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What is a Consequent?

Modified on: 2013-03-19 19:22:43 +0530


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.[1]


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".


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