set theory

set theory
The mathematical theory of sets.

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  • Set theory — set theory …   Philosophy dictionary

  • set theory — n. the branch of mathematics that deals with the properties and relations of sets: see SET (n. 7) …   English World dictionary

  • set theory — ► NOUN ▪ the branch of mathematics concerned with the formal properties and applications of sets …   English terms dictionary

  • 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

  • set theory — the branch of mathematics that deals with relations between sets. [1940 45] * * * Branch of mathematics that deals with the properties of sets. It is most valuable as applied to other areas of mathematics, which borrow from and adapt its… …   Universalium

  • set theory — The modern theory of sets was largely inspired by Cantor, whose proof that the set of real numbers could not be put into a one to one correspondence with the set of natural numbers opened the door to the set theoretic hierarchy, and to the study… …   Philosophy dictionary

  • Set theory of the real line — is an area of mathematics concerned with the application of set theory to aspects of the real numbers. For example, one knows that all countable sets of reals are null, i.e. have Lebesgue measure 0; one might therefore ask the least possible size …   Wikipedia

  • set theory — set′ the ory n. math. the branch of mathematics that deals with relations between sets • Etymology: 1940–45 …   From formal English to slang

  • Set theory (music) — Example of Z relation on two pitch sets analyzable as or derivable from Z17 (Schuijer 2008, p.99), with intervals between pitch classes labeled for ease of comparison between the two sets and their common interval vector, 212320. Musical set… …   Wikipedia

  • set theory — noun Date: 1936 a branch of mathematics or of symbolic logic that deals with the nature and relations of sets • set theoretic adjective …   New Collegiate Dictionary

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