Negation: Its Importance And Use In Mathematics And Logic.

Negation

the opposite of the original statement

Negation is a logical operation that involves the denial or opposite of a proposition or statement. In everyday language, negation is used to express negation of a fact, opinion, or belief. In formal logic, negation is often symbolized by a tilde (~) or the word not.

For example, if the statement Anna is a student is true, then the negation of this statement Anna is not a student is false. Negation is used in logic to create logical relations between statements. It is used to negate or deny the truth of a statement, and it can be applied to both singular statements and to compound statements.

Negation is also related to the concept of contradiction. If a statement is true, then its negation is false, and vice versa. In other words, a statement and its negation cannot both be true at the same time. This is a fundamental principle of logic, and it is used to reason and draw inferences in many different fields, including mathematics, philosophy, and computer science.

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