# Consequent vs. Antecedent

By Jaxson

• 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 P implies Q, then P is called the antecedent and Q is called the consequent. In some contexts, the consequent is called the apodosis.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”.

Wikipedia

Following as a result, inference, or natural effect.

“His retirement and consequent spare time enabled him to travel more.”

Of or pertaining to consequences.

• Consequent (noun)

The second half of a hypothetical proposition; Q, if the form of the proposition is “If P, then Q.”

• Consequent (noun)

An event which follows another.

• Consequent (noun)

The second term of a ratio, i.e. the term b in the ratio a:b, the other being the antecedent.

Earlier, either in time or in order.

“an event antecedent to the Biblical Flood”

“an antecedent cause”

Presumptive.

“an antecedent improbability”

• Antecedent (noun)

Any thing that precedes another thing, especially the cause of the second thing.

• Antecedent (noun)

An ancestor.

• Antecedent (noun)

A word, phrase or clause referred to by a pronoun.

• Antecedent (noun)

The conditional part of a hypothetical proposition, i.e. p rightarrow q, where p is the antecedent, and q is the consequent.

• Antecedent (noun)

The first of two subsets of a sequent, consisting of all the sequent’s formulae which are valuated as true.

“rfex|en”

• Antecedent (noun)

The first term of a ratio, i.e. the term a in the ratio a:b, the other being the consequent.

• Antecedent (noun)

Previous principles, conduct, history, etc.

Wiktionary

following as a result or effect

“you’ve got a university place consequent on your exam results”

“the social problems of pupils and their consequent educational difficulties”

logically consistent.

(of a stream or valley) having a direction or character determined by the original slope of the land before erosion.

• Consequent (noun)

the second part of a conditional proposition, whose truth is stated to be implied by that of the antecedent.

• Consequent (noun)

the second or imitating voice or part in a canon.

• Antecedent (noun)

a thing that existed before or logically precedes another

“some antecedents to the African novel might exist in Africa’s oral traditions”

• Antecedent (noun)

a person’s ancestors or family and social background

“her early life and antecedents have been traced”

• Antecedent (noun)

an earlier word, phrase, or clause to which another word (especially a following relative pronoun) refers back.

• Antecedent (noun)

the statement contained in the ‘if’ clause of a conditional proposition.