finitary

  • 1Finitary — In mathematics or logic, a finitary operation is one, like those of arithmetic, that takes a finite number of input values to produce an output. An operation such as taking an integral of a function, in calculus, is defined in such a way as to… …

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  • 2Finitary relation — This article sets out the set theoretic notion of relation. For a more elementary point of view, see Binary relation. For a combinatorial viewpoint, see Theory of relations. For other uses, see Relation (disambiguation). In set theory and logic,… …

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  • 3finitary — adjective Of a function, taking a finite number of arguments to produce an output …

    Wiktionary

  • 4finitary — fi·ni·tary …

    English syllables

  • 5finitary — ˈfīnəˌterē, ˈfin adjective Etymology: finite + ary : having a finite character; specifically : capable of being completed in a finite number of steps used of a proof or other logical procedure …

    Useful english dictionary

  • 6finitary methods — See finitism …

    Philosophy dictionary

  • 7Closure operator — In mathematics, a closure operator on a set S is a function cl: P(S) → P(S) from the power set of S to itself which satisfies the following conditions for all sets X,Y ⊆ S. X ⊆ cl(X) (cl is extensive) X ⊆ Y implies cl(X) ⊆ cl(Y)   (cl… …

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  • 8Boolean algebras canonically defined — Boolean algebras have been formally defined variously as a kind of lattice and as a kind of ring. This article presents them more neutrally but equally formally as simply the models of the equational theory of two values, and observes the… …

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  • 9Hilbert's program — Hilbert s program, formulated by German mathematician David Hilbert in the 1920s, was to formalize all existing theories to a finite, complete set of axioms, and provide a proof that these axioms were consistent.Hilbert proposed that the… …

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  • 10Infinitary logic — Those unfamiliar with mathematical logic or the concept of ordinals are advised to consult those articles first. An infinitary logic is a logic that allows infinitely long statements and/or infinitely long proofs. Some infinitary logics may have… …

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