Logical value
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In logic and mathematics, a logical value, also called a truth value, is a value indicating to what extent a proposition is true.
In classical logic, the only possible truth values are true and false. However, other values are possible in other logics: fuzzy logic and other forms of multi-valued logic use more truth values than simply true and false.
Algebraically, the set forms a simple Boolean algebra. Other Boolean algebras may be used as sets of truth values in multi-valued 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.
See also
External links
- [Weblog entry "How many is two?"] by Andrej Bauer discussing the relationship between truth values in intuitionistic logic and topos theory on the one hand and classical logic on the other.
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