structuring arguments in critical thinking

Pursuing Truth: A Guide to Critical Thinking

Chapter 2 arguments.

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

2.1 Identifying Arguments

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

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

There are three important things to remember here:

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

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

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

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

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

2.1.1 Standard Form

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

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

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

2.1.2 Indicator Words

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

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

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

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

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

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

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

2.1.3 Non-Arguments

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

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

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

Abraham Lincoln died because he was shot.

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

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

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

Finally, consider this passage:

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

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

2.2 Evaluating Arguments

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

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

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

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

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

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

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

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

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

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

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

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

A deductively valid argument with all true premises.

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

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

2.3 Counterexamples

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

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

Here’s another one:

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

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

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

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

( Cleese and Chapman 1980 ) . ↩︎

• Rasmussen University
• Transferable Skills*
• Critical Thinking

Step 5: Structuring Arguments

Critical Thinking: Step 5: Structuring Arguments

• Steps 1 & 2: Reflection and Analysis
• Step 3: Acquisition of Information
• Step 4: Creativity
• Step 6: Decision Making
• Steps 7 & 8: Commitment and Debate
• In the Classroom
• In the Workplace

Argument Activity

Rank the following arguments from 1-5 (5 being the best) as “reason” for taking an umbrella to school.

• March is usually a rainy month, and this is the first day of March. It will probably rain today.
• I listened to three weather forecasters last night and they, all predicted rain for this afternoon. It will probably rain today.
• Last week, one of the television weather forecasters said rain was a possibility for today. It will probably rain today, and I’m going to be carrying some books that I don’t want to get wet.
• The weather predictions on station WETT have always been accurate, and last night they said the rain will be heavy most of today. It will probably rain.

Structuring an Argument

The tabs in this box are laid out in the order of which you should consider structuring your arguments. Click through each tab to view the step in structuring an argument, as well as good and bad examples of that step.

Clearly state your main point in the form of an assertion. This should be an arguable point - NOT a fact.  Good Example : All shopping centers should be smoke free. 

Bad Example : Smoking causes cancer.

Offer insight into the main idea of the argument by providing background information. 

Good Example : Most shopping malls are enclosed, and when one person smokes inside, it can affect the health of those around them.

Bad example (This does not support the main idea) : Shopping malls have stores in them, and some of those stores sell tobacco.

It is up to you (not your reader or conversation partner) to provide specific information to prove the main points of your argument.

Good Example : According to the Centers for Disease Control (2014), "cigarette smoking kills more than 480,00 Americans each year, with more than 41,000 of these deaths from exposure to secondhand smoke."

Bad Example : Lots of people smoke and then subsequently die from lung cancer.

In your own words, clearly and thoroughly offer evidence and support for your argument. 

Good Example : Children of smokers are exposed to secondhand smoke at home. Doctors suggest that there is an increased risk for them to contract lung cancer despite having never smoked. 

Bad Example : As a child of a smoker, I was exposed to secondhand smoke at home. My doctor says that I have an increased risk to get lung cancer, even though I have never smoked a cigarette in my life.

Any argument must take into account the opposing points of view. Acknowledge the existence of differing views and have a clear counter-point to that perception.

Good Example : While many believe they should be free to smoke wherever they choose, statistics show that smoking puts otherwise healthy people at risk for disease. As an alternative to being able to smoke wherever they desire, smokers should be provided with a smoking area outside of the enclosed mall environment.

Bad Example : Statistics show that smoking puts otherwise healthy people at risk for cancer. All malls should be smoke and alcohol free.

Without using the exact phrasing, clearly restate and summarize your thesis/argument.

Good Example : To provide the healthiest environment for everyone, all enclosed shopping centers should be smoke free with designated smoking areas.

Bad Example : Smoking causes cancer and all shopping centers should be smoke free.

Critical Thinking Videos

• Critical Thinking: Part 1
• Critical Thinking: Part 2

TechNyou. (2011, December 11). Critical thinking part 1: A valuable argument  [Video file]. Retrieved from https://youtu.be/iSZ3BUru59A

TechNyou. (2011, December 11). Critical thinking part 2: Broken logic [Video file]. Retrieved from https://youtu.be/VRZk62QNOsM

• << Previous: Step 4: Creativity
• Next: Step 6: Decision Making >>
• Last Updated: Aug 1, 2024 9:49 AM
• URL: https://guides.rasmussen.edu/criticalthinking

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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Improving Critical Thinking Through Argument Mapping

Dual-coding, gestalt grouping, and hierarchical organization..

Posted November 9, 2018

As you may have figured out from the focus of my ongoing blog, my book and my previous research, critical thinking (CT) is my specialty area of research. However, perhaps something that I don’t mention enough within this blog is that CT wasn’t the primary focus of my Ph.D. research—rather, it was The Evaluation of Argument Mapping as a Learning Tool ; that is, argument mapping’s effects on a series of educational outcomes, including memory and CT. To clarify, an argument map is a visual representation of a logically structured network of reasoning, in which the argument is made unambiguous and explicit via a ‘box and arrow’ design, in which the boxes represent propositions (i.e. the central claim, reasons, objections, and rebuttals) and the ‘arrows’ among propositions indicate the inferential relationships linking the propositions together (Dwyer, 2011; van Gelder, 2002). As part of my Ph.D., three large-scale experimental studies were conducted with the main results indicating that argument mapping (AM) can significantly facilitate memory performance beyond that of more traditional study methods and that the provision of AM-infused CT training can significantly enhance CT performance (Dwyer, 2011). Given these observed benefits, I think it worthwhile to share a little bit about AM here and the rationale for why it works, especially for those who wish to enhance their own or even others’ CT.

Notably, though other forms of argument diagramming exist, such as concept mapping and mind-mapping , they differ substantially from AM based on the manner in which they are organized and the way in which each ‘proposition’ is presented. The problem with many concept mapping techniques is that they do not present an argument per se. Instead, they present a graphical structure that acts as a representation of a separate text, which might be used to diagram: the links among concepts, decision-making schemes, a set of plans or instructions, or at best, act as an argument overview – which does not represent the argument in full. Thus, because the text of the argument and the diagram may often be separate entities, concept mapping may become more cognitively demanding by adding the necessity of switching attention from text to diagram and vice versa (e.g. Chandler & Sweller, 1991; Pollock, Chandler & Sweller, 2002; Tindall-Ford, Chandler & Sweller, 1997). In addition, if the reader of a concept map is not familiar with the information from the text that the map is derived, then the map itself becomes meaningless. Neither sentences nor any inferential structures to facilitate comprehension are requisite. In this context, concept mapping strategies may not necessarily be useful pedagogical aids that are open to analysis by everyone.

Although AMs have been in existence for almost 200 years (Buckingham-Shum, 2003; see Whately, 1826), their construction was a slow, tedious task completed through pen and paper; and thus, not widely used as a learning tool, despite potential advantages over standard prose as a medium for presenting reasoning. With the advent of various user-friendly AM software programs, the time required to construct an AM has been substantially reduced. Perhaps as a result of the relatively recent advancements in AM software, little research has been conducted to test its effects on learning. However, the little research that has examined AM’s effects on CT has revealed beneficial effects (Alvarez-Ortiz, 2007; Butchart et al., 2009; Dwyer, Hogan & Stewart, 2011; Dwyer, Hogan & Stewart, 2012; van Gelder, 2001; van Gelder, Bissett & Cumming, 2004). The rationale for why AM has a beneficial effect on CT consists of reasoning pertaining to the former’s diagrammatic, dual-coding nature, Gestalt grouping principles and hierarchical organization.

First, unlike standard text, AMs represent arguments through dual modalities (visual-spatial/diagrammatic and verbal/propositional), thus facilitating the latent information processing capacity of individual learners. Dual-coding theory (Paivio, 1971; 1986), Mayer’s (1997) conceptualisation and empirical analysis of multimedia learning, as well as Sweller and colleagues’ research on cognitive load (Sweller, 2010) suggest that learning can be enhanced and cognitive load decreased by the presentation of information in a visual-verbal dual-modality, provided that both visual and verbal forms of representation are adequately integrated (i.e. to avoid attention-switching demands). Given that AM supports dual-coding of information in working memory via integration of text into a diagrammatic representation, cognitive resources previously devoted to translating prose-based arguments into a coherent, organised and integrated representation are ‘freed up’ and can be used to facilitate deeper encoding of arguments within AMs, which in turn facilitates later recall (e.g. Craik & Watkins, 1973), as well as subsequent, higher-order thinking processes, such as CT (Halpern, 2014; Maybery, Bain and Halford, 1986). Furthermore, previous research on using diagrammatic learning tools, like AM, has shown positive effects on learning outcomes (Berkowitz, 1986; Larkin & Simon, 1987; Oliver 2009; Robinson & Kiewra, 1995) and offers advantages over traditional text-based presentation of information because the indexing and structuring of information can potentially support essential computational processes necessary for CT.

