Look up consequent in Wiktionary, the free dictionary.
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.
consequent, other, uses, consequence, look, consequent, wiktionary, free, dictionary, consequent, second, half, hypothetical, proposition, standard, form, such, proposition, part, that, follows, then, implication, implies, then, called, antecedent, called, con. For other uses see Consequence Look up consequent in Wiktionary the free dictionary 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 P displaystyle P then Q displaystyle Q Q displaystyle Q is the consequent of this hypothetical proposition If X displaystyle X is a mammal then X displaystyle X is an animal Here X displaystyle 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 EditAntecedent logic Conjecture Necessity and sufficiencyReferences Edit Sets Functions and Logic An Introduction to Abstract Mathematics Keith Devlin Chapman amp Hall CRC Mathematics 3rd ed 2004 See Conditional sentence This logic related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Consequent amp oldid 1055384031, wikipedia, wiki, book, books, library,
