"Herbrand universe" meaning in All languages combined

See Herbrand universe on Wiktionary

Noun [English]

Forms: Herbrand universes [plural]
Etymology: Named after Jacques Herbrand (1908–1931), French mathematician. Head templates: {{en-noun}} Herbrand universe (plural Herbrand universes)
  1. (logic) The set of all ground terms that may be formed (even recursively) using any of the constants and functions which appear in a given set of formulae. (If there is no constant in that given set of formulae, then designate one default constant as being usable for the aforementioned purpose.) Wikipedia link: Jacques Herbrand, Term algebra Categories (topical): Logic
    Sense id: en-Herbrand_universe-en-noun-Nq-dgK1Z Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: human-sciences, logic, mathematics, philosophy, sciences

Inflected forms

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            "Philosophy",
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      "glosses": [
        "The set of all ground terms that may be formed (even recursively) using any of the constants and functions which appear in a given set of formulae. (If there is no constant in that given set of formulae, then designate one default constant as being usable for the aforementioned purpose.)"
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        "(logic) The set of all ground terms that may be formed (even recursively) using any of the constants and functions which appear in a given set of formulae. (If there is no constant in that given set of formulae, then designate one default constant as being usable for the aforementioned purpose.)"
      ],
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  "word": "Herbrand universe"
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{
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        "(logic) The set of all ground terms that may be formed (even recursively) using any of the constants and functions which appear in a given set of formulae. (If there is no constant in that given set of formulae, then designate one default constant as being usable for the aforementioned purpose.)"
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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 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). 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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