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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.

A truth table for also written appears below:

The negation of a proposition may be found notated in various ways in various contexts of application, often merely for typographical convenience.  Among these variants are the following:


A logical graph for is shown below:

Logical Graph (P).jpg

The traversal string of this graph is   The proposition may be taken as a Boolean function having the abstract type where is interpreted in such a way that means and means

A Venn diagram for indicates the region where is true by means of a distinctive color or shading.  In this case the region is a single cell, as shown below:

Venn Diagram ¬P 2.0.jpg


Document history

Portions of the above article were adapted from the following sources under the GNU Free Documentation License, under other applicable licenses, or by permission of the copyright holders.