logic and critical thinking subject

Introduction to Logic and Critical Thinking

(10 reviews)

Matthew Van Cleave, Lansing Community College

Copyright Year: 2016

Publisher: Matthew J. Van Cleave

Language: English

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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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PHIL102: Introduction to Critical Thinking and Logic

Course introduction.

• Time: 40 hours
• College Credit Recommended ($25 Proctor Fee) -->
• Free Certificate

The course touches upon a wide range of reasoning skills, from verbal argument analysis to formal logic, visual and statistical reasoning, scientific methodology, and creative thinking. Mastering these skills will help you become a more perceptive reader and listener, a more persuasive writer and presenter, and a more effective researcher and scientist.

The first unit introduces the terrain of critical thinking and covers the basics of meaning analysis, while the second unit provides a primer for analyzing arguments. All of the material in these first units will be built upon in subsequent units, which cover informal and formal logic, Venn diagrams, scientific reasoning, and strategic and creative thinking.

Course Syllabus

First, read the course syllabus. Then, enroll in the course by clicking "Enroll me". Click Unit 1 to read its introduction and learning outcomes. You will then see the learning materials and instructions on how to use them.

Unit 1: Introduction and Meaning Analysis

Critical thinking is a broad classification for a diverse array of reasoning techniques. In general, critical thinking works by breaking arguments and claims down to their basic underlying structure so we can see them clearly and determine whether they are rational. The idea is to help us do a better job of understanding and evaluating what we read, what we hear, and what we write and say.

In this unit, we will define the broad contours of critical thinking and learn why it is a valuable and useful object of study. We will also introduce the fundamentals of meaning analysis: the difference between literal meaning and implication, the principles of definition, how to identify when a disagreement is merely verbal, the distinction between necessary and sufficient conditions, and problems with the imprecision of ordinary language.

Completing this unit should take you approximately 5 hours.

Unit 2: Argument Analysis

Arguments are the fundamental components of all rational discourse: nearly everything we read and write, like scientific reports, newspaper columns, and personal letters, as well as most of our verbal conversations, contain arguments. Picking the arguments out from the rest of our often convoluted discourse can be difficult. Once we have identified an argument, we still need to determine whether or not it is sound. Luckily, arguments obey a set of formal rules that we can use to determine whether they are good or bad.

In this unit, you will learn how to identify arguments, what makes an argument sound as opposed to unsound or merely valid, the difference between deductive and inductive reasoning, and how to map arguments to reveal their structure.

Completing this unit should take you approximately 7 hours.

Unit 3: Basic Sentential Logic

This unit introduces a topic that many students find intimidating: formal logic. Although it sounds difficult and complicated, formal (or symbolic) logic is actually a fairly straightforward way of revealing the structure of reasoning. By translating arguments into symbols, you can more readily see what is right and wrong with them and learn how to formulate better arguments. Advanced courses in formal logic focus on using rules of inference to construct elaborate proofs. Using these techniques, you can solve many complicated problems simply by manipulating symbols on the page. In this course, however, you will only be looking at the most basic properties of a system of logic. In this unit, you will learn how to turn phrases in ordinary language into well-formed formulas, draw truth tables for formulas, and evaluate arguments using those truth tables.

Completing this unit should take you approximately 13 hours.

Unit 4: Venn Diagrams

In addition to using predicate logic, the limitations of sentential logic can also be overcome by using Venn diagrams to illustrate statements and arguments. Statements that include general words like "some" or "few" as well as absolute words like "every" and "all" – so-called categorical statements – lend themselves to being represented on paper as circles that may or may not overlap.

Venn diagrams are especially helpful when dealing with logical arguments called syllogisms. Syllogisms are a special type of three-step argument with two premises and a conclusion, which involve quantifying terms. In this unit, you will learn the basic principles of Venn diagrams, how to use them to represent statements, and how to use them to evaluate arguments.

Completing this unit should take you approximately 6 hours.

Unit 5: Fallacies

Now that you have studied the necessary structure of a good argument and can represent its structure visually, you might think it would be simple to pick out bad arguments. However, identifying bad arguments can be very tricky in practice. Very often, what at first appears to be ironclad reasoning turns out to contain one or more subtle errors.

Fortunately, there are many easily identifiable fallacies (mistakes of reasoning) that you can learn to recognize by their structure or content. In this unit, you will learn about the nature of fallacies, look at a couple of different ways of classifying them, and spend some time dealing with the most common fallacies in detail.

Completing this unit should take you approximately 3 hours.

Unit 6: Scientific Reasoning

Unlike the syllogistic arguments you explored in the last unit, which are a form of deductive argument, scientific reasoning is empirical. This means that it depends on observation and evidence, not logical principles. Although some principles of deductive reasoning do apply in science, such as the principle of contradiction, scientific arguments are often inductive. For this reason, science often deals with confirmation and disconfirmation.

