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Debate & Critical Thinking

We’ve all had debates with friends or on social media, where we get into it over some heated issue.  Emotions get out of control or people say, “we’re going to agree to disagree,” with neither side leaving more enlightened.

Improving our skills for debate and critical thinking can go a long way in making such experiences more enriched.  To do this, we should understand what’s happening with public discourse, how we contribute to the current climate of communication breakdown, and find ways to improve our proclivities.

Today’s Landscape

Modern politics is one example displaying the horrible basis for debate that spills into the public sphere.  Potential candidates get two to five minutes to state their case rather than ample time to explain their position.  This truncates public understanding in the most detrimental way.

The media further compounds this.  First, they glorify a candidate’s confidence and demeanor, ignoring the facts and issues posed.  Then, they show edited clips rather than the whole statement.  This becomes the public focus and contributes to dumbing down the average voter.

Debasing Debate

It creates a false equivalency that means debate is about keeping score; a failure to accept that one side of an argument is just as valid as the other.  It creates an air of intellectual dishonesty which excuses dismissing certain facts to fit a particular narrative. In other words, many people mistakenly believe that accepting a different opinion equals agreement; agreement with an opponent is the same as failure.

Things like this bolster ignorance, apathy, and cynicism.  It puts emotional relativism in the position of morality and breeds rampant, mind-numbing cognitive dissonance.

Debate is the art of taking a position on an issue and discussing it with someone of an opposing view.  This can be beneficial in exposing the public to a range of thoughts and opinions.

The Purpose of Debate

The end result is not to force another into submission or expect change from the opponent.  The concern should be for the audience and giving them information.  The best you can achieve with an opponent is to bring them a more enlightened understanding of your position.

General Method

There are many ways to debate, so the following isn’t a definitive guide.  But, in general, one person presents their side without interruption from the opponent or the audience.  Then the other person states their differing views with the same considerations.

The discussion then goes back to the first person, where they rebut the opposing view with facts and other pertinent information.   The second speaker then weighs their argument against the initial position with data and relevant points.  They go back and forth like this until the argument deadlocks.

Although a debate should reflect respectful attitudes, it doesn’t necessarily have to be friendly.  But it should culminate into truth and reason, regardless of agreement.

Critical Thinking

In general, critical thinking is the ability to analyze an issue scientifically by factoring in evidence, statistics, data, and other relevant information.  This should be objective and unbiased, without the influence of personal feelings and beliefs.

It allows us to make informed, logical choices to the best of our ability.  It’s a personal experience and so there are no real hard rules for conduct.  That said, there are a few points to explore.

Identification

You must first identify the problem or issue in clear terms.  Consider how much you know about the topic and conduct thorough research.

Look up all available information like studies, statistics, primary accounts, photographs, court records, witness videos, declassified documents, and other primary sources.  Take with a grain of salt third-party accounts, news reports, and hearsay statements.

Scrutinize the information for coercive language along with its voracity and validity.  More often than not, many sources have an intentional bias that serves a distinct purpose.  Case in point, in October 2019, ABC twice broadcasted footage they claimed to be Turkish forces bombing Syrian Kurds.  But, it was actually a gun show in Kentucky.

History overflows with vapid examples.  Look at how Roman politicians coerced public opinion with inflammatory language to accept a war against Mark Antony and Cleopatra.

Studies; Statistics

It is of the utmost importance that studies and statistics are peer-reviewed and double-blind to be definitive.  It’s also crucial to find out what organizations support the experts releasing the study.  Any misstep in these can lead to a bias intended to skew the truth.

For example, glyphosate in Monsanto’s pesticide, Ready Round-Up, causes cancer and severe allergic reactions.  But for years Monsanto assured us the product was safe according to independent studies.  The real story is that Monsanto paid scientists to produce a study showing favorable results.

After evaluating the problem combined with your information, ask yourself:  What can I infer from this?  Which conclusions can I draw?  What potential outcomes can I extrapolate?

Test Theories

To ensure your supposition holds true, test it out.  This could mean, but not limited to, getting involved in a debate or making several observations to see if the results are the same every time.

Becoming Better

We can improve our debate and critical thinking by understanding the nuances of each concept and then harmonizing them together.

Watch live debates on public forums like IQ2 or the Munk Debates.  There are also online debate platforms like Kialo and Debate Hub.  Pay attention to form, conduct and flow.

Critical thinking within debate means presenting an unattached view supported by evidence.  You must listen to an opponent without bias or dominating the conversation.  Take careful notes of their logic and information.  Decipher what things are facts and which others are pure biases.

Healing Rifts

This is a simplified overview of the interplay between debate and critical thinking.  It is an art form and takes practice, patience, and tenacity.  With a little humility combined with an ability to think in unbiased, scientific-style terms will help to heal the rifts we now see in public discourse.

http://courses.csail.mit.edu/6.141/spring2013/pub/lectures/Forum-7_Debate101.pdf

Is the Art of Debate a Thing of the Past?

http://www.leaderu.org/common/artofdebate.html

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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 ) . ↩︎

Using the power of debate to enhance critical thinking

Asking students to analyse, defend and counterargue a contentious issue has proved an engaging way to teach reasoning and communication skills in organisational behaviour courses

M. C. Zhang

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The role of debate in the learning process is paramount. As a teacher of organisational behaviour (OB), an interdisciplinary field that probes the intricacies of human actions in organisational settings, I have realised the immense potential of an intellectual tug of war. It nurtures essential skills such as critical thinking and logical reasoning in students.

OB itself draws on myriad concepts, theories and principles from psychology, sociology and anthropology, creating a broad understanding of human behaviour in the workplace. Given the diversity of this field, its students require high levels of critical thinking and logical reasoning to master the concepts. And so to foster these academic and real-world skills, debate sessions have become an integral part of my OB course.

To create a lively learning environment and enhance critical-thinking skills among my students, I introduced a “super debaters” competition. The engaging activity has been met with exuberance and active participation and has become a much-anticipated feature of my OB course. The students research and gather supporting evidence for their respective positions, fuelling dynamic and rigorous analysis, interpretation and evaluation of the topic at hand. 

Before they participate in the debate, students need basic skills such as critical thinking, research skills and how to formulate a sound argument. They should understand the structure of a debate and how to respect and respond to opposing viewpoints. Public-speaking skills – such as articulation, voice modulation, body language and using eye contact – are important, too.

