychological Corporation.
• –––, 1980b, Watson-Glaser Critical Thinking Appraisal: Forms A and B; Manual , San Antonio, TX: Psychological Corporation,
• –––, 1994, Watson-Glaser Critical Thinking Appraisal, Form B , San Antonio, TX: Psychological Corporation.
• Weinstein, Mark, 1990, “Towards a Research Agenda for Informal Logic and Critical Thinking”, Informal Logic , 12(3): 121–143. [ Weinstein 1990 available online ]
• –––, 2013, Logic, Truth and Inquiry , London: College Publications.
• Willingham, Daniel T., 2019, “How to Teach Critical Thinking”, Education: Future Frontiers , 1: 1–17. [Available online at https://prod65.education.nsw.gov.au/content/dam/main-education/teaching-and-learning/education-for-a-changing-world/media/documents/How-to-teach-critical-thinking-Willingham.pdf.]
• Zagzebski, Linda Trinkaus, 1996, Virtues of the Mind: An Inquiry into the Nature of Virtue and the Ethical Foundations of Knowledge , Cambridge: Cambridge University Press. doi:10.1017/CBO9781139174763

How to cite this entry . Preview the PDF version of this entry at the Friends of the SEP Society . Look up topics and thinkers related to this entry at the Internet Philosophy Ontology Project (InPhO). Enhanced bibliography for this entry at PhilPapers , with links to its database.

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Critical Thinking and Decision-Making  - What is Critical Thinking?

Critical thinking and decision-making  -, what is critical thinking, critical thinking and decision-making what is critical thinking.

Critical Thinking and Decision-Making: What is Critical Thinking?

Lesson 1: what is critical thinking, what is critical thinking.

Critical thinking is a term that gets thrown around a lot. You've probably heard it used often throughout the years whether it was in school, at work, or in everyday conversation. But when you stop to think about it, what exactly is critical thinking and how do you do it ?

Watch the video below to learn more about critical thinking.

Simply put, critical thinking is the act of deliberately analyzing information so that you can make better judgements and decisions . It involves using things like logic, reasoning, and creativity, to draw conclusions and generally understand things better.

This may sound like a pretty broad definition, and that's because critical thinking is a broad skill that can be applied to so many different situations. You can use it to prepare for a job interview, manage your time better, make decisions about purchasing things, and so much more.

The process

As humans, we are constantly thinking . It's something we can't turn off. But not all of it is critical thinking. No one thinks critically 100% of the time... that would be pretty exhausting! Instead, it's an intentional process , something that we consciously use when we're presented with difficult problems or important decisions.

Improving your critical thinking

In order to become a better critical thinker, it's important to ask questions when you're presented with a problem or decision, before jumping to any conclusions. You can start with simple ones like What do I currently know? and How do I know this? These can help to give you a better idea of what you're working with and, in some cases, simplify more complex issues.  

Real-world applications

Let's take a look at how we can use critical thinking to evaluate online information . Say a friend of yours posts a news article on social media and you're drawn to its headline. If you were to use your everyday automatic thinking, you might accept it as fact and move on. But if you were thinking critically, you would first analyze the available information and ask some questions :

• What's the source of this article?
• Is the headline potentially misleading?
• What are my friend's general beliefs?
• Do their beliefs inform why they might have shared this?

After analyzing all of this information, you can draw a conclusion about whether or not you think the article is trustworthy.

Critical thinking has a wide range of real-world applications . It can help you to make better decisions, become more hireable, and generally better understand the world around you.

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3.9: Text- Critical Thinking and Logic

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Critical thinking is fundamentally a process of questioning information and data. You may question the information you read in a textbook, or you may question what a politician or a professor or a classmate says. You can also question a commonly-held belief or a new idea. With critical thinking, anything and everything is subject to question and examination.

Logic’s Relationship to Critical Thinking

The word logic comes from the Ancient Greek logike , referring to the science or art of reasoning. Using logic, a person evaluates arguments and strives to distinguish between good and bad reasoning, or between truth and falsehood. Using logic, you can evaluate ideas or claims people make, make good decisions, and form sound beliefs about the world. [1]

Questions of Logic in Critical Thinking

Let’s use a simple example of applying logic to a critical-thinking situation. In this hypothetical scenario, a man has a PhD in political science, and he works as a professor at a local college. His wife works at the college, too. They have three young children in the local school system, and their family is well known in the community.

The man is now running for political office. Are his credentials and experience sufficient for entering public office? Will he be effective in the political office? Some voters might believe that his personal life and current job, on the surface, suggest he will do well in the position, and they will vote for him.

In truth, the characteristics described don’t guarantee that the man will do a good job. The information is somewhat irrelevant. What else might you want to know? How about whether the man had already held a political office and done a good job? In this case, we want to ask, How much information is adequate in order to make a decision based on logic instead of assumptions?

The following questions, presented in Figure 1, below, are ones you may apply to formulating a logical, reasoned perspective in the above scenario or any other situation:

• What’s happening? Gather the basic information and begin to think of questions.
• Why is it important? Ask yourself why it’s significant and whether or not you agree.
• What don’t I see? Is there anything important missing?
• How do I know? Ask yourself where the information came from and how it was constructed.
• Who is saying it? What’s the position of the speaker and what is influencing them?
• What else? What if? What other ideas exist and are there other possibilities?

• "logic." Wordnik . n.d. Web. 16 Feb 2016 . ↵
• Revision, Adaptation, and Original Content. Provided by : Lumen Learning. License : CC BY: Attribution
• Thinking Critically. Authored by : UBC Learning Commons. Provided by : The University of British Columbia, Vancouver Campus. Located at : http://www.oercommons.org/courses/learning-toolkit-critical-thinking/view . License : CC BY: Attribution
• Critical Thinking Skills. Authored by : Linda Bruce. Provided by : Lumen Learning. Located at : https://courses.candelalearning.com/lumencollegesuccess/chapter/critical-thinking-skills/ . License : CC BY: Attribution

The Relationship Between Critical Thinking and Critical Theory

Comparing approaches..

Updated April 10, 2024 | Reviewed by Gary Drevitch

• Critical theory is a way of identifying, critiquing, and challenging social dynamics and power structures.
• Modern critical theory seems to skip a lot of steps associated with logic and mechanisms of good thinking.
• Human beings think in hierarchically structured fashion, and they develop social groups in a similar manner.

I recently asked a fellow academic, in conversation, how they try to integrate critical thinking into their classroom, and they replied that they don’t have "much time for that kind of thing." I quickly realised that they didn’t know what I was talking about and likely confused it for something else. This shouldn’t have been entirely surprising to me, given research by Lloyd and Bahr (2010) indicates that, unfortunately, many educators are not au fait with what critical thinking actually is. Following further conversation, I came to understand what this academic was referring to: critical theory. This was neither the first time I’ve encountered such confusion of terms, nor was it the first time I heard criticism of the field.

What Critical Theory Is

I recognise that the phrasing "critical lens" one often hears in educational contexts might be a bit ambiguous and could be perceived in various ways. Critical thinking is many things, but one thing it is not is critical theory. Critical theory is an arts and humanities approach to identifying, critiquing, and challenging social dynamics and power structures within society (e.g., see Tyson 2023, Marcuse, 1968). Simply, it’s a critique of society; hence, the name—though some in the field would argue this and uphold the belief that it’s an association with our beloved critical thinking. I would argue that such people would fit in well with the aforementioned cohort of people who don’t really understand what critical thinking is.

