"inference rule" meaning in All languages combined

See inference rule on Wiktionary

Noun [English]

Forms: inference rules [plural]
Head templates: {{en-noun}} inference rule (plural inference rules)
  1. (logic, proof theory) A rule for combining (or modifying) well-formed formulas of a formal language in a truth-preserving manner (to yield new well-formed formulas). Wikipedia link: rule of inference Categories (topical): Logic Hyponyms: modus ponens, modus tollens, existential instantiation Holonyms: formal system
    Sense id: en-inference_rule-en-noun-1VuEcItb 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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  "lang_code": "en",
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  "senses": [
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          "name": "English entries with incorrect language header",
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          "orig": "en:Logic",
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            "Philosophy",
            "Sciences",
            "All topics",
            "Fundamental"
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          "source": "w"
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      ],
      "glosses": [
        "A rule for combining (or modifying) well-formed formulas of a formal language in a truth-preserving manner (to yield new well-formed formulas)."
      ],
      "holonyms": [
        {
          "word": "formal system"
        }
      ],
      "hyponyms": [
        {
          "word": "modus ponens"
        },
        {
          "word": "modus tollens"
        },
        {
          "word": "existential instantiation"
        }
      ],
      "id": "en-inference_rule-en-noun-1VuEcItb",
      "links": [
        [
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        [
          "well-formed formula",
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        ],
        [
          "truth",
          "truth"
        ],
        [
          "preserving",
          "preserving"
        ]
      ],
      "qualifier": "proof theory",
      "raw_glosses": [
        "(logic, proof theory) A rule for combining (or modifying) well-formed formulas of a formal language in a truth-preserving manner (to yield new well-formed formulas)."
      ],
      "topics": [
        "human-sciences",
        "logic",
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      "wikipedia": [
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  "word": "inference rule"
}
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  "hyponyms": [
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      "word": "modus ponens"
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    {
      "word": "modus tollens"
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    {
      "word": "existential instantiation"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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      "glosses": [
        "A rule for combining (or modifying) well-formed formulas of a formal language in a truth-preserving manner (to yield new well-formed formulas)."
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      "qualifier": "proof theory",
      "raw_glosses": [
        "(logic, proof theory) A rule for combining (or modifying) well-formed formulas of a formal language in a truth-preserving manner (to yield new well-formed formulas)."
      ],
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        "human-sciences",
        "logic",
        "mathematics",
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  "word": "inference rule"
}

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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.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.