Nonetheless, there are general guidelines about what constitutes good scientific reasoning, and scientists are trained to be critical of their inferences and those of others in the scientific community. In this unit, you will investigate some standard methods of scientific reasoning, some principles of confirmation and disconfirmation, and some techniques for identifying and reasoning about causation.

Completing this unit should take you approximately 4 hours.

Unit 7: Strategic Reasoning and Creativity

While most of this course has focused on the types of reasoning necessary to critique and evaluate existing knowledge or to extend our knowledge following correct procedures and rules, an enormous branch of our reasoning practice runs in the opposite direction. Strategic reasoning, problem-solving, and creative thinking all rely on an ineffable component of novelty supplied by the thinker.

Despite their seemingly mystical nature, problem-solving and creative thinking are best approached by following tried and tested procedures that prompt our cognitive faculties to produce new ideas and solutions by extending our existing knowledge. In this unit, you will investigate problem-solving techniques, representing complex problems visually, making decisions in risky and uncertain scenarios, and creative thinking in general.

Completing this unit should take you approximately 2 hours.

Study Guide

This study guide will help you get ready for the final exam. It discusses the key topics in each unit, walks through the learning outcomes, and lists important vocabulary terms. It is not meant to replace the course materials!

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Introduction to Logic and Critical Thinking 2e (van Cleave)

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• Page ID 26799

• Matthew Van Cleave
• Lansing Community College

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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.”

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Wireless Philosophy

Course: wireless philosophy   >   unit 1, fundamentals: introduction to critical thinking.

• Introduction to Critical Thinking, Part 1
• Introduction to Critical Thinking, Part 2
• Fundamentals: Deductive Arguments
• Deductive Arguments
• Fundamentals: Abductive Arguments
• Necessary and Sufficient Conditions
• Instrumental vs. Intrinsic Value
• Implicit Premise
• Justification and Explanation
• Normative and Descriptive Claims
• Fundamentals: Validity
• Fundamentals: Truth and Validity
• Fundamentals: Soundness
• Fundamentals: Bayes' Theorem
• Fundamentals: Correlation and Causation

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Video transcript

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 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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Supplement to Critical Thinking

This supplement elaborates on the history of the articulation, promotion and adoption of critical thinking as an educational goal.

John Dewey (1910: 74, 82) introduced the term ‘critical thinking’ as the name of an educational goal, which he identified with a scientific attitude of mind. More commonly, he called the goal ‘reflective thought’, ‘reflective thinking’, ‘reflection’, or just ‘thought’ or ‘thinking’. He describes his book as written for two purposes. The first was to help people to appreciate the kinship of children’s native curiosity, fertile imagination and love of experimental inquiry to the scientific attitude. The second was to help people to consider how recognizing this kinship in educational practice “would make for individual happiness and the reduction of social waste” (iii). He notes that the ideas in the book obtained concreteness in the Laboratory School in Chicago.

Dewey’s ideas were put into practice by some of the schools that participated in the Eight-Year Study in the 1930s sponsored by the Progressive Education Association in the United States. For this study, 300 colleges agreed to consider for admission graduates of 30 selected secondary schools or school systems from around the country who experimented with the content and methods of teaching, even if the graduates had not completed the then-prescribed secondary school curriculum. One purpose of the study was to discover through exploration and experimentation how secondary schools in the United States could serve youth more effectively (Aikin 1942). Each experimental school was free to change the curriculum as it saw fit, but the schools agreed that teaching methods and the life of the school should conform to the idea (previously advocated by Dewey) that people develop through doing things that are meaningful to them, and that the main purpose of the secondary school was to lead young people to understand, appreciate and live the democratic way of life characteristic of the United States (Aikin 1942: 17–18). In particular, school officials believed that young people in a democracy should develop the habit of reflective thinking and skill in solving problems (Aikin 1942: 81). Students’ work in the classroom thus consisted more often of a problem to be solved than a lesson to be learned. Especially in mathematics and science, the schools made a point of giving students experience in clear, logical thinking as they solved problems. The report of one experimental school, the University School of Ohio State University, articulated this goal of improving students’ thinking:

Critical or reflective thinking originates with the sensing of a problem. It is a quality of thought operating in an effort to solve the problem and to reach a tentative conclusion which is supported by all available data. It is really a process of problem solving requiring the use of creative insight, intellectual honesty, and sound judgment. It is the basis of the method of scientific inquiry. The success of democracy depends to a large extent on the disposition and ability of citizens to think critically and reflectively about the problems which must of necessity confront them, and to improve the quality of their thinking is one of the major goals of education. (Commission on the Relation of School and College of the Progressive Education Association 1943: 745–746)

