False (logic)
Possessing negative truth value / From Wikipedia, the free encyclopedia
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In logic, false[1] or untrue is the state of possessing negative truth value and is a nullary logical connective. In a truth-functional system of propositional logic, it is one of two postulated truth values, along with its negation, truth.[2] Usual notations of the false are 0 (especially in Boolean logic and computer science), O (in prefix notation, Opq), and the up tack symbol .[3][4]
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Another approach is used for several formal theories (e.g., intuitionistic propositional calculus), where a propositional constant (i.e. a nullary connective), , is introduced, the truth value of which being always false in the sense above.[5][6][7] It can be treated as an absurd proposition, and is often called absurdity.