The critical theory approach developed out of post-World War II German social climates as a means of exploring how Germany and, indeed, Europe got to where they were at that point in time. This is reasonable; indeed, psychology was interested in these implications as well (e.g., consider the work of Milgram and Asch). Critical theory grew from there into other socially aware applications. Despite methodological concerns, there is some good work done through critical theory. However, there is also considerably poor research done in this area. I would argue that the core reason for this is that the approach is often founded in bias . That is, unfortunately, a lot of modern critical theory starts with the proposition that some dynamic is "bad." Now, I’m not saying that many of the dynamics often under investigation aren’t bad, but starting research on the basis of a biased perspective doesn’t sound like a particularly promising rationale. Where’s the critical thinking? Where’s the evaluation? If you truly care about the topic, apply critical thinking from an unbiased perspective. Modern critical theory seems to skip a lot of steps associated with logic and the mechanisms of good thinking.

The purpose of this brief discussion on critical theory is two-fold. First, it’s argued that there has been "considerable" growth in the field in recent years (e.g., critical theory student numbers, growing presence in popular society, and growing inclusion in educational curricula), which is concerning given the rationale above, and, second, consistent with my observation in the introduction, its name is unfortunately similar to "critical thinking" and, thus, the two are often confused for one another. Please, don’t make this mistake.

Power Structures

Similar to the aforementioned negative social dynamics, I’m not saying that power structures don’t exist either. Look at families: Parents hold "power" over their children. Look at jobs: Employees are under the power of their managers, who are under the power of other managers, and so on. Indeed, depending on what country you live in, your government has varying levels of power over those it governs (e.g., with respect to law and policy-making). Some will argue that it’s the people who should be governing themselves: voting in law- and policy-makers as representatives, which is reasonable to me, but not all governments are like this— that’s politics for you (e.g., largely belief-led) , so what can you do? "Think critically about it" would be a reasonable response in the context of this page, and that is notably distinct from engaging in critical theory.

The point is that such "structures" are naturally occurring. Human beings think in a hierarchically structured fashion (e.g., through schema construction, classification, categorisation) and they develop social groups in a similar manner. That’s not to say that we should accept such structures in all situations, but no amount of academia is likely to change human nature; believe me, we’ve been trying to get people to think critically for a long time. Another important consideration for recognising this commonality is our expectance of these structures. Unfortunately, because we expect to see them everywhere, we wind up creating many of them, through our interpretations, when they might not even exist.

So, if you are approaching your research from the perspective that because some person or group experiences, for example, a less-than-desirable event or condition, it’s very easy—without the application of critical thinking—that such negative outcomes should be attributed to some other group or structure, in a sort of causal relationship. The problem is, as opposed to this being a conclusion ( a leads to b ), it is often the starting point of research, which then biases the methodology and its outcomes. For example, in an effort not to single out any particular group, let’s say I’m studying some topic from a Zuggist perspective (I made-up the word/group "Zug"). Considering the fact that I side with Zuggists—I might even be a Zug myself—the chances of me reporting something that is biased in favour of Zugs is more likely than not. To me, that’s not good research.

Again, I’m not saying that all research from a critical theory approach is like this, but, unfortunately, a noticeable amount of it is. Sure, every field has its barriers and "crises" from time to time: Psychology has been battling a replicability crisis in recent years. However, at least psychology (for the most part) recognises the importance of replicability and other research mechanisms associated with good methodology. I have concerns about that with respect to critical theory.

All in all, critical theory doesn’t mean much to me, but, for now, like my fellow academic said in the introduction, "I don’t have much time for that kind of thing." So, why bother talking about it here? This page is focused on critical thinking and good decision-making . These are the outcomes in which I and readers of this blog are interested, alongside learning more about how we can enhance them. It’s difficult enough conceptualising and describing critical thinking without having something similarly named adding further confusion. I’m not putting blame on anyone for the manner in which they coined the term "critical theory"; however, I think it important that people from all walks of life know the differences between them, because those differences are many and important.

Lloyd, M., & Bahr, N. (2010). Thinking critically about critical thinking in higher education. International Journal for the Scholarship of Teaching and Learning, 4, 2, 1–16.

Marcuse, Herbert. "Philosophy and Critical Theory," in Negations: Essays in Critical Theory , with translations from the German by Jeremy J. Shapiro (Boston: Beacon Press, 1968), pp. 134–158.

Tyson, L. (2023). Critical Theory Today: A User-Friendly Guide . Taylor & Francis.

Christopher Dwyer, Ph.D., is a lecturer at the Technological University of the Shannon in Athlone, Ireland.

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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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The Relationship between Critical Thinking and Logic: Its Importance for Islamic Learners

Shaikha hamad mohammed alkubaisi.

• Pages 1298-1310
• Received: 16 Oct, 2023
• Revised: 20 Nov, 2023
• Published Online: 26 Dec, 2023

http://dx.doi.org/10.6007/IJARPED/v12-i4/20190

Open access

This study delves into the intrinsic relationship between critical thinking and logic, elucidating their reciprocal influence and underscoring their pivotal roles in the academic journey of Islamic learners grappling with issues of creed, jurisprudence, and various subjects. Widespread confusion and the failure to distinguish between these terms impede student progress, especially in Islamic sciences, where critical thinking is indispensable for formulating questions at both general and granular levels. The introduction of logic without a concurrent emphasis on critical thinking restricts the scope of exploration, potentially overlooking nuanced details that are foundational to the studied issues. Adopting a descriptive-analytical approach, the researcher advocates for a meticulous analysis of matters in intricate detail, stressing the discipline-specific nuances inherent in each field of study. The study's results affirm an intrinsic interdependence between critical and logical thinking. Critical thinking enriches the ability to discern between valid logic and logical fallacies, fostering a more nuanced understanding of complex issues. Conversely, logic is a scaffold for critical thinking, particularly in logical reasoning and interpretation processes. This research paper serves as an initial exploration, providing valuable insights for education, planning, legislation, and law professionals. It lays the groundwork for a comprehensive understanding of the symbiotic relationship between critical thinking and logic, encouraging further, more detailed studies in this vital intersection. Integrating critical thinking and logic emerges as a fundamental aspect of academic pursuits, promoting a holistic and nuanced approach to problem-solving and decision-making.

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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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Perception and Critical Thinking: 2 Thinking Influences

The process of forming judgments and opinions involves using evidence and logic, which are common to both perception and critical thinking. Perception is the way we interpret information received through our senses from the environment, while critical thinking involves analyzing, evaluating, and synthesizing information from different sources. Perception can affect critical thinking by influencing the way we select, organize, and interpret the information that we encounter.

Sanju Pradeepa

You rely on your senses and brain to perceive and make sense of the world around you, but how often do you stop to consider how your own perceptions and thought processes actually work? Understanding your these abilities is vital to navigating life effectively. How you perceive and think critically about information directly impacts the choices you make, the relationships you have, and your overall well-being and success.

This article will explore how your senses, experiences, beliefs, and biases shape your perception of reality. You’ll gain insights into common thinking traps and logical fallacies that often distort your reasoning. And you’ll pick up practical techniques for sharpening your critical thinking through questioning assumptions, evaluating evidence objectively, and considering alternative perspectives.

Perception and critical thinking are life skills that require continuous development and practice. Make the effort to understand them, and you’ll be rewarded with a more accurate view of the world, better decision-making, and a deeper understanding of all areas of your life.

