Negation is an unary operation that changes the truth value of a logical object. If the value is true, negation changes the value to false. If the value is false, negation changes the value to true.
The negative of a negative of a proposition, called a double negative, is equal to the original proposition: . This means that a double negative can be eliminated from a proposition without changing the truth value of the proposition.
There are a number of different ways to write negation. See table 2.
|¬A||'not A'||This notation is used in mathematics. Since it is not found on a standard computer keyboard, one of the other notations are usually substituted for non-professional publications.|
|~A||'not A'||This notation is used in mathematics.|
|NOT A||'not A'||This notation is used in mathematics. Either ¬A or ~A are preferred.|
|A||'bar A'||This notation is used in mathematics.|
|A'||'A prime' or 'A complement'||This notation is often used in set theory.|
|!A||'bang A'||This notation is used in most computer languages and some mathematics software.|
|.not. A||'not A'||This notation is used in the computer language fortran.|
|Table 2: Negation notation.|
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