Second, AMs utilize Gestalt grouping principles (e.g. similar color-coding and close proximity) that facilitate the organization of information in working memory and long-term memory , which in turn facilitates CT. For example, color can be used in an AM to distinguish evidence for a claim (i.e. green) from evidence against a claim (i.e. red); thus, all reasons are similarly color-coded, as are objections. More generally, a good AM is designed in such a way that if one proposition is evidence for another, the two will be appropriately juxtaposed and the link explained via a relational cue, such as because , but and however (van Gelder, 2001).

With respect to proximity, modern AM allows single propositions or entire branches of the argument to be removed or transferred from one location to another (and edited in the process) in order to facilitate reconstruction. The manner in which propositions and chains of reasoning can be manipulated within an AM may encourage deeper analysis and evaluation of the argument, as well as further refinements of its inferential structure. Similar propositions can be grouped together, which eases their assimilation and removes the need to switch attention as in text-based information (e.g. from one paragraph, or even one page, to another and back and forth). Such grouping also makes the search for specific, relevant information more efficient, which in turn supports perceptual inferences.

Finally, the third potential reason for why AM has a beneficial effect on CT is that AMs present information in a hierarchical manner, which also facilitates the organization of information for promoting CT. When arguing from a central claim, one may present any number of argument levels which need to be adequately represented for the argument to be properly conveyed. For example, an argument that provides a (1) support for a (2) support for a (3) support for a (4) claim has four levels in its hierarchical structure. More complex or ‘deeper’ arguments (e.g. with three or more argument levels beneath a central claim) are difficult to represent in text due to its linear nature; and yet it is essential that these complex argument structures are understood by a student if their goal is to analyze and evaluate the argument, to infer their own conclusions. The hierarchical nature of AM allows the reader to choose and follow a specific branch of the argument in which each individual proposition is integrated with other relevant propositions in terms of their inferential relationship.

Moreover, asking students to produce AMs can provide educators with valuable insights into a student’s ‘mental model of the argument in question’ (Butchart et al., 2009). Such information can be used to support teachers in offering feedback to students or scaffolding student learning from simple to complex levels of argument comprehension, analysis, and evaluation. Logically, as expertise in AM grows, so does the ability to present a well-structured argument, which allows for improvement in writing ability as well.

Alvarez-Ortiz, C. (2007). Does Philosophy Improve Critical Thinking Skills? Master’s Thesis. University of Melbourne, Australia.

Berkowitz, S.J. (1986). Effects of instruction in text organization on sixth-grade students’ memory for expository reading. Reading Research Quarterly, 21, 2, 161-178.

Buckingham-Shum, S.J. (2003). The roots of computer supported argument visualization. In P. A. Kirschner, S. Buckingham-Shum, & C. Carr (Eds.), Visualizing argumentation: Software tools for collaborative and educational sense-making, 3-24. London: Springer-Verlag.

Butchart, S., Bigelow, J., Oppy, G., Korb, K., & Gold, I. (2009). Improving critical thinking using web-based argument mapping exercises with automated feedback. Australasian Journal of Educational Technology, 25, 2, 268-291.

Chandler, P., & J. Sweller, J. (1991). Evidence for cognitive load theory. Cognition and Instruction, 8, 4, 351-362.

Craik, F. I. M., & Watkins, M.J. (1973). The role of rehearsal in short-term memory. Journal of Verbal Learning and Verbal Behaviour, 12, 6, 599-607.

Dwyer, C.P. (2011). The evaluation of argument mapping as a learning tool. Doctoral Thesis. National University of Ireland, Galway.

Dwyer, C.P., Hogan, M.J., & Stewart, I. (2011). The promotion of critical thinking skills through argument mapping. In C.P. Horvart & J.M. Forte (Eds.), Critical Thinking, 97-122. Nova Science Publishers, New York.

Dwyer, C.P., Hogan, M.J., & Stewart, I. (2012). An evaluation of argument mapping as a method of enhancing critical thinking performance in e-learning environments. Metacognition and Learning, 7, 219-244.

Halpern, D.F. (2014). Thought & knowledge: An introduction to critical thinking (5th Ed.). UK: Psychology Press.

Larkin, J., & Simon, H. (1987). Why a diagram is (sometimes) worth ten thousand words. Cognitive Science, 11, 65–99.

Maybery, M.T., Bain, J.D., & Halford, G.S. (1986). Information-processing demands of transitive inference. Journal of Experimental Psychology: Learning, Memory, and Cognition, 12, 4, 600-613.

Mayer, R.E. (1997). Multimedia learning: Are we asking the right questions? Educational Psychologist, 32, 1, 1-19.

Oliver, K. (2009). An investigation of concept mapping to improve the reading comprehension of science texts. Journal of Science Education and Technology, 18, 5, 402-414.

Paivio, A. (1971). Imagery and verbal processes. Hillsdale, N.J.: Erlbaum.

Paivio, A. (1986). Mental representations: A dual-coding approach. New York: Oxford University Press.

Pollock, E., Chandler, P., & Sweller, J. (2002) Assimilating complex information. Learning & Instruction, 12, 61-86.

Robinson, D. H., & Kiewra, K. A. (1995). Visual argument: Graphic organizers are superior to outlines in improving learning from text. Journal of Educational Psychology, 87, 3, 455–467.

Sweller, J. (2010). Cognitive load theory: Recent theoretical advances. In J.L. Plass, R. Moreno & R. Brünken (Eds.), Cognitive Load Theory, 29-47. New York: Cambridge University Press.

Tindall-Ford, S., Chandler, P., & Sweller, J. (1997). When two sensory modes are better than one. Journal of Experimental Psychology: Applied, 3, 4, 257 -287.

van Gelder, T. J. (2001). How to improve critical thinking using educational technology. In G. Kennedy, M. Keppell, C. McNaught & T. Petrovic (Eds.), Meeting at the Crossroads: Proceedings of the 18th Annual Conference of the Australian Society for Computers in Learning in Tertiary Education, 539–548. Melbourne: Biomedical Multimedia Unit, University of Melbourne.

van Gelder, T.J. (2002). Argument mapping with Reason!Able. APA Newsletter:Philosophy & Computers, 2, 1, 85-90.

van Gelder, T.J. (2007). The rationale for RationaleTM. Law, Probability & Risk, 6, 23-42.

van Gelder, T.J., Bissett, M., & Cumming, G. (2004). Enhancing expertise in informalreasoning. Canadian Journal of Experimental Psychology 58, 142-52.

Whately, R. (1826). Elements of Logic. London: Fellowes.

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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How to structure and build strong arguments: a step-by-step guide

If arguing appears to be your students’ favorite pastime, seize the opportunity and teach them to argue properly! Strong argumentation skills can boost students’ academic performance and help them master a range of 21st-cent ury skills .

One key aspect of developing students’ argumentation skills is teaching them argument structure. When students know how to structure an argument, they can communicate their perspective with maximum impact.

Fortunately, here at Kialo Edu , we are experts at helping educators to develop students’ argumentation skills. So, let’s explore the importance of argument structure, examine the steps students should take to structure an argument, and discover how you can use Kialo discussions (for free!) to support students in building these skills! 

Why should students learn strong argumentation skills?

First, developing strong argumentation skills is integral to training students’ problem-solving abilities. As students craft thesis statements and supporting claims, they gather information and perspectives that help determine their position and decide how they will persuade the audience to accept their viewpoint.

Second, practicing argumentation trains students’ critical thinking skills , as they learn to use evidence-based reasoning to support their arguments. Students must analyze and evaluate evidence to bolster their claims and invalidate opposing viewpoints, proving that their thesis is the logical choice.

