universal set

universal set
A set large enough to contain all sets under consideration in the current context.
Syn: universal class, universe

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  • universal set — n. Math. the set of all objects or elements considered in a given problem * * * …   Universalium

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  • Universal set — In set theory, a universal set is a set which contains all objects, including itself. [Forster 1995 p. 1.] The most widely studied set theory with a universal set is Willard Van Orman Quine’s New Foundations, but Alonzo Church and Arnold… …   Wikipedia

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  • Set-theoretic definition of natural numbers — Several ways have been proposed to define the natural numbers using set theory.The contemporary standardIn standard (ZF) set theory the natural numbersare defined recursively by 0 = {} (the empty set) and n +1 = n ∪ { n }. Then n = {0,1,..., n… …   Wikipedia

  • Set (mathematics) — This article gives an introduction to what mathematicians call intuitive or naive set theory; for a more detailed account see Naive set theory. For a rigorous modern axiomatic treatment of sets, see Set theory. The intersection of two sets is… …   Wikipedia

  • Set theory — This article is about the branch of mathematics. For musical set theory, see Set theory (music). A Venn diagram illustrating the intersection of two sets. Set theory is the branch of mathematics that studies sets, which are collections of objects …   Wikipedia

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