I aim to set aside class time to explain these skills and let students practise. However, the beauty of debate is that it is also a process of learning by doing. As students participate, they start developing these skills.

• Collection: Teaching critical thinking
• Using affective learning to foster engagement and critical thinking
• Harness human and artificial intelligence to improve classroom debates

Super debaters is no ordinary debating competition. It is a platform for students to delve into contentious issues related to the course content, express their opinions, challenge opposing views and defend their stance. It encourages them to interrogate an issue, scrutinise evidence and construct logical arguments, thereby honing their critical-thinking and logical-reasoning skills.

When choosing a topic for a debate, I consider the following factors:

• Relevance: I choose topics that are related to the course content, students’ lives or hot topics in society.
• Controversial aspect: Each topic should have the capacity to generate an effective debate.
• Student interest: If the topic is stimulating to students, they are more likely to immerse themselves in discussion and go deeper into understanding the topic.
• Compatibility with students’ comprehension level: The topic shouldn’t be too difficult or obscure for students to understand and discuss in depth.
• Enhance students’ critical-thinking skills: Suitable topics encourage students to view problems from different perspectives. They have a high relevance to the teaching objectives and can engage the students, provoking their thinking.

Each debate session begins with the introduction of a relevant topic – a recent question was “Is emotional intelligence more important than cognitive intelligence in the workplace?” – and the class is divided into teams of four to six students. Each group is assigned a position to defend, sparking off an intellectual tug of war.

After each team has presented, you could have an open-floor debate where members of each team can question the other’s arguments. It’s essential when setting up the debate that the rules and expectations are explained clearly to the students in terms of time allocation, order of speakers and respect for each other’s speaking times.

During these debates, students are encouraged to maintain the decorum of a healthy debate, present their arguments effectively, challenge their opponents logically and respond to counterarguments critically. The exercise promotes a deep understanding of the course content and fosters a spirit of enquiry among students.

At the end of each session, the entire class votes to decide the “best” debaters. The process ensures a fair and democratic selection. The winning group is presented with a bouquet of flowers (see below), further fuelling the competitive spirit and boosting the students’ confidence.

The super debaters format not only allows students to engage with the course content in a practical and interactive manner, it also bridges the gap between theoretical knowledge and its real-world application. The students have expressed their fondness for this engaging and inclusive method of learning, which has significantly enhanced their knowledge, critical thinking and communication skills.

According to one student, debates enhance their knowledge in an engaging and practical way. The format requires students to refine their ideas, scrutinise their beliefs and articulate their opinions in a cogent manner. Another student emphasised that debates led to a deeper comprehension of theories.

Moreover, this exercise improves the students’ communication skills, as they learn to express their views logically and convincingly, a skill highly valued in both academic and professional realms.

Debates have proved to be an effective pedagogical tool in my OB course. The power of debate is something that educators across disciplines can harness to stimulate intellectual growth among students. It not only enriches the academic journey of students but also prepares them for real-world challenges in the professional sphere.

M. C. Zhang is assistant professor at the School of Liberal Arts at Macau University of Science and Technology.

If you would like advice and insight from academics and university staff delivered direct to your inbox each week,  sign up for the Campus newsletter .

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What is Critical Thinking?

Critical thinking is the ability to think clearly and rationally, understanding the logical connection between ideas.  Critical thinking has been the subject of much debate and thought since the time of early Greek philosophers such as Plato and Socrates and has continued to be a subject of discussion into the modern age, for example the ability to recognise fake news .

Critical thinking might be described as the ability to engage in reflective and independent thinking.

In essence, critical thinking requires you to use your ability to reason. It is about being an active learner rather than a passive recipient of information.

Critical thinkers rigorously question ideas and assumptions rather than accepting them at face value. They will always seek to determine whether the ideas, arguments and findings represent the entire picture and are open to finding that they do not.

Critical thinkers will identify, analyse and solve problems systematically rather than by intuition or instinct.

Someone with critical thinking skills can:

Understand the links between ideas.

Determine the importance and relevance of arguments and ideas.

Recognise, build and appraise arguments.

Identify inconsistencies and errors in reasoning.

Approach problems in a consistent and systematic way.

Reflect on the justification of their own assumptions, beliefs and values.

Critical thinking is thinking about things in certain ways so as to arrive at the best possible solution in the circumstances that the thinker is aware of. In more everyday language, it is a way of thinking about whatever is presently occupying your mind so that you come to the best possible conclusion.

Critical Thinking is:

A way of thinking about particular things at a particular time; it is not the accumulation of facts and knowledge or something that you can learn once and then use in that form forever, such as the nine times table you learn and use in school.

The Skills We Need for Critical Thinking

The skills that we need in order to be able to think critically are varied and include observation, analysis, interpretation, reflection, evaluation, inference, explanation, problem solving, and decision making.

Specifically we need to be able to:

Think about a topic or issue in an objective and critical way.

Identify the different arguments there are in relation to a particular issue.

Evaluate a point of view to determine how strong or valid it is.

Recognise any weaknesses or negative points that there are in the evidence or argument.

Notice what implications there might be behind a statement or argument.

Provide structured reasoning and support for an argument that we wish to make.

The Critical Thinking Process

You should be aware that none of us think critically all the time.

Sometimes we think in almost any way but critically, for example when our self-control is affected by anger, grief or joy or when we are feeling just plain ‘bloody minded’.

On the other hand, the good news is that, since our critical thinking ability varies according to our current mindset, most of the time we can learn to improve our critical thinking ability by developing certain routine activities and applying them to all problems that present themselves.

Once you understand the theory of critical thinking, improving your critical thinking skills takes persistence and practice.

Try this simple exercise to help you to start thinking critically.

Think of something that someone has recently told you. Then ask yourself the following questions:

Who said it?

Someone you know? Someone in a position of authority or power? Does it matter who told you this?

What did they say?

Did they give facts or opinions? Did they provide all the facts? Did they leave anything out?

Where did they say it?

Was it in public or in private? Did other people have a chance to respond an provide an alternative account?

When did they say it?

Was it before, during or after an important event? Is timing important?

Why did they say it?

Did they explain the reasoning behind their opinion? Were they trying to make someone look good or bad?

How did they say it?

Were they happy or sad, angry or indifferent? Did they write it or say it? Could you understand what was said?

What are you Aiming to Achieve?

