See Cantor's theorem on Wiktionary
{ "etymology_text": "Named after German mathematician George Cantor (1845-1918) who stated and proved this theorem.", "head_templates": [ { "args": {}, "expansion": "Cantor's theorem", "name": "en-proper noun" } ], "lang": "English", "lang_code": "en", "pos": "name", "senses": [ { "categories": [ { "kind": "other", "name": "English entries with incorrect language header", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "other", "langcode": "en", "name": "Infinity", "orig": "en:Infinity", "parents": [], "source": "w" }, { "kind": "other", "langcode": "en", "name": "Set theory", "orig": "en:Set theory", "parents": [], "source": "w" } ], "glosses": [ "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." ], "id": "en-Cantor's_theorem-en-name-asnep4bQ", "links": [ [ "set theory", "set theory" ], [ "theorem", "theorem" ], [ "set", "set" ], [ "subset", "subset" ], [ "power set", "power set" ], [ "cardinality", "cardinality" ] ], "raw_glosses": [ "(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." ], "topics": [ "mathematics", "sciences", "set-theory" ], "wikipedia": [ "Cantor's theorem", "George Cantor" ] } ], "word": "Cantor's theorem" }
{ "etymology_text": "Named after German mathematician George Cantor (1845-1918) who stated and proved this theorem.", "head_templates": [ { "args": {}, "expansion": "Cantor's theorem", "name": "en-proper noun" } ], "lang": "English", "lang_code": "en", "pos": "name", "senses": [ { "categories": [ "English entries with incorrect language header", "English lemmas", "English multiword terms", "English proper nouns", "English uncountable nouns", "Pages with 1 entry", "Pages with entries", "en:Infinity", "en:Set theory" ], "glosses": [ "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." ], "links": [ [ "set theory", "set theory" ], [ "theorem", "theorem" ], [ "set", "set" ], [ "subset", "subset" ], [ "power set", "power set" ], [ "cardinality", "cardinality" ] ], "raw_glosses": [ "(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." ], "topics": [ "mathematics", "sciences", "set-theory" ], "wikipedia": [ "Cantor's theorem", "George Cantor" ] } ], "word": "Cantor's theorem" }
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