Table of Contents

What is perception.

Perception refers to how you interpret the world around you through your senses. How you perceive things depends a lot on your beliefs , experiences, culture, values, preferences, and biases. In other words, perception is subjective and shaped by many factors.

Your senses—sight, hearing, smell, taste, and touch—are how you receive and process information from the environment. However, your senses alone don’t determine how you perceive things. Your brain also relies on context, memory, and expectations to interpret the information it receives.

For example, if you hear a loud bang in the middle of the night, you may perceive it as threatening because you expect the nighttime environment to be quiet and safe. The same loud bang during the day likely wouldn’t alarm you. Your perception depends heavily on the context.

Your perceptions can also be influenced by your beliefs and biases. For instance, if you believe a certain group of people tend to be untrustworthy , you may perceive individuals from that group in a more negative light, even if there is no objective evidence to support that view.

In summary, perception is a complex process. The world around us is filled with an infinite amount of information, so we tend to organize and interpret it subjectively based on what matters most to us. Understanding how perception works can help us gain insight into ourselves and others. It may also help us become aware of our biases so we can perceive things more openly and accurately.

Is Perception Subjective OR Objective: The Debate Continues

Factors that influence our perception.

The way we perceive the world around us is influenced by many factors. Our past experiences, biases, culture, beliefs, and environment all shape how we interpret information and events.

Past experiences

What we’ve gone through in life impacts how we see new things. If something reminds us of a past painful experience, we may perceive it more negatively. Positive associations from the past can make us view something in a more favorable light. Our experiences cause us to develop expectations about the world, which then influence our perceptions.

Biases and prejudices

The preconceptions and prejudices we hold sway how we perceive people and situations. Confirmation bias leads us to notice and accept information that confirms what we already believe while ignoring anything that contradicts our views. Stereotyping causes us to perceive people as having certain attributes based only on their social group. These prejudices distort our perceptions and make it hard to see things objectively.

Cultural influences

The culture we live in shapes our beliefs and behaviors, which then impact how we perceive the world. Those from individualistic cultures may focus more on personal goals and independence, while those from collectivistic cultures emphasize community and relationships. Our cultural values and norms provide a lens through which we interpret everything around us.

With awareness of these factors, we can work to expand our perspectives and improve our critical thinking skills. Examining our assumptions and the effects of our biases helps us perceive things more openly and objectively. Broadening our experiences and exposing ourselves to diverse cultures and ideas also helps create a more balanced view of the world.

How Our Perceptions Shape Our Reality

Our perceptions shape how we view and interpret the world around us. The way we perceive reality depends on several factors:

• Our beliefs and expectations: We tend to perceive what we already believe or expect to see. For example, if you believe that spiders are dangerous, you are more likely to perceive a spider you encounter as threatening, even if it’s harmless.
• Our biases and prejudices: The biases and stereotypes we hold can distort our perception of people and events. For instance, if you have a prejudice against a particular group, you may perceive members of that group in an unfairly negative light.
• Our emotional state: How we feel can influence what we perceive. When we’re fearful or anxious, we may perceive threats that aren’t actually there. When we’re happy, the world may seem brighter and more positive.
• Our senses—what we see, hear, smell, touch, and taste—provide the raw data for our perceptions. If one of our senses is impaired or limited, it can alter our perception of reality. For example, a blind or deaf person will have a very different perception of the world than a person with full sensory ability.

In summary, our perceptions are shaped by many psychological and sensory factors. We must be aware of how these influences can distort our view of reality and affect our critical thinking and judgment. By recognizing our own biases and limitations, we can gain a more accurate perception of the world and make better decisions.

Motivated Perception: Why We See What We Want to See

Common perceptual distortions and biases.

Our perception of the world around us is shaped by many factors, including some common biases and distortions. Be aware of these tendencies in yourself and others to improve critical thinking.

Confirmation bias

We tend to search for and favor information that confirms what we already believe. Make an effort to also seek out information that contradicts your preexisting views. Consider other perspectives with an open mind.

Anchoring bias

We rely too heavily on the first piece of information we receive, known as the “anchor,” and fail to sufficiently adjust our views in light of subsequent information. Be willing to consider each new piece of information objectively rather than comparing it only to your anchor.

Dunning-Kruger effect

When we lack knowledge or expertise in a particular area, we tend to overestimate our own competence. The less you know, the less aware you are of how much you have yet to learn. Seek out opportunities to expand your knowledge through reading, taking a course, or finding a mentor.

Bandwagon effect

We tend to believe or do things simply because others do. Resist the urge to go along with popular opinion or bandwagons,” and instead evaluate the facts and your own views objectively. Just because “everyone else” believes something does not necessarily make it true.

What Causes Cognitive Distortions: 8 Distortions Behind Them

Being aware of common biases and perceptual distortions is an important step toward improving your critical thinking. Make an effort to consider information objectively, seek out alternative perspectives, and base your judgments on facts rather than preconceptions. With practice, you can overcome these tendencies and develop sharper, more independent thinking.

Critical Thinking Skills: What Are They?

Critical thinking skills are vital in all areas of life. They allow you to analyze information objectively and form your own evaluations and interpretations. Some key critical thinking skills include:

• Observation: Paying close attention to details and gathering information through the senses Observe the world around you and notice subtle details.
• Analysis: Examining information or arguments in a logical, systematic way Break down information into parts to understand it fully. Look for evidence, logical flaws or weaknesses, and alternative interpretations.
• Interpretation: Giving meaning to observations, experiences, information, or arguments Try to understand the significance of the information and how it relates to the overall topic or issue.
• Inference: Drawing conclusions based on observations and analysis Make educated guesses about implications, consequences, outcomes, or the meaning of incomplete information. Inferring allows you to make predictions.
• Evaluation: Assessing the credibility, accuracy, and value of information, arguments, or methods Determine strengths and weaknesses, look for bias, and consider alternative perspectives. Evaluate the evidence and arguments objectively.
• Explanation: Providing a clear and coherent rationale or justification for an argument, conclusion, or outcome Explain your reasoning and thinking process to others in a logical, step-by-step manner.
• Problem-solving : Using critical thinking skills to solve complex problems in a systematic, logical way Identify the problem, gather information, evaluate options, and determine the best solution based on the available evidence. Consider obstacles and their ethical implications.

Developing strong critical thinking skills takes practice. Challenge yourself to think critically about information and arguments, ask probing questions, consider alternative perspectives, and avoid biases and logical fallacies. With regular practice, critical thinking can become second nature.

7 Types of Critical Thinking: A Guide to Analyzing Problems

The order to form a judgement through critical thinking.

Critical thinking is the objective analysis and evaluation of an issue in order to form a judgment. It is a crucial skill that allows you to think clearly and rationally about what to believe or what to do. Developing your critical thinking skills takes effort and practice.

1. Identify your biases and assumptions.

We all have implicit biases and make assumptions that can influence our thinking. Try to identify your biases and assumptions about the issue. Think about how they might impact your judgment. Try to put them aside and be open-minded.

2. Gather relevant information.

Do some research to determine the facts and evidence related to the issue. Look at a variety of reputable sources to get a full, objective understanding of the issue. Consider alternative perspectives and opinions, not just the ones you already agree with.

3. Evaluate the arguments and evidence.

Once you have information from multiple sources, evaluate the quality of the evidence and arguments. Determine if there are any logical flaws or weaknesses. Look for facts and evidence that contradict or challenge your beliefs. Try to stay objective and rational, not emotional .

