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Logical Fallacies

Ad hominem, straw man, false dilemma, appeal to authority and the other common reasoning traps, spotted in advertising and political claims.

Math in Society, Logical Fallacies

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20 exercises

Exercise 1

Determine which type of fallacy each argument represents.

John Bardeen's work at the Advanced Institute for Physics has progressed so slowly that even his colleagues call him a plodder. Hence, it is prudent at present not to take seriously his current theory relating how strings constitute the smallest of subatomic particles.

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Exercise 2

Determine which type of fallacy each argument represents.

You will tell the general manager that I made the right choice in dealing with that customer. After all, I'm the shift manager, so my decisions are always right.

2.5

Exercise 3

Determine which type of fallacy each argument represents.

It was his fault, Officer. You can tell by the kind of car I'm driving and by my clothes that I am a good citizen and would not lie. Look at the rattletrap he is driving and look at how he is dressed. You can't believe anything a dirty, longhaired hippie like that might tell you. Search his car; he probably has pot in it.

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Exercise 4

Determine which type of fallacy each argument represents.

We can go to the amusement park or the library. The amusement park is too expensive, so we must go to the library.

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Exercise 5

Determine which type of fallacy each argument represents.

Nearly all heroin addicts used marijuana before trying heroin. Clearly marijuana use leads to heroin addiction.

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Exercise 6

Determine which type of fallacy each argument represents.

The oven was working fine until you started using it, so you must have broken it.

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Exercise 7

Determine which type of fallacy each argument represents.

Old man Brown claims that he saw a flying saucer in his farm, but he never got beyond the fourth grade in school and can hardly read or write. He is completely ignorant of what scientists have written on the subject, so his report cannot possibly be true.

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Exercise 8

Determine which type of fallacy each argument represents.

You should use Sparkle brand toothpaste since four out of five dentists recommend it.

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Exercise 9

Determine which type of fallacy each argument represents.

She didn't say that I couldn't borrow her car, so I figured it was fine if I borrowed it for the weekend.

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Exercise 10

Determine which type of fallacy each argument represents.

If you think that teens should be taught about contraceptive measures then you want to give kids license to have sex with no consequences.

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Exercise 11

Determine which type of fallacy each argument represents.

You're either part of the solution or part of the problem.

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Exercise 12

Determine which type of fallacy each argument represents.

No one can prove that God exists, therefore God does not exist.

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Exercise 13

Determine which type of fallacy each argument represents.

You're clearly just too young to understand.

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Exercise 14

Determine which type of fallacy each argument represents.

You should start off every morning with Champions brand cereal. It is what Michael Jordan eats, so you know that it must be very good for you.

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Exercise 15

Determine which type of fallacy each argument represents.

No one on the council objected to the idea that he proposed, so everyone must think it is a good idea.

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Exercise 16

Determine which type of fallacy each argument represents.

Why should we believe your testimony? You haven't had a steady job since 2003.

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Exercise 17

Determine which type of fallacy each argument represents.

A huge percentage of diagnosed cases of autism came very soon after vaccinations for the measles. These vaccinations must be causing autism.

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Exercise 18

Determine which type of fallacy each argument represents.

If you are against this war then you must hate America.

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Exercise 19

Determine which type of fallacy each argument represents.

Just look at her face. How could anyone vote for that?

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Exercise 20

There are a number of fallacies that were not discussed in this section. Do an internet search for the following fallacies. Provide both a definition and at least one example.

  1. Slippery Slope

  2. Circular Reasoning

  3. Appeal to Emotion

  4. Red Herring

  5. Whataboutism

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Adapted from Math in Society © 2018–2024 Portland Community College Math Instructors. Licensed under CC BY-SA 4.0. Source: Math in Society. Imported at revision 68ee43c.