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Consequent : ウィキペディア英語版
Consequent

A consequent is the second half of a hypothetical proposition. In the standard form of such a proposition, it is the part that follows "then". In an implication, if \phi implies \psi then \phi is called the antecedent and \psi is called the consequent.〔Sets, Functions and Logic - An Introduction to Abstract Mathematics, Keith Devlin, Chapman & Hall/CRC Mathematics, 3rd ed., 2004〕
Examples:
* If P, then Q.
Q is the consequent of this hypothetical proposition.
* If X is a mammal, then X is an animal.
Here, "X is an animal" is the consequent.
* If computers can think, then they are alive.
"They are alive" is the consequent.
The consequent in a hypothetical proposition is not necessarily a consequence of the antecedent.
* If monkeys are purple, then fish speak Klingon.
"Fish speak Klingon" is the consequent here, but intuitively is not a consequence of (nor does it have anything to do with) the claim made in the antecedent that "monkeys are purple".
==See also==

* Antecedent (logic)
* Necessity and sufficiency

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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