Cantor's theorem

proper noun

A theorem in set theory which states for any set A, the set of all subsets of A (the power set of A, denoted by 𝒫(A)) has a strictly greater cardinality than A itself.

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Meanings

proper noun
  1. mathematicsA theorem in set theory which states for any set A, the set of all subsets of A (the power set of A, denoted by 𝒫(A)) has a strictly greater cardinality than A itself.

Origin

Named after German mathematician George Cantor (1845-1918) who stated and proved this theorem.

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Cite this entry
APA

Cantor's theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Cantor's%20theorem

MLA

β€œCantor's theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Cantor's%20theorem. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. β€œCantor's theorem,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Cantor's%20theorem.

Source: Cantor's theorem on Wiktionary, CC BY-SA 4.0.