"first-order logic" meaning in All languages combined

See first-order logic on Wiktionary

Noun [English]

Forms: first-order logics [plural]
Head templates: {{en-noun|~}} first-order logic (countable and uncountable, plural first-order logics)
  1. (logic) A formal deductive system extended from propositional logic with the possibility to quantify over individuals of the domain of discourse. Wikipedia link: first-order logic Tags: countable, uncountable Categories (topical): Logic Synonyms: FOL Hypernyms: predicate logic Translations (formal deductive system expanded from propositional logic): منطق الرتبَة الأولى (Arabic), lògica de primer ordre (Catalan), ensimmäisen kertaluvun logiikka (Finnish), λογική πρώτου βαθμού (logikí prótou vathmoú) [feminine] (Greek), rökfræði fyrstu stéttar [feminine] (Icelandic), lógica de primer orden [feminine] (Spanish)

Inflected forms

Alternative forms

{
  "forms": [
    {
      "form": "first-order logics",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "~"
      },
      "expansion": "first-order logic (countable and uncountable, plural first-order logics)",
      "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": "Entries with translation boxes",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Arabic translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Catalan translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Finnish translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Greek translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Icelandic translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Spanish translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Logic",
          "orig": "en:Logic",
          "parents": [
            "Formal sciences",
            "Philosophy",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A formal deductive system extended from propositional logic with the possibility to quantify over individuals of the domain of discourse."
      ],
      "hypernyms": [
        {
          "word": "predicate logic"
        }
      ],
      "id": "en-first-order_logic-en-noun-zvzEtSw~",
      "links": [
        [
          "logic",
          "logic"
        ],
        [
          "propositional logic",
          "propositional logic"
        ],
        [
          "domain of discourse",
          "domain of discourse"
        ]
      ],
      "raw_glosses": [
        "(logic) A formal deductive system extended from propositional logic with the possibility to quantify over individuals of the domain of discourse."
      ],
      "synonyms": [
        {
          "word": "FOL"
        }
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
        "sciences"
      ],
      "translations": [
        {
          "code": "ar",
          "lang": "Arabic",
          "sense": "formal deductive system expanded from propositional logic",
          "word": "منطق الرتبَة الأولى"
        },
        {
          "code": "ca",
          "lang": "Catalan",
          "sense": "formal deductive system expanded from propositional logic",
          "word": "lògica de primer ordre"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "formal deductive system expanded from propositional logic",
          "word": "ensimmäisen kertaluvun logiikka"
        },
        {
          "code": "el",
          "lang": "Greek",
          "roman": "logikí prótou vathmoú",
          "sense": "formal deductive system expanded from propositional logic",
          "tags": [
            "feminine"
          ],
          "word": "λογική πρώτου βαθμού"
        },
        {
          "code": "is",
          "lang": "Icelandic",
          "sense": "formal deductive system expanded from propositional logic",
          "tags": [
            "feminine"
          ],
          "word": "rökfræði fyrstu stéttar"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "sense": "formal deductive system expanded from propositional logic",
          "tags": [
            "feminine"
          ],
          "word": "lógica de primer orden"
        }
      ],
      "wikipedia": [
        "first-order logic"
      ]
    }
  ],
  "word": "first-order logic"
}
{
  "forms": [
    {
      "form": "first-order logics",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "~"
      },
      "expansion": "first-order logic (countable and uncountable, plural first-order logics)",
      "name": "en-noun"
    }
  ],
  "hypernyms": [
    {
      "word": "predicate logic"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English uncountable nouns",
        "Entries with translation boxes",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with Arabic translations",
        "Terms with Catalan translations",
        "Terms with Finnish translations",
        "Terms with Greek translations",
        "Terms with Icelandic translations",
        "Terms with Spanish translations",
        "en:Logic"
      ],
      "glosses": [
        "A formal deductive system extended from propositional logic with the possibility to quantify over individuals of the domain of discourse."
      ],
      "links": [
        [
          "logic",
          "logic"
        ],
        [
          "propositional logic",
          "propositional logic"
        ],
        [
          "domain of discourse",
          "domain of discourse"
        ]
      ],
      "raw_glosses": [
        "(logic) A formal deductive system extended from propositional logic with the possibility to quantify over individuals of the domain of discourse."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
        "sciences"
      ],
      "wikipedia": [
        "first-order logic"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "FOL"
    }
  ],
  "translations": [
    {
      "code": "ar",
      "lang": "Arabic",
      "sense": "formal deductive system expanded from propositional logic",
      "word": "منطق الرتبَة الأولى"
    },
    {
      "code": "ca",
      "lang": "Catalan",
      "sense": "formal deductive system expanded from propositional logic",
      "word": "lògica de primer ordre"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "formal deductive system expanded from propositional logic",
      "word": "ensimmäisen kertaluvun logiikka"
    },
    {
      "code": "el",
      "lang": "Greek",
      "roman": "logikí prótou vathmoú",
      "sense": "formal deductive system expanded from propositional logic",
      "tags": [
        "feminine"
      ],
      "word": "λογική πρώτου βαθμού"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "formal deductive system expanded from propositional logic",
      "tags": [
        "feminine"
      ],
      "word": "rökfræði fyrstu stéttar"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "formal deductive system expanded from propositional logic",
      "tags": [
        "feminine"
      ],
      "word": "lógica de primer orden"
    }
  ],
  "word": "first-order logic"
}

Download raw JSONL data for first-order logic meaning in All languages combined (2.4kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.