4 . Draw a reasoned conclusion.

After evaluating the evidence and arguments, you can draw a logical, well-reasoned conclusion. Your conclusion should be based on factual evidence, not just your preexisting opinions or biases. Be willing to accept a conclusion that differs from what you originally believed.

Critical thinking is a vital skill that takes conscious effort to develop and apply. But with regular practice, you can strengthen your ability to think clearly and logically, even about complex and controversial issues. Applying critical thinking leads to better decision-making and helps create a more just, equitable, and progressive society.

Critical Thinking and Non-Critical Thinking: Key Differences

The relationship between perception and critical thinking.

They are deeply intertwined. How you perceive the world around you shapes your thinking, and your thinking influences what you perceive. Understanding this relationship allows you to strengthen both skills.

Your perceptions are formed by experiences, beliefs, values, biases, and logical reasoning. The more self-aware you are of what influences your perceptions, the better able you are to evaluate them critically. Some techniques that can help include:

• Check for evidence that confirms and disproves your perceptions. Weigh them objectively.
• Look for alternative explanations and interpretations. Don’t assume your initial perception is the only one.
• Consider the context and circumstances surrounding your perceptions. Are there factors that could be distorting your views?
• Examine if there are any personal biases or preconceptions affecting your perceptions. Work to overcome them.
• Ask probing questions to evaluate the accuracy and validity of your perceptions. Look at the issue from multiple angles.
• Discuss your perceptions with others to gain new insights. Be open to learning from different viewpoints.
• Practice empathy by trying to perceive situations from other perspectives than your own. Put yourself in other people’s shoes.

Critical thinking involves analyzing, interpreting, evaluating, and improving your thinking. When you apply critical thinking to your perceptions, you strengthen both skills in a virtuous cycle. Your perceptions become sharper and keener, feeding your critical thinking.

And your critical thinking helps shape perceptions that are more discerning and insightful. Together, perception and critical thinking are powerful combinations for understanding yourself and the world around you.

The Synergy of Perception and Critical Thinking in Personal Development

To develop yourself personally and professionally , improving both your skills are key. These cognitive abilities work together synergistically to help you gain valuable insights and make better judgments.

Perception refers to how you observe and understand the world around you through your senses. It involves noticing details, interpreting what you see and hear, and understanding the context. The more perceptive you are, the better you can assess situations accurately. Some ways to strengthen your perception include:

• Paying close attention to details and your surroundings. Notice subtle cues like body language, tone of voice , and small changes in your environment.
• Avoiding distractions and being fully present in the moment Give people and tasks your full focus.
• Looking at situations from multiple perspectives. Try to understand other points of view, not just your own.

Critical thinking means analyzing information objectively and making reasoned judgments. It enables you to evaluate arguments and ideas in a logical, unbiased way. To improve your critical thinking:

• Question assumptions and opinions. Consider the evidence and facts, not just beliefs.
• Look for logical flaws and biases. Watch out for emotional appeals, ad hominem attacks, and close-minded thinking.
• Consider alternative explanations and solutions. Don’t just accept the most obvious answer. Look for creative options.

By honing your perception and critical thinking, you can gain a more accurate understanding of yourself and the world. You’ll make wiser choices and decisions, build better relationships, and continue learning and developing new skills. Keep practicing, and these cognitive abilities will become second nature.

How Critical Thinking Complements and Enhances Perception

Critical thinking is the objective analysis and evaluation of an issue or situation to form a judgment. It complements perception, our sensory experience of the world around us, by enabling us to logically analyze the information we receive through our senses. Together, perception and critical thinking allow us to make sense of the world in an insightful, pragmatic way.

Some key ways critical thinking enhances perception include :

• Evaluating evidence . We perceive a lot of information, but critical thinking helps us determine what evidence is most relevant and credible. We can assess the accuracy, reliability, and validity of what we perceive.
• Identifying assumptions . Our perceptions are influenced by our assumptions, biases, and preconceptions. Critical thinking helps us recognize and evaluate these assumptions to gain a more balanced perspective.
• Considering alternative interpretation s It’s easy to accept what we perceive at face value, but critical thinking pushes us to consider other ways of understanding the information. We can generate alternative hypotheses and explanations.
• Applying logical reasoning While perception relies on our senses, critical thinking relies on logic and reasoning. We can apply logical principles like deduction and induction to draw well-reasoned conclusions from what we perceive.
• Questioning and reflecting Critical thinking fosters an inquisitive mindset. We learn to habitually question and reflect on our perceptions, asking probing questions to gain deeper insight and understanding. Questioning and reflecting lead to a more thoughtful perspective.
• Gaining a broader perspective It helps us consider the wider context surrounding what we perceive. We can incorporate different points of view and relate new information to a broader framework of knowledge. This results in a balanced, well-informed perspective.

In summary, critical thinking and perception work together to shape how we understand ourselves and the world. Our senses may perceive, but our minds must think critically about that perception to gain wisdom. Critical thinking turns the raw materials of perception into knowledge and insight.

Building Resilience and Emotional Intelligence through Perception and Critical Thinking

To build resilience and emotional intelligence, it’s important to understand how perception and critical thinking work. Our perceptions are shaped by many factors, including:

• Our beliefs and experiences: What we already believe or have experienced can shape what we perceive in the present.
• Emotions: Feeling anxious, afraid, or upset can influence what we perceive and how we think about it.
• Biases: We all have implicit biases that can distort our perceptions and judgments.
• Selective attention: We can’t possibly take in all the information around us, so we selectively attend to certain details while ignoring others.

Developing strong critical thinking skills helps overcome the limitations and distortions in our perceptions. Some tips for improving your critical thinking include:

• Consider alternative perspectives. Try to understand how others may perceive the same situation differently. Ask open-ended questions to gain new insights. Seek out balanced and objective analyses of issues.
• Evaluate the evidence and arguments. Look for logical flaws, false assumptions, and inconsistencies. Consider the credibility and possible biases of the sources. Try to determine the accuracy and relevance of key facts.
• Challenge your own beliefs and assumptions. We often don’t recognize our own biases and preconceptions. Make the effort to question why you believe what you believe and look for evidence that contradicts your views. Remain open to other ways of thinking.
• Draw reasonable conclusions. Avoid making hasty generalizations or interpretations that are not well supported by evidence. Consider alternative explanations and hypotheses. Make sure your conclusions logically follow from the evidence and arguments.

Building perception and critical thinking skills is a lifelong endeavor, but one that is essential for success and well-being. With regular practice, these cognitive abilities can become habits of an intelligent and thoughtful mind.

Types of Resilience: Building Strength for Life’s Challenges

The impact of perception and critical thinking on relationships.

They have a significant impact on your relationships. How you perceive yourself and others, as well as your ability to think critically about social interactions, determines the quality and depth of your connections.

Self-Perception

The way you view yourself directly influences how you engage in relationships. If you have a negative self-image , you may come across as insecure, jealous, or needy to others. Work to develop a balanced and compassionate view of yourself. Learn to appreciate your own strengths, values, and accomplishments. When you feel good about who you are, you can build mutually supportive relationships based on trust and understanding.

Perception of Others

How you perceive people also shapes your relationships. If you make overly critical judgments about others or generalize their behaviors, you may miss opportunities to connect. Try to see others with an open and curious mind. Look for their positive qualities and the humanity you share. Ask clarifying questions instead of making assumptions. With a more generous perception of people, you can build healthier and happier relationships .

