fallcies of logic

Chapter 5: Logical Fallacies

1. Understanding Arguments and Fallacies

  • Arguments are prevalent in daily life: books, ads, TV, speeches, discussions.

  • Sound arguments are convincing; fallacious arguments contain mistakes in reasoning.

  • Definition: A logical fallacy, or simply a fallacy, is an argument with a mistake in reasoning.

  • Fallacies are classified into two groups:

    • Fallacies of Relevance: Premises irrelevant to the conclusion.

    • Fallacies of Insufficient Evidence: Premises relevant but lack enough evidence to support the conclusion.

2. Concept of Relevance

  • Relevance: A statement is relevant if it provides a reason to consider another statement true/false.

  • Types of relevance:

    • Positively Relevant: Counts in favor of the conclusion.

    • Negatively Relevant: Counts against the conclusion.

    • Logically Irrelevant: Does not support or undermine the conclusion.

3. Fallacies of Relevance

3.1 Personal Attack (Ad Hominem)
  • Definition: Rejecting an argument by attacking the person instead of the argument.

  • Example: Dismissing Hugh Hefner's arguments against censorship by attacking his character instead.

3.2 Attacking the Motive
  • Definition: Criticizing the motivation of a person arguing instead of evaluating the argument itself.

  • Example: Ignoring Professor Michaelson’s argument in favor of tenure based on his personal bias.

3.3 Look Who's Talking (Tu Quoque)
  • Definition: Criticizing someone’s argument based on their failure to be consistent in their actions.

  • Example: A parent advising against skipping school while having skipped school themselves.

3.4 Two Wrongs Make a Right
  • Definition: Justifying a wrongful action by citing another wrong action.

  • Example: Justifying cheating because others are also cheating.

3.5 Scare Tactics
  • Definition: Threatening harm to convince someone to accept an argument.

  • Example: Politician claiming dire consequences if gun control measures are adopted.

3.6 Appeal to Pity
  • Definition: Evoking pity to gain support without relevant evidence.

  • Example: A student asking for a grade change due to personal troubles.

3.7 Bandwagon Argument
  • Definition: Arguing that a proposition must be true because many people believe it.

  • Example: Claiming astrology must be true because many Americans follow it.

3.8 Straw Man
  • Definition: Misrepresenting an opponent's argument to make it easier to attack.

  • Example: Distorting a politician’s speech against violent pornography as a call for complete censorship.

3.9 Red Herring
  • Definition: Introducing an irrelevant issue to divert attention from the original argument.

  • Example: Defending Thomas Jefferson’s presidency while ignoring criticism of his slavery ownership.

3.10 Equivocation
  • Definition: Using a word with multiple meanings within the same argument.

  • Example: Claiming that it's illegal for anyone to sell 'tanks' when the context shifts meaning.

3.11 Begging the Question
  • Definition: Assuming as a premise what one is trying to prove as a conclusion.

  • Example: Stating bungee jumping is dangerous because it is unsafe.

4. Summary of Fallacies of Relevance

  • Overview of fallacies discussed in Chapter 5, providing concise examples of each fallacy discussed.


Chapter 6: Fallacies of Insufficient Evidence

1. Introduction to Insufficient Evidence

  • Fallacies of insufficient evidence occur when premises are relevant but inadequate to support the conclusion.

2. Common Fallacies of Insufficient Evidence

2.1 Inappropriate Appeal to Authority
  • Definition: Citing a witness or authority who is not reliable.

  • Example: Believing claims made by a barber about Einstein’s theories.

2.2 Appeal to Ignorance
  • Definition: Claiming something is true because it hasn't been proven false.

  • Example: Believing in Bigfoot because no one can disprove its existence.

2.3 False Alternatives
  • Definition: Presenting only two options when more exist.

  • Example: Claiming we must choose a conservative candidate or face anarchy.

2.4 Loaded Question
  • Definition: Asking a question with an unfair assumption built in.

  • Example: Asking if someone is still cheating implies they have cheated before.

2.5 Questionable Cause
  • Definition: Claiming one event causes another without sufficient evidence.

  • Example: Assuming that drinking lemon tea cured a cold simply because it happened after.

2.6 Hasty Generalization
  • Definition: Drawing broad conclusions from limited evidence.

  • Example: Concluding all immigrants are criminals based on a few examples.

2.7 Slippery Slope
  • Definition: Asserting that one small step will lead to extreme negative consequences.

  • Example: Claiming legalizing marijuana will lead to complete societal breakdown.

2.8 Weak Analogy
  • Definition: Comparing two things that are not truly comparable.

  • Example: Comparing the dangers of teachers of false religions to plague carriers.

2.9 Inconsistency
  • Definition: Making claims that contradict each other.

  • Example: Asserting both that all moral judgments are relative while claiming a moral absolute.

3. Summary of Fallacies of Insufficient Evidence

  • Brief recap of the nine common fallacies, providing examples illustrating each.