"large cardinal" meaning in English

See large cardinal in All languages combined, or Wiktionary

Noun

Forms: large cardinals [plural]
Head templates: {{en-noun}} large cardinal (plural large cardinals)
  1. (mathematics) A cardinal number whose existence cannot be proved from the usual Zermelo-Fraenkel axioms of set theory, and which therefore requires a new axiom stating its existence. Categories (topical): Mathematics
    Sense id: en-large_cardinal-en-noun--sCNjfn6 Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, sciences

Inflected forms

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          "orig": "en:Mathematics",
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      "glosses": [
        "A cardinal number whose existence cannot be proved from the usual Zermelo-Fraenkel axioms of set theory, and which therefore requires a new axiom stating its existence."
      ],
      "id": "en-large_cardinal-en-noun--sCNjfn6",
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        ],
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          "axiom",
          "axiom"
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        [
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          "set theory"
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      "raw_glosses": [
        "(mathematics) A cardinal number whose existence cannot be proved from the usual Zermelo-Fraenkel axioms of set theory, and which therefore requires a new axiom stating its existence."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
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  "word": "large cardinal"
}
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        "A cardinal number whose existence cannot be proved from the usual Zermelo-Fraenkel axioms of set theory, and which therefore requires a new axiom stating its existence."
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        "(mathematics) A cardinal number whose existence cannot be proved from the usual Zermelo-Fraenkel axioms of set theory, and which therefore requires a new axiom stating its existence."
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        "mathematics",
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Download raw JSONL data for large cardinal meaning in English (1.0kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-04-10 from the enwiktionary dump dated 2025-04-03 using wiktextract (74c5344 and fb63907). 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.