One of the most important aspects of critical thinking is to decide what you are aiming to achieve and then make a decision based on a range of possibilities.

Once you have clarified that aim for yourself you should use it as the starting point in all future situations requiring thought and, possibly, further decision making. Where needed, make your workmates, family or those around you aware of your intention to pursue this goal. You must then discipline yourself to keep on track until changing circumstances mean you have to revisit the start of the decision making process.

However, there are things that get in the way of simple decision making. We all carry with us a range of likes and dislikes, learnt behaviours and personal preferences developed throughout our lives; they are the hallmarks of being human. A major contribution to ensuring we think critically is to be aware of these personal characteristics, preferences and biases and make allowance for them when considering possible next steps, whether they are at the pre-action consideration stage or as part of a rethink caused by unexpected or unforeseen impediments to continued progress.

The more clearly we are aware of ourselves, our strengths and weaknesses, the more likely our critical thinking will be productive.

The Benefit of Foresight

Perhaps the most important element of thinking critically is foresight.

Almost all decisions we make and implement don’t prove disastrous if we find reasons to abandon them. However, our decision making will be infinitely better and more likely to lead to success if, when we reach a tentative conclusion, we pause and consider the impact on the people and activities around us.

The elements needing consideration are generally numerous and varied. In many cases, consideration of one element from a different perspective will reveal potential dangers in pursuing our decision.

For instance, moving a business activity to a new location may improve potential output considerably but it may also lead to the loss of skilled workers if the distance moved is too great. Which of these is the more important consideration? Is there some way of lessening the conflict?

These are the sort of problems that may arise from incomplete critical thinking, a demonstration perhaps of the critical importance of good critical thinking.

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In Summary:

Critical thinking is aimed at achieving the best possible outcomes in any situation. In order to achieve this it must involve gathering and evaluating information from as many different sources possible.

Critical thinking requires a clear, often uncomfortable, assessment of your personal strengths, weaknesses and preferences and their possible impact on decisions you may make.

Critical thinking requires the development and use of foresight as far as this is possible. As Doris Day sang, “the future’s not ours to see”.

Implementing the decisions made arising from critical thinking must take into account an assessment of possible outcomes and ways of avoiding potentially negative outcomes, or at least lessening their impact.

• Critical thinking involves reviewing the results of the application of decisions made and implementing change where possible.

It might be thought that we are overextending our demands on critical thinking in expecting that it can help to construct focused meaning rather than examining the information given and the knowledge we have acquired to see if we can, if necessary, construct a meaning that will be acceptable and useful.

After all, almost no information we have available to us, either externally or internally, carries any guarantee of its life or appropriateness.  Neat step-by-step instructions may provide some sort of trellis on which our basic understanding of critical thinking can blossom but it doesn’t and cannot provide any assurance of certainty, utility or longevity.

Continue to: Critical Thinking and Fake News Critical Reading

See also: Analytical Skills Understanding and Addressing Conspiracy Theories Introduction to Neuro-Linguistic Programming (NLP)

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Critical Thinking Is About Asking Better Questions

• John Coleman

Six practices to sharpen your inquiry.

Critical thinking is the ability to analyze and effectively break down an issue in order to make a decision or find a solution. At the heart of critical thinking is the ability to formulate deep, different, and effective questions. For effective questioning, start by holding your hypotheses loosely. Be willing to fundamentally reconsider your initial conclusions — and do so without defensiveness. Second, listen more than you talk through active listening. Third, leave your queries open-ended, and avoid yes-or-no questions. Fourth, consider the counterintuitive to avoid falling into groupthink. Fifth, take the time to stew in a problem, rather than making decisions unnecessarily quickly. Last, ask thoughtful, even difficult, follow-ups.

Are you tackling a new and difficult problem at work? Recently promoted and trying to both understand your new role and bring a fresh perspective? Or are you new to the workforce and seeking ways to meaningfully contribute alongside your more experienced colleagues? If so, critical thinking — the ability to analyze and effectively break down an issue in order to make a decision or find a solution — will be core to your success. And at the heart of critical thinking is the ability to formulate deep, different, and effective questions.

• JC John Coleman is the author of the HBR Guide to Crafting Your Purpose . Subscribe to his free newsletter, On Purpose , follow him on Twitter @johnwcoleman, or contact him at johnwilliamcoleman.com.

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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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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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Classroom Q&A

With larry ferlazzo.

In this EdWeek blog, an experiment in knowledge-gathering, Ferlazzo will address readers’ questions on classroom management, ELL instruction, lesson planning, and other issues facing teachers. Send your questions to [email protected]. Read more from this blog.

Integrating Critical Thinking Into the Classroom

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(This is the second post in a three-part series. You can see Part One here .)

The new question-of-the-week is:

What is critical thinking and how can we integrate it into the classroom?

Part One ‘s guests were Dara Laws Savage, Patrick Brown, Meg Riordan, Ph.D., and Dr. PJ Caposey. Dara, Patrick, and Meg were also guests on my 10-minute BAM! Radio Show . You can also find a list of, and links to, previous shows here.

Today, Dr. Kulvarn Atwal, Elena Quagliarello, Dr. Donna Wilson, and Diane Dahl share their recommendations.

‘Learning Conversations’

Dr. Kulvarn Atwal is currently the executive head teacher of two large primary schools in the London borough of Redbridge. Dr. Atwal is the author of The Thinking School: Developing a Dynamic Learning Community , published by John Catt Educational. Follow him on Twitter @Thinkingschool2 :

In many classrooms I visit, students’ primary focus is on what they are expected to do and how it will be measured. It seems that we are becoming successful at producing students who are able to jump through hoops and pass tests. But are we producing children that are positive about teaching and learning and can think critically and creatively? Consider your classroom environment and the extent to which you employ strategies that develop students’ critical-thinking skills and their self-esteem as learners.

Development of self-esteem

One of the most significant factors that impacts students’ engagement and achievement in learning in your classroom is their self-esteem. In this context, self-esteem can be viewed to be the difference between how they perceive themselves as a learner (perceived self) and what they consider to be the ideal learner (ideal self). This ideal self may reflect the child that is associated or seen to be the smartest in the class. Your aim must be to raise students’ self-esteem. To do this, you have to demonstrate that effort, not ability, leads to success. Your language and interactions in the classroom, therefore, have to be aspirational—that if children persist with something, they will achieve.

