negationnɪˈgeɪ ʃən
negation (n)
- plural
- negations
English Definitions:
negation (noun)
a negative statement; a statement that is a refusal or denial of some other statement
negation (noun)
the speech act of negating
negation (noun)
(logic) a proposition that is true if and only if another proposition is false
negation (Noun)
The act of negating something.
negation (Noun)
A denial or contradiction.
negation (Noun)
A proposition which is the contradictory of another proposition and which can be obtained from that other proposition by the appropriately placed addition/insertion of the word "not". (Or, in symbolic logic, by prepending that proposition with the symbol for the logical operator "not".)
negation (Noun)
The logical operation which obtains such (negated) propositions.
Negation
In logic, negation, also called logical complement, is an operation that essentially takes a proposition p to another proposition "not p", written ¬p, which is interpreted intuitively as being true when p is false and false when p is true. Negation is thus a unary logical connective. It may be applied as an operation on propositions, truth values, or semantic values more generally. In classical logic, negation is normally identified with the truth function that takes truth to falsity and vice versa. In intuitionistic logic, according to the Brouwer–Heyting–Kolmogorov interpretation, the negation of a proposition p is the proposition whose proofs are the refutations of p.
Negation
In logic, negation, also called the logical complement, is an operation that takes a proposition P {\displaystyle P} to another proposition "not P {\displaystyle P} ", written ¬ P {\displaystyle \neg P} , ∼ P {\displaystyle {\mathord {\sim }}P} or P ¯ {\displaystyle {\overline {P}}} . It is interpreted intuitively as being true when P {\displaystyle P} is false, and false when P {\displaystyle P} is true. Negation is thus a unary logical connective. It may be applied as an operation on notions, propositions, truth values, or semantic values more generally. In classical logic, negation is normally identified with the truth function that takes truth to falsity (and vice versa). In intuitionistic logic, according to the Brouwer–Heyting–Kolmogorov interpretation, the negation of a proposition P {\displaystyle P} is the proposition whose proofs are the refutations of P {\displaystyle P} .
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