"first-order logic" meaning in English

{
  "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": "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",
        "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"
}