The Eight-Year Study had an evaluation staff, which developed, in consultation with the schools, tests to measure aspects of student progress that fell outside the focus of the traditional curriculum. The evaluation staff classified many of the schools’ stated objectives under the generic heading “clear thinking” or “critical thinking” (Smith, Tyler, & Evaluation Staff 1942: 35–36). To develop tests of achievement of this broad goal, they distinguished five overlapping aspects of it: ability to interpret data, abilities associated with an understanding of the nature of proof, and the abilities to apply principles of science, of social studies and of logical reasoning. The Eight-Year Study also had a college staff, directed by a committee of college administrators, whose task was to determine how well the experimental schools had prepared their graduates for college. The college staff compared the performance of 1,475 college students from the experimental schools with an equal number of graduates from conventional schools, matched in pairs by sex, age, race, scholastic aptitude scores, home and community background, interests, and probable future. They concluded that, on 18 measures of student success, the graduates of the experimental schools did a somewhat better job than the comparison group. The graduates from the six most traditional of the experimental schools showed no large or consistent differences. The graduates from the six most experimental schools, on the other hand, had much greater differences in their favour. The graduates of the two most experimental schools, the college staff reported:

… surpassed their comparison groups by wide margins in academic achievement, intellectual curiosity, scientific approach to problems, and interest in contemporary affairs. The differences in their favor were even greater in general resourcefulness, in enjoyment of reading, [in] participation in the arts, in winning non-academic honors, and in all aspects of college life except possibly participation in sports and social activities. (Aikin 1942: 114)

One of these schools was a private school with students from privileged families and the other the experimental section of a public school with students from non-privileged families. The college staff reported that the graduates of the two schools were indistinguishable from each other in terms of college success.

In 1933 Dewey issued an extensively rewritten edition of his How We Think (Dewey 1910), with the sub-title “A restatement of the relation of reflective thinking to the educative process”. Although the restatement retains the basic structure and content of the original book, Dewey made a number of changes. He rewrote and simplified his logical analysis of the process of reflection, made his ideas clearer and more definite, replaced the terms ‘induction’ and ‘deduction’ by the phrases ‘control of data and evidence’ and ‘control of reasoning and concepts’, added more illustrations, rearranged chapters, and revised the parts on teaching to reflect changes in schools since 1910. In particular, he objected to one-sided practices of some “experimental” and “progressive” schools that allowed children freedom but gave them no guidance, citing as objectionable practices novelty and variety for their own sake, experiences and activities with real materials but of no educational significance, treating random and disconnected activity as if it were an experiment, failure to summarize net accomplishment at the end of an inquiry, non-educative projects, and treatment of the teacher as a negligible factor rather than as “the intellectual leader of a social group” (Dewey 1933: 273). Without explaining his reasons, Dewey eliminated the previous edition’s uses of the words ‘critical’ and ‘uncritical’, thus settling firmly on ‘reflection’ or ‘reflective thinking’ as the preferred term for his subject-matter. In the revised edition, the word ‘critical’ occurs only once, where Dewey writes that “a person may not be sufficiently critical about the ideas that occur to him” (1933: 16, italics in original); being critical is thus a component of reflection, not the whole of it. In contrast, the Eight-Year Study by the Progressive Education Association treated ‘critical thinking’ and ‘reflective thinking’ as synonyms.

In the same period, Dewey collaborated on a history of the Laboratory School in Chicago with two former teachers from the school (Mayhew & Edwards 1936). The history describes the school’s curriculum and organization, activities aimed at developing skills, parents’ involvement, and the habits of mind that the children acquired. A concluding chapter evaluates the school’s achievements, counting as a success its staging of the curriculum to correspond to the natural development of the growing child. In two appendices, the authors describe the evolution of Dewey’s principles of education and Dewey himself describes the theory of the Chicago experiment (Dewey 1936).

Glaser (1941) reports in his doctoral dissertation the method and results of an experiment in the development of critical thinking conducted in the fall of 1938. He defines critical thinking as Dewey defined reflective thinking:

Critical thinking calls for a persistent effort to examine any belief or supposed form of knowledge in the light of the evidence that supports it and the further conclusions to which it tends. (Glaser 1941: 6; cf. Dewey 1910: 6; Dewey 1933: 9)

In the experiment, eight lesson units directed at improving critical thinking abilities were taught to four grade 12 high school classes, with pre-test and post-test of the students using the Otis Quick-Scoring Mental Ability Test and the Watson-Glaser Tests of Critical Thinking (developed in collaboration with Glaser’s dissertation sponsor, Goodwin Watson). The average gain in scores on these tests was greater to a statistically significant degree among the students who received the lessons in critical thinking than among the students in a control group of four grade 12 high school classes taking the usual curriculum in English. Glaser concludes:

The aspect of critical thinking which appears most susceptible to general improvement is the attitude of being disposed to consider in a thoughtful way the problems and subjects that come within the range of one’s experience. An attitude of wanting evidence for beliefs is more subject to general transfer. Development of skill in applying the methods of logical inquiry and reasoning, however, appears to be specifically related to, and in fact limited by, the acquisition of pertinent knowledge and facts concerning the problem or subject matter toward which the thinking is to be directed. (Glaser 1941: 175)

Retest scores and observable behaviour indicated that students in the intervention group retained their growth in ability to think critically for at least six months after the special instruction.

