See Herbrandization in All languages combined, or Wiktionary
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{ "coordinate_terms": [ { "word": "Skolemization" } ], "etymology_templates": [ { "args": { "1": "en", "2": "Herbrand", "3": "ization" }, "expansion": "Herbrand + -ization", "name": "suffix" } ], "etymology_text": "From Herbrand + -ization, after Jacques Herbrand (1908–1931), French mathematician.", "head_templates": [ { "args": { "1": "-" }, "expansion": "Herbrandization (uncountable)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "English entries with incorrect language header", "English eponyms", "English lemmas", "English nouns", "English terms suffixed with -ization", "English uncountable nouns", "Pages with 1 entry", "Pages with entries", "en:Logic" ], "glosses": [ "The conversion of a formula of first-order logic which involves the following steps: (1) replace free variables with constants, (2) replace any variable bound by a universal quantifier which lies in the scope of an even number of logical negations with a Herbrand function, and (3) replace any variable bound by an existential quantifier which lies in the scope of an odd number of negations with a Herbrand function." ], "links": [ [ "logic", "logic" ], [ "first-order logic", "first-order logic" ], [ "universal quantifier", "universal quantifier" ], [ "Herbrand function", "Herbrand function" ], [ "existential quantifier", "existential quantifier" ] ], "raw_glosses": [ "(logic) The conversion of a formula of first-order logic which involves the following steps: (1) replace free variables with constants, (2) replace any variable bound by a universal quantifier which lies in the scope of an even number of logical negations with a Herbrand function, and (3) replace any variable bound by an existential quantifier which lies in the scope of an odd number of negations with a Herbrand function." ], "tags": [ "uncountable" ], "topics": [ "human-sciences", "logic", "mathematics", "philosophy", "sciences" ], "wikipedia": [ "Herbrandization", "Jacques Herbrand" ] } ], "word": "Herbrandization" }
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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 2024-11-01 from the enwiktionary dump dated 2024-10-02 using wiktextract (d49d402 and a5af179). 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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