Correlative-based fallacies

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In logic, correlative-based fallacies, also known as fallacies of distraction, are logical fallacies based on correlative conjunctions.

A correlative conjunction is a relationship between two statements where one must be false and the other true. In formal logic this is known as the exclusive or relationship. Examples of correlatives are:

A: Object one is larger than object two.
B: Object one is smaller or the same size as object two.
A: Fido is a dog.
B: Fido is not a dog.

Fallacies based on correlatives include:

  • The false dilemma or false correlative. Here something which is not a correlative is treated as a correlative, excluding some other possibility.
  • The fallacy of denying the correlative, where an attempt is made to introduce another option into a true correlative.
  • The fallacy of suppressed correlative, where the definitions of a correlative are changed so that one of the options includes the other, making one option impossible.
  • The false choice, in which options are presented as mutually exclusive, when that is not the case.
Informal fallacies
v  d  e
Special pleading | Red herring | Gambler's fallacy and its inverse
Fallacy of distribution (Composition | Division) | Begging the question | Many questions
Correlative-based fallacies:
False dilemma (Perfect solution) | Denying the correlative | Suppressed correlative
Deductive fallacies:
Accident | Converse accident
Inductive fallacies:
Hasty generalization | Overwhelming exception | Biased sample
False analogy | Misleading vividness | Conjunction fallacy
Vagueness:
False precision | Slippery slope
Ambiguity:
Amphibology | Continuum fallacy | False attribution (Contextomy | Quoting out of context)
Equivocation (Loki's Wager | No true Scotsman)
Questionable cause:
Correlation does not imply causation | Post hoc | Regression fallacy
Texas sharpshooter | Circular cause and consequence | Wrong direction | Single cause
Other types of fallacy
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