Use of evaluative praise

Ensure that when you are praising students, you are making explicit links to a child’s critical thinking and/or development. This will enable them to build their understanding of what factors are supporting them in their learning. For example, often when we give feedback to students, we may simply say, “Well done” or “Good answer.” However, are the students actually aware of what they did well or what was good about their answer? Make sure you make explicit what the student has done well and where that links to prior learning. How do you value students’ critical thinking—do you praise their thinking and demonstrate how it helps them improve their learning?

Learning conversations to encourage deeper thinking

We often feel as teachers that we have to provide feedback to every students’ response, but this can limit children’s thinking. Encourage students in your class to engage in learning conversations with each other. Give as many opportunities as possible to students to build on the responses of others. Facilitate chains of dialogue by inviting students to give feedback to each other. The teacher’s role is, therefore, to facilitate this dialogue and select each individual student to give feedback to others. It may also mean that you do not always need to respond at all to a student’s answer.

Teacher modelling own thinking

We cannot expect students to develop critical-thinking skills if we aren’t modeling those thinking skills for them. Share your creativity, imagination, and thinking skills with the students and you will nurture creative, imaginative critical thinkers. Model the language you want students to learn and think about. Share what you feel about the learning activities your students are participating in as well as the thinking you are engaging in. Your own thinking and learning will add to the discussions in the classroom and encourage students to share their own thinking.

Metacognitive questioning

Consider the extent to which your questioning encourages students to think about their thinking, and therefore, learn about learning! Through asking metacognitive questions, you will enable your students to have a better understanding of the learning process, as well as their own self-reflections as learners. Example questions may include:

• Why did you choose to do it that way?
• When you find something tricky, what helps you?
• How do you know when you have really learned something?

‘Adventures of Discovery’

Elena Quagliarello is the senior editor of education for Scholastic News , a current events magazine for students in grades 3–6. She graduated from Rutgers University, where she studied English and earned her master’s degree in elementary education. She is a certified K–12 teacher and previously taught middle school English/language arts for five years:

Critical thinking blasts through the surface level of a topic. It reaches beyond the who and the what and launches students on a learning journey that ultimately unlocks a deeper level of understanding. Teaching students how to think critically helps them turn information into knowledge and knowledge into wisdom. In the classroom, critical thinking teaches students how to ask and answer the questions needed to read the world. Whether it’s a story, news article, photo, video, advertisement, or another form of media, students can use the following critical-thinking strategies to dig beyond the surface and uncover a wealth of knowledge.

A Layered Learning Approach

Begin by having students read a story, article, or analyze a piece of media. Then have them excavate and explore its various layers of meaning. First, ask students to think about the literal meaning of what they just read. For example, if students read an article about the desegregation of public schools during the 1950s, they should be able to answer questions such as: Who was involved? What happened? Where did it happen? Which details are important? This is the first layer of critical thinking: reading comprehension. Do students understand the passage at its most basic level?

Ask the Tough Questions

The next layer delves deeper and starts to uncover the author’s purpose and craft. Teach students to ask the tough questions: What information is included? What or who is left out? How does word choice influence the reader? What perspective is represented? What values or people are marginalized? These questions force students to critically analyze the choices behind the final product. In today’s age of fast-paced, easily accessible information, it is essential to teach students how to critically examine the information they consume. The goal is to equip students with the mindset to ask these questions on their own.

Strike Gold

The deepest layer of critical thinking comes from having students take a step back to think about the big picture. This level of thinking is no longer focused on the text itself but rather its real-world implications. Students explore questions such as: Why does this matter? What lesson have I learned? How can this lesson be applied to other situations? Students truly engage in critical thinking when they are able to reflect on their thinking and apply their knowledge to a new situation. This step has the power to transform knowledge into wisdom.

Adventures of Discovery

There are vast ways to spark critical thinking in the classroom. Here are a few other ideas:

• Critical Expressionism: In this expanded response to reading from a critical stance, students are encouraged to respond through forms of artistic interpretations, dramatizations, singing, sketching, designing projects, or other multimodal responses. For example, students might read an article and then create a podcast about it or read a story and then act it out.
• Transmediations: This activity requires students to take an article or story and transform it into something new. For example, they might turn a news article into a cartoon or turn a story into a poem. Alternatively, students may rewrite a story by changing some of its elements, such as the setting or time period.
• Words Into Action: In this type of activity, students are encouraged to take action and bring about change. Students might read an article about endangered orangutans and the effects of habitat loss caused by deforestation and be inspired to check the labels on products for palm oil. They might then write a letter asking companies how they make sure the palm oil they use doesn’t hurt rain forests.
• Socratic Seminars: In this student-led discussion strategy, students pose thought-provoking questions to each other about a topic. They listen closely to each other’s comments and think critically about different perspectives.
• Classroom Debates: Aside from sparking a lively conversation, classroom debates naturally embed critical-thinking skills by asking students to formulate and support their own opinions and consider and respond to opposing viewpoints.

Critical thinking has the power to launch students on unforgettable learning experiences while helping them develop new habits of thought, reflection, and inquiry. Developing these skills prepares students to examine issues of power and promote transformative change in the world around them.

‘Quote Analysis’

Dr. Donna Wilson is a psychologist and the author of 20 books, including Developing Growth Mindsets , Teaching Students to Drive Their Brains , and Five Big Ideas for Effective Teaching (2 nd Edition). She is an international speaker who has worked in Asia, the Middle East, Australia, Europe, Jamaica, and throughout the U.S. and Canada. Dr. Wilson can be reached at [email protected] ; visit her website at www.brainsmart.org .

Diane Dahl has been a teacher for 13 years, having taught grades 2-4 throughout her career. Mrs. Dahl currently teaches 3rd and 4th grade GT-ELAR/SS in Lovejoy ISD in Fairview, Texas. Follow her on Twitter at @DahlD, and visit her website at www.fortheloveofteaching.net :

A growing body of research over the past several decades indicates that teaching students how to be better thinkers is a great way to support them to be more successful at school and beyond. In the book, Teaching Students to Drive Their Brains , Dr. Wilson shares research and many motivational strategies, activities, and lesson ideas that assist students to think at higher levels. Five key strategies from the book are as follows:

• Facilitate conversation about why it is important to think critically at school and in other contexts of life. Ideally, every student will have a contribution to make to the discussion over time.
• Begin teaching thinking skills early in the school year and as a daily part of class.
• As this instruction begins, introduce students to the concept of brain plasticity and how their brilliant brains change during thinking and learning. This can be highly motivational for students who do not yet believe they are good thinkers!
• Explicitly teach students how to use the thinking skills.
• Facilitate student understanding of how the thinking skills they are learning relate to their lives at school and in other contexts.