Critical Thinking

Your ability to think critically about social interactions impacts relationships too. Strong critical thinking skills allow you to better understand complex relationship dynamics, set appropriate boundaries, and resolve conflicts in constructive ways. Examine the reasons behind others’ behaviors before reacting. Look for compromise and common ground. Consider each person’s perspective, needs, and concerns. When you can think critically about your relationships, you are able to navigate challenges in a thoughtful, principled manner.

In summary, developing a balanced self-perception, an openness towards others, and strong critical thinking skills allows you to create and sustain meaningful connections with people. Focusing on these areas can help transform your relationships in positive ways.

Practical Strategies for Applying Perception and Critical Thinking in Daily Life

To apply these two skills in your daily life, here are some practical strategies:

Examine your biases.

We all have implicit biases that influence our perceptions and judgments. Make an effort to recognize your own biases and preconceptions about people and situations. Ask yourself how they might be impacting your thinking and be open to challenging them.

Seek out different perspectives.

Try exposing yourself to different opinions, cultures, and ways of thinking. Read news sources you disagree with, follow people on social media with different views, and engage in respectful debates with others. Widening your perspectives will make you a more perceptive and open-minded thinker.

Question assumptions

Don’t just accept information at face value. Ask questions like, What evidence supports this? What are the counterarguments? Are there any hidden assumptions or biases? Evaluating the reasoning and evidence behind claims and ideas will lead to improved critical thinking.

Consider context

Perception depends strongly on context. Try to understand people and events in the broader context of the situation and environment. Look for root causes and connections, not just surface appearances. Context provides meaning and helps avoid narrow or superficial judgments.

Stay curious

Cultivate a curious mindset. Ask questions, explore new topics that spark your interest, and seek to continuously expand your knowledge. Curious people tend to be more perceptive, open-minded , and willing to challenge their own thinking. A curious mind is a critical mind.

Think before reacting.

Take time to reflect on situations rather than just reacting impulsively. Try to tap into your ability to reason and evaluate before responding or passing judgment. Pausing to think leads to more perceptive responses and helps avoid rash or emotional reactions. With practice, critical thinking can become second nature.

As you have seen, perception and critical thinking are intertwined. How you perceive the world around you is shaped by your beliefs, experiences, assumptions, and biases. To develop strong critical thinking skills, you must continually challenge your perceptions and consider alternative perspectives. Notice when information confirms what you already believe and look for evidence that contradicts your views. Seek out opinions different from your own and try to understand other points of view.

Continually ask questions about the accuracy and validity of the information. The more you practice perceiving the world with an open and curious mind, the stronger your critical thinking abilities will become. Sharpening these skills takes deliberate effort but will serve you well in navigating an increasingly complex world.

• Stereotype From Wikipedia, the free encyclopedia
• Perception Is Not Reality – Just because you think something is reality doesn’t make it reality. Posted August 5, 2019 |   Reviewed by Lybi Ma

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Pursuing Truth: A Guide to Critical Thinking

Chapter 3 categorical logic.

Now we turn to some structured logic systems. The first, categorical logic, is one of the oldest. It dates back at least to Aristotle (384–322 BCE). Categorical logic is a fairly simple logic of categories or classes. A class is a group of things that we designate with a common noun: students, teachers, dogs, politicians, etc. Each sentence will use two different classes. One is the subject class, and the other is the predicate class. In this logic, we can say something about all members of a class, called a universal sentence, or we can say something about some members of a class, called a particular sentence. We can also make a positive claim, called an affirmation, or we can make a negative claim, called a negation.

With these two distinctions, universal/particular and affirnation/negation, we can make four kinds of sentences. S and P stand for the subject class and the predicate class, respectively.

Here are some examples of categorical statements, some true and some false.

• All dogs are mammals.
• All mammals are dogs.
• No reptiles are dogs.
• No politicians are honest people.
• Some politicians are honest people.
• Some cats are amphibians.
• Some dogs are not beagles.
• Some beagles are not dogs.

Look at the sentences carefully. You should be able to tell that the odd-numbered ones are true and the even-numbered ones are false.

3.1 The Square of Opposition

We can visualize interesting logical relationships between these four types of sentences with something called “The Square of Opposition.”

The first step is to place the sentence types in the corners of an imaginary square. A is at the upper left; E, the upper right; I, the lower left, and O, the lower right. Next, draw arrows on the diagonals, pointing to the sentences in the corners. Then, draw an arrow between the two at the top, and another one between the two at the bottom. Finally, draw an arrow on each side, going from top to bottom. When finished, you should have something like this:

Figure 3.1: Square of Opposition

The next step is to note the relationship between the diagonals. The diagonals are contradictories, meaning they always have opposite truth values. They can’t both be true, and they also can’t both be false. If the A sentence is true, the O sentence must be false—if it is true that all dogs are mammals, it cannot be true that some dogs are not mammals. If the O sentence is true, then the A sentence must be false. It is the same for the E and the I.

Next, note the relationship between the A sentences and the E sentences, called contraries. Like the contradictories, they cannot both be true. Unlike the contradictories, they can both be false. If it’s true that all critical thinking students are good students, then it must be false that no critical thinking students are good students. If it’s false that all critical thinking students are good students, then it can be false that critical thinking students are good students. In fact, they are both false, because some critical thinking students are good and others are not.

At the bottom, we have sub-contraries. They can both be false, but cannot both be true.

Finally, we have the relationship between the top level sentences and the bottom level sentences on the same side. This is called alternation. The universal is called the superaltern and the particular is called the subaltern. If the superaltern is true, then the subaltern must also be true. If the superaltern is false, then the subaltern can be either true or false. If the subaltern is false, then the superaltern must be false. If the subaltern is true, then the superaltern can be either true or false. It is easy to remember this way: truth goes down, falsity goes up.

3.2 Diagramming Sentences

We diagram sentences and arguments in categorical logic using Venn diagrams. You’ve probably used these in a math class at some time. Before we can use these to evaluate arguments in categorical logic, we first have to learn how to diagram individual sentences.

The first step is to draw two interlocking circles. Label the left circle with an “S” and the right circle with “P”—standing for the subject term and predicate term, respectively.

Figure 3.2: Starting a venn diagram

3.2.1 A-Sentences

Remember that the A-sentence has the form All S are P. That means that everything that is in the S circle must also be in the P circle. To diagram this, we shade the region of the S circle that is not contained in the P circle. If a region is shaded, that means that nothing is in that region.

Figure 3.3: Diagramming an A-Sentence

3.2.2 E-Sentences

To shade the universal negation, we shade the region that is shared by both S and P:

Figure 3.4: Diagramming an E-Sentence

3.2.3 I-Sentences

To diagram a particular affirmation, we place an x in the region shared by S and P:

Figure 3.5: Diagramming an I-Sentence

3.2.4 O-Sentences

Finally, to diagram an O-sentence, we place an x in S, but not in P:

Figure 3.6: Diagramming an O-Sentence

3.3 Evaluating Categorical Syllogisms

A syllogism is an argument that has two premises and a conclusion. A categorical syllogism is a syllogism that contains only categorical sentences. Here is an example:

• All Dogs are mammals.
• All mammals are animals.
• All dogs are animals

Both premises and the conclusion are A-sentences. Notice that we have three terms in the argument: dogs, mammals, and animals. Every categorical syllogism, in proper form, has three terms. Each term occurs in two sentences. Two of those terms will be found in the conclusion, and one term is only in the premises. The predicate term of the conclusion is called the major term. The subject of the conclusion is called the minor term. The term that is not in the conclusion is called the middle term.

