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Zermelo set theory
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{{Short description|System of mathematical set theory}} {{more footnotes|date=April 2018}} '''Zermelo set theory''' (sometimes denoted by '''Z'''<sup>'''-'''</sup>), as set out in a seminal paper in 1908 by [[Ernst Zermelo]], is the ancestor of modern [[Zermelo–Fraenkel set theory]] (ZF) and its extensions, such as [[von Neumann–Bernays–Gödel set theory]] (NBG). It bears certain differences from its descendants, which are not always understood, and are frequently misquoted. This article sets out the original [[axiom]]s, with the original text (translated into English) and original numbering.
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