"substitution instance" meaning in English

See substitution instance in All languages combined, or Wiktionary

Noun

Forms: substitution instances [plural]
Head templates: {{en-noun|head=substitution instance}} substitution instance (plural substitution instances)
  1. (logic) A well-formed formula (wff) that has a constant term in place of a variable; expressed as Q(a/x), where the resulting wff is identical to Q except that the constant a takes the place of every free occurrence of the variable x.
    Sense id: en-substitution_instance-en-noun-lOrh1e~O Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries, Logic Topics: human-sciences, logic, mathematics, philosophy, sciences
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      "form": "substitution instances",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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          "name": "English entries with incorrect language header",
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      "examples": [
        {
          "ref": "1972, Alonzo Church, Introduction to Mathematical Logic, Princeton University Press, page 78:",
          "text": "The result of substituting a term a for all free occurrences of the variable x in the formula Q is denoted by Q(a/x).",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A well-formed formula (wff) that has a constant term in place of a variable; expressed as Q(a/x), where the resulting wff is identical to Q except that the constant a takes the place of every free occurrence of the variable x."
      ],
      "id": "en-substitution_instance-en-noun-lOrh1e~O",
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      "raw_glosses": [
        "(logic) A well-formed formula (wff) that has a constant term in place of a variable; expressed as Q(a/x), where the resulting wff is identical to Q except that the constant a takes the place of every free occurrence of the variable x."
      ],
      "topics": [
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
        "sciences"
      ]
    }
  ],
  "word": "substitution instance"
}
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  "antonyms": [
    {
      "word": "generalization"
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  "forms": [
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      "form": "substitution instances",
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      "glosses": [
        "A well-formed formula (wff) that has a constant term in place of a variable; expressed as Q(a/x), where the resulting wff is identical to Q except that the constant a takes the place of every free occurrence of the variable x."
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        "(logic) A well-formed formula (wff) that has a constant term in place of a variable; expressed as Q(a/x), where the resulting wff is identical to Q except that the constant a takes the place of every free occurrence of the variable x."
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Download raw JSONL data for substitution instance meaning in English (1.5kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2026-07-16 from the enwiktionary dump dated 2026-07-06 using wiktextract (e62056b and e7887d5). 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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