Mathematics Atlas

How Proof Is Made
Sign In
Text size
100%
Theme
Mathematical Object

Negation

Logic, Foundations and Set Theory

In logic, negation, also called logical not or logical complement, is an operation that takes a proposition P to another proposition, not P, commonly written as not-P. The negation of a proposition is true exactly when the original proposition is false, and false when the original is true, so that negating a statement such as the dog runs produces the dog does not run. Negation is one of the basic logical connectives from which more complex logical statements are built.

Facts
Classification
Object Kind
Operator 1
Connections

In Branch

Source Negation (Wikipedia)

Is Kind Of Object

Sources
1. Negation (Wikipedia)
  • Lead section
    In logic, negation, also called the logical not or logical complement, is an operation that takes a proposition P {\displaystyle P} to another proposition "not P {\displaystyle P} ", written ¬ P {\displaystyle \neg P}, ∼ P {\displaystyle {\mathord {\sim }}P}, P ′ {\displaystyle P^{\prime }} or P ¯ {\displaystyle {\overline {P}}}. It is interpreted intuitively as being true when P {\displaystyle P} is false, and false when P {\displaystyle P} is true.
  • In Branch: Logic and Foundations, Lead sentence
    In logic, negation, also called the logical not or logical complement, is an operation that takes a proposition P to another propo
View the Source
Comments (0)
No comments yet. Be the first to share a thought.
Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.