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Truth value
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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
See also
- Boolean domain
- Degrees of truth
- False dilemma
- Fuzzy logic
- Logical connective
- Multivalued logic
- Relativism
- 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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Last updated on Tuesday June 03, 2008 at 23:08:54 PDT (GMT -0700)
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This article is licensed under the GNU Free Documentation License.
Last updated on Tuesday June 03, 2008 at 23:08:54 PDT (GMT -0700)
View this article at Wikipedia.org - Edit this article at Wikipedia.org - Donate to the Wikimedia Foundation
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