Finally, mastering argumentation through writing argumentative essays , giving oral presentations, and having classroom debates empowers students to advocate for their own views, negotiate effectively, and make well-reasoned decisions. These are invaluable skills that will benefit students throughout their academic, personal, and professional lives.

What are the features of a well-structured argument?

Crafting a well-structured argument gives students credibility, helping them persuade audiences of the validity of their viewpoint. Here are the main features students should include in their arguments:

• Logical organization of main points:

Students should organize their main points in a logical order that guides the audience through their reasoning. 

• Grouping of claims and evidence:

Students should group their claims and related evidence together into distinct sections, with each section focusing on a different aspect of the topic.

• Clear and precise language:

Students should use clear and precise language throughout their argument. Avoiding ambiguity ensures the audience can understand students’ reasoning.

• Inclusion of signal words:

Students should include discourse markers to signal the difference between supporting arguments and any counterarguments they address.

How to teach students to structure an argument: step-by-step

Providing students with a simple structure for their arguments reduces their cognitive load, allowing them to focus on the content of the argument itself. Some common techniques include the PEEL, TTEB, Toulmin, Classical, and Rogerian Methods. No matter which structure you’re most familiar with, here’s a step-by-step guide on how you can help your students successfully structure arguments. 

Step 1: Have students prepare to make a good argument

Have students begin with identifying the topic and audience in order to craft a compelling argument. To fuel engagement, ensure students are invested in the topic. Thus, allow them to choose a topic they’re interested in, or help them to find meaningful aspects in assigned topics .

Students must also consider their target audience, as the audience’s background and prior knowledge may influence the evidence, tone, and claims or counterclaims that students select.

With this in place, students should develop a broad topic knowledge through conducting in-depth research into different perspectives on the chosen or assigned topic. Here, students can outline the diverse viewpoints they encounter on a pro/con chart, such as a Kialo discussion , enabling them to select the position they will argue for.

Step 2:  Students introduce the argument with a good thesis

In the introduction, students must include two things:

• An engaging hook to explain the topic’s relevance or importance to the audience. 
• A concise, well-structured thesis statement of one to two sentences that asserts their position.

The thesis must be debatable, with enough evidence available to support the student’s perspective, but no obvious conclusion.

Step 3: Write claims and use evidence to support the thesis

After the thesis, students should argue in favor of their central claim, using supporting points backed by relevant, substantive evidence.

Here, students can combine factual data, logical reasoning, relevant statistics, or convincing anecdotal evidence to provide thorough justification for their position and convince the audience to accept their viewpoint.

Step 4: Use counterarguments to strengthen arguments

Addressing counterarguments increases the author’s credibility, and therefore strengthens the perspective presented. The audience sees that the author has done their due diligence in considering different viewpoints before taking a position. 

Thus, students should respectfully acknowledge and then rebut counterarguments in an unbiased manner. There are two ways to do this:

1. Refutation

For neutral or supporting audiences, students can refute a counterargument by identifying unsound reasoning, such as logical fallacies , unstated assumptions, and unreliable data. They can also refute a counterargument by providing counterexamples or counterevidence.

2. Concession

For more skeptical audiences, students can use concession to acknowledge the merits of opposing arguments. Then, they can use substantial supporting evidence to demonstrate that their own claims are stronger. 

Step 5: Conclude an argument with a call to action

In closing, students revisit the thesis in light of their argument, synthesizing the main information without repeating specific details. They should summarize the topic’s importance and key arguments, before including a call to action for the audience, aligned with the argument’s purpose.

How can students use Kialo discussions to structure arguments?

The Kialo Edu Topic Library is bursting with a range of discussion topics that serve as excellent prompts for students to practice their argumentation skills — and provide an ideal framework to help students structure their ideas.

1. Students can use the argument-mapping structure of the Kialo discussion to visualize a clear structure for arguments

Kialo Edu discussions are built on argument-mapping principles . Each discussion starts with a central thesis. Then, students add pros and cons which are joined by connective lines showing how each point logically connects to another. This builds an interactive visual representation of the entire discussion, which students can use to improve the structure of their arguments.

2. The argument-mapping structure encourages students to investigate multiple perspectives

The argument-mapping structure of a Kialo discussion arranges green “pros” on the left and red “cons” on the right of each claim, so students can immediately see whether a claim is meant to support or oppose the point above. This clear separation between pros and cons encourages students to consider opposing perspectives, so they can identify and address counterarguments, rather than dismissing them. 

3. Students can easily add evidence to support their claims

As students structure their arguments, they can seamlessly link to supporting sources in their claims, adding notes or quotes that explain exactly how their source supports their reasoning. These sources are then compiled into a handy sidebar that helps students to match the evidence with the relevant claim within paragraphs — and meet citation requirements for their argumentation assignments.

4. Students can receive and implement feedback from teachers to improve their arguments

Seeing students’ arguments displayed visually means teachers can easily spot and address logic and structural errors in their students’ work at the planning stage. Using the Grading and Feedback feature, educators can then guide students’ arguments by scoring individual claims or providing personalized feedback . Students can view their feedback in the Grading sidebar and use it to refine the structure and reasoning of their arguments.

Teaching students how to structure an argument equips them for success across various academic disciplines. Moreover, it’s a highly transferable skill — the ability to present ideas clearly and persuade others enables students to engage in constructive, democratic discourse. 

Want to try using Kialo discussions with your students to practice their argumentation skills? Sign up for free today and you’ll see how you can use Kialo discussions to activate your students’ argumentation abilities and empower them with this lifelong skill!

As you’re exploring and using Kialo Edu , why not share your top tips for teaching students how to structure arguments? Send them to us at [email protected] , or post them on our social media channels.

Want to try Kialo Edu with your class?

Sign up for free and use Kialo Edu to have thoughtful classroom discussions and train students’ argumentation and critical thinking skills.

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8 Arguments and Critical Thinking

