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Everything about Truth Values totally explained

In logic and mathematics, a logical value, also called a truth value, is a value indicating the extent to which 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 two-element Boolean algebra. Other kinds of algebras may be used as sets of truth values in non-classical logics: for instance, intuitionistic logic uses Heyting algebras.
   In topos theory, the subobject classifier of a topos takes the place of the set of truth values. Further Information

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