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Concept information

set theory > von Neumann universe

Preferred term

von Neumann universe  

Definition(s)

  • In set theory and related branches of mathematics, the von Neumann universe, or von Neumann hierarchy of sets, denoted by V, is the class of hereditary well-founded sets. This collection, which is formalized by Zermelo–Fraenkel set theory (ZFC), is often used to provide an interpretation or motivation of the axioms of ZFC. The concept is named after John von Neumann, although it was first published by Ernst Zermelo in 1930.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Von_Neumann_universe)

Broader concept(s)

Synonym(s)

  • von Neumann hierarchy of sets

In other languages

URI

http://data.loterre.fr/ark:/67375/PSR-RCZ19XVF-5

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