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well-ordering theorem

set-theoretic theorem or principle, equivalent to the axiom of choice
Intangible theorem Q1457052
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well-ordering theorem

Summary

well-ordering theorem is a theorem[1]. It ranks in the top 10% of theorem entities by monthly Wikipedia readership (163 views/month).[2]

Key Facts

  • well-ordering theorem's instance of is recorded as theorem[3].
  • well-ordering theorem's instance of is recorded as axiom of set theory[4].
  • well-ordering theorem's instance of is recorded as equivalent of the axiom of choice[5].
  • well-ordering theorem's part of is recorded as list of theorems[6].
  • well-ordering theorem's part of is recorded as list of axioms[7].
  • well-ordering theorem's said to be the same as is recorded as axiom of choice[8].
  • well-ordering theorem's Freebase ID is recorded as /m/083jf[9].
  • well-ordering theorem's studied by is recorded as Zermelo–Fraenkel set theory[10].
  • well-ordering theorem's JSTOR topic ID is recorded as well-ordering-theorem[11].
  • well-ordering theorem's nLab ID is recorded as well-ordering theorem[12].
  • well-ordering theorem's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • well-ordering theorem's Microsoft Academic ID is recorded as 68910473[14].
  • well-ordering theorem's ProofWiki ID is recorded as Zermelo's_Well-Ordering_Theorem[15].

Why It Matters

well-ordering theorem ranks in the top 10% of theorem entities by monthly Wikipedia readership (163 views/month).[2] It has Wikipedia articles in 18 language editions, a strong signal of global cultural recognition.[16] It is known by 12 alternative names across languages and contexts.[17]

Related Entities

Ernst Zermelo

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] ↑ . 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.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [16] ↑ . Wikidata sitelinks. wikidata.org.
  3. [17] ↑ . 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). well-ordering theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/well-ordering-theorem
MLA “well-ordering theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/well-ordering-theorem.
BibTeX @misc{4ortxyz_well-ordering-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{well-ordering theorem}}, year = {2026}, url = {https://4ort.xyz/entity/well-ordering-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): well-ordering theorem — https://4ort.xyz/entity/well-ordering-theorem (retrieved 2026-05-03)

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