Axiom of limitation of size

id: axiom-of-limitation-of-size-303-18646074
title: Axiom of limitation of size
text: In set theory, the axiom of limitation of size was proposed by John von Neumann in his 1925 axiom system for sets and classes. It formalizes the limitation of size principle, which avoids the paradoxes encountered in earlier formulations of set theory by recognizing that some classes are too big to be sets. Von Neumann realized that the paradoxes are caused by permitting these big classes to be members of a class. A class that is a member of a class is a set; a class that is not a set is a prope
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Axiom_of_limitation_of_size
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date modified: 2024-03-06T07:45:34Z
main entity: {"identifier":"Q836475","url":"https://www.wikidata.org/entity/Q836475"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/5/5e/JohnvonNeumann-LosAlamos.gif","width":490,"height":639}
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