J. anthony blair, introduction [1].

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

1. Two meanings of ‘argument’

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

1.3 Argumentation

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

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

2 The relation between critical thinking and argument

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

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

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

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

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

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

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

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

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

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

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

2 .2  Critical thinking about things other than arguments

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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Diagramming Arguments, Premise and Conclusion Indicators, with Many Examples Abstract: Analyzing the structure of arguments is clarified by representing the logical relations of premises and conclusion in diagram form. Many ordinary language argument examples are explained and diagrammed. “Argument” Defined How to Identify Arguments How to Analyze Simple Arguments Premise Indicators Conclusion Indicators Equal Status Indicators How to Analyze Complex Arguments Links to Diagramming Exercises Tutorials for Diagramming Formal arguments are evaluated by their logical structure; informal arguments are studied and evaluated as parts of ordinary language and interpersonal discourse. Statement or Proposition: How to identify the presence of an argument. [1] I conclude the dinosaurs probably had to cope with cancer. These are my reasons : [2] a beautiful lower leg bone was found in Alberta, [3] the end of the fibula was grossly malformed, and [4] this appearance closely matches osteosarcoma in humans. Since [1] the solution turns litmus paper red, [2] I conclude it is acidic, inasmuch as [3] acidic substances react with litmus to form a red color. Ask yourself “What is the author trying to prove in this passage?” In order to determine whether or not an argument is present in a passage, it sometimes helps to pose this question. If an answer is directly forthcoming, then the passage is most likely an argument. Despite that, the presence of an argument cannot be always known with certainty; often the purpose of the passage can only be contextually surmised. Establishing the intention of a speaker or writer is sometimes the only determining factor of whether or not an argument is present. A charitable , and insofar as possible, an impartial conventional interpretation of the context, content, and purpose of the passage should be sought. “[1] The types of sentences you use are quite varied. [2] I've noticed that your recent essays are quite sophisticated. [3] You have been learning much more about sentence structure.” “ Because [1] of our preoccupation with the present moment and the latest discovery, [2] we do not read the great books of the past. Because [3a] we do not do this sort of reading, and [3b] do not think it is important, [4] we do not bother about trying to learn to read difficult books. As a result , [5] we do not learn to read well at all.” [1] Statement [1] provides evidence for [2]. Next, [2] together with [3] ([3a] and [3b] being combined here as one compound statement for simplification) gives evidence for [4]. Finally, as a result of [4], statement [5] concludes with some degree of probability. The number of arguments in a passage is conventionally established by the number of conclusions in that passage. [1] John didn't get much sleep last night. [2] He has dark circles under his eyes. [3] He looks tired. [1] Studies from rats indicate that neuropeptide Y in the brain causes carbohydrate craving, and [2] galanin causes fat craving. Hence , [3] I conclude that food cravings are tied to brain chemicals [4] because neuropeptide Y and galanin are brain chemicals. The structure of the argument can be inferred by attending to the premise and conclusion indicators even though the content of the argument might not be fully understood. [1] The piano teacher should consider an additional study of the pipe organ. [2] As an organist. the teacher would have added income at times when she is not teaching; consequently , and for this reason [3] she would receive added publicity and prestige. Therefore , [4] she would be likely to attract additional students and additional income. Working with Premise Indicators: for since as because [* when the term means “for the reason that” but not when it means “from the cause of”] in as much as follows from after all in light of the fact assuming seeing that granted that; given that in view of as shown by; as indicated by deduced from inferred from; concluded from due to the fact that for the reason [* often mistaken for a conclusion indicator ] [2a] Reading the point of intersection of a graph depends on the accuracy with which the lines are drawn. [2b] Reading the point of intersection also depends upon the ability to interpret the coordinate of the point. [1]Thus, the graphical method for solving a system of equations is an approximation. “[3] [the mind must] obtain a little strength by a slight exertion of its thinking powers.” Working with Conclusion Indicators: thus therefore consequently hence so it follows that proves that; demonstrates that; shows that indicates that accordingly [* an indicator often missed ] implies that; entails that; follows that this means we may infer; it can be inferred that suggests that results in in conclusion for this reason; for that reason [* often mistaken for premise indicators (a conclusion follows these phrases; a premise precedes these phrases .)] “[3a] So it may well be that cancer is induced not by the original substances but [3b] [it may well be that cancer is induced] by the products of their metabolism once inside the organism.” Working with Equal Status Indicators: or [ the inclusive “or,” i.e. “ either or or both ”] and as [* when it connects similar clauses; not when it connects a result with a cause ] in addition although despite; in spite of besides though but yet however moreover nevertheless not only … but also ( and also the semicolon “;”) If one of the clauses has already been identified as a premise or a conclusion of an argument, then its coordinating clause is probably the same type of statement. Check the following examples. Comment : Notice that statements [2] and [3] work together as a reason, so both together provide evidence for [1]. “ … [3] it depends on the indices of refraction of the lens material and [4] [it depends on] the surrounding medium.” For [1] and [2], so [3]. [1] If students were environmentally aware, they would object to the endangering of any species of animal. [2] The well-known Greenwood white squirrel has become endangered [3] as it has disappeared from the Lander campus [4] because the building of the library destroyed its native habitat. [5] No Lander students objected. [6] Thus , Lander students are not environmentally aware. as because thus Statement [6] is the final conclusion since it has the conclusion indicator “thus” and the import of the paragraph indicates that this statement is the main point of the argument. (It is also the last sentence in the paragraph.) [1] If students were environmentally A ware, [ then ] they would O bject to the endangering of any species of animal. [5] No student O bjected [to the endangering of the Greenwood white squirrel]. [1] If A then O [5] Not O “[6] Thus, Lander students are not environmentally A ware,” [1] If A then O [5] Not O [6] Not A “The explanation as to why productivity has slumped since 2004 is a simple one. That year coincided with the creation of Facebook ” [11] “In The Voyage of the Dawn Treader, the ship's prow is ‘gilded and shaped like the head of a dragon with wide open mouth’ so when, a moment later, the children stare at the picture ‘with open mouths’, they are being remade in its image … The painted ocean to which Joan is drawn is ‘like a mighty animal’, a ‘wicked virile thing’. The implication in both cases is that art is not safe, and that this is why it's needed.” [emphasis mine] [12] “He asked: ‘Who are the Âdityas?’ Yâ gñ avalkys replied: ‘The twelve months of the year, and they are Âdityas, because they move along (yanti) taking up everything [ i.e. , taking up the lives of persons, and the fruits of their work] (âdadânâ h ). Because they move along, taking up everything, therefore they are called Âdityas.’”[emphasis mine] [13] Circular Argument: Links to diagramming online quizzes with suggested solutions, notes: diagramming arguments. 1. Mortimer J. Adler, How to Read a Book (New York: Simon and Schuster: 1940), 89. ↩ 2. Some English textbooks describe argumentative paragraph structure as deductive (proceeding from general to specific statements or inductive (proceeding from specific to general statements). For example, educator and rhetorician Fred Newton Scott writes: “There are two orders of progress in thought, one proceeding from the statement of a general principle to particular applications of the principle (deductive reasoning), the other proceeding from the statement of particular facts to a general conclusion from those facts (inductive reasoning). In deductive reasoning, the general principle (stated usually at the beginning) is applied in the particulars; in inductive reasoning the general principle (stated usually at the end) if inferred from the particulars, as a conclusion. In a deductive paragraph, as would be expected, the sentences applying the principle to the particular case in hand, usually follow the topic-statement, which announces the principle. In an inductive paragraph the sentences stating the particular facts usually precede the topic-statement, which gives the general conclusion.” [emphases deleted] Fred Newton Scott, Paragraph-Writing (Boston: Allyn and Bacon, 1909), 62-63. Since this distinction between induction and deduction proves faulty for many arguments, deductive arguments are now described as those that provide total support for their conclusion ( i.e. ,a they logically entail the conclusion); whereas, an inductive argument give partial support for their conclusion ( i.e. , they provide only some evidence for the conclusion.) ↩ 3. Most paragraphs have a three-part structure: introduction (often a topic sentence), body (often supporting sentences), and conclusion (often a summary statement). In argumentative writing, the conclusion of an argument is often the topic sentence or main idea of a paragraph. Consequently, the first sentence or last sentence of many argumentative paragraphs contain the conclusion. ↩ 4. René Wellek and Austin Warren, Theory of Literature (New York: Harcourt, Brace: 1956), 127. ↩ 5. Mary Wollstonecraft, Vindication of the Rights of Woman (1792 London: T. Fisher Unwin, 1891), 273. ↩ 6. Irvin D. Yalom, The Gift of Therapy (New York: Harper Perennial, 2009), 133. ↩ 7. Maxim D. Frank-Kamenetskii, Unraveling DNA trans. Lev Liapin (New York: VCH Publishers, 1993), 175. ↩ 8. Bertrand Russell, The Analysis of