Below are two lessons that support critical thinking, which can be defined as the objective analysis and evaluation of an issue in order to form a judgment.

Mrs. Dahl prepares her 3rd and 4th grade classes for a year of critical thinking using quote analysis .

During Native American studies, her 4 th grade analyzes a Tuscarora quote: “Man has responsibility, not power.” Since students already know how the Native Americans’ land had been stolen, it doesn’t take much for them to make the logical leaps. Critical-thought prompts take their thinking even deeper, especially at the beginning of the year when many need scaffolding. Some prompts include:

• … from the point of view of the Native Americans?
• … from the point of view of the settlers?
• How do you think your life might change over time as a result?
• Can you relate this quote to anything else in history?

Analyzing a topic from occupational points of view is an incredibly powerful critical-thinking tool. After learning about the Mexican-American War, Mrs. Dahl’s students worked in groups to choose an occupation with which to analyze the war. The chosen occupations were: anthropologist, mathematician, historian, archaeologist, cartographer, and economist. Then each individual within each group chose a different critical-thinking skill to focus on. Finally, they worked together to decide how their occupation would view the war using each skill.

For example, here is what each student in the economist group wrote:

• When U.S.A. invaded Mexico for land and won, Mexico ended up losing income from the settlements of Jose de Escandon. The U.S.A. thought that they were gaining possible tradable land, while Mexico thought that they were losing precious land and resources.
• Whenever Texas joined the states, their GDP skyrocketed. Then they went to war and spent money on supplies. When the war was resolving, Texas sold some of their land to New Mexico for $10 million. This allowed Texas to pay off their debt to the U.S., improving their relationship.
• A detail that converged into the Mexican-American War was that Mexico and the U.S. disagreed on the Texas border. With the resulting treaty, Texas ended up gaining more land and economic resources.
• Texas gained land from Mexico since both countries disagreed on borders. Texas sold land to New Mexico, which made Texas more economically structured and allowed them to pay off their debt.

This was the first time that students had ever used the occupations technique. Mrs. Dahl was astonished at how many times the kids used these critical skills in other areas moving forward.

Thanks to Dr. Auwal, Elena, Dr. Wilson, and Diane for their contributions!

Please feel free to leave a comment with your reactions to the topic or directly to anything that has been said in this post.

Consider contributing a question to be answered in a future post. You can send one to me at [email protected] . When you send it in, let me know if I can use your real name if it’s selected or if you’d prefer remaining anonymous and have a pseudonym in mind.

You can also contact me on Twitter at @Larryferlazzo .

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Critical Thinking: A Simple Guide and Why It’s Important

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Critical Thinking: A Simple Guide and Why It’s Important was originally published on Ivy Exec .

Strong critical thinking skills are crucial for career success, regardless of educational background. It embodies the ability to engage in astute and effective decision-making, lending invaluable dimensions to professional growth.

At its essence, critical thinking is the ability to analyze, evaluate, and synthesize information in a logical and reasoned manner. It’s not merely about accumulating knowledge but harnessing it effectively to make informed decisions and solve complex problems. In the dynamic landscape of modern careers, honing this skill is paramount.

The Impact of Critical Thinking on Your Career

☑ problem-solving mastery.

Visualize critical thinking as the Sherlock Holmes of your career journey. It facilitates swift problem resolution akin to a detective unraveling a mystery. By methodically analyzing situations and deconstructing complexities, critical thinkers emerge as adept problem solvers, rendering them invaluable assets in the workplace.

☑ Refined Decision-Making

Navigating dilemmas in your career path resembles traversing uncertain terrain. Critical thinking acts as a dependable GPS, steering you toward informed decisions. It involves weighing options, evaluating potential outcomes, and confidently choosing the most favorable path forward.

☑ Enhanced Teamwork Dynamics

Within collaborative settings, critical thinkers stand out as proactive contributors. They engage in scrutinizing ideas, proposing enhancements, and fostering meaningful contributions. Consequently, the team evolves into a dynamic hub of ideas, with the critical thinker recognized as the architect behind its success.

☑ Communication Prowess

Effective communication is the cornerstone of professional interactions. Critical thinking enriches communication skills, enabling the clear and logical articulation of ideas. Whether in emails, presentations, or casual conversations, individuals adept in critical thinking exude clarity, earning appreciation for their ability to convey thoughts seamlessly.

☑ Adaptability and Resilience

Perceptive individuals adept in critical thinking display resilience in the face of unforeseen challenges. Instead of succumbing to panic, they assess situations, recalibrate their approaches, and persist in moving forward despite adversity.

☑ Fostering Innovation

Innovation is the lifeblood of progressive organizations, and critical thinking serves as its catalyst. Proficient critical thinkers possess the ability to identify overlooked opportunities, propose inventive solutions, and streamline processes, thereby positioning their organizations at the forefront of innovation.

☑ Confidence Amplification

Critical thinkers exude confidence derived from honing their analytical skills. This self-assurance radiates during job interviews, presentations, and daily interactions, catching the attention of superiors and propelling career advancement.

So, how can one cultivate and harness this invaluable skill?

✅ developing curiosity and inquisitiveness:.

Embrace a curious mindset by questioning the status quo and exploring topics beyond your immediate scope. Cultivate an inquisitive approach to everyday situations. Encourage a habit of asking “why” and “how” to deepen understanding. Curiosity fuels the desire to seek information and alternative perspectives.

✅ Practice Reflection and Self-Awareness:

Engage in reflective thinking by assessing your thoughts, actions, and decisions. Regularly introspect to understand your biases, assumptions, and cognitive processes. Cultivate self-awareness to recognize personal prejudices or cognitive biases that might influence your thinking. This allows for a more objective analysis of situations.

✅ Strengthening Analytical Skills:

Practice breaking down complex problems into manageable components. Analyze each part systematically to understand the whole picture. Develop skills in data analysis, statistics, and logical reasoning. This includes understanding correlation versus causation, interpreting graphs, and evaluating statistical significance.

