- Zermelo's axiom
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/tser"meuh lohz'/, Math.See axiom of choice.[after Ernst E.F. Zermelo (1871-1953), German mathematician]
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Universalium. 2010.
Zermelo's axiom
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Zermelo's axiom — /tser meuh lohz /, Math. See axiom of choice. [after Ernst E.F. Zermelo (1871 1953), German mathematician] … Useful english dictionary
Axiom of choice — This article is about the mathematical concept. For the band named after it, see Axiom of Choice (band). In mathematics, the axiom of choice, or AC, is an axiom of set theory stating that for every family of nonempty sets there exists a family of … Wikipedia
axiom of choice — Math. the axiom of set theory that given any collection of disjoint sets, a set can be so constructed that it contains one element from each of the given sets. Also called Zermelo s axiom; esp. Brit., multiplicative axiom. * * * ▪ set theory… … Universalium
Axiom of power set — In mathematics, the axiom of power set is one of the Zermelo Fraenkel axioms of axiomatic set theory.In the formal language of the Zermelo Fraenkel axioms, the axiom reads::forall A , exists P , forall B , [B in P iff forall C , (C in B… … Wikipedia
axiom of choice — Math. the axiom of set theory that given any collection of disjoint sets, a set can be so constructed that it contains one element from each of the given sets. Also called Zermelo s axiom; esp. Brit., multiplicative axiom. * * * axiom of choice,… … Useful english dictionary
Zermelo set theory — Zermelo set theory, as set out in an important paper in 1908 by Ernst Zermelo, is the ancestor of modern set theory. It bears certain differences from its descendants, which are not always understood, and are frequently misquoted. This article… … Wikipedia
Zermelo–Fraenkel set theory — Zermelo–Fraenkel set theory, with the axiom of choice, commonly abbreviated ZFC, is the standard form of axiomatic set theory and as such is the most common foundation of mathematics.ZFC consists of a single primitive ontological notion, that of… … Wikipedia
Zermelo-Mengenlehre — Die Zermelo Mengenlehre ist die erste axiomatische Mengenlehre; sie stammt von Ernst Zermelo und ist datiert auf den 30. Juli 1907. Sie wurde am 13. Februar 1908 in Band 65 (2. Heft) der Mathematischen Annalen unter dem Titel Untersuchungen über… … Deutsch Wikipedia
Zermelo-Fraenkel-Mengenlehre — Die Zermelo Fraenkel Mengenlehre ist eine verbreitete axiomatische Mengenlehre, die nach Ernst Zermelo und Abraham Adolf Fraenkel benannt ist. Sie ist heute Grundlage fast aller Zweige der Mathematik. Die Zermelo Fraenkel Mengenlehre ohne… … Deutsch Wikipedia
Axiom schema of replacement — In set theory, the axiom schema of replacement is a schema of axioms in Zermelo Fraenkel set theory (ZFC) that asserts that the image of any set under any definable mapping is also a set. It is necessary for the construction of certain infinite… … Wikipedia
