See ℵ₁ in All languages combined, or Wiktionary
{ "head_templates": [ { "args": { "1": "mul", "2": "symbol", "head": "ℵ₁" }, "expansion": "ℵ₁", "name": "head" } ], "lang": "Translingual", "lang_code": "mul", "pos": "symbol", "senses": [ { "categories": [ { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "other", "name": "Translingual entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w" }, { "kind": "other", "langcode": "en", "name": "Infinity", "orig": "en:Infinity", "parents": [], "source": "w" }, { "kind": "topical", "langcode": "mul", "name": "Mathematics", "orig": "mul:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "kind": "topical", "langcode": "mul", "name": "Set theory", "orig": "mul:Set theory", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "the second of the transfinite cardinal numbers; according to the continuum hypothesis, it corresponds to the number of real numbers." ], "id": "en-ℵ₁-mul-symbol-8kZ45fF9", "links": [ [ "mathematics", "mathematics" ], [ "set theory", "set theory" ], [ "transfinite", "transfinite" ], [ "cardinal number", "cardinal number" ], [ "continuum hypothesis", "continuum hypothesis" ], [ "real number", "real number" ] ], "raw_glosses": [ "(mathematics, set theory) the second of the transfinite cardinal numbers; according to the continuum hypothesis, it corresponds to the number of real numbers." ], "related": [ { "word": "aleph-one" }, { "word": "ℵ₀" } ], "topics": [ "mathematics", "sciences", "set-theory" ] } ], "word": "ℵ₁" }
{ "head_templates": [ { "args": { "1": "mul", "2": "symbol", "head": "ℵ₁" }, "expansion": "ℵ₁", "name": "head" } ], "lang": "Translingual", "lang_code": "mul", "pos": "symbol", "related": [ { "word": "aleph-one" }, { "word": "ℵ₀" } ], "senses": [ { "categories": [ "Pages with 1 entry", "Pages with entries", "Translingual entries with incorrect language header", "Translingual lemmas", "Translingual symbols", "Translingual terms spelled with ₁", "Translingual terms spelled with ℵ", "en:Infinity", "mul:Mathematics", "mul:Set theory" ], "glosses": [ "the second of the transfinite cardinal numbers; according to the continuum hypothesis, it corresponds to the number of real numbers." ], "links": [ [ "mathematics", "mathematics" ], [ "set theory", "set theory" ], [ "transfinite", "transfinite" ], [ "cardinal number", "cardinal number" ], [ "continuum hypothesis", "continuum hypothesis" ], [ "real number", "real number" ] ], "raw_glosses": [ "(mathematics, set theory) the second of the transfinite cardinal numbers; according to the continuum hypothesis, it corresponds to the number of real numbers." ], "topics": [ "mathematics", "sciences", "set-theory" ] } ], "word": "ℵ₁" }
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This page is a part of the kaikki.org machine-readable Translingual dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.