# Consequent

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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 *P* implies *Q*, then *P* is called the antecedent and *Q* is called the **consequent**.^{[1]} In some contexts, the consequent is called the * apodosis*.

^{[2]}

Examples:

- If , then .

is the consequent of this hypothetical proposition.

- If is a mammal, then is an animal.

Here, " 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[edit]

## References[edit]

**^**Sets, Functions and Logic - An Introduction to Abstract Mathematics, Keith Devlin, Chapman & Hall/CRC Mathematics, 3rd ed., 2004**^**See Conditional sentence.

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