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”.
Consequent (adjective)
Following as a result, inference, or natural effect.
“His retirement and consequent spare time enabled him to travel more.”
Consequent (adjective)
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.
Antecedent (adjective)
Earlier, either in time or in order.
“an event antecedent to the Biblical Flood”
“an antecedent cause”
Antecedent (adjective)
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.
Consequent (adjective)
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”
Consequent (adjective)
logically consistent.
Consequent (adjective)
(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.
Antecedent (adjective)
preceding in time or order; previous or pre-existing
“antecedent events”
Antecedent (adjective)
denoting or counting as an antecedent.