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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”.
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Consequent (adjective)
Following as a result, inference, or natural effect.
“His retirement and consequent spare time enabled him to travel more.”
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Consequent (adjective)
Of or pertaining to consequences.
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Consequent (noun)
The second half of a hypothetical proposition; Q, if the form of the proposition is “If P, then Q.”
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Consequent (noun)
An event which follows another.
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Consequent (noun)
The second term of a ratio, i.e. the term b in the ratio a:b, the other being the antecedent.
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Antecedent (adjective)
Earlier, either in time or in order.
“an event antecedent to the Biblical Flood”
“an antecedent cause”
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Antecedent (adjective)
Presumptive.
“an antecedent improbability”
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Antecedent (noun)
Any thing that precedes another thing, especially the cause of the second thing.
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Antecedent (noun)
An ancestor.
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Antecedent (noun)
A word, phrase or clause referred to by a pronoun.
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Antecedent (noun)
The conditional part of a hypothetical proposition, i.e. p rightarrow q, where p is the antecedent, and q is the consequent.
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Antecedent (noun)
The first of two subsets of a sequent, consisting of all the sequent’s formulae which are valuated as true.
“rfex|en”
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Antecedent (noun)
The first term of a ratio, i.e. the term a in the ratio a:b, the other being the consequent.
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Antecedent (noun)
Previous principles, conduct, history, etc.
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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”
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Consequent (adjective)
logically consistent.
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Consequent (adjective)
(of a stream or valley) having a direction or character determined by the original slope of the land before erosion.
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Consequent (noun)
the second part of a conditional proposition, whose truth is stated to be implied by that of the antecedent.
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Consequent (noun)
the second or imitating voice or part in a canon.
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Antecedent (noun)
a thing that existed before or logically precedes another
“some antecedents to the African novel might exist in Africa’s oral traditions”
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Antecedent (noun)
a person’s ancestors or family and social background
“her early life and antecedents have been traced”
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Antecedent (noun)
an earlier word, phrase, or clause to which another word (especially a following relative pronoun) refers back.
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Antecedent (noun)
the statement contained in the ‘if’ clause of a conditional proposition.
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Antecedent (adjective)
preceding in time or order; previous or pre-existing
“antecedent events”
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Antecedent (adjective)
denoting or counting as an antecedent.