In 1948 a group of U.S. college examiners decided to develop taxonomies of educational objectives with a common vocabulary that they could use for communicating with each other about test items. The first of these taxonomies, for the cognitive domain, appeared in 1956 (Bloom et al. 1956), and included critical thinking objectives. It has become known as Bloom’s taxonomy. A second taxonomy, for the affective domain (Krathwohl, Bloom, & Masia 1964), and a third taxonomy, for the psychomotor domain (Simpson 1966–67), appeared later. Each of the taxonomies is hierarchical, with achievement of a higher educational objective alleged to require achievement of corresponding lower educational objectives.

Bloom’s taxonomy has six major categories. From lowest to highest, they are knowledge, comprehension, application, analysis, synthesis, and evaluation. Within each category, there are sub-categories, also arranged hierarchically from the educationally prior to the educationally posterior. The lowest category, though called ‘knowledge’, is confined to objectives of remembering information and being able to recall or recognize it, without much transformation beyond organizing it (Bloom et al. 1956: 28–29). The five higher categories are collectively termed “intellectual abilities and skills” (Bloom et al. 1956: 204). The term is simply another name for critical thinking abilities and skills:

Although information or knowledge is recognized as an important outcome of education, very few teachers would be satisfied to regard this as the primary or the sole outcome of instruction. What is needed is some evidence that the students can do something with their knowledge, that is, that they can apply the information to new situations and problems. It is also expected that students will acquire generalized techniques for dealing with new problems and new materials. Thus, it is expected that when the student encounters a new problem or situation, he will select an appropriate technique for attacking it and will bring to bear the necessary information, both facts and principles. This has been labeled “critical thinking” by some, “reflective thinking” by Dewey and others, and “problem solving” by still others. In the taxonomy, we have used the term “intellectual abilities and skills”. (Bloom et al. 1956: 38)

Comprehension and application objectives, as their names imply, involve understanding and applying information. Critical thinking abilities and skills show up in the three highest categories of analysis, synthesis and evaluation. The condensed version of Bloom’s taxonomy (Bloom et al. 1956: 201–207) gives the following examples of objectives at these levels:

• analysis objectives : ability to recognize unstated assumptions, ability to check the consistency of hypotheses with given information and assumptions, ability to recognize the general techniques used in advertising, propaganda and other persuasive materials
• synthesis objectives : organizing ideas and statements in writing, ability to propose ways of testing a hypothesis, ability to formulate and modify hypotheses
• evaluation objectives : ability to indicate logical fallacies, comparison of major theories about particular cultures

The analysis, synthesis and evaluation objectives in Bloom’s taxonomy collectively came to be called the “higher-order thinking skills” (Tankersley 2005: chap. 5). Although the analysis-synthesis-evaluation sequence mimics phases in Dewey’s (1933) logical analysis of the reflective thinking process, it has not generally been adopted as a model of a critical thinking process. While commending the inspirational value of its ratio of five categories of thinking objectives to one category of recall objectives, Ennis (1981b) points out that the categories lack criteria applicable across topics and domains. For example, analysis in chemistry is so different from analysis in literature that there is not much point in teaching analysis as a general type of thinking. Further, the postulated hierarchy seems questionable at the higher levels of Bloom’s taxonomy. For example, ability to indicate logical fallacies hardly seems more complex than the ability to organize statements and ideas in writing.

A revised version of Bloom’s taxonomy (Anderson et al. 2001) distinguishes the intended cognitive process in an educational objective (such as being able to recall, to compare or to check) from the objective’s informational content (“knowledge”), which may be factual, conceptual, procedural, or metacognitive. The result is a so-called “Taxonomy Table” with four rows for the kinds of informational content and six columns for the six main types of cognitive process. The authors name the types of cognitive process by verbs, to indicate their status as mental activities. They change the name of the ‘comprehension’ category to ‘understand’ and of the ‘synthesis’ category to ’create’, and switch the order of synthesis and evaluation. The result is a list of six main types of cognitive process aimed at by teachers: remember, understand, apply, analyze, evaluate, and create. The authors retain the idea of a hierarchy of increasing complexity, but acknowledge some overlap, for example between understanding and applying. And they retain the idea that critical thinking and problem solving cut across the more complex cognitive processes. The terms ‘critical thinking’ and ‘problem solving’, they write:

are widely used and tend to become touchstones of curriculum emphasis. Both generally include a variety of activities that might be classified in disparate cells of the Taxonomy Table. That is, in any given instance, objectives that involve problem solving and critical thinking most likely call for cognitive processes in several categories on the process dimension. For example, to think critically about an issue probably involves some Conceptual knowledge to Analyze the issue. Then, one can Evaluate different perspectives in terms of the criteria and, perhaps, Create a novel, yet defensible perspective on this issue. (Anderson et al. 2001: 269–270; italics in original)

In the revised taxonomy, only a few sub-categories, such as inferring, have enough commonality to be treated as a distinct critical thinking ability that could be taught and assessed as a general ability.

