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There is a page named "Von Neumann universe" on Wikipedia

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  • needed] The phrase "the cumulative hierarchy" usually refers to the von Neumann universe, which has W α + 1 = P ( W α ) {\displaystyle W_{\alpha +1}={\mathcal...
    2 KB (311 words) - 04:00, 28 November 2024
  • interpreted as a statement about the collection of all sets in the von Neumann universe (also known as the cumulative hierarchy). The metamathematics of...
    46 KB (6,250 words) - 18:44, 20 November 2024
  • Thumbnail for John von Neumann
    John von Neumann (/vɒn ˈnɔɪmən/ von NOY-mən; Hungarian: Neumann János Lajos [ˈnɒjmɒn ˈjaːnoʃ ˈlɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian...
    208 KB (23,647 words) - 10:26, 4 December 2024
  • Klára Dán von Neumann (née Dán; 18 August 1911 – 10 November 1963) was a Hungarian-American mathematician, self-taught engineer and computer scientist...
    16 KB (1,539 words) - 09:53, 29 November 2024
  • }} , which denotes the ω {\displaystyle \omega } th stage of the von Neumann universe. So here it is a countable set. In 1937, Wilhelm Ackermann introduced...
    10 KB (1,447 words) - 20:26, 24 September 2024
  • that is, in a sense, maximal and approximates the structure of the von Neumann universe V. A covering lemma asserts that under some particular anti-large...
    5 KB (716 words) - 00:51, 16 September 2020
  • that Grothendieck universes exist. Constructible universe Universe (mathematics) Von Neumann universe Streicher, Thomas (2006). "Universes in Toposes" (PDF)...
    9 KB (1,342 words) - 16:35, 26 November 2024
  • Thumbnail for Definable real number
    problematic if it is applied to class models of ZFC, such as the von Neumann universe. The assertion "the real number x {\displaystyle x} is definable...
    11 KB (1,502 words) - 02:55, 9 April 2024
  • nor its negation and is compatible with either. Indeed, using the von Neumann universe, we can build a model of ZFC − Infinity + (¬Infinity). It is V ω...
    11 KB (1,801 words) - 23:23, 21 November 2024
  • In the foundations of mathematics, von Neumann–Bernays–Gödel set theory (NBG) is an axiomatic set theory that is a conservative extension of Zermelo–Fraenkel–choice...
    97 KB (15,661 words) - 23:21, 21 November 2024
  • (ZFC) implies that the κ {\displaystyle \kappa } th level of the Von Neumann universe V κ {\displaystyle V_{\kappa }} is a model of ZFC whenever κ {\displaystyle...
    16 KB (2,247 words) - 17:05, 10 November 2024
  • resembling the construction of von Neumann universe, V {\displaystyle V} . The stages are indexed by ordinals. In von Neumann's universe, at a successor stage...
    32 KB (6,094 words) - 22:53, 24 November 2024
  • elementary embedding j : V → M {\displaystyle j:V\to M} from the Von Neumann universe V {\displaystyle V} into a transitive inner model M {\displaystyle...
    11 KB (1,849 words) - 10:05, 4 March 2024
  • Thumbnail for Von Neumann cellular automaton
    Von Neumann cellular automata are the original expression of cellular automata, the development of which was prompted by suggestions made to John von...
    13 KB (1,613 words) - 21:56, 20 May 2023
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