"ℶ" meaning in All languages combined

See ℶ on Wiktionary

Symbol [Translingual]

Forms: beth [English, name, symbol]
Head templates: {{head|mul|symbol|English symbol name|beth|or||or||or||cat2=|f1lang=en|f1nolink=|f2lang=en|f2nolink=|f3lang=en|f3nolink=|f4lang=en|f4nolink=|head=|head2=|head3=|head4=|sc=Zsym|sort=}} ℶ (English symbol name beth), {{mul-symbol|name=beth}} ℶ (English symbol name beth)
  1. (set theory) Symbol for the cardinality of an infinite set in a iterative hierarchy of power sets, starting with ℵ₀. Usually indexed by an ordinal number. Tags: alt-of, symbol Alternative form of: the cardinality of an infinite set in a iterative hierarchy of power sets (extra: Usually indexed by an ordinal number), starting with ℵ₀ (extra: Usually indexed by an ordinal number) Categories (topical): Set theory Related terms:

Download JSON data for ℶ meaning in All languages combined (2.3kB)

{
  "forms": [
    {
      "form": "beth",
      "tags": [
        "English",
        "name",
        "symbol"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "mul",
        "10": "",
        "2": "symbol",
        "3": "English symbol name",
        "4": "beth",
        "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": "Zsym",
        "sort": ""
      },
      "expansion": "ℶ (English symbol name beth)",
      "name": "head"
    },
    {
      "args": {
        "name": "beth"
      },
      "expansion": "ℶ (English symbol name beth)",
      "name": "mul-symbol"
    }
  ],
  "lang": "Translingual",
  "lang_code": "mul",
  "pos": "symbol",
  "senses": [
    {
      "alt_of": [
        {
          "extra": "Usually indexed by an ordinal number",
          "word": "the cardinality of an infinite set in a iterative hierarchy of power sets"
        },
        {
          "extra": "Usually indexed by an ordinal number",
          "word": "starting with ℵ₀"
        }
      ],
      "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 non-redundant manual script codes",
          "parents": [
            "Terms with non-redundant manual 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"
        }
      ],
      "examples": [
        {
          "text": "(2)+ðב₀=א₀, ב_(α+1)=2, and lim ב_λ→ sup ב_α:α<λ for a limit ordinal λ."
        }
      ],
      "glosses": [
        "Symbol for the cardinality of an infinite set in a iterative hierarchy of power sets, starting with ℵ₀. Usually indexed by an ordinal number."
      ],
      "id": "en-ℶ-mul-symbol-7eKjSN0P",
      "links": [
        [
          "set theory",
          "set theory"
        ],
        [
          "cardinality",
          "cardinality"
        ],
        [
          "infinite",
          "infinite"
        ],
        [
          "set",
          "set"
        ],
        [
          "iterative",
          "iterative"
        ],
        [
          "hierarchy",
          "hierarchy"
        ],
        [
          "power set",
          "power set"
        ],
        [
          "ℵ₀",
          "ℵ₀"
        ]
      ],
      "raw_glosses": [
        "(set theory) Symbol for the cardinality of an infinite set in a iterative hierarchy of power sets, starting with ℵ₀. Usually indexed by an ordinal number."
      ],
      "related": [
        {
          "word": "ℵ"
        }
      ],
      "tags": [
        "alt-of",
        "symbol"
      ],
      "topics": [
        "mathematics",
        "sciences",
        "set-theory"
      ]
    }
  ],
  "word": "ℶ"
}
{
  "forms": [
    {
      "form": "beth",
      "tags": [
        "English",
        "name",
        "symbol"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "mul",
        "10": "",
        "2": "symbol",
        "3": "English symbol name",
        "4": "beth",
        "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": "Zsym",
        "sort": ""
      },
      "expansion": "ℶ (English symbol name beth)",
      "name": "head"
    },
    {
      "args": {
        "name": "beth"
      },
      "expansion": "ℶ (English symbol name beth)",
      "name": "mul-symbol"
    }
  ],
  "lang": "Translingual",
  "lang_code": "mul",
  "pos": "symbol",
  "related": [
    {
      "word": "ℵ"
    }
  ],
  "senses": [
    {
      "alt_of": [
        {
          "extra": "Usually indexed by an ordinal number",
          "word": "the cardinality of an infinite set in a iterative hierarchy of power sets"
        },
        {
          "extra": "Usually indexed by an ordinal number",
          "word": "starting with ℵ₀"
        }
      ],
      "categories": [
        "Translingual entries with incorrect language header",
        "Translingual lemmas",
        "Translingual symbols",
        "Translingual terms with non-redundant manual script codes",
        "mul:Set theory"
      ],
      "examples": [
        {
          "text": "(2)+ðב₀=א₀, ב_(α+1)=2, and lim ב_λ→ sup ב_α:α<λ for a limit ordinal λ."
        }
      ],
      "glosses": [
        "Symbol for the cardinality of an infinite set in a iterative hierarchy of power sets, starting with ℵ₀. Usually indexed by an ordinal number."
      ],
      "links": [
        [
          "set theory",
          "set theory"
        ],
        [
          "cardinality",
          "cardinality"
        ],
        [
          "infinite",
          "infinite"
        ],
        [
          "set",
          "set"
        ],
        [
          "iterative",
          "iterative"
        ],
        [
          "hierarchy",
          "hierarchy"
        ],
        [
          "power set",
          "power set"
        ],
        [
          "ℵ₀",
          "ℵ₀"
        ]
      ],
      "raw_glosses": [
        "(set theory) Symbol for the cardinality of an infinite set in a iterative hierarchy of power sets, starting with ℵ₀. Usually indexed by an ordinal number."
      ],
      "tags": [
        "alt-of",
        "symbol"
      ],
      "topics": [
        "mathematics",
        "sciences",
        "set-theory"
      ]
    }
  ],
  "word": "ℶ"
}

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.