A landmark contribution to philosophical scholarship on the concept of critical thinking was a 1962 article in the Harvard Educational Review by Robert H. Ennis, with the title “A concept of critical thinking: A proposed basis for research in the teaching and evaluation of critical thinking ability” (Ennis 1962). Ennis took as his starting-point a conception of critical thinking put forward by B. Othanel Smith:

We shall consider thinking in terms of the operations involved in the examination of statements which we, or others, may believe. A speaker declares, for example, that “Freedom means that the decisions in America’s productive effort are made not in the minds of a bureaucracy but in the free market”. Now if we set about to find out what this statement means and to determine whether to accept or reject it, we would be engaged in thinking which, for lack of a better term, we shall call critical thinking. If one wishes to say that this is only a form of problem-solving in which the purpose is to decide whether or not what is said is dependable, we shall not object. But for our purposes we choose to call it critical thinking. (Smith 1953: 130)

Adding a normative component to this conception, Ennis defined critical thinking as “the correct assessing of statements” (Ennis 1962: 83). On the basis of this definition, he distinguished 12 “aspects” of critical thinking corresponding to types or aspects of statements, such as judging whether an observation statement is reliable and grasping the meaning of a statement. He noted that he did not include judging value statements. Cutting across the 12 aspects, he distinguished three dimensions of critical thinking: logical (judging relationships between meanings of words and statements), criterial (knowledge of the criteria for judging statements), and pragmatic (the impression of the background purpose). For each aspect, Ennis described the applicable dimensions, including criteria. He proposed the resulting construct as a basis for developing specifications for critical thinking tests and for research on instructional methods and levels.

In the 1970s and 1980s there was an upsurge of attention to the development of thinking skills. The annual International Conference on Critical Thinking and Educational Reform has attracted since its start in 1980 tens of thousands of educators from all levels. In 1983 the College Entrance Examination Board proclaimed reasoning as one of six basic academic competencies needed by college students (College Board 1983). Departments of education in the United States and around the world began to include thinking objectives in their curriculum guidelines for school subjects. For example, Ontario’s social sciences and humanities curriculum guideline for secondary schools requires “the use of critical and creative thinking skills and/or processes” as a goal of instruction and assessment in each subject and course (Ontario Ministry of Education 2013: 30). The document describes critical thinking as follows:

Critical thinking is the process of thinking about ideas or situations in order to understand them fully, identify their implications, make a judgement, and/or guide decision making. Critical thinking includes skills such as questioning, predicting, analysing, synthesizing, examining opinions, identifying values and issues, detecting bias, and distinguishing between alternatives. Students who are taught these skills become critical thinkers who can move beyond superficial conclusions to a deeper understanding of the issues they are examining. They are able to engage in an inquiry process in which they explore complex and multifaceted issues, and questions for which there may be no clear-cut answers (Ontario Ministry of Education 2013: 46).

Sweden makes schools responsible for ensuring that each pupil who completes compulsory school “can make use of critical thinking and independently formulate standpoints based on knowledge and ethical considerations” (Skolverket 2018: 12). Subject syllabi incorporate this requirement, and items testing critical thinking skills appear on national tests that are a required step toward university admission. For example, the core content of biology, physics and chemistry in years 7-9 includes critical examination of sources of information and arguments encountered by pupils in different sources and social discussions related to these sciences, in both digital and other media. (Skolverket 2018: 170, 181, 192). Correspondingly, in year 9 the national tests require using knowledge of biology, physics or chemistry “to investigate information, communicate and come to a decision on issues concerning health, energy, technology, the environment, use of natural resources and ecological sustainability” (see the message from the School Board ). Other jurisdictions similarly embed critical thinking objectives in curriculum guidelines.

At the college level, a new wave of introductory logic textbooks, pioneered by Kahane (1971), applied the tools of logic to contemporary social and political issues. Popular contemporary textbooks of this sort include those by Bailin and Battersby (2016b), Boardman, Cavender and Kahane (2018), Browne and Keeley (2018), Groarke and Tindale (2012), and Moore and Parker (2020). In their wake, colleges and universities in North America transformed their introductory logic course into a general education service course with a title like ‘critical thinking’ or ‘reasoning’. In 1980, the trustees of California’s state university and colleges approved as a general education requirement a course in critical thinking, described as follows:

Instruction in critical thinking is to be designed to achieve an understanding of the relationship of language to logic, which should lead to the ability to analyze, criticize, and advocate ideas, to reason inductively and deductively, and to reach factual or judgmental conclusions based on sound inferences drawn from unambiguous statements of knowledge or belief. The minimal competence to be expected at the successful conclusion of instruction in critical thinking should be the ability to distinguish fact from judgment, belief from knowledge, and skills in elementary inductive and deductive processes, including an understanding of the formal and informal fallacies of language and thought. (Dumke 1980)

