"∀" meaning in Translingual

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Symbol

Etymology: Introduced by Gerhard Gentzen who based it on the Latin letter A, by analogy with ∃. Etymology templates: {{m|mul|A}} A, {{m|mul|∃}} ∃ Head templates: {{head|mul|symbol}} ∀
  1. (mathematics, logic) The symbol used in predicate calculus, etc, to represent the universal quantifier, meaning “for all”. Categories (topical): Logic, Mathematics Synonyms: Related terms: , da, de, di, ro, zo'u [Lojban]
    Sense id: en-∀-mul-symbol-TcQEUydR Topics: human-sciences, logic, mathematics, philosophy, sciences

Download JSON data for ∀ meaning in Translingual (1.5kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "mul",
        "2": "A"
      },
      "expansion": "A",
      "name": "m"
    },
    {
      "args": {
        "1": "mul",
        "2": "∃"
      },
      "expansion": "∃",
      "name": "m"
    }
  ],
  "etymology_text": "Introduced by Gerhard Gentzen who based it on the Latin letter A, by analogy with ∃.",
  "head_templates": [
    {
      "args": {
        "1": "mul",
        "2": "symbol"
      },
      "expansion": "∀",
      "name": "head"
    }
  ],
  "lang": "Translingual",
  "lang_code": "mul",
  "pos": "symbol",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "mul",
          "name": "Logic",
          "orig": "mul:Logic",
          "parents": [
            "Formal sciences",
            "Philosophy",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "mul",
          "name": "Mathematics",
          "orig": "mul:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The symbol used in predicate calculus, etc, to represent the universal quantifier, meaning “for all”."
      ],
      "id": "en-∀-mul-symbol-TcQEUydR",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "logic",
          "logic"
        ],
        [
          "predicate calculus",
          "predicate calculus"
        ],
        [
          "universal quantifier",
          "universal quantifier"
        ]
      ],
      "raw_glosses": [
        "(mathematics, logic) The symbol used in predicate calculus, etc, to represent the universal quantifier, meaning “for all”."
      ],
      "related": [
        {
          "word": "∃"
        },
        {
          "word": "da"
        },
        {
          "word": "de"
        },
        {
          "word": "di"
        },
        {
          "word": "ro"
        },
        {
          "tags": [
            "Lojban"
          ],
          "word": "zo'u"
        }
      ],
      "synonyms": [
        {
          "word": "⋀"
        }
      ],
      "topics": [
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
        "sciences"
      ]
    }
  ],
  "word": "∀"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "mul",
        "2": "A"
      },
      "expansion": "A",
      "name": "m"
    },
    {
      "args": {
        "1": "mul",
        "2": "∃"
      },
      "expansion": "∃",
      "name": "m"
    }
  ],
  "etymology_text": "Introduced by Gerhard Gentzen who based it on the Latin letter A, by analogy with ∃.",
  "head_templates": [
    {
      "args": {
        "1": "mul",
        "2": "symbol"
      },
      "expansion": "∀",
      "name": "head"
    }
  ],
  "lang": "Translingual",
  "lang_code": "mul",
  "pos": "symbol",
  "related": [
    {
      "word": "∃"
    },
    {
      "word": "da"
    },
    {
      "word": "de"
    },
    {
      "word": "di"
    },
    {
      "word": "ro"
    },
    {
      "tags": [
        "Lojban"
      ],
      "word": "zo'u"
    }
  ],
  "senses": [
    {
      "categories": [
        "Translingual lemmas",
        "Translingual symbols",
        "mul:Logic",
        "mul:Mathematics"
      ],
      "glosses": [
        "The symbol used in predicate calculus, etc, to represent the universal quantifier, meaning “for all”."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "logic",
          "logic"
        ],
        [
          "predicate calculus",
          "predicate calculus"
        ],
        [
          "universal quantifier",
          "universal quantifier"
        ]
      ],
      "raw_glosses": [
        "(mathematics, logic) The symbol used in predicate calculus, etc, to represent the universal quantifier, meaning “for all”."
      ],
      "synonyms": [
        {
          "word": "⋀"
        }
      ],
      "topics": [
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
        "sciences"
      ]
    }
  ],
  "word": "∀"
}

This page is a part of the kaikki.org machine-readable Translingual dictionary. This dictionary is based on structured data extracted on 2024-03-12 from the enwiktionary dump dated 2024-03-01 using wiktextract (68773ab and 5f6ddbb). 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.