Logical negation
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Logical negation is an operation on one logical value, typically the value of a proposition, that produces a value of true when its operand is false and a value of false when its operand is true.
The truth table of NOT p (also written as ~p or ¬p) is as follows:
p | ¬p |
---|---|
F | T |
T | F |
The logical negation of a proposition p is notated in different ways in various contexts of discussion and fields of application. Among these variants are the following:
Notation | Vocalization |
---|---|
\(\bar{p}\) | bar p |
\(p'\!\) | p prime, p complement |
\(!p\!\) | bang p |