Word.ws English Dictionary

Cantor's theorem

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.

Proper noun

Cantor's theorem

  1. 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.

Origin of Cantor's theorem

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

Questions about Cantor's theorem

What does Cantor's theorem mean?
Cantor's theorem means 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.
What part of speech is Cantor's theorem?
Cantor's theorem is a proper noun.

Words near Cantor's theorem in the dictionary

  1. cantor
  2. Cantor dust
  3. Cantor set
  4. Cantor sets
  5. Cantor's diagonal argument
  6. Cantor's theorem
  7. Cantor-Bendixson theorem
  8. cantoral
  9. cantoral staff
  10. cantoral staffs
  11. cantoral staves

Source and license

Adapted from Wiktionary: Cantor's theorem (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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