See Herbrand function on Wiktionary
{ "etymology_text": "Named after Jacques Herbrand (1908–1931), French mathematician.", "forms": [ { "form": "Herbrand functions", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "Herbrand function (plural Herbrand functions)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "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" }, { "kind": "topical", "langcode": "en", "name": "Logic", "orig": "en:Logic", "parents": [ "Formal sciences", "Philosophy", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "A function which replaces a variable bound by a universal quantifier which lies in the scope of an even number of logical negations; such function is a function of the remaining bound variables whose scope contain the given variable (being replaced)." ], "id": "en-Herbrand_function-en-noun-QkRCMd-9", "links": [ [ "logic", "logic" ], [ "universal quantifier", "universal quantifier" ] ], "raw_glosses": [ "(logic) A function which replaces a variable bound by a universal quantifier which lies in the scope of an even number of logical negations; such function is a function of the remaining bound variables whose scope contain the given variable (being replaced)." ], "related": [ { "word": "Herbrandization" } ], "topics": [ "human-sciences", "logic", "mathematics", "philosophy", "sciences" ], "wikipedia": [ "Jacques Herbrand" ] } ], "word": "Herbrand function" }
{ "etymology_text": "Named after Jacques Herbrand (1908–1931), French mathematician.", "forms": [ { "form": "Herbrand functions", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "Herbrand function (plural Herbrand functions)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "related": [ { "word": "Herbrandization" } ], "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English eponyms", "English lemmas", "English multiword terms", "English nouns", "Pages with 1 entry", "Pages with entries", "en:Logic" ], "glosses": [ "A function which replaces a variable bound by a universal quantifier which lies in the scope of an even number of logical negations; such function is a function of the remaining bound variables whose scope contain the given variable (being replaced)." ], "links": [ [ "logic", "logic" ], [ "universal quantifier", "universal quantifier" ] ], "raw_glosses": [ "(logic) A function which replaces a variable bound by a universal quantifier which lies in the scope of an even number of logical negations; such function is a function of the remaining bound variables whose scope contain the given variable (being replaced)." ], "topics": [ "human-sciences", "logic", "mathematics", "philosophy", "sciences" ], "wikipedia": [ "Jacques Herbrand" ] } ], "word": "Herbrand function" }
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-28 from the enwiktionary dump dated 2024-11-21 using wiktextract (65a6e81 and 0dbea76). 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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