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(Redirected from Truth value)
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 {true, false} 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.
★ The 'truth value' of a proposition is shown using '0s' and '1s'.
:True = 1
:False = 0
★ Logical connective
★ Slingshot argument
★ Negation
★ Article on logical constants at the Stanford Encyclopedia of Philosophy
★ 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.
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 {true, false} 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.
★ The 'truth value' of a proposition is shown using '0s' and '1s'.
:True = 1
:False = 0
| Contents |
| See also |
| External links |
See also
★ Logical connective
★ Slingshot argument
★ Negation
External links
★ Article on logical constants at the Stanford Encyclopedia of Philosophy
★ 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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