well-ordered set

set paired with a well-order relation
Intangible mathematical_concept Q54561312
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well-ordered set

Summary

well-ordered set is a mathematical concept[1]. It draws 5 Wikipedia views per month (mathematical_concept category, ranking #252 of 1,007).[2]

Key Facts

  • well-ordered set is credited with the discovery of Georg Cantor[3].
  • well-ordered set's instance of is recorded as mathematical concept[4].
  • well-ordered set's subclass of is recorded as totally ordered set[5].
  • well-ordered set's subclass of is recorded as set with a well-founded order[6].
  • well-ordered set's subclass of is recorded as tree[7].
  • well-ordered set's different from is recorded as well-order[8].
  • well-ordered set's MathWorld ID is recorded as WellOrderedSet[9].
  • well-ordered set's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • well-ordered set's ProofWiki ID is recorded as Definition:Well-Ordered_Set[11].
  • well-ordered set's Encyclopedia of Mathematics article ID is recorded as Well-ordered_set[12].
  • well-ordered set's PlanetMath ID is recorded as WellOrderedSet[13].
  • well-ordered set's ScienceDirect topic ID is recorded as mathematics/well-ordered-set[14].
  • well-ordered set's underlying structure is recorded as set[15].
  • well-ordered set's underlying structure is recorded as well-order[16].

Body

Works and Contributions

well-ordered set is credited with the discovery of Georg Cantor[3].

Why It Matters

well-ordered set draws 5 Wikipedia views per month (mathematical_concept category, ranking #252 of 1,007).[2] It has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.[17] It is known by 6 alternative names across languages and contexts.[18]

References

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

Direct Wikidata claims

  1. [4] . wikidata.org.
  2. [3] . encyclopediaofmath.org. encyclopediaofmath.org. Provenance: wikidata.org.
  3. [5] . encyclopediaofmath.org. encyclopediaofmath.org. Provenance: 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.
  14. [16] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [17] . Wikidata sitelinks. wikidata.org.
  3. [18] . 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-ordered set. Retrieved May 3, 2026, from https://4ort.xyz/entity/well-ordered-set
MLA “well-ordered set.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/well-ordered-set.
BibTeX @misc{4ortxyz_well-ordered-set_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{well-ordered set}}, year = {2026}, url = {https://4ort.xyz/entity/well-ordered-set}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): well-ordered set — https://4ort.xyz/entity/well-ordered-set (retrieved 2026-05-03)

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