Cantor's theorem in English

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  "etymology_text": "Named after German mathematician George Cantor (1845-1918) who stated and proved this theorem.",
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        "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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        "(set theory) 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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        "Cantor's theorem",
        "George Cantor"
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  "word": "Cantor's theorem"
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{
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        "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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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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"Cantor's theorem" meaning in English

Proper name