Cantor theorem

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Cantor theorem

[′kän·tȯr ′thir·əm]
(mathematics)
A theorem that there is no one-to-one correspondence between a set and the collection of its subsets.
References in periodicals archive ?
This article argues against untyped pluralism by showing that it is subject to a variant of a Russell-style argument put forth by Timothy Williamson and that it clashes with a plural version of Cantor's theorem.
Cantor established the importance of one-to-one correspondence between sets, and defined infinite and well ordered sets; in fact Cantor's theorem implies the existence of an 'infinity of infinities'.
Peirce claimed prioricity on the diagonal proof of Cantor's Theorem.