**Finitary** — 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… … Wikipedia

**Finitary 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,… … Wikipedia

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

**finitary** — fi·ni·tary … English syllables

**finitary methods** — See finitism … Philosophy dictionary

**Closure 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… … Wikipedia

**Boolean 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… … Wikipedia

**Hilbert'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… … Wikipedia

**Infinitary 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… … Wikipedia

**Matroid** — In combinatorics, a branch of mathematics, a matroid ( /ˈmeɪ … Wikipedia