Proposition Based

  • Fallacy Fallacy
    • is a fallacious argument implying , therefore Y is false.
    • Refutation: The fact that an argument is fallacious has nothing to do with the truth of its conclusion.
  • Masked Man Fallacy:
    • The speaker believes that is The speaker believes that is not Therefore, is .
    • Refutation: Substitution does not apply when we are talking about belief. The belief itself could be wrong, and it does not rule out the possibility of the negation being true.
  • Affirming the Disjunct
    • or is true is true Therefore, is not true
    • Refutation: The definition of the disjunct simply states at least one of its statements is true. This is insufficient to prove that is false.
  • Affirming The Consequent
    • implies is true Therefore
    • Refutation: Just because is a possible condition for doesn’t mean it is the only such condition.
  • Denying the Antecedent
    • implies is not true is not true.
    • Refutation: The implication holds only when is true. Otherwise, if is false, may or may not be true.
  • Illicit Affirmative
    • is not is not Therefore is .
    • Refutation: The argument fails to rule out the possibility that is mutually exclusive from .
  • Illicit Negative
    • is B is Therefore is not
    • Refutation: The conclusion does not follow with the premises. After all, it is established that and .

Probability Based

  • Appeal To Probability
    • MIGHT Happen Therefore WILL Happen
    • Refutation: This discounts the non-zero chance that X might not happen.
  • Base Rate Fallacy
    • is very likely given ; is not likely; therefore is very likely.
    • Refutation: This does not take into account that is not likely to happen, so by extension and are not likely to happen together either.
  • Conjunction Fallacy
    • Refutation: The conjoint necessitates that at least happen, therefore it cannot be more likely than