See Penrose-Lucas argument in All languages combined, or Wiktionary
{ "etymology_text": "Named after philosopher John Lucas and mathematician Roger Penrose.", "forms": [ { "form": "the Penrose-Lucas argument", "tags": [ "canonical" ] } ], "head_templates": [ { "args": { "def": "1" }, "expansion": "the Penrose-Lucas argument", "name": "en-prop" } ], "lang": "English", "lang_code": "en", "pos": "name", "senses": [ { "categories": [ { "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w" }, { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" } ], "glosses": [ "An argument based on Gödel's incompleteness theorem, suggesting that the human mind cannot be computed on a Turing machine that works on Peano arithmetic because the latter cannot see the truth value of its Gödel sentence, while a human mind can." ], "id": "en-Penrose-Lucas_argument-en-name-t7vIqaX1", "links": [ [ "Gödel's incompleteness theorem", "Gödel's incompleteness theorem" ], [ "human", "human" ], [ "mind", "mind" ], [ "Turing machine", "Turing machine" ], [ "Peano arithmetic", "Peano arithmetic" ], [ "truth value", "truth value" ], [ "Gödel sentence", "Gödel sentence" ] ], "synonyms": [ { "word": "Lucas-Penrose argument" } ] } ], "word": "Penrose-Lucas argument" }
{ "etymology_text": "Named after philosopher John Lucas and mathematician Roger Penrose.", "forms": [ { "form": "the Penrose-Lucas argument", "tags": [ "canonical" ] } ], "head_templates": [ { "args": { "def": "1" }, "expansion": "the Penrose-Lucas argument", "name": "en-prop" } ], "lang": "English", "lang_code": "en", "pos": "name", "senses": [ { "categories": [ "English entries with incorrect language header", "English eponyms", "English lemmas", "English multiword terms", "English proper nouns", "English uncountable nouns", "Pages with 1 entry", "Pages with entries" ], "glosses": [ "An argument based on Gödel's incompleteness theorem, suggesting that the human mind cannot be computed on a Turing machine that works on Peano arithmetic because the latter cannot see the truth value of its Gödel sentence, while a human mind can." ], "links": [ [ "Gödel's incompleteness theorem", "Gödel's incompleteness theorem" ], [ "human", "human" ], [ "mind", "mind" ], [ "Turing machine", "Turing machine" ], [ "Peano arithmetic", "Peano arithmetic" ], [ "truth value", "truth value" ], [ "Gödel sentence", "Gödel sentence" ] ] } ], "synonyms": [ { "word": "Lucas-Penrose argument" } ], "word": "Penrose-Lucas argument" }
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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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