✅ Engaging in Active Listening and Observation:

Actively listen to diverse viewpoints without immediately forming judgments. Allow others to express their ideas fully before responding. Observe situations attentively, noticing details that others might overlook. This habit enhances your ability to analyze problems more comprehensively.

✅ Encouraging Intellectual Humility and Open-Mindedness:

Foster intellectual humility by acknowledging that you don’t know everything. Be open to learning from others, regardless of their position or expertise. Cultivate open-mindedness by actively seeking out perspectives different from your own. Engage in discussions with people holding diverse opinions to broaden your understanding.

✅ Practicing Problem-Solving and Decision-Making:

Engage in regular problem-solving exercises that challenge you to think creatively and analytically. This can include puzzles, riddles, or real-world scenarios. When making decisions, consciously evaluate available information, consider various alternatives, and anticipate potential outcomes before reaching a conclusion.

✅ Continuous Learning and Exposure to Varied Content:

Read extensively across diverse subjects and formats, exposing yourself to different viewpoints, cultures, and ways of thinking. Engage in courses, workshops, or seminars that stimulate critical thinking skills. Seek out opportunities for learning that challenge your existing beliefs.

✅ Engage in Constructive Disagreement and Debate:

Encourage healthy debates and discussions where differing opinions are respectfully debated.

This practice fosters the ability to defend your viewpoints logically while also being open to changing your perspective based on valid arguments. Embrace disagreement as an opportunity to learn rather than a conflict to win. Engaging in constructive debate sharpens your ability to evaluate and counter-arguments effectively.

✅ Utilize Problem-Based Learning and Real-World Applications:

Engage in problem-based learning activities that simulate real-world challenges. Work on projects or scenarios that require critical thinking skills to develop practical problem-solving approaches. Apply critical thinking in real-life situations whenever possible.

This could involve analyzing news articles, evaluating product reviews, or dissecting marketing strategies to understand their underlying rationale.

In conclusion, critical thinking is the linchpin of a successful career journey. It empowers individuals to navigate complexities, make informed decisions, and innovate in their respective domains. Embracing and honing this skill isn’t just an advantage; it’s a necessity in a world where adaptability and sound judgment reign supreme.

So, as you traverse your career path, remember that the ability to think critically is not just an asset but the differentiator that propels you toward excellence.

7 tips to master critical thinking and unleash your inner problem solver

C ritical thinking is a fundamental skill that empowers students and young professionals to navigate the complexities of academic and professional life.

Developing strong critical thinking abilities enhances problem-solving, decision-making, and analytical skills.

Here are seven expert tips to help you master the art of critical thinking and thrive in your academic pursuits and professional endeavours:

1. QUESTION ASSUMPTIONS

Challenge assumptions and never take information at face value. Dig deeper, ask probing questions, and seek evidence to support or refute claims.

By questioning assumptions, you'll develop a more comprehensive understanding of complex issues.

2. ANALYSE MULTIPLE PERSPECTIVES

Broaden your viewpoint by analysing different perspectives and considering diverse opinions. Evaluate arguments objectively, weighing the strengths and weaknesses of each viewpoint.

This practice will enhance your ability to think critically and make well-rounded judgments.

3. DEVELOP PROBLEM-SOLVING SKILLS

Critical thinking is closely linked to problem-solving. Sharpen your problem-solving abilities by breaking down complex problems into manageable parts, identifying key factors, and exploring alternative solutions.

Embrace a systematic approach to problem-solving to enhance your critical thinking prowess.

4. CULTIVATE CURIOSITY AND CREATIVITY

Nurture a curious and creative mindset. Curiosity encourages exploration, while creativity allows for unique insights and novel approaches.

Embrace new ideas, seek diverse experiences, and challenge conventional thinking patterns to expand your critical thinking capabilities.

5. PRACTICE REFLECTIVE THINKING

Allocate time for reflection and introspection. Regularly evaluate your thoughts, actions, and decision-making processes.

Reflective thinking allows you to identify biases, assess the effectiveness of your reasoning, and make improvements. Embrace self-awareness as a tool for enhancing critical thinking skills.

6. HONE ANALYTICAL SKILLS

Develop strong analytical skills to evaluate information critically. Enhance your ability to interpret data, identify patterns, and draw meaningful conclusions.

Analytical thinking enables you to make well-informed judgments based on evidence and logical reasoning.

7. ENGAGE IN DISCUSSIONS AND DEBATES

Participate in discussions and debates on diverse topics. Engaging in intellectual discourse exposes you to different perspectives, challenges your beliefs, and sharpens your critical thinking skills.

Constructively debate ideas, listen actively, and articulate your thoughts effectively to strengthen your ability to think critically.

By incorporating these seven tips into your UPSC preparation journey, you'll develop and master the art of critical thinking.

Remember, critical thinking is a skill that can be honed with practice and dedication. Embrace a mindset of curiosity, open-mindedness, and intellectual rigor to excel in your UPSC exams and beyond.

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What we know, and don't know, about the presidential debates

President Joe Biden and Donald Trump have agreed to participate in two general election debates: One in June and one in September

WASHINGTON -- After months of questions about whether general election debates would happen, President Joe Biden and Republican nominee Donald Trump have agreed to participate in two of them: one in June and one in September.

But there are still some nitty-gritty details to be worked out, including the formats of the events and who will moderate. Here's what we know so far:

Trump and Biden have agreed to two debates. The first will held at 9 pm. Eastern time on June 27 at CNN’s studios in Atlanta, in a critical battleground state. “To ensure candidates may maximize the time allotted in the debate, no audience will be present," CNN said in a statement. To qualify, candidates must receive at least 15% in four national polls of registered or likely voters that meet CNN’s standards.

Anchors Jake Tapper and Dana Bash would moderate the debate, CNN said.

The second debate will take place on Sept. 10 and will be hosted by ABC. While ABC has yet to detail where that debate will take place or the format, it set the same 15% polling threshold as CNN. Anchors David Muir and Linsey Davis will moderate that debate, the network said.

“It is my great honor to accept the CNN Debate against Crooked Joe Biden," Trump posted on his Truth Social site. “Likewise, I accept the ABC News Debate against Crooked Joe on September 10th."

Biden said he'd done the same.

“Trump says he’ll arrange his own transportation,” Biden wrote on X. “I’ll bring my plane, too. I plan on keeping it for another four years.”

The first debate will play out in a jam-packed and unsettled political calendar, before either candidate becomes his party's official nominee at the summer conventions — scheduled to begin July 15 for Republicans and Aug. 19 for Democrats.