There are two ways to determine if a categorical syllogism is valid. One way uses Venn diagrams, and the other involves applying some simple rules.

3.3.1 Diagram Method

Since we have three terms in the argument, we’ll need three intersecting circles. We’ll start by drawing two circles for the conclusion, just as we did before. Then, in the middle and below, we’ll draw another circle for the middle term. For labels, use letters that correspond to the classes in the argument. Here, we’ll use D for dogs, M for mammals, and A for animals.

Figure 3.7: Diagramming a categorical syllogism, step 1

Next, we finish diagramming the premises by shading or placing an x. Since our first premise is ``All dogs are mammals,’’ we need to shade everything in the D circle that is not in the M circle.

Figure 3.8: Diagramming a categorical syllogism, step 2

Next, we diagram the second premise by shading everything that is in the M circle but not in the A circle.

Figure 3.9: Diagramming a categorical syllogism, step 3

If there is any circle that has only one region left unshaded, you can place an `X’ in that region. This is because categorical logic assumes that there are no empty categories, meaning that every category has at least one thing in it. This is really only important for arguments that have an I or an O-sentence for a conclusion. In this case, we won’t worry about it. Now that the premises are diagrammed, check to see if the conclusion has also been diagrammed. If so, then the argument is valid. This shows that making the premises true was enough to make the conclusion true also.

Let’s try to diagram this argument:

• No introverts are politicians
• All artists are introverts
• No artists are politicians

Figure 3.10: Celarent

• Some horses are things that weigh over 2,000 pounds.
• All horses are mammals.
• Some mammals are things that weigh over 2,000 pounds.

Figure 3.11: Disamis

3.3.2 Hints for Diagramming Categorical Syllogisms

• Diagram universals before particulars (shade before making an x.)
• If it is not clear where the x goes, then put it on the line.

3.4 Rules for Categorical Syllogisms

There is another way to determine validity for categorical syllogisms. Every valid syllogism must meet three conditions:

• There must be the same number of negations in the conclusion as in the premises.
• The middle term must be distributed at least once.
• Any term distributed in the conclusion must be distributed in the premises.

Before these rules can be applied, we’ll have to explain what distribution is. Every categorical statement says something about a category or class. A statement distributes a term just in case what it says about that class is true of every subset of the class. To remember when something is distributed, keep this in mind:

• Universals distribute subjects, and
• Negations distribute predicates.

So, A-sentences distribute the subject, E-sentences distribute both terms, I-sentences don’t distribute anything, and O sentences distribute the predicate.

3.5 Relations of Equivalence

Properly formed categorical syllogisms have only three terms. Unfortunately, some arguments that you will encounter won’t always be in proper form. One common way this happens is for a person to use a term like “Americans” in one premise, but use “non-Americans” in another. This can result in a syllogism with four or more terms, making it impossible to evaluate using either of our two methods. What we then need to do is to convert the sentence using one of the terms into a logically equivalent sentence that uses the other term.

There are three operations that can be applied to categorical sentences: conversion, obversion, and contraposition. It is important to know both how to apply them and in what cases does an operation result in an equivalent sentence. We’re particularly interested in the conditions that those different operations are truth-preserving . An operation is truth preserving when, applied to a true sentence, it always results in a true sentence.

3.5.1 Conversion

Conversion is the simplest of the three. The converse of a sentence simply exchanges the subject and predicate terms of the original sentence. Conversion applied to A-sentences is truth-preserving. “All dogs are mammals” is true, but “All mammals are dogs” is not. Conversion is truth-preserving for E-sentences and I-sentences. If it is true that no dogs are reptiles, it must be true that no reptiles are dots. Likewise, if it is true that some dogs are brown things, it must be true that some brown things are dogs.

3.5.2 Obversion

Take another look at the square of opposition in figure 4.1. Note that the A and the E are straight across from each other, as are the I and the O. The first step in forming the obverse is to first change the sentence into the type that is straight across the square of opposition. That is, if you started with an A-sentence, then make it into and E. The O becomes and I, and so on.

Once you’ve changed the sentence type, the next step is to change predicate into its complement. The complement of a class C is the class of everything that is not in C . The easiest way to form a complement is to prefix the class with `non’. For example, the complement of the class of students is the class of non-students.

So, the obverse of all dogs are mammals is no dogs are non-mammals. The obverse of no OBU students are martians is all OBU students are non-martians. Obversion is truth-preserving in all cases.

3.5.3 Contraposition

The last of our three relations is contraposition. To form the contrapositive of a sentence, first form the converse, then exchange both terms for their complements.

The contrapositive of all dogs are mammals is all non-mammals are non-dogs. Contraposition is truth-preserving for A-sentences and O-sentences only.

Here’s a table to help keep this straight (operations that are truth-preserving are in bold type):

3.5.4 Example

• All Catholics are non-Protestants.
• All Lutherans are Protestants.
• No Catholics are Lutherans.

Note that this argument has four terms:

• Non-Protestants
• Protestants

To evaluate the argument, we will first have to either change “non-Protestants” to “Protestants” in the first premise, or “Protestants” to “non-Protestants” in the second premise and conclusion. To minimize errors, we should probably try the option requiring the fewest changes. The only two truth-preserving operations on A-sentences are obversion and contraposition. The contrapositive of “All Catholics are non-Protestants” is “All non-non-Protestants are non-Catholics.” The double-non will cancel out, which will fix our original problem, but it will leave us with a new term, “non-Catholic.” So, let’s try the obverse. The obverse of “All Catholics are non-Protestants” is “No Catholics are Protestants.” So, using that for our first premise, the argument becomes:

• No Catholics are Protestants.

Now, we can check for validity — I’ll leave that for you.

The letters A, E, I, and O, are thought to come from the first two vowels of the Latin words affirmo and nego , meaning “I affirm” and “I deny.” ↩︎

Faith, Reason, and Critical Thinking

It is not unusual to hear discussions of the relationship between faith and reason, or science and religion, cast in terms of the blind acceptance of unquestionable propositions (religion) versus careful, skeptical, and critical rational reflection (science). Indeed, one of the hallmarks of religious faith, at least as commonly depicted in a great deal of our daily public discourse, is that it rests on claims that are “incontestable”—that is, impervious to skeptical scrutiny, empirical or logical analysis, or rational dispute. In contrast, scientific or secular knowledge claims are presumed to rest on “evidence” and the sure foundation of rational and/or empirical demonstration. As Suzanna Sherry (1996) has written, for example, someone operating under the epistemology of faith is “able to ignore contradictions, contrary evidence, and logical implications. Indeed, one test of faith is its capacity to resist the blandishments of rationality; the stronger the rational arguments against a belief, the more faith is needed to adhere to it” (p. 482). In contrast, “secular science and liberal politics, both committed to the primacy of reason, necessarily deny that any truth is incontestable” (p. 479).