Since December 1983, the Association for Informal Logic and Critical Thinking has sponsored sessions at the three annual divisional meetings of the American Philosophical Association. In December 1987, the Committee on Pre-College Philosophy of the American Philosophical Association invited Peter Facione to make a systematic inquiry into the current state of critical thinking and critical thinking assessment. Facione assembled a group of 46 other academic philosophers and psychologists to participate in a multi-round Delphi process, whose product was entitled Critical Thinking: A Statement of Expert Consensus for Purposes of Educational Assessment and Instruction (Facione 1990a). The statement listed abilities and dispositions that should be the goals of a lower-level undergraduate course in critical thinking. Researchers in nine European countries determined which of these skills and dispositions employers expect of university graduates (Dominguez 2018 a), compared those expectations to critical thinking educational practices in post-secondary educational institutions (Dominguez 2018b), developed a course on critical thinking education for university teachers (Dominguez 2018c) and proposed in response to identified gaps between expectations and practices an “educational protocol” that post-secondary educational institutions in Europe could use to develop critical thinking (Elen et al. 2019).

Copyright © 2022 by David Hitchcock < hitchckd @ mcmaster . ca >

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Curtis Silver

The Importance of Logic and Critical Thinking

"Critical thinking is a desire to seek, patience to doubt, fondness to meditate, slowness to assert, readiness to consider, carefulness to dispose and set in order; and hatred for every kind of imposture." - Francis Bacon (1605)

As parents, we are tasked with instilling a plethora of different values into our children. While some parents in the world choose to instill a lack of values in their kids, those of us that don't want our children growing up to be criminals and various misfits try a bit harder. Values and morality are one piece of the pie. These are important things to mold into a child's mind, but there are also other items in life to focus on as well. It starts with looking both ways to cross the street and either progresses from there, or stops.

If you stopped explaining the world to your children after they learned to cross the street, then perhaps you should stop reading and go back to surfing for funny pictures of cats. I may use some larger words that you might not understand, making you angry and causing you to leave troll-like comments full of bad grammar and moronic thought processes. However, if you looked at the crossing the street issue as I did – as a logical problem with cause and effect and a probable solution – then carry on. You are my target audience.

Or perhaps the opposite is true, as the former are the people that could benefit from letting some critical thinking into their lives. So what exactly is critical thinking? This bit by Linda Elder in a paper on CriticalThinking.org pretty much sums it up:

Through critical thinking, as I understand it, we acquire a means of assessing and upgrading our ability to judge well. It enables us to go into virtually any situation and to figure out the logic of whatever is happening in that situation. It provides a way for us to learn from new experiences through the process of continual self-assessment. Critical thinking, then, enables us to form sound beliefs and judgments, and in doing so, provides us with a basis for a 'rational and reasonable' emotional life. — Inquiry: Critical Thinking Across the Disciplines, Winter, 1996. Vol. XVI, No. 2.

The rationality of the world is what is at risk. Too many people are taken advantage of because of their lack of critical thinking, logic and deductive reasoning. These same people are raising children without these same skills, creating a whole new generation of clueless people.

By Tess Owen

By Reece Rogers

By Will Knight

By Kim Zetter

To wit, a personal tale of deductive reasoning:

Recently I needed a new transmission for the family van. The warranty on the power train covers the transmission up to 100,000 miles. The van has around 68,000 miles on it. Therefore, even the logic-less dimwit could easily figure that the transmission was covered. Well, this was true until the dealership told me that it wasn't, stating that because we didn't get the scheduled transmission service (which is basically a fluid change) at 30,000 and 60,000 miles the warranty was no longer valid. Now, there are many people that would argue this point, but many more that would shrug, panic, and accept the full cost of repairs.

I read the warranty book. I had a receipt that said the fluid was checked at 60,000 but not replaced. A friend on Twitter pointed out the fact that they were using 100,000 mile transmission fluid. So logically, the fluid would not have to be replaced under 100,000 miles if it wasn't needed, right? So why the stipulation that it needed to be replaced at 60,000 and the loose assumption that not doing that would void the warranty? So I asked the warranty guy to show me in the book where the two items are related. Where it explicitly says that if you don't get the service, the transmission isn't covered. There were portions where it said the service was recommended, but never connecting to actual repairs. Finally the warranty guy shrugged, admitted I was right and said the service was covered.

In this case, valid logic equaled truth and a sound argument. I used very simple reasoning and logic to determine that I was being inadvertently screwed. I say "inadvertently" because I truly believe based on their behavior that they were not intentionally trying to screw me. They believed the two items were related, they had had this argument many times before and were not prepared to be questioned. While both the service manager and the warranty guy seemed at least junior college educated, proving my argument to them took longer than it should have between three adults.

However, valid logic does not always guarantee truth or a sound argument. This is where it gets a little funky. Valid logic is when the structure of logic is correct in the way of syntax and semantics rather than truth. Truth comes from deductive reasoning of said logic. For example:

All transmissions are covered parts. All covered parts are free. Therefore, all transmissions are free. This logic is technically valid, and if the premises are true, then of course the conclusion must be true. You can see here however that it's not always true, though in some situations it could be. While the logic is valid, not all transmissions are free, only those covered by the warranty. So based on that, saying all transmissions are free is not sound logic.

