- universal set
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n.Math. the set of all objects or elements considered in a given problem
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Universalium. 2010.
universal set
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universal set — n. Math. the set of all objects or elements considered in a given problem … English World dictionary
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
universal set — noun (mathematics) the set that contains all the elements or objects involved in the problem under consideration all other sets are subsets of the universal set • Topics: ↑mathematics, ↑math, ↑maths • Hypernyms: ↑set * * * ˌuniˌve … Useful english dictionary
universal set — noun A set large enough to contain all sets under consideration in the current context. Syn: universal class, universe … Wiktionary
Set of all sets — In set theory as usually formulated, referring to the set of all sets typically leads to a paradox. The reason for this is the form of Zermelo s axiom of separation: for anyformula varphi(x) and set A, the set {x in A mid varphi(x)}which contains … Wikipedia
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Set notation — Sets are fundamental objects in mathematics. Intuitively, a set is merely a collection of elements or members . There are various conventions for textually denoting sets. In any particular situation, an author typically chooses from among these… … Wikipedia
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