Contrary to the naïve assumption that faith and reason must necessarily have a mutually allergic relationship, religious belief can often be strengthened and supported by critical, rational reflection. Indeed, as people of faith, we should always be willing to think critically about all of our beliefs. This does not mean we should approach intellectual questions about doctrines and beliefs with an attitude of scholarly aloofness or dismissive skepticism, nor does it mean that we should adopt a disparaging or fault-finding stance towards religious teachings. Good critical thinkers are not, as is sometimes uncritically assumed, relentless skeptics who—in Nietzsche’s (1967) memorable phrase—“worship the question mark itself as God” (p. 156). Being careful and reflective is not in any way incompatible with also being deeply optimistic and full of hope. Rather, thinking critically means that we look at our assumptions and contrast them with alternatives.

When we think critically, then, we question our basic assumptions in the light of competing or alternative assumptions. This does not necessarily mean we doubt or dismiss our assumptions—that is (again) the flawed fixation of the skeptic. Rather, it means we take them seriously by examining their origins and implications. For example, we might ask, “What does our belief system require of us that a contrasting belief system does not, and why?” Or, we might ask, “If this idea or belief is true, then where does it take me, both logically and practically, if I run with it all the way to its farthest implications?” Such questions are not full of skeptical and paralyzing doubt, but can rather reflect the attempt to more deeply understand (and live) our beliefs. It can also reflect a sincere desire to winnow out the chaff of sloppy thinking or incomplete understanding of our religious faith and spiritual commitments.

When we think critically in this way, we can better understand how our faith (and its assumptions about the world) differs from other perspectives and other beliefs, and what those differences might mean for us. Critical thinking can help us identify, and perhaps even reject, ideas that undermine the core assumptions of our faith. Conversely, it can help us be more open to ideas that do not contradict the core assumptions of our faith, but which at first glance may seem to do so. In short, by learning to think critically, coupled with the guiding influence of spiritual sensitivity, we can become more discerning and thoughtful religious believers. Remember, even Christ, the Son of God, amidst unimaginable suffering and agony upon the cross at Calvary, was willing to ask His Father a deep and troubling question:

And about the ninth hour Jesus cried with a loud voice, saying, Eli, Eli, lama sabachthani? that is to say, My God, my God, why hast thou forsaken me?” (Matt. 27:46).

Now, I assume it is possible that in that moment of utter extremity the Son of God, the Creator of the Universe, and the Savior of all mankind chose to abandon His faith and give in to the temptations of radical skepticism… but I doubt it. There is more than a little irony in Sherry’s claim that for the secularist committed to the primacy of reason no truth claim is incontestable, especially given that such a claim is itself an incontestable truth claim (see, Beckwith, 2015 for a more detailed discussion of this issue).

Beckwith, F. J. (2015). Taking rites seriously: Law, politics, and the reasonableness of faith. New York, NY: Cambridge University Press.

Nietzsche, F. (1967). The genealogy of morals (W. Kaufmann and R. J. Hollingdale, Trans.). New York, NY: Random House.

Sherry, S. (1996). Enlightening the religious clauses. Journal of Contemporary Legal Issues, 7 (1), 473-495.

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Ways to improve your critical thinking

Posted: March 26, 2024 | Last updated: March 26, 2024

Critical thinking is an essential skill for anyone who wishes to be successful in business. It is what allows us to analyze information properly to find appropriate solutions to problems. But it is also important to think critically in every day life; it helps us to filter out fake news, for example.

While most of us have a certain level of critical thinking capacity, there is often room for improvement. Check out this gallery for some tips on how to improve your critical thinking.

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Understand the concept of critical thinking

Before you set about trying to build those critical thinking skills, it is important to first understand what exactly critical thinking is. Put simply, it is the ability to think about ideas and concepts in a critical way.

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It is the difference between accepting what you're told at face value and asking questions such as why you're being told that and what is the motivation of the speaker.

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Ask questions

It follows, then, that when learning to think critically it is important to ask questions. When you next read a report or listen to a presentation, try and ask as many questions as you can.

Although you run the risk of winding up the presenter, asking questions is in everyone's interest because it can help to expose weaknesses in logic and pave the way for a better solution to a problem.

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Question yourself

In addition to asking questions about the information in front of you, it is important also to question your own thoughts and actions on a regular basis.

Questioning yourself will help you identify behaviors that are unhelpful or self-defeating. All too often we continue with a certain behavior because it seems right, when in fact it is making things worse.

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Pay attention to all incoming information

It is paramount that you pay attention to all information coming your way, whether or not it comes from a source or person you agree with.

People without critical thinking skills tend to tune out information that they don't want to hear, when in fact people we don't like nearly always have something useful to say.

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Develop foresight

Good critical thinking always involves an element of foresight. Successful critical thinkers are able to use the information available to them to predict what will happen in the future.

However, foresight is not about clairvoyants and tarot cards. Instead it is about carefully considering all the possible consequences of a certain action.

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Reduce time-wasting

Critical thinking, like anything else, takes practice. It is therefore a good idea to rid your life of time-wasting activities, such as Netflix bingeing, so you have more time to practice.

That does not mean to say you shouldn't relax, however. In fact, the brain needs downtime in order to develop. Try and go for something more stimulating, though, like reading a book.

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Plan your day

The more you practice critical thinking, the more easily it will come. In the beginning, however, it takes time. It is therefore important to maximize your time by planning carefully.

Prioritize your tasks and don't bite off more than you can chew. Make sure that you are allowing yourself enough time to really focus on each of your projects and consider them critically.

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Practice critical thinking in your daily life

Do not limit your critical thinking practice to office hours. While being able to think critically is a must if you want to be successful in business, it is also an important life skill in everyday life.

Next time you are choosing a book to read or watching the news, ask yourself what you want to gain from the book, or why that newsreader is emphasizing a particular story.

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Keep a thought journal

Try to keep a record of difficult situations that arise and how you handle them. Writing down your thoughts on such situations will help you to reflect better on your own actions.

It may not be easy at first, but laying bare your reactions to a difficult situation will help you to identify and eliminate destructive behaviors and therefore solve problems more efficiently.

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Check your ego

Having a big head can inhibit critical thinking since it makes it difficult to be objective when assessing a situation. However, being too altruistic doesn't help either.

Try to assign the same level of importance to both your needs and the needs of others. When analyzing a situation, try to focus on people's motivations; why do they want a certain outcome?

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Practice active listening

Active listening involves truly paying attention while someone else is talking, and not letting your eyes glaze over and your mind run off elsewhere.

Not only is it rude not to listen properly when someone is presenting, but you will miss important information and/or ideas that should be submitted to your own mental analysis.

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Evaluate existing evidence

If you have a business problem to solve, the likelihood is that someone before you has solved a very similar if not identical issue. Make the most of past learnings to help you in the present.

Ask yourself whether you have encountered the issue before and, if not, speak to others. Use all the information available to you to find a successful solution.

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Engage a mentor

Like many other things in life, critical thinking can be taught. If the tips in this gallery aren't enough, it may be an idea to find a mentor who can help you on your way to becoming a critical thinking expert.

A mentor may be able to frame critical thinking in such a way that it becomes more accessible and natural to you, and they may have resources for you to practice with.

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Participate in team-building activities

Many team-building activities put on by companies have the aim of improving the critical thinking skills of employees.

Try not to let the thought of your next team-building session fill you with dread. Instead, see it as an opportunity to hone those critical thinking skills and give you a competitive advantage.

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Take on a leadership role

If you're feeling confident, why not throw yourself in the deep end and volunteer to lead a project? Leaders are required to constantly think critically, meaning you'll have loads of practice.

And as we all know, practice makes perfect. So next time your boss asks for a volunteer to head a new initiative, why not take the plunge?