The June 27 match-up will come after the expected conclusion of Trump’s criminal hush money trial in New York, foreign trips by Biden in mid-June to France and Italy, and the end of the Supreme Court’s term. That term will include a ruling on whether Trump is immune from federal prosecution for his role in the Jan. 6 Capitol insurrection. The debate will also come before the expected start of two criminal trials on opposite coasts for the president’s son, Hunter.

The second debate would take place before most states begin early voting — though some overseas and military ballots may already be in the mail.

Trump's campaign is also pushing for more debates. In a memorandum Wednesday, senior campaign advisers Chris LaCivita and Susie Wiles sent a memo to Biden campaign chair Jen O’Malley Dillon saying, “we believe there should be more than just two opportunities for the American people to hear more from the candidates themselves.” They proposed holding one debate per month, with events in June, July, August and September, in addition to a vice presidential debate.

“Additional dates will allow voters to have maximum exposure to the records and future visions of each candidate,” they wrote. Biden's campaign didn't respond to a request for comment on the Trump team's push for additional match-ups.

Trump has also expressed other preferences. In an interview Wednesday morning with conservative radio host Hugh Hewitt, he agreed the debates “should go two hours” and also said he'd prefer if the men stand instead of sit.

“A stand-up podium is important," he said, adding he thinks Biden wants to sit. He also said he would prefer the events take place in larger venues, before a live audience.

"It’s just more exciting,” he said.

The Biden campaign outlined its own preferences in a letter Wednesday. It wants candidates' microphones muted when they aren't recognized to speak to promote “orderly proceeding,” and it is opposed to live studio audiences.

“The debates should be conducted for the benefit of the American voters, watching on television and at home — not as entertainment for an in-person audience with raucous or disruptive partisans and donors, who consume valuable debate time with noisy spectacles of approval or jeering," O’Malley Dillon wrote.

Biden's camp also argued third-party candidates should be excluded. “The debates should be one-on-one, allowing voters to compare the only two candidates with any statistical chance of prevailing in the Electoral College," O’Malley Dillon wrote, “not squandering debate time on candidates with no prospect of becoming President.”

There should also, she wrote, “be firm time limits for answers, and alternate turns to speak — so that the time is evenly divided and we have an exchange of views, not a spectacle of mutual interruption.”

The deal between the campaigns now sidelines the Commission on Presidential Debates, the nonpartisan group that has organized them for more than three decades. Both campaigns had expressed longstanding concerns about the commission’s operations, with Trump blaming it for microphone issues during a debate in 2016 and Biden’s campaign calling its plans “out of step with changes in the structure of our elections and the interests of voters.”

Both sides had taken particular issue with the dates the commission had announced, arguing the debates should happen earlier, before voting begins.

In a statement, the debates commission noted it had been “established in 1987 specifically to ensure that such debates reliably take place and reach the widest television, radio and streaming audience. Our 2024 sites, all locations of higher learning, are prepared to host debates on dates chosen to accommodate early voters. We will continue to be ready to execute this plan.”

The debates will be the first televised general election match-ups to be hosted by an individual news organization. The 1960 debates, which helped show the power of the medium to influence public opinion, were hosted jointly by the leading networks of the day, ABC, CBS and NBC. The presidential debates of 1976, 1980 and 1984 were organized by the League of Women Voters, and every debate since has been hosted by the Commission on Presidential Debates.

Traditionally the debates are simulcast across all networks and other streaming outlets to reach the widest possible viewing audience. It was not yet clear whether the 2024 matchups would be shared similarly.

The Biden and Trump teams accepted the invitations from ABC and CNN after the Biden campaign proposed that the debates this year be hosted by any broadcast organization that hosted a Republican primary debate in 2016 and a Democratic primary debate in 2020. In that event, "neither campaign can assert that the sponsoring organization is obviously unacceptable: if both candidates have previously debated on their airwaves, then neither could object to such venue.”

Those criteria would eliminate Fox News, which did not host a Democratic primary debate in 2020, and NBC News, which did not host a GOP one in 2016 — though its corporate affiliates CNBC and Telemundo were co-hosts of one debate each that year.

Trump has said he accepted a debate invitation in October from Fox News, though Biden's team dismissed it as “playing games.”

Both Biden and Trump are expected to engage in intensive preparation sessions before the debates. Former Biden chief of staff Ron Klain, who now works at Airbnb, told the AP he will use vacation time to help Biden get ready to face off with Trump. Former New Jersey Gov. Chris Christie, who helped Trump prepare for previous debates, seems unlikely to reprise the role, having suffered a falling out with the presumptive GOP nominee.

It is unclear whether any third party candidates will qualify for the debates, but both CNN and ABC's criteria appear to pose an challenge for Robert F. Kennedy Jr. He railed against the plan on X on Wednesday, accusing Trump and Biden of "colluding to lock America into a head-to-head match-up that 70% say they do not want.

“They are trying to exclude me from their debate because they are afraid I would win," he wrote. “Keeping viable candidates off the debate stage undermines democracy.”

In addition to their polling requirements, both CNN and ABC said that in order to qualify, a candidate’s name must appear on a sufficient number of state ballots to qualify that person to reach 270 electoral college votes.

So far, Kennedy has qualified for the general election ballot in three states -- California, Michigan and Utah, according to AP Elections Research. He is listed as an independent or minor party candidate in eight more states, but hasn’t yet qualified for the ballot in them. They are Delaware, Hawaii, Idaho, Iowa, Nebraska, Nevada, New Hampshire and North Carolina. Those 11 states have a combined 123 electoral college votes, meaning he would need to get on the ballot in additional states in order to qualify.

___ Colvin reported from New York.

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Here's everything you need to know about the upcoming presidential debates

For months, voters, journalists and political observers wondered whether President Joe Biden and former President Donald Trump would meet face to face this year for debates ahead of the 2024 presidential election.

On Wednesday, both campaigns finally committed to at least two debates, which will look different in several ways from what we're used to. Here's everything you need to know about who will participate, when to watch and how these debates came together.

When are Trump and Biden set to debate?

The campaigns agreed on two dates: June 27 and Sept. 10. The June debate will take place in Atlanta, Georgia, at 9 p.m. ET. Details about the time and place of the September debate have not yet been announced.

Who will moderate the debates?

