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In classical logic, the only possible truth values are true and false. However, other values are possible in other logics. A simple intuitionistic logic has truth values of true, false, and unknown; fuzzy logic and other forms of multivalued logic also use more truth values than simply true and false.
Algebraically, the set {true,false} forms a simple Boolean algebra. Other Boolean algebras may be used as sets of truth values in multivalued logic, while intuitionistic logic generalises Boolean algebras to Heyting algebras[?].
In topos theory, the subobject classifier[?] of a topos takes the place of the set of truth values.
This nomenclature is perhaps more consonant with usages that prevail in mathematics than with those of philosophy.
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