Sources: (Indeed) (Small Businessify)

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AI is a tool for collaboration with humans that extends our brainpower rather than replacing it.

In 1816, 18-year-old Mary Shelley wrote her timeless masterpiece, Frankenstein . Born of a vivid nightmare, the book's lonely mad scientist, Dr. Victor Frankenstein, discovers how to animate life and cobbles together a living Creature from stolen human body parts and feral animals. Larger than life, his creation repulses and torments him, and Victor spends the rest of his life both running from it and trying to destroy it. In the end, the Creature proves resilient but miserable, unable to achieve what it wants most: human connection.

In many ways, AI is our Creature. We've created something far more powerful than we imagined possible, with a faster uptake than any human innovation before it. According to Oliver Wyman Forum, ChatGPT reached critical mass adoption in the US in just 10 months, compared to 17 years for the internet and 21 years for smartphones. A recent report reveals that 54% of US companies have already implemented generative AI in some aspect of their business. It too is larger than life and a little frightening, but we can't run away.

In his smart new book, Co-intelligence: Living and Working With AI , Wharton professor Ethan Mollick makes a compelling case for why—and how—we should embrace AI. It starts with connection. AI, he writes, is a co-intelligence, a tool for collaboration with humans that extends our brainpower rather than replacing it. As a working partner, AI puts infinite resources at our fingertips and takes away our most tedious tasks. There are plenty of reasons to be wary of where AI will go (Mollick acknowledges his own sleepless nights imagining an out-of-control AI or bad actors using it for ill-gotten gains). And it has already exacted a human toll: contract workers in low wage countries suffer to weed out objectionable content, without recourse for the traumatic nature of the work. But, Mollick asserts, we are living in a moment of great learning potential not just for companies but for ordinary individuals. However, we won’t unlock its riches until we start to really use it.

Mollick’s book offers rich arguments for how today’s AI experiments ensure a future where co-intelligence makes work more productive and enjoyable. First, employers have to reframe its potential, mitigate fear and celebrate those who use it. Despite broad acceptance and adoption, many employees still hide their own use: in a late 2023 survey , 64% of employees admitted having passed off AI work as their own. Here are five insights from Mollick’s book to help you come out of the AI closet, deepen your expertise and make you an AI innovator.

Bring AI To Every Table

Generative AI, available to most of us as large language models or LLMs, is more than just a search engine that tells a story. Mollick encourages us to think of it as a partner who wears many hats. As a tutor or a coach, it asks good questions, gives feedback, makes suggestions and supports learning, even in highly technical spaces. AI levels the playing field, benefiting lower skilled workers and learners in a broad range of disciplines, bringing their results in line with their higher skilled peers. As a coworker, it can check your work, offer alternative approaches or act as devil's advocate. As it readily adopts personas, it invites marketers to test product ideas, entrepreneurs to perfect venture capital pitches and lawyers to practice negotiation, guided by AI-driven counterparts. Finally, unlike any technological advance before it, AI democratizes innovation. It's an expensive proposition for companies to make the leap, but it's free for you. Your insights as a user in as many contexts as possible will guide the future of AI use and help your organization understand where LLMs best support their objectives and outcomes. That makes you a most valuable player.

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AI doesn’t act like other software because it's built on human knowledge, language and humanity. And like humans, it’s fallible. LLMs operate by recognizing patterns in data, generating answers using words or tokens that are statistically most likely to come next. But it cannot verify the quality or the veracity of the responses it produces. It leans on generations of data with embedded bias, and can’t tell the difference. Unlike software designed to produce a consistent result every time, AI is not fixed, answering the same questions in different ways depending on who is asking. As Mollick explains, for most of us, it’s an advantage, working with us as we work with each other. Despite its imperfections, adding an AI perspective to your thinking can help you generate more and often better ideas. But keep a cool head: AI users (even AI researchers ) have a tendency to anthropomorphize AI, to ascribe human characteristics to its decidedly non-human, and still non-sentient, functions. Its ability to mimic makes it excellent at replicating human emotion, at delivering a manufactured empathy that can feel satisfying and real. This murky, if natural, perception opens the door to emotional manipulation, false agency and counterfeit duplicity. A cool head will protect a warm heart.

Be The Human In The Loop

There is no handbook on AI. Even the experts don’t really understand the lines between its brilliant successes and its abject failures. LLMs are known to hallucinate, to package insights together in a fabricated way. Mollick reminds us that they want to please—when pushed they will work harder to generate an answer, even if it’s pure bunk. Problems of seemingly similar difficulty can yield good outputs or bad, but human expertise is critical to understanding the line—what he and his colleagues call the jagged frontier . Mollick’s research with Boston Consulting Group revealed that consulting teams using AI produced 40% higher quality than those who didn’t; they used it with care, keeping human judgment front and center. Some teams delineated human and artificial tasks like a centaur, he explains, where the human is clearly separate from the horse. Others used it as a cyborg, a man-machine amalgam, AI tasks were inextricably woven into the team’s human efforts. No team took the AI’s outputs at face value, but all outperformed the non-AI supported teams. AI is most powerful when its human partners do not abdicate their responsibility to be the human in the loop.

Start With What You Know

The best place to start is in the area you know best—your own expertise. By introducing AI into your work, you can enhance your outcomes and be more efficient because your subject-matter expertise becomes a check on the jagged frontier. Mollick writes, “In field after field, we are finding that a human working with an AI co-intelligence outperforms all but the best humans working without an AI.” And this isn’t about replacement—it’s about augmentation. Knowledge jobs are rarely unidimensional: every role is a portfolio of different responsibilities, some you enjoy and others you dread. By successfully incorporating AI to supplant or enhance portions of what you do, it opens the opportunity for more meaningful work in the areas where human judgment, critical thinking and creativity excel. And team leaders take note—a workplace culture that reframes AI as an opportunity for experimentation and more meaningful work may help you attract and retain better people.

Get Good At Giving Feedback

AI isn’t great without guidance. The simplest queries result in the weakest responses. You need a more complex approach to engaging AI: telling it what perspective to take to answer your question, and giving it examples of what you seek. In one anecdote, Mollick posed the same question several times, asking the LLM to debate him in one iteration, teach him in another. In the former example, the LLM was combative and provocative, never agreeing with him, but testing and strengthening his views. In the latter case, the LLM was thoughtful, reflective and able to contextualize the implications of his question. The more detail, the better the outcome. Using “chain of thought” queries, you can break your request into transparent steps. First, outline the problem, second, write the first line of each paragraph explaining it, third, write the analysis, fourth, check for inconsistencies, and so forth. This helps you surface the logic the LLM is leveraging, clarifying the process and helping you to build on its outputs. Over time, AIs will better understand the motives of their human partners and detailed prompts may become superfluous. In the meantime, feedback trains the AI to produce higher quality, more cogent responses.

In Co-Intelligence , Ethan Mollick depicts the very world Frankenstein’s Creature craved: a satisfying relationship with human beings. With a collaborative approach, we can bring the best of human and artificial intelligence to unimaginable new frontiers. Co-Intelligence is a terrific read, full of practical examples to augment or support your work—as long as you use AI with care and a critical eye. But Mollick’s no Pollyanna. He is sanguine about the future, clear that we don't yet know where generative AI will go, and whether its outputs will ever align with a set of human values we can trust. Learning to collaborate with AI helps you supercharge your performance and broaden your intelligence, when you stay alert to its pitfalls. But like every relationship, it will take work.

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