In logic, false 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. Usual notations of the false are 0 (especially in Boolean logic and computer science), O (in prefix notation, Opq), and the up tack symbol ⊥ {\displaystyle \bot } .
Another approach is used for several formal theories (e.g., intuitionistic propositional calculus), where a propositional constant (i.e. a nullary connective), ⊥ {\displaystyle \bot } , is introduced, the truth value of which being always false in the sense above. It can be treated as an absurd proposition, and is often called absurdity.
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