Mind (London: 1921 George Allen & Unwin, 1961), 40. ↩ 9. Wollstonecraft, Vindication , 175. ↩ 10. Marcus Aurelius, Meditations , trans George Long (New York: Sterling: 2006), 69. ↩ 11. Nikko Schaff, “Letters: Let the Inventors Speak,” The Economist 460 no. 8820 (January 26, 2013), 16. ↩ 12. Matthew Bevis, “What Most I Love I Bite,” in the “Review of The Collected Poems and Drawings of Stevie Smith ,” London Review of Books 38 No. 15 (28 July 2016), 19. ↩ 13. B ri hadâra n yaka-Upanishad in The Upanishads , Pt. II, trans. F. Max Müller in The Sacred Books of the East , Vol. XV, ed. F. Max Müller (Oxford: Clarendon Press, 1900), 141. ↩ Readings: Diagramming Arguments Carnegie Mellon University, iLogos: Argument Diagram Software and User Guide Free software cross-platform. Also, a list with links to other argument diagramming tools. Martin Davies, Ashley Barnett, and Tim van Gelder, “ Using Computer-Aided Argument Mapping to Teach Reasoning, ” in Studies in Critical Thinking , ed. J. Anthony Blair (Windsor, ON: Open Monograph Press, 2019), 131-176. Chapter outlining how to use argument mapping software in logic classes. doi: 10.22329/wsia.08.2019 Jean Goodwin, “ Wigmore's Chart Method ,” Informal Logic 20 no. 3 (January, 2000), 223-243. doi: 10.22329/il.v20i3.2278 Tree diagram method for complex argument representation and inference strength assessment for legal analysis. Mara Harrell, Creating Argument Diagrams , Carnegie Mellon University. Tutorial on identification of indicators, rewriting statements, providing missing premises, and reconstruction of arguments. (28 pp.) Dale Jacquette, “ Enhancing the Diagramming Method in Logic ,” Argument: Biannual Philosophical Journal 1 no. 2 (February, 2011), 327-360. Also here . An extension of the Beardsley diagramming method for disjunctive and conditional inferences as well as other logical structures. Michael Malone, “On Discounts and Argument Identification,” Teaching Philosophy 33 no. 1 (March, 2010), 1-15. doi: 10.5840/teachphil20103311 Discount indicators such as “but”, “however”, and “although” are distinguished from argument indicators, but help in argument identification. Jacques Moeschler, “Argumentation and Connectives,” in Interdisciplinary Studies in Pragmatics, Culture and Society , eds. Alessandro Capone and Jacob L. Mey (Cham: Springer, 2016), 653-676. John Lawrence and Chris Reed, “ Argument Mining: A Survey ,” Computational Linguistics 45 no. 4 (September, 2019), 765-818. doi: 10.1162/coli_a_00364 Review of recent advances and future challenges for extraction of reasoning in natural language. Frans H. van Eemeren, Peter Houtlosser, and Francisca Snoeck Henkemans, Argumentative Indicators in Discourse (Dordercht: Springer, 2007). Sophisticated study of indicators for arguments, dialectical exchanges, and critical discussion. doi: 10.1007/978-1-4020-6244-5 Wikipedia contributors, “ Argument Map , Wikipedia . History, applications, standards, and references for argument maps used in informal logic. (Free) Online Tutorials with Diagramming Carnegie Mellon University, Argument Diagramming v1.5 (Open + Free) . Free online course on argument diagramming using built-in iLogos argument mapping software by Carnegie Mellon's Open Learning Initiative. (With or without registration and two weeks for completion). Harvard University, Thinker/Analytix: How We Argue . Free online course on critical thinking with argument mapping with Mindmup free diagramming software, videos, and practice exercises. (Requires registration and 3-5 hrs. to complete). Joe Lau, “ Argument Mapping ” Module A10 on the Critical Thinking Web at the University of Hong Kong. (No registration and an hour to complete). Send corrections or suggestions to philhelp[at]philosophy.lander.edu Read the disclaimer concerning this page. 1997-2024 Licensed under the Copyleft GFDL license. The GNU Public License assures users the freedom to use, copy, redistribute, and make modifications only if they allow these same terms, with or without changes, for their copies. Works for sale must link to a free copy. Arguments | Language | Fallacies | Propositions | Syllogisms | Ordinary Language | Symbolic The Open University Accessibility hub Guest user / Sign out Study with The Open University My OpenLearn Profile Personalise your OpenLearn profile, save your favourite content and get recognition for your learning About this free course Become an ou student, download this course, share this free course. Start this free course now. Just create an account and sign in. Enrol and complete the course for a free statement of participation or digital badge if available. 8 Analysis, argument and critical thinking In this section, we are going to look in detail at analysis and argument. Analytical thinking is a particular type of higher order thinking central to much academic activity. It is concerned with examining 'methodically and in detail the constitution or structure of something' (Oxford English Dictionary). This includes looking at variables, factors, and relationships between things, as well as examining ideas and problems, and detecting and analysing arguments. Many essay questions require argument. Skills in manipulating content to make a good argument can make the difference between higher and lower assignment grades. You can start to explore the ideas of analysis and argument by using an everyday example. Image of the back of a cereal packet. It reads: ‘Why is breakfast the most important meal of the day? ‘Hectic lifestyle have become a part of the way we live today, whether we’re rushing off to work, getting the kids off to school or looking after a demanding familty. Eating breakfast refuels the body and helps get the day off to a good start. Breakfast cereals are an important part of a healthy diet as they are low in fat, high in carbohydrates and provide some fibre. Just one bowl of Sainsbury’s cereals also provides the following vitamins and minerals.’ The cereal packet then lists the vitamins and minerals provided, alongside some unreadable information about each. The vitamins and minerals listed are: vitamin D, vitamin B1, vitamin B2, niacin, vitamin B8, vitaming B12, pantothenic acid, iron. Activity 19 Making use of the description of Figure 3 available in the link below the image, on a sheet of paper note down your responses to the following questions. What was your reaction to doing this activity? What do you think the text was aiming to do? Do you feel the writer was successful in achieving what she or he set out to do? What worked and what did not work? How did you feel about this activity? Perhaps your first reaction is that under normal circumstances you would not read the back of a cereal packet. Perhaps you would normally be too busy to read this sort of thing, or would not bother because it is not relevant or of interest. The attention we give to something is dependent on the context. You probably do not have to read and think about cereal packets, but do need to read and think carefully about academic texts. Did you accept what was written or did the text prompt you to ask questions such as 'What is the purpose of this text?' The initial question 'Why breakfast is the most important meal of the day?' seems to suggest that the aim of the text might to be to provide answers, perhaps to convince us that breakfast is the most important meal of the day. You might reasonably have expected the text to provide some good reasons for us to be convinced of this. But perhaps after reading it, you decided that the writer's aim was simply to convince you that eating cereals for breakfast is a good thing. If the aim was to show that breakfast is the most important meal of the day, was the text a convincing argument? The writer certainly tells us that 'breakfast refuels the body and helps get the day off to a good start', which could be a reason to support the view that breakfast is important, but is not really one to convince us that breakfast is the most important meal. The writer has not told us why breakfast is more important than lunch, tea, dinner or supper. He or she seems to unquestioningly accept or assume that breakfast is the most important meal. Telling us about hectic lifestyles or the nutritional benefits of breakfast cereals does not tell us why breakfast is the most important meal. The relevance of these points is not clear at all. All in all, this is not a very convincing case for breakfast being the most important meal of the day. If the aim were really to persuade us to eat cereals, would we be convinced? It is hard to know if the information given as facts is correct and relevant to a healthy diet unless you have some knowledge of nutritional science. Although this is a simple everyday text, it provides an opportunity to exercise analytical thinking skills. The process of looking at the structure and parts of something in the way we have done here is what we mean by analysis. The text also illustrates the ideas of having a point or a case you wish to prove, and providing evidence and reasons to support it - together these form what the academic world calls an argument. This is very different from the everyday sense of the word, 'having a disagreement'. Here, we have been analysing an argument. Activity 20 What do you think is needed to make an argument a really good one (i.e. for the case to be convincing)? What could be done to improve (make more convincing) the argument analysed in Activity 19 ? When arguing a case, it needs to be clear what the case is. Perhaps, in the example above, the title should have been 'Why breakfast cereal is worth eating'. A good argument will have a clear and logical flow (line of reasoning). The sequence of thinking in the example was not clear or logical. For example, starting from the original question, a logical path might lead to discussion of reasons why breakfast is more important than other meals, and perhaps include information on demands on the body and physiological perspectives on the timing and types of food eaten. To be convinced, we need good reasons or evidence which is relevant. It is not immediately clear how the information about the nutritional value of breakfast cereals is relevant to the case for breakfast being the most important meal of the day. Moreover, how do we know the information is correct? Activity 21 Having appropriate evidence to support arguments is important. Which of the following statements might be most convincing and why? ▪ There is life on other planets in the universe. ▪ There is life on other planets in the universe because Mike Edwards says so. ▪ There is life on other planets in the universe because an eminent Cambridge Professor of Astronomy says so. ▪ There is a high probability of life on other planets in the universe because we know from studies by experts that there are in the order of 100 billion stars in our galaxy and there are 100 billion galaxies. This gives 10 22 stars. Some of these stars are likely to have planets associated with them. While the conditions conducive to life are rare, such a large number of planets gives a high probability that life will exist on a planet somewhere in the universe. ▪ Samples of surface material from other planets in the universe have been taken by space missions and found to contain life forms. (Adapted from Collier and Twomey, 1997) It would be reasonable to feel somewhat unconvinced by the first statement; it is an