Antecedent (logic)  

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Train wreck at Montparnasse (October 22, 1895) by Studio Lévy and Sons.
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Train wreck at Montparnasse (October 22, 1895) by Studio Lévy and Sons.

An antecedent is the first half of a hypothetical proposition.

Examples:

  • If P, then Q.

This is a nonlogical formulation of a hypothetical proposition. In this case, the antecedent is P, and the consequent is Q. In an implication, if <math>\phi</math> implies <math>\psi</math> then <math>\phi</math> is called the antecedent and <math>\psi</math> is called the consequent.

  • If X is a man, then X is mortal.

"X is a man" is the antecedent for this proposition.

  • If men have walked on the moon, then I am the king of France.

Here, "men have walked on the moon" is the antecedent.

See also




Unless indicated otherwise, the text in this article is either based on Wikipedia article "Antecedent (logic)" or another language Wikipedia page thereof used under the terms of the GNU Free Documentation License; or on original research by Jahsonic and friends. See Art and Popular Culture's copyright notice.

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