Not

Not

Not is a logical connective in logic, particularly in propositional logic, which is used to modify the truth value of a given proposition. It is also known as a logical operator or logical negation. The operator "Not" is used to create a new proposition that is true when the original proposition is false, and false when the original proposition is true.

Usage

In propositional logic, the operator "Not" is used to negate a proposition. For example, if P is a proposition, then "Not P" is a new proposition that is true when P is false, and false when P is true. This is often represented symbolically as ¬P.

Truth Table

The truth table for the "Not" operator is as follows:

P	Not P
True	False
False	True

This table shows that if P is true, then Not P is false, and if P is false, then Not P is true.

In Computer Science

In computer science, the "Not" operator is used in Boolean algebra to invert a Boolean value. It is also used in programming languages to reverse the truth value of a Boolean expression.

In Natural Language

In natural language, the word "not" is used as an adverb to negate the meaning of the verb it modifies. For example, in the sentence "I am not going", the word "not" negates the verb "am going".

See Also

• And (logic)
• Or (logic)
• If...then (logic)
• Boolean algebra
• Propositional logic