unsupported assertion. It may well just be an opinion, there is no reason or evidence provided. Being able to distinguish fact from opinion is important. In the second case, the statement is apparently given authority by being attributed to Mike Edwards. The question is - who is Mike Edwards? What reason is there for believing him rather than anyone else? We do not know on what basis he has made such a statement. We might feel a bit more convinced by the eminent Cambridge Professor of Astronomy. After all she or he may have spent many years in relevant study and be making a statement based on this wealth of experience. But, what if the professor had not been a professor of astronomy? What credence would we give to someone's views if they were an expert in another area? For example, a pop star or celebrity chef making a statement on a political issue? We need to take care in transferring authority in one area to another. Maybe someone's skills are transferable to another situation - but maybe not. The penultimate case is more convincing, because we are presented with a logical line of reasoning. In the final statement, we appear to have factual evidence that there are life forms on other planets. Even then, we need to think about the certainty of 'facts'. Knowledge changes and depends on context. It is only as good as the methods used to obtain it. Instances of 'facts' turning out to be artefacts of methods are common. Perhaps in this case the life forms found in the samples were contaminants on the equipment (acquired from Earth before or after the sampling journey). Sometimes, general conclusions are drawn from insufficient data or information. Does the evidence provide sufficient information to prove something or only suggest something is probable? We hope this example illustrates the importance of using appropriate evidence or reasoning to support an argument, and the importance of being cautious in what you use and accept as evidence. You should certainly avoid unsupported assertions in academic work and strive to provide the most appropriate and convincing evidence you can. Have a language expert improve your writing Run a free plagiarism check in 10 minutes, generate accurate citations for free. Knowledge Base Working with sources What Is Critical Thinking? | Definition & Examples What Is Critical Thinking? | Definition & Examples Published on May 30, 2022 by Eoghan Ryan . Revised on May 31, 2023. Critical thinking is the ability to effectively analyze information and form a judgment . To think critically, you must be aware of your own biases and assumptions when encountering information, and apply consistent standards when evaluating sources . Critical thinking skills help you to: Identify credible sources Evaluate and respond to arguments Assess alternative viewpoints Test hypotheses against relevant criteria Table of contents Why is critical thinking important, critical thinking examples, how to think critically, other interesting articles, frequently asked questions about critical thinking. Critical thinking is important for making judgments about sources of information and forming your own arguments. It emphasizes a rational, objective, and self-aware approach that can help you to identify credible sources and strengthen your conclusions. Critical thinking is important in all disciplines and throughout all stages of the research process . The types of evidence used in the sciences and in the humanities may differ, but critical thinking skills are relevant to both. In academic writing , critical thinking can help you to determine whether a source: Is free from research bias Provides evidence to support its research findings Considers alternative viewpoints Outside of academia, critical thinking goes hand in hand with information literacy to help you form opinions rationally and engage independently and critically with popular media. Prevent plagiarism. Run a free check. Critical thinking can help you to identify reliable sources of information that you can cite in your research paper . It can also guide your own research methods and inform your own arguments. Outside of academia, critical thinking can help you to be aware of both your own and others’ biases and assumptions. Academic examples However, when you compare the findings of the study with other current research, you determine that the results seem improbable. You analyze the paper again, consulting the sources it cites. You notice that the research was funded by the pharmaceutical company that created the treatment. Because of this, you view its results skeptically and determine that more independent research is necessary to confirm or refute them. Example: Poor critical thinking in an academic context You’re researching a paper on the impact wireless technology has had on developing countries that previously did not have large-scale communications infrastructure. You read an article that seems to confirm your hypothesis: the impact is mainly positive. Rather than evaluating the research methodology, you accept the findings uncritically. Nonacademic examples However, you decide to compare this review article with consumer reviews on a different site. You find that these reviews are not as positive. Some customers have had problems installing the alarm, and some have noted that it activates for no apparent reason. You revisit the original review article. You notice that the words “sponsored content” appear in small print under the article title. Based on this, you conclude that the review is advertising and is therefore not an unbiased source. Example: Poor critical thinking in a nonacademic context You support a candidate in an upcoming election. You visit an online news site affiliated with their political party and read an article that criticizes their opponent. The article claims that the opponent is inexperienced in politics. You accept this without evidence, because it fits your preconceptions about the opponent. There is no single way to think critically. How you engage with information will depend on the type of source you’re using and the information you need. However, you can engage with sources in a systematic and critical way by asking certain questions when you encounter information. Like the CRAAP test , these questions focus on the currency , relevance , authority , accuracy , and purpose of a source of information. When encountering information, ask: Who is the author? Are they an expert in their field? What do they say? Is their argument clear? Can you summarize it? When did they say this? Is the source current? Where is the information published? Is it an academic article? Is it peer-reviewed ? Why did the author publish it? What is their motivation? How do they make their argument? Is it backed up by evidence? Does it rely on opinion, speculation, or appeals to emotion ? Do they address alternative arguments? Critical thinking also involves being aware of your own biases, not only those of others. When you make an argument or draw your own conclusions, you can ask similar questions about your own writing: Am I only considering evidence that supports my preconceptions? Is my argument expressed clearly and backed up with credible sources? Would I be convinced by this argument coming from someone else? If you want to know more about ChatGPT, AI tools , citation , and plagiarism , make sure to check out some of our other articles with explanations and examples. ChatGPT vs human editor ChatGPT citations Is ChatGPT trustworthy? Using ChatGPT for your studies What is ChatGPT? Chicago style Paraphrasing  Plagiarism Types of plagiarism Self-plagiarism Avoiding plagiarism Academic integrity Consequences of plagiarism Common knowledge Critical thinking refers to the ability to evaluate information and to be aware of biases or assumptions, including your own. Like information literacy , it involves evaluating arguments, identifying and solving problems in an objective and systematic way, and clearly communicating your ideas. Critical thinking skills include the ability to: You can assess information and arguments critically by asking certain questions about the source. You can use the CRAAP test , focusing on the currency , relevance , authority , accuracy , and purpose of a source of information. Ask questions such as: Who is the author? Are they an expert? How do they make their argument? Is it backed up by evidence? A credible source should pass the CRAAP test  and follow these guidelines: The information should be up to date and current. The author and publication should be a trusted authority on the subject you are researching. The sources the author cited should be easy to find, clear, and unbiased. For a web source, the URL and layout should signify that it is trustworthy. Information literacy refers to a broad range of skills, including the ability to find, evaluate, and use sources of information effectively. Being information literate means that you: Know how to find credible sources Use relevant sources to inform your research Understand what constitutes plagiarism Know how to cite your sources correctly Confirmation bias is the tendency to search, interpret, and recall information in a way that aligns with our pre-existing values, opinions, or beliefs. It refers to the ability to recollect information best when it amplifies what we already believe. Relatedly, we tend to forget information that contradicts our opinions. Although selective recall is a component of confirmation bias, it should not be confused with recall bias. On the other hand, recall bias refers to the differences in the ability between study participants to recall past events when self-reporting is used. This difference in accuracy or completeness of recollection is not related to beliefs or opinions. Rather, recall bias relates to other factors, such as the length of the recall period, age, and the characteristics of the disease under investigation. Cite this Scribbr article If you want to cite this source, you can copy and paste the citation or click the “Cite this Scribbr article” button to automatically add the citation to our free Citation Generator. Ryan, E. (2023, May 31). What Is Critical Thinking? | Definition & Examples. Scribbr. Retrieved August 21, 2024, from https://www.scribbr.com/working-with-sources/critical-thinking/ Is this article helpful? Eoghan Ryan Other students also liked, student guide: information literacy | meaning & examples, what are credible sources & how to spot them | examples, applying the craap test & evaluating sources, get unlimited documents corrected. ✔ Free APA citation check included ✔ Unlimited document corrections ✔ Specialized in correcting academic texts Critical Thinking Flawless Structure: 5 Essential Tips Written by Argumentful Want to maximise your scores of your written assignments? Here are five tips that are sure to help. One would say that it is not enough to have good reasons which support your conclusion. How you layout your argument is also quite important and can help a great deal, especially if you want to show consideration for the time of those who read your argument, by creating a clear, logical consistent line of reasoning which can be followed easily and efficiently. To achieve this, there are specific guidelines you should follow. Logical Order You should aim to adopt a logical order in your writing. A good critical thinker makes sense of chaotic reasons and puts order where before there was none. Logical order can be achieved with a good structure that follows a logical line of thinking . Here are the main points to consider for your argument’s structure. Each of these are further detailed in the next sections. 