Basic concepts in infinite set theory | Philosophy of mathematics

Limitation of size

In the philosophy of mathematics, specifically the philosophical foundations of set theory, limitation of size is a concept developed by Philip Jourdain and/or Georg Cantor to avoid Cantor's paradox. It identifies certain "inconsistent multiplicities", in Cantor's terminology, that cannot be sets because they are "too large". In modern terminology these are called proper classes. (Wikipedia).

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Related pages

Axiom of limitation of size | Cantor's paradox | Set theory | Class (set theory) | Set (mathematics) | Morse–Kelley set theory | Philosophy of mathematics | Von Neumann–Bernays–Gödel set theory