Predicate (mathematical logic)
From The Art and Popular Culture Encyclopedia
(Redirected from Predicate (logic))
|
Related e |
|
Featured: |
In mathematics, a predicate is commonly understood to be a Boolean-valued function P: X→ {true, false}, called the predicate on X. However, predicates have many different uses and interpretations in mathematics and logic, and their precise definition, meaning and use will vary from theory to theory. So, for example, when a theory defines the concept of a relation, then a predicate is simply the characteristic function or the indicator function of a relation. However, not all theories have relations, or are founded on set theory, and so one must be careful with the proper definition and semantic interpretation of a predicate.
[edit]
See also
- Free variables and bound variables
- Predicate functor logic
- Truthbearer
- Multigrade predicate
- Opaque predicate
- Classifying topos
Unless indicated otherwise, the text in this article is either based on Wikipedia article "Predicate (mathematical logic)" or another language Wikipedia page thereof used under the terms of the GNU Free Documentation License; or on research by Jahsonic and friends. See Art and Popular Culture's copyright notice.