To take it one step further:

All Daleks are brown. Some brown things are Cylons . Therefore, some Daleks are Cylons. Sci-fi fan or not, you probably know that this is not true. The basic lesson here is that, while the logic above might seem valid because of the structure of the statement, it takes a further understanding to figure out why it's not necessarily true: That is, based on the first two statements it's possible that some Daleks are Cylons, but it's not logically concludable. That's where deductive reasoning comes on top of the logic. The underlying lesson here is not to immediately assume everything you read or are told is true, something all children need to and should learn.

This is the direct lesson that needs to be passed on to our children: that of not accepting the immediately visible logic. While not all problems are complex enough to require the scientific method, some of them need some deduction to determine if they are true. Take the example above — how many kids would immediately be satisfied with the false conclusion? Sure, it's a bit geeky with the examples, but switch out bears for Daleks and puppies for Cylons. That makes it easier, and takes the actual research out of it (to find out what Daleks and Cylons are respectively) but many people would just accept that in fact some bears are puppies, if presented with this problem in the context of a textbook or word problem.

Maybe I'm being paranoid or thinking too doomsday, whatever, but I think this is an epidemic. Children are becoming lazier and not as self sufficient because their parents have a problem with watching a three year old cry after they tell her to remove her own jeans, or ask her to put away her own toys (yes, organizational logic falls under the main topic). These are the same parents who do their kid's science project while the kid is playing video games. These kids grow up lacking the simple problem solving skills that make navigating life much easier. Remember when you were growing up and you had the plastic stacking toys ? Well, instead of toys for early development like that, parents are just plopping their kids down in front of the television. While there is some educational type programming on television, it's just not the same as hands-on experience.

My father is an engineer, and he taught me logic and reasoning by making me solve simple, then complex, problems on my own. Or at least giving me the opportunity to solve them on my own. This helped develop critical thinking and problem solving skills, something a lot of children lack these days. Too often I see children that are not allowed to solve problems on their own; instead their parents simply do it for them without argument or discussion. Hell, I am surrounded by adults every day that are unable to solve simple problems, instead choosing to immediately ask me at which point I have to fill the role that their parents never did and – knowing the solution – tell them to solve it themselves, or at least try first.

One of the things I like to work on with my kids is math. There is nothing that teaches deductive reasoning and logic better than math word problems. They are at the age where basic algebra can come into play, which sharpens their reasoning skills because they start to view real world issues with algebraic solutions. Another thing is logic puzzles , crossword puzzles and first person shooters. Actually, not that last one. That's just the reward.

Since I weeded out the folks that don't teach their kids logic in the first two paragraphs, as representatives of the real world it's up to the rest of us to spread the knowledge. It won't be easy. The best thing we can do is teach these thought processes to our children, so that they may look at other children with looks of bewilderment when other children are unable to solve simple tasks. Hopefully, they will not simply do the task for them, but teach them to think. I'm not saying we need to build a whole new generation of project managers and analysts, but it would be better than a generation of task-oriented mindless office drones with untied shoelaces, shoving on a door at the Midvale School for the Gifted .

h/t to @aubreygirl22 for the logical conversation. Image: Flickr user William Notowidagdo. Used under Creative Commons License.

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Logic and Critical Thinking

An undergraduate course offered by the School of Philosophy .

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• Unit Value 6 units
• Offered by School of Philosophy
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• Areas of interest Philosophy
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Learning Outcomes

Indicative assessment, inherent requirements, requisite and incompatibility, prescribed texts.

• Offerings and Dates

This course aims to introduce students to practices of argumentation, critical analysis, and evaluation. Such skills in critical thinking are integral to the discipline of philosophy. They are also tremendously useful in other academic domains, in the workplace, and in everyday life. The course aims to help students to understand and develop the skills required for critical thinking, and to encourage them to explore the ways in which these skills can further their academic and non-academic pursuits. Topics covered may include: various forms of reasoning, common fallacies, the use of rhetoric, elementary logic, and decision and game theories.

Upon successful completion, students will have the knowledge and skills to:

• critically analyse one’s opinions to identify underlying assumptions and unforeseen consequences (especially assumptions or consequences that are open to objections);
• analyse one’s and others’ arguments and examine whether they are successful;
• analyse one’s and others’ unsuccessful arguments by identifying where their arguments are vulnerable to any criticisms; and
• formulate and communicate arguments whose conclusions are supported by given reasons.
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• Written assessment (1500 words) (40) [LO 1,2,3,4]
• Final Examination (2 hours) (35) [LO 1,2,3,4]
• Lecture and Tutorial participation (10) [LO 1,2,3,4]

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On Reasoning and Argument

Essays in Informal Logic and on Critical Thinking

• © 2017
• David Hitchcock 0

Department of Philosophy, McMaster University Department of Philosophy, Hamilton, Canada

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• Brings together four decades of work by this well-respected author in argumentation studies
• Includes many papers that are not readily available or have not been widely published
• A "must read" for students of argumentation in Communication or Philosophy graduate programmes
• Facilitates the assessment of Hitchcock’s body of work as a whole
• Includes supplementary material: sn.pub/extras

Part of the book series: Argumentation Library (ARGA, volume 30)

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Table of contents (33 chapters)

Front matter, deduction, induction and conduction.