CNN is set to host the first debate, with anchors Jake Tapper and Dana Bash  serving as co-moderators.

ABC News will host the second debate in September, with anchors David Muir and Linsey Davis as co-moderators.

Where can I watch the debates?

Both networks plan to air the debate on linear TV, while ABC News announced that the September debate would also be available on its streaming network, ABC News Live, as well as Hulu. ABC also said it would allow other broadcast and streaming networks to simulcast its debate.

Who is leading the presidential polls ahead of the first debate?

Most recent national and battleground state polls indicate a tight race in head-to-head matchups between Biden and Trump, with the former president faring better in the surveys but the race still close.

A Fox News national poll out this week found that 49% of registered voters said they would vote for Trump, while 48% of those voters said they would vote for Biden.

What are the debate rules, restrictions and conditions?

Both CNN and ABC News have announced that candidates must meet certain requirements and polling thresholds to appear on the debate stage.

In addition to meeting constitutional requirements and registering as a candidate with the Federal Election Commission, both news organizations are requiring that candidates are on the ballot in enough states to reach at least 270 electoral votes, that candidates "accept the rules and format of the debate," and that candidates receive at least 15% in four national polls of registered or likely voters.

Will any other candidates, like Robert Kennedy Jr. or Cornel West, participate in the debates?

The above requirements imposed by the TV networks make it hard for Kennedy or West, both of whom are running as independents, to make it onto the debate stage. But Kennedy has announced his intention to try.

First, the polling threshold will likely exclude West and other third-party contenders other than Kennedy. While Kennedy has exceeded 15% in two qualifying polls already, no other contender has.

Meanwhile, Kennedy has been working for months to collect petition signatures in states around the country. States differ in how many signatures are needed before a candidate can be placed on the presidential ballot.

Kennedy is already on the ballot in states totaling 85 electoral votes, and between his campaign and the pro-Kennedy super PAC, they say they have the signatures for an additional 11 states that have another 129 electoral votes. But announcing having the signatures and getting those signatures verified and earning ballot placement are different things, and each state has its own deadlines, rules and procedures for getting on the ballot.

In a statement posted to X on Wednesday, formerly known as Twitter, Kennedy was confident that he would meet the debate requirements by the deadline.

Meanwhile, West has gotten on the ballot in at least six states so far.

How will the CNN and ABC News debates differ?

Aside from differing moderators and differing questions, CNN has announced that it will not allow an audience to be present at their June debate. In a news release Wednesday, the news organization said that they were barring an audience "to ensure candidates may maximize the time allotted in the debate."

ABC News has not announced whether it will allow an audience at the September debate.

Will there be a vice presidential debate?

The Trump campaign hasn't yet announced his running mate or accepted an invitation to a vice presidential debate.

On Thursday, the Biden campaign said that Vice President Kamala Harris accepted an invitation from CBS for a vice presidential debate over the summer. The campaign and CBS agreed that the debate could be held on July 23 or Aug. 13. The July date would come just one week after the Republican convention, which could be where Trump names his running mate.

"We look forward to the Trump campaign accepting one of these dates so that the full debate calendar for this campaign can be set," a Biden campaign official told NBC News.

What about the Commission on Presidential Debates?

For decades, the nonpartisan Commission on Presidential Debates partnered with TV networks and news organizations to hold series of presidential debates in the weeks and months leading up to each Election Day.

Late last year, the group announced three dates — one in September and two in October — for presidential debates. But the CNN and ABC News debates announced on Wednesday are not in partnership with the Commission on Presidential Debates.

The Trump campaign has previously criticized the CPD's debate timeline , arguing that with early voting, "millions of Americans" will have cast their votes before some of the debate dates set by the commission.

In a letter to the CPD Wednesday, ahead of the announcement of the ABC News and CNN debates, Biden campaign chair Jen O’Malley Dillon also argued that the debates should happen earlier.

She proposed that there should be one debate in June, "after Donald Trump’s New York criminal trial is likely to be over and after President Biden returns from meeting with world leaders at the G7 Summit," and one in early September, "at the start of the fall campaign season, early enough to influence early voting, but not so late as to require the candidates to leave the campaign trail in the critical late September and October period."

On Wednesday, the commission stood by its original dates, saying in a statement, "We will continue to be ready to execute this plan.”

Alexandra Marquez is a politics reporter for NBC News.

The Naked Emperor’s Newsletter

Teacher Who Went Viral For Teaching Critical Thinking Gets Fired

Warren smith used socratic method to break down jk rowling debate.

Warren Smith went viral (after a retweet from Elon Musk) at the beginning of the year when he posted a discussion with a pupil about the Harry Potter author, JK Rowling.

The pupil asked Mr. Smith whether he still liked Rowling’s work despite her “bigoted opinions”.

For those who have not been following the JK Rowling saga, the author is very vocal about sex and gender issues. Rowling believes that trans activism is having a significant impact on feminism and is worried about the number of young women wishing to transition. As a result she has been abused online, cancelled and turned on by former friends and colleagues (including actors she made famous, such as Daniel Radcliffe and Emma Watson).

I admire Rowling for standing up for what she believes in and for championing free speech. She is fortunate to be rich enough to be able to do so but, even so, most people in her position would not and do not raise their heads above the parapet.

Mr. Smith’s viral video used the Socratic Method to guide his pupil to think critically about the author. It was a masterclass in asking and answering questions to try to establish the truth.

“We’re going to treat this as a thought experiment. I’m not going to say what is right or wrong or which way to think. The whole point is to learn how to think not what to think.”

A week ago, Mr. Smith was fired from the same school in which the viral video took place. He had been teaching there for four yours. Whilst we don’t know the exact reason he lost his job, in a recent update, he suggests it was because of the backlash to his videos.

He is clearly shaken up in his video describing what happened to him. The school seems to have given him little warning and confiscated his laptop containing books he is writing and cryptocurrency codes - a painful lesson showing the importance of data backups.

If Warren was fired purely based on his opinions and way of teaching, this is a disgrace. So long as he didn’t violate any terms of his contract or bring the school into disrepute, then going against the herd and thinking critically should be encouraged. In fact, it should be the norm.

From everything we know, it seems that this is another cancellation due to different opinions causing some hurty feelings. Critical thinking has lost to critical theory, where groupthink is unfortunately prospering.

Good luck to Mr. Smith but as he seems like an intelligent and eloquent man, I’m sure he’ll find another job relatively soon.

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