1. Start your writing with a paragraph which contains a clear conclusion where you state your position . 2. Group similar reasons together and make a good case which supports your position before moving to any counter-arguments. You can do this by including all the relevant reasons that support your conclusion first, as well as backing (evidence) to assist these. 3. Consider opposing reasons only after you have built a good case for your position. Do not ignore opposing reasons, but do show why these are not significant or less powerful. As such, put forward evidence to show why they are not relevant. 4. Include intermediate conclusions if necessary. 5. Close the argument by drawing a logical conclusion from the supporting reasons to your overall position. Be aware of the concept of summary or summative conclusion as opposed to logical conclusion. Critical Thinking Checklist for a Good Structure with Logical Order: Stating the Point in the first paragraph and/or at the end of the writing Opposing Arguments Logical Consistency 1.      Starting the Argument with a Clear Position Including a clear position at the beginning of your writing helps focus the minds of your readers in the direction you wish to take for your argument. How many times have you gone through a newspaper article fighting your way through to the end and still not being able to grasp the point the author was trying to make? This is what we’re trying to avoid by being clear from the get go. Include a clear statement of your position with regards to the issue and your readers will be thankful. Don’t be vague and don’t let things be implicitly understood. You want to be as transparent and as precise as possible, since the opening paragraph will set the tone for your whole written material. Making Your Position Visible Throughout the Entire Material Depending on the complexity of the issue you are tackling, you might want to consider including your point several times in your paper. Author Stella Cottrell recommends making use of the following means in order to state the point clearly: The introductory sentence The final sentences The conclusion The overall line of reasoning An overall summary of the argument Careful selection of facts so the argument is not lost Here are some examples of what you should be avoiding: -author’s position is not clear- can be clarified by using opening statement to introduce argument or final words to sum it up -author uses too many questions without providing answers -there are many facts but these do not help clarify the position -the writing moves back and forth between different standpoints -the author does not assume a position -the author doesn’t agree or disagree with the positions and does not offer alternatives 2.      Grouping Similar Reasons Together Any writing which scores high on critical thinking criteria will contain reasons that support the main argument and which are themselves supported by evidence (backing). If you are including multiple supporting reasons in your writing, it’s always best to group them together. This means that you shouldn’t be jumping from a reason that supports your position to a reason that is a counter-argument and back to another supporting reason. Keep them together based on their goal. Here is an example below which I modelled from a sample argumentative essay published here . In the narrative of your argument DO group similar reasons together: DON’T mix and match different types of reasons within the text of your argument: 3.      Consider Counter-Arguments Only after Building a Good Case for Your Position Opposing reasons should not be ignored and should be considered only after there are enough points presented to support the main argument. Otherwise, readers could get confused regarding the author’s main position. Mixing and matching arguments and counter-arguments will also hurt the logical consistency of the material and will make it quite hard to follow. Once an opposing reason has been included, make sure to also address it: this means that you should present the reasons for which this counter-argument is not necessarily very strong or relevant. Note this example below, where there is a counter-argument included to the counter-argument against the main position. 4.      Include Intermediate Conclusions if Necessary Intermediate conclusions are sometimes needed if the overall argument is rather complex and contains several layers of reasons. As such, you could have an intermediate conclusion drawn from a number of reasons, which represents a reason for the main conclusion of the argument. I can imagine how confusing this sounds, so let’s take a look at an example : All the elements circled above represent sub-conclusions for the elements under them, but reasons for the conclusion above them. Including such sub-conclusions is necessary in order to keep the argument structure neatly organized and easy to follow. 5.      Close the Argument by Drawing a Logical Conclusion In line with logical consistency and stating the main point, the final part of your writing should include a section where there is a logical conclusion drawn from the reasons previously provided. This should not represent just a summary of what was already stated, but it should include a logical deduction following the line of reasoning from contributing arguments to the position proposed. It should follow from the analysis of the contributing reasons and the evidence presented to support these. Final Words Scoring high for critical thinking in your writing takes some work: you need to be organized and create a clear structure when you present your argument. I encourage you to start applying these guidelines in your next written assignment. But in the meantime, here’s a tip you can use right away. You’ll have practical experience in 20 minutes by following these two simple steps: Choose a past written assignment that you’d like to review. Assess it and change it according to the guidelines laid out in this article. Come back here and tell us about the before-and-after. I bet you’ll have something to say! You May Also Like… The Importance of Critical Thinking when Using ChatGPT (and Other Large Language Models) Artificial intelligence has made tremendous strides in recent years, allowing for the creation of conversational AI... How to Critically Evaluate News and Media Sources I think we all agree that access to information has never been easier. With the click of a button, we can access an... Critical Thinking in the Workplace Imagine that you're in a job interview and the interviewer asks you to describe a time when you had to solve a complex... Leave a Reply Cancel reply 8 Of The Most Important Critical Thinking Skills The most important critical thinking skills include analysis, synthesis, interpretation, inferencing, and judgement. Critical thinking is the ongoing application of unbiased analysis in pursuit of objective truth. Although its name implies criticism , critical thinking is actually closer to ‘ truth judgment ‘ based on withholding judgments while evaluating existing and emerging data to form more accurate conclusions. Critical thinking is an ongoing process emphasizing the fluid and continued interpretation of information rather than the formation of static beliefs and opinions. Research about cognitively demanding skills provides formal academic content that we can extend to less formal settings, including K-12 classrooms. This study , for example, explores the pivotal role of critical thinking in enhancing decision-making across various domains, including health, finance, and interpersonal relationships. The study highlights the significance of rigorous essential assessments of thinking, which can predict successful outcomes in complex scenarios. Of course, this underscores the importance of integrating critical thinking development and measurement into educational frameworks to foster higher-level cognitive abilities impact real-world problem-solving and decision-making. Which critical thinking skills are the most important? Deciding which critical thinking skills are ‘most important’ isn’t simple because prioritizing them in any kind of order is less important than knowing what they are and when and how to use them. However, to begin a process like that, it can be helpful to identify a small sample of the larger set of thinking processes and skills that constitute the skill of critical thinking. Let’s take a look at eight of the more important, essential critical thinking skills everyone–students, teachers, and laypersons–should know. 8 Critical Thinking Skills Everyone Should Know 8 Essential Critical Thinking Skills Analyze : break a whole into parts to examine. Example: A teacher asks students to break down a story into its basic components: characters, setting, plot, conflict, and resolution. This helps students understand how each part contributes to the overall narrative. Evaluate : Assess the value or quality Example: A teacher prompts students to evaluate the effectiveness of two persuasive essays. Students assess which essay presents stronger arguments and why, considering factors like evidence, tone, and logic. Interpret ” Explain the meaning or significance Example: After reading a poem, the teacher asks students to interpret the symbolism of a recurring image, such as a river, discussing what it might represent in the poem’s context. Synthesize ” Combine to form a coherent whole Example: A teacher asks students to write an essay combining information from multiple sources about the causes of the American Revolution, encouraging them to create a cohesive argument that integrates diverse perspectives. Infer : Draw conclusions based on evidence Example: A teacher presents students with a scenario in a science experiment and asks them to infer what might happen if one variable is changed, based on the data they’ve already gathered. Formal or informal inquiries to understand Example: During a history lesson, the teacher encourages students to ask questions about the motivations of historical figures, prompting deeper understanding and critical discussions about historical events. Reflect  Recall and interpret experiences or ideas Example: After completing a group project, a teacher asks students to reflect on what worked well and what could have been improved, helping them gain insights into their collaborative process and learning experience. Judge : Form an opinion or conclusion Example: A teacher presents students with a scenario where two solutions are proposed to solve a community issue, such as building a new park or a community center. The teacher asks students to use their judgment to determine which solution would best meet the community’s needs, considering cost, accessibility, and potential benefits. Butler, H. A. (2024). Enhancing critical thinking skills through decision-based learning . J. Intell. , 12(2), Article 16. https://doi.org/10.3390/jintelligence12020016 Founder & Director of TeachThought AI and Critical Thinking: a Resource for Faculty AI, Honor Code and Course Policies Assignments that help students think critically Sample Lesson