# Cantor's theorem

> English word · Proper noun

## Definitions
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.

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

## Source
Compiled from Wiktionary via kaikki.org (CC BY-SA). Data vintage: 2026-05-06.
Canonical page: https://plainspell.com/en/word/cantor-s-theorem