What does predicate (mathematical logic) mean?

Definitions for predicate (mathematical logic)
pred·i·cate (math·e·mat·i·cal logic)

This dictionary definitions page includes all the possible meanings, example usage and translations of the word predicate (mathematical logic).

Wikipedia

  1. Predicate (mathematical logic)

    In logic, a predicate is a symbol that represents a property or a relation. For instance, in the first-order formula P ( a ) {\displaystyle P(a)} , the symbol P {\displaystyle P} is a predicate that applies to the individual constant a {\displaystyle a} . Similarly, in the formula R ( a , b ) {\displaystyle R(a,b)} , the symbol R {\displaystyle R} is a predicate that applies to the individual constants a {\displaystyle a} and b {\displaystyle b} . In the semantics of logic, predicates are interpreted as relations. For instance, in a standard semantics for first-order logic, the formula R ( a , b ) {\displaystyle R(a,b)} would be true on an interpretation if the entities denoted by a {\displaystyle a} and b {\displaystyle b} stand in the relation denoted by R {\displaystyle R} . Since predicates are non-logical symbols, they can denote different relations depending on the interpretation given to them. While first-order logic only includes predicates that apply to individual constants, other logics may allow predicates that apply to other predicates.

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Numerology

  1. Chaldean Numerology

    The numerical value of predicate (mathematical logic) in Chaldean Numerology is: 5

  2. Pythagorean Numerology

    The numerical value of predicate (mathematical logic) in Pythagorean Numerology is: 8

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"predicate (mathematical logic)." Definitions.net. STANDS4 LLC, 2024. Web. 29 Apr. 2024. <https://www.definitions.net/definition/predicate+%28mathematical+logic%29>.

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