David Hitchcock

The Linked-Convergent Distinction

Material consequence, enthymematic arguments, does the traditional treatment of enthymemes rest on a mistake, toulmin’s warrants, non-logical consequence, inference claims, material consequence and counterfactuals, patterns of reasoning, validity in conductive arguments, reasoning by analogy: a general theory, pollock on practical reasoning, the generation of argument schemes, instrumental rationality, appeals to considerations.

• Reasoning and Argument
• J. Anthony Blair
• Deduction, induction and conduction
• Types of validity
• linked-convergent distinction
• Material consequence
• Enthymematic arguments
• Toulmin's warrants
• Counter-factuals
• Patterns of reasoning
• Reasoning by analogy
• Argumentation schemes

About this book

Authors and affiliations, about the author.

David Hitchcock, professor emeritus of philosophy at McMaster University, is the founding president of the Association for Informal Logic and Critical Thinking, author of Critical Thinking (Methuen, 1983), co-author of Evidence-Based Practice: Logic and Critical Thinking in Medicine (AMA Press, 2005), and co-editor of Arguing on the Toulmin Model (Springer, 2006).

Bibliographic Information

Book Title : On Reasoning and Argument

Book Subtitle : Essays in Informal Logic and on Critical Thinking

Authors : David Hitchcock

Series Title : Argumentation Library

DOI : https://doi.org/10.1007/978-3-319-53562-3

Publisher : Springer Cham

eBook Packages : Religion and Philosophy , Philosophy and Religion (R0)

Copyright Information : Springer International Publishing AG 2017

Hardcover ISBN : 978-3-319-53561-6 Published: 19 April 2017

Softcover ISBN : 978-3-319-85184-6 Published: 25 July 2018

eBook ISBN : 978-3-319-53562-3 Published: 06 April 2017

Series ISSN : 1566-7650

Series E-ISSN : 2215-1907

Edition Number : 1

Number of Pages : XXVII, 553

Number of Illustrations : 1 b/w illustrations, 6 illustrations in colour

Topics : Philosophy of Language , Classical Studies , Philology , Literacy , Logic

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• Paul-Elder Critical Thinking Framework

Critical thinking is that mode of thinking – about any subject, content, or problem — in which the thinker improves the quality of his or her thinking by skillfully taking charge of the structures inherent in thinking and imposing intellectual standards upon them. (Paul and Elder, 2001). The Paul-Elder framework has three components:

• The elements of thought (reasoning)
• The  intellectual standards that should be applied to the elements of reasoning
• The intellectual traits associated with a cultivated critical thinker that result from the consistent and disciplined application of the intellectual standards to the elements of thought

According to Paul and Elder (1997), there are two essential dimensions of thinking that students need to master in order to learn how to upgrade their thinking. They need to be able to identify the "parts" of their thinking, and they need to be able to assess their use of these parts of thinking.

Elements of Thought (reasoning)

The "parts" or elements of thinking are as follows:

• All reasoning has a purpose
• All reasoning is an attempt to figure something out, to settle some question, to solve some problem
• All reasoning is based on assumptions
• All reasoning is done from some point of view
• All reasoning is based on data, information and evidence
• All reasoning is expressed through, and shaped by, concepts and ideas
• All reasoning contains inferences or interpretations by which we draw conclusions and give meaning to data
• All reasoning leads somewhere or has implications and consequences

Universal Intellectual Standards

The intellectual standards that are to these elements are used to determine the quality of reasoning. Good critical thinking requires having a command of these standards. According to Paul and Elder (1997 ,2006), the ultimate goal is for the standards of reasoning to become infused in all thinking so as to become the guide to better and better reasoning. The intellectual standards include:

Intellectual Traits

Consistent application of the standards of thinking to the elements of thinking result in the development of intellectual traits of:

• Intellectual Humility
• Intellectual Courage
• Intellectual Empathy
• Intellectual Autonomy
• Intellectual Integrity
• Intellectual Perseverance
• Confidence in Reason
• Fair-mindedness

Characteristics of a Well-Cultivated Critical Thinker

Habitual utilization of the intellectual traits produce a well-cultivated critical thinker who is able to:

• Raise vital questions and problems, formulating them clearly and precisely
• Gather and assess relevant information, using abstract ideas to interpret it effectively
• Come to well-reasoned conclusions and solutions, testing them against relevant criteria and standards;
• Think open-mindedly within alternative systems of thought, recognizing and assessing, as need be, their assumptions, implications, and practical consequences; and
• Communicate effectively with others in figuring out solutions to complex problems

Paul, R. and Elder, L. (2010). The Miniature Guide to Critical Thinking Concepts and Tools. Dillon Beach: Foundation for Critical Thinking Press.

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