"Löwenheim-Skolem theorem" meaning in All languages combined

See Löwenheim-Skolem theorem on Wiktionary

Proper name [English]

Etymology: Named for Leopold Löwenheim and Thoralf Skolem. Head templates: {{en-proper noun}} Löwenheim-Skolem theorem
  1. (mathematical logic) A theorem stating that, if a countable first-order theory has an infinite model, then for every infinite cardinal number κ it has a model of size κ. The result implies that first-order theories are unable to control the cardinality of their infinite models, and that no first-order theory with an infinite model can have a unique model up to isomorphism. Wikipedia link: Löwenheim-Skolem theorem
    Sense id: en-Löwenheim-Skolem_theorem-en-name-LlAinAmr Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 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.

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