Ideas AI Focused Journals A conversation with Chat GPT A Conversation with Claude.ai Tips on using AI ethically Helpful Readings recommended by other faculty Tips to help student understand and think about their use of AI Here are some tips for college students on how to use AI ethically when writing papers: Use AI for brainstorming and research Generate topic ideas or potential thesis statements Find relevant sources or key search terms Summarize background information on a topic Cite AI properly if used If you directly quote or paraphrase AI-generated text, cite it like any other source Example format: (Claude AI Assistant, Anthropic, 2023) Check your institution's specific guidelines on citing AI Always write in your own words Use AI insights as a starting point, but express ideas in your own voice Avoid copying AI text verbatim into your paper Focus on higher-order thinking Use AI for lower-level tasks like checking grammar or formatting citations Reserve analysis, argumentation, and drawing conclusions for yourself Ask your professor Policies on AI use vary, so get clarity on what's allowed in each class Some professors may permit specific AI tools or have assignments that incorporate them Use AI to enhance understanding, not bypass it Have the AI explain concepts you're struggling with Ask it to simplify complex texts you're reading Use it to quiz yourself on the material Be transparent If you use AI in any capacity, consider noting this in a footnote or your process notes Honesty is better than risking accusations of cheating Respect the honor code Remember that unauthorized aid on papers, even from an AI, may violate academic integrity policies The consequences of cheating can be severe, so err on the side of caution Leverage AI for editing, not generating Use tools to spot grammar, spelling, clarity, or structure issues But make sure all substantive content comes from you Keep developing your skills Don't let AI become a crutch that hinders your growth as a writer and thinker The goal of education is learning, not just completing assignments The key is to use AI in ways that support your learning and comply with academic standards - enhancing your work rather than replacing your efforts. When in doubt, discuss it with your instructor. They can provide guidance specific to their course and assignment. << Previous: A Conversation with Claude.ai Next: Helpful Readings recommended by other faculty >> Last Updated: Aug 20, 2024 11:03 AM URL: https://slulibrary.saintleo.edu/libraryai 365 IMAGES Critical thinking theory, teaching, and practice Critical Thinking Critical Thinking Course Outline Step 5: Structuring Arguments Structuring an argument [Critical thinking 5] Critical Thinking and Argumentation COMMENTS 4.4: Structuring Arguments Structuring arguments effectively involves organizing your thoughts clearly and logically, using theoretical frameworks like the Classical structure, Toulmin Model, and Rogerian Argument. By applying critical thinking principles and addressing current events such as climate change, you can construct persuasive and well-reasoned arguments in ... Chapter 2 Arguments Chapter 2 Arguments. Chapter 2. Arguments. The fundamental tool of the critical thinker is the argument. For a good example of what we are not talking about, consider a bit from a famous sketch by Monty Python's Flying Circus: 3. Man: (Knock) Mr. Vibrating: Come in. Critical Thinking: Step 5: Structuring Arguments Structuring an Argument. Step 5: Structuring Arguments. The tabs in this box are laid out in the order of which you should consider structuring your arguments. Click through each tab to view the step in structuring an argument, as well as good and bad examples of that step. Clearly state your main point in the form of an assertion. Arguing Using Critical Thinking Critical thinking is a series learned skills. In each chapter of this book you will find a variety of skills that will help you improve your thinking and argumentative ability. As you improve, you will grow into a more confident person being more in charge of your world and the decisions you make. Introduction to Logic and Critical Thinking 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 ... Improving Critical Thinking Through Argument Mapping An evaluation of argument mapping as a method of enhancing critical thinking performance in e-learning environments. Metacognition and Learning, 7, 219-244. Halpern, D.F. (2014). Identify arguments Critical thinking | Identify arguments; Identify arguments. Being able to identify arguments is an important part of critical thinking. It allows you to understand how people structure their thinking, and prepares the ground for analysis and evaluation, so that you can formulate an argument of your own. 1.1: What is an Argument? of the word "argument.". An argument, in this sense, is a reason for thinking that a statement, claim or idea is true. For example: Sally: Abortion is morally wrong because it is wrong to take the life of an innocent human being, and a fetus is an innocent human being. In this example Sally has given an argument against the moral ... PDF FUNDAMENTALS OF CRITICAL ARGUMENTATION Fundamentals of Critical Argumentation presents the basic tools for the iden-tification, analysis, and evaluation of common arguments for beginners. The book teaches by using examples of arguments in dialogues, both in the text itself and in the exercises. Examples of controversial legal, political, and ethi-cal arguments are analyzed. Structure your argument Structure your argument. To make sure your argument is logical and well organised, you can create a "map" of your argument. An argument map is a visual representation of an argument. It is especially useful when creating complex arguments or when developing an argument based on a review of literature. The advantage of an argument map is ... Critical Thinking Critical Thinking. Critical Thinking is the process of using and assessing reasons to evaluate statements, assumptions, and arguments in ordinary situations. ... the structure) of the argument (see §3). In an informal, or inductive, argument, the conclusion may be false even if the premises are true. In other words, whether an inductive ... Logic and the Study of Arguments 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 ... How to structure and build strong arguments: a step-by-step guide Step 2: Students introduce the argument with a good thesis. In the introduction, students must include two things: An engaging hook to explain the topic's relevance or importance to the audience. A concise, well-structured thesis statement of one to two sentences that asserts their position. Argument & Critical Thinking Tips Welcome to Argument & Critical Thinking! In this learning area, you will learn how to develop an argumentative essay and stronger critical thinking skills. This learning area will help you develop your arguments, understand your audience, evaluate source material, approach arguments rhetorically, and avoid logical fallacies. Arguments and Critical Thinking Sherry Diestler, Becoming a Critical Thinker, 4th ed., p. 403. " Argument: An attempt to support a conclusion by giving reasons for it.". Robert Ennis, Critical Thinking, p. 396. "Argument - A form of thinking in which certain statements (reasons) are offered in support of another statement (conclusion).". Diagramming Arguments, Premise and Conclusion Indicators, with Copious In analyzing the structure of an argument, whether simple or complex, the all-important first step is to find the conclusion. Here are some specific suggestions as to how to find the conclusion. ... Free online course on critical thinking with argument mapping with Mindmup free diagramming software, videos, and practice exercises. (Requires ... 1.4: More Complex Argument Structures The main conclusion of this argument—the statement that depends on other statements as evidence but doesn't itself provide any evidence for any other statement—is: A. This account of the eruption of Mt. Vesuvius was not actually written by an eyewitness. However, the argument's structure is more complex than simply having a couple of ... 8 Analysis, argument and critical thinking 8 Analysis, argument and critical thinking. In this section, we are going to look in detail at analysis and argument. Analytical thinking is a particular type of higher order thinking central to much academic activity. It is concerned with examining 'methodically and in detail the constitution or structure of something' (Oxford English Dictionary). PDF Improving Analysis, Argument and Structure in Your Assignments n this way. analysis forms the main part of any in-depth study. Evaluate e.g. judge the s. ccess or failure of something, its implications and/ or value. Evaluations lead us to conclusions or recommendations and are usually found at the e. r other text.Structure: organising your thoughts and materialTo summarise what we have said so far: the ... What Is Critical Thinking? Critical thinking is the ability to effectively analyze information and form a judgment. To think critically, you must be aware of your own biases and assumptions when encountering information, and apply consistent standards when evaluating sources. Critical thinking skills help you to: Identify credible sources. Evaluate and respond to arguments. Critical Thinking Flawless Structure: 5 Essential Tips Close the argument by drawing a logical conclusion from the supporting reasons to your overall position. Be aware of the concept of summary or summative conclusion as opposed to logical conclusion. Critical Thinking Checklist for a Good Structure with Logical Order: Stating the Point in the first paragraph and/or at the end of the writing; Clarity 8 Of The Most Important Critical Thinking Skills Critical thinking is the ongoing application of unbiased analysis in pursuit of objective truth.. Although its name implies criticism, critical thinking is actually closer to 'truth judgment' based on withholding judgments while evaluating existing and emerging data to form more accurate conclusions.Critical thinking is an ongoing process emphasizing the fluid and continued interpretation ... Persuasive Writing with Critical Thinking: Enhance Your Argumentation Critical thinking ensures that arguments are well-reasoned and evidence-based. It helps identify flaws and biases in reasoning, leading to stronger, more convincing arguments. ... Effective strategies include teaching the importance of research, guiding students on structuring arguments, and encouraging practice through writing exercises. ... Writing Critically and Structuring your Essay Critical writing is not about being negative, rather, it is about examining arguments, ideas and concepts to show a reasoned evaluation or judgement. Writing critically involves considering all perspectives and illustrating how an idea relates to the existing knowledge base, and provides sound reasoning for reaching a conclusion. LibGuides: AI and Critical Thinking: a Resource for Faculty: Student Use tools to spot grammar, spelling, clarity, or structure issues; But make sure all substantive content comes from you; Keep developing your skills; Don't let AI become a crutch that hinders your growth as a writer and thinker; The goal of education is learning, not just completing assignments assignment essay homework paper phd report resume review speech thesis