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Löwenheim–Skolem theorem

theorem that, for any signature 𝜎, any infinite 𝜎-structure 𝑀 and any infinite cardinal 𝜅≥|𝜎|, there is a 𝜎‐structure 𝑁 of cardinality 𝜅 that is either an elementary substructure or an elementary extension of 𝑀
Intangible theorem Q1068283
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Löwenheim–Skolem theorem

Summary

Löwenheim–Skolem theorem is a theorem[1]. It draws 191 Wikipedia views per month (theorem category, ranking #170 of 1,306).[2]

Key Facts

  • Löwenheim–Skolem theorem's instance of is recorded as theorem[3].
  • Leopold Löwenheim is named after Löwenheim–Skolem theorem[4].
  • Thoralf Skolem is named after Löwenheim–Skolem theorem[5].
  • Löwenheim–Skolem theorem's part of is recorded as list of theorems[6].
  • Löwenheim–Skolem theorem's time of discovery or invention is recorded as +1915-00-00T00:00:00Z[7].
  • Löwenheim–Skolem theorem's Freebase ID is recorded as /m/01y472[8].
  • Löwenheim–Skolem theorem's Encyclopædia Britannica Online ID is recorded as topic/Lowenheim-Skolem-theorem[9].
  • Löwenheim–Skolem theorem's studied by is recorded as model theory[10].
  • Löwenheim–Skolem theorem's MathWorld ID is recorded as Loewenheim-SkolemTheorem[11].
  • Löwenheim–Skolem theorem's schematic is recorded as Lowenheim-skolem.svg[12].
  • Löwenheim–Skolem theorem's Larousse ID is recorded as divers/théorème_de_Löwenheim-Skolem/180573[13].
  • Löwenheim–Skolem theorem's maintained by WikiProject is recorded as WikiProject Mathematics[14].
  • Löwenheim–Skolem theorem's Microsoft Academic ID is recorded as 161856267[15].
  • Löwenheim–Skolem theorem's Lex ID is recorded as Skolem-Löwenheims_sætning[16].
  • Löwenheim–Skolem theorem's Treccani's Enciclopedia della Matematica ID is recorded as teorema-di-lowenheim-skolem[17].

Why It Matters

Löwenheim–Skolem theorem draws 191 Wikipedia views per month (theorem category, ranking #170 of 1,306).[2] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[18] It is known by 32 alternative names across languages and contexts.[19]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . Freebase Data Dumps. wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . wikidata.org.
  12. [14] ↑ . wikidata.org.
  13. [15] ↑ . wikidata.org.
  14. [16] ↑ . wikidata.org.
  15. [17] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [18] ↑ . Wikidata sitelinks. wikidata.org.
  3. [19] ↑ . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Löwenheim–Skolem theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/l-wenheim-skolem-theorem
MLA “Löwenheim–Skolem theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/l-wenheim-skolem-theorem.
BibTeX @misc{4ortxyz_l-wenheim-skolem-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Löwenheim–Skolem theorem}}, year = {2026}, url = {https://4ort.xyz/entity/l-wenheim-skolem-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Löwenheim–Skolem theorem — https://4ort.xyz/entity/l-wenheim-skolem-theorem (retrieved 2026-05-03)

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