"Barcan formula" meaning in English

{
  "etymology_text": "Introduced by the logician Ruth Barcan Marcus.",
  "forms": [
    {
      "form": "the Barcan formula",
      "tags": [
        "canonical"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "def": "1"
      },
      "expansion": "the Barcan formula",
      "name": "en-prop"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
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          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
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          "kind": "other",
          "name": "Pages with entries",
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Logic",
          "orig": "en:Logic",
          "parents": [
            "Formal sciences",
            "Philosophy",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "In quantified modal logic, the formula ∀x□Fx→□∀xFx, meaning \"if every x is necessarily F, then it is necessary that every x is F\"."
      ],
      "id": "en-Barcan_formula-en-name-1-q5urpr",
      "links": [
        [
          "logic",
          "logic"
        ],
        [
          "quantified",
          "quantified"
        ],
        [
          "modal logic",
          "modal logic"
        ]
      ],
      "raw_glosses": [
        "(logic) In quantified modal logic, the formula ∀x□Fx→□∀xFx, meaning \"if every x is necessarily F, then it is necessary that every x is F\"."
      ],
      "topics": [
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
        "sciences"
      ],
      "wikipedia": [
        "Ruth Barcan Marcus"
      ]
    }
  ],
  "word": "Barcan formula"
}

{
  "etymology_text": "Introduced by the logician Ruth Barcan Marcus.",
  "forms": [
    {
      "form": "the Barcan formula",
      "tags": [
        "canonical"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "def": "1"
      },
      "expansion": "the Barcan formula",
      "name": "en-prop"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English proper nouns",
        "English uncountable nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Logic"
      ],
      "glosses": [
        "In quantified modal logic, the formula ∀x□Fx→□∀xFx, meaning \"if every x is necessarily F, then it is necessary that every x is F\"."
      ],
      "links": [
        [
          "logic",
          "logic"
        ],
        [
          "quantified",
          "quantified"
        ],
        [
          "modal logic",
          "modal logic"
        ]
      ],
      "raw_glosses": [
        "(logic) In quantified modal logic, the formula ∀x□Fx→□∀xFx, meaning \"if every x is necessarily F, then it is necessary that every x is F\"."
      ],
      "topics": [
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
        "sciences"
      ],
      "wikipedia": [
        "Ruth Barcan Marcus"
      ]
    }
  ],
  "word": "Barcan formula"
}