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Concept

Negation of a Statement

The negation of a statement is a statement that has the opposite meaning as the original statement. The negation of the statement

p

can be written as not

p

or using the symbol

\neg .

Words : Symbols : not p \neg p

Consider an example statement and its negation.

Statement : Negation : A square is a rectangle . A square is \underline{not} a rectangle .

A negation always has the opposite truth value than the original statement. This can be expressed using a truth table.

Negation
$p$	$\neg p$
T	F
F	T

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