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set of all sets

См. также в других словарях:

  • 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

  • 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 (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

  • Set-builder notation — In set theory and its applications to logic, mathematics, and computer science, set builder notation (sometimes simply set notation ) is a mathematical notation for describing a set by stating the properties that its members must satisfy. Forming …   Wikipedia

  • set — /set/, v., set, setting, n., adj., interj. v.t. 1. to put (something or someone) in a particular place: to set a vase on a table. 2. to place in a particular position or posture: Set the baby on his feet. 3. to place in some relation to something …   Universalium

  • 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 splitting — is a logical NP Complete problem which is defined as follows::: Instance : A finite set S and a collection C of finite subsets of S ;:: Query : Can the elements of S be colored with two colors, say red and green, so that no set X ∈ C has all… …   Wikipedia

  • set — set1 [ set ] (past tense and past participle set) verb *** ▸ 1 put someone/something somewhere ▸ 2 make something happen ▸ 3 make equipment ready ▸ 4 decide time/place/value ▸ 5 establish way to do something ▸ 6 do something that influences ▸ 7… …   Usage of the words and phrases in modern English

  • 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 — I UK [set] / US verb Word forms set : present tense I/you/we/they set he/she/it sets present participle setting past tense set past participle set *** 1) [transitive] to put someone or something in a position set someone/something… …   English dictionary

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