"∀" meaning in Translingual

See ∀ in All languages combined, or Wiktionary

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
    Sense id: ∀-mul-symbol-TcQEUydR Topics: human-sciences, logic, mathematics, philosophy, sciences Synonyms: Related terms: , da, de, di, ro, zo'u [Lojban]

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": "∀-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 2023-09-28 from the enwiktionary dump dated 2023-09-20 using wiktextract (3a5822b and 3ce51e7).

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.

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.