"ℵ" meaning in All languages combined

See ℵ on Wiktionary

Symbol [Translingual]

Forms: aleph [English, name, symbol]
Etymology: Introduced by Georg Cantor, based on the Hebrew letter א, initial letter of אינסוף (infinity). Etymology templates: {{der|mul|he|-}} Hebrew, {{l|mul|א}} א Head templates: {{head|mul|symbol|English symbol name|aleph|or||or||or||cat2=|f1lang=en|f1nolink=|f2lang=en|f2nolink=|f3lang=en|f3nolink=|f4lang=en|f4nolink=|head=|head2=|head3=|head4=|sc=Zmth|sort=}} ℵ (English symbol name aleph), {{mul-symbol|name=aleph}} ℵ (English symbol name aleph)
  1. (set theory) Symbol for the transfinite enumeration of the infinite cardinal numbers in order of magnitude, a function mapping ordinal numbers to infinite cardinals. Tags: alt-of, symbol Alternative form of: the transfinite enumeration of the infinite cardinal numbers in order of magnitude (extra: a function mapping ordinal numbers to infinite cardinals) Categories (topical): Set theory Related terms: ℵ₀, aleph-null, aleph-zero, ℵ₁, aleph-one,

Download JSON data for ℵ meaning in All languages combined (2.4kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "mul",
        "2": "he",
        "3": "-"
      },
      "expansion": "Hebrew",
      "name": "der"
    },
    {
      "args": {
        "1": "mul",
        "2": "א"
      },
      "expansion": "א",
      "name": "l"
    }
  ],
  "etymology_text": "Introduced by Georg Cantor, based on the Hebrew letter א, initial letter of אינסוף (infinity).",
  "forms": [
    {
      "form": "aleph",
      "tags": [
        "English",
        "name",
        "symbol"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "mul",
        "10": "",
        "2": "symbol",
        "3": "English symbol name",
        "4": "aleph",
        "5": "or",
        "6": "",
        "7": "or",
        "8": "",
        "9": "or",
        "cat2": "",
        "f1lang": "en",
        "f1nolink": "",
        "f2lang": "en",
        "f2nolink": "",
        "f3lang": "en",
        "f3nolink": "",
        "f4lang": "en",
        "f4nolink": "",
        "head": "",
        "head2": "",
        "head3": "",
        "head4": "",
        "sc": "Zmth",
        "sort": ""
      },
      "expansion": "ℵ (English symbol name aleph)",
      "name": "head"
    },
    {
      "args": {
        "name": "aleph"
      },
      "expansion": "ℵ (English symbol name aleph)",
      "name": "mul-symbol"
    }
  ],
  "lang": "Translingual",
  "lang_code": "mul",
  "pos": "symbol",
  "senses": [
    {
      "alt_of": [
        {
          "extra": "a function mapping ordinal numbers to infinite cardinals",
          "word": "the transfinite enumeration of the infinite cardinal numbers in order of magnitude"
        }
      ],
      "categories": [
        {
          "kind": "other",
          "name": "Translingual entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Translingual terms with redundant script codes",
          "parents": [
            "Terms with redundant script codes",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "mul",
          "name": "Set theory",
          "orig": "mul:Set theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "Symbol for the transfinite enumeration of the infinite cardinal numbers in order of magnitude, a function mapping ordinal numbers to infinite cardinals."
      ],
      "id": "en-ℵ-mul-symbol-aeaLdFLi",
      "links": [
        [
          "set theory",
          "set theory"
        ],
        [
          "cardinal",
          "cardinal"
        ],
        [
          "ordinal",
          "ordinal"
        ]
      ],
      "raw_glosses": [
        "(set theory) Symbol for the transfinite enumeration of the infinite cardinal numbers in order of magnitude, a function mapping ordinal numbers to infinite cardinals."
      ],
      "related": [
        {
          "word": "ℵ₀"
        },
        {
          "word": "aleph-null"
        },
        {
          "word": "aleph-zero"
        },
        {
          "word": "ℵ₁"
        },
        {
          "word": "aleph-one"
        },
        {
          "word": "ℶ"
        }
      ],
      "tags": [
        "alt-of",
        "symbol"
      ],
      "topics": [
        "mathematics",
        "sciences",
        "set-theory"
      ]
    }
  ],
  "word": "ℵ"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "mul",
        "2": "he",
        "3": "-"
      },
      "expansion": "Hebrew",
      "name": "der"
    },
    {
      "args": {
        "1": "mul",
        "2": "א"
      },
      "expansion": "א",
      "name": "l"
    }
  ],
  "etymology_text": "Introduced by Georg Cantor, based on the Hebrew letter א, initial letter of אינסוף (infinity).",
  "forms": [
    {
      "form": "aleph",
      "tags": [
        "English",
        "name",
        "symbol"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "mul",
        "10": "",
        "2": "symbol",
        "3": "English symbol name",
        "4": "aleph",
        "5": "or",
        "6": "",
        "7": "or",
        "8": "",
        "9": "or",
        "cat2": "",
        "f1lang": "en",
        "f1nolink": "",
        "f2lang": "en",
        "f2nolink": "",
        "f3lang": "en",
        "f3nolink": "",
        "f4lang": "en",
        "f4nolink": "",
        "head": "",
        "head2": "",
        "head3": "",
        "head4": "",
        "sc": "Zmth",
        "sort": ""
      },
      "expansion": "ℵ (English symbol name aleph)",
      "name": "head"
    },
    {
      "args": {
        "name": "aleph"
      },
      "expansion": "ℵ (English symbol name aleph)",
      "name": "mul-symbol"
    }
  ],
  "lang": "Translingual",
  "lang_code": "mul",
  "pos": "symbol",
  "related": [
    {
      "word": "ℵ₀"
    },
    {
      "word": "aleph-null"
    },
    {
      "word": "aleph-zero"
    },
    {
      "word": "ℵ₁"
    },
    {
      "word": "aleph-one"
    },
    {
      "word": "ℶ"
    }
  ],
  "senses": [
    {
      "alt_of": [
        {
          "extra": "a function mapping ordinal numbers to infinite cardinals",
          "word": "the transfinite enumeration of the infinite cardinal numbers in order of magnitude"
        }
      ],
      "categories": [
        "Translingual entries with incorrect language header",
        "Translingual lemmas",
        "Translingual symbols",
        "Translingual terms derived from Hebrew",
        "Translingual terms with redundant script codes",
        "mul:Set theory"
      ],
      "glosses": [
        "Symbol for the transfinite enumeration of the infinite cardinal numbers in order of magnitude, a function mapping ordinal numbers to infinite cardinals."
      ],
      "links": [
        [
          "set theory",
          "set theory"
        ],
        [
          "cardinal",
          "cardinal"
        ],
        [
          "ordinal",
          "ordinal"
        ]
      ],
      "raw_glosses": [
        "(set theory) Symbol for the transfinite enumeration of the infinite cardinal numbers in order of magnitude, a function mapping ordinal numbers to infinite cardinals."
      ],
      "tags": [
        "alt-of",
        "symbol"
      ],
      "topics": [
        "mathematics",
        "sciences",
        "set-theory"
      ]
    }
  ],
  "word": "ℵ"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-20 from the enwiktionary dump dated 2024-05-02 using wiktextract (1d5a7d1 and 304864d). 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.