set

well-defined mathematical collection of distinct objects
Thing primitive_notion Q36161
set
PolygonsSet.svg: kismalac / derivative work: Stephan Kulla (Stephan Kulla), Jochen Burghardt · Public Domain · Wikimedia
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Summary

set is a primitive notion[1]. set draws 10,819 Wikipedia views per month (primitive notion category, ranking #1 of 2).[2]

Key Facts

  • Subclass of: class[3], multiset[4], algebraic structure[5], formal entity[6]
  • Commons category: Sets (mathematics)[7]
  • Has part(s): element[8]
  • Has cause: extensional definition[9], intensional definition[10]
  • Described by source: Mathwords[11], mathisfun.com[12], AoPS Wiki[13]
  • Used by: set operation[14]
  • Equivalent class: http://www.ontologydesignpatterns.org/ont/dul/DUL.owl#Set[15], http://www.loa-cnr.it/ontologies/DOLCE-Lite.owl#set[16], http://smartweb.semanticweb.org/ontology/smartdolce#set[17], https://w3id.org/gfo/base/Set[18]
  • Different from: group[19], class[20], set[21]
  • Properties for this type: P2820[22], P2738[23], P2737[24], P2670[25]
  • Uses: property[26]
  • Studied by: set theory[27]
  • On focus list of Wikimedia project: Wikipedia:Vital articles/Level/4[28]
  • Maintained by WikiProject: WikiProject Mathematics[29]

Body

Influence

Things named for set include Set[30], a tabletop game[31].

Why It Matters

set has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.[32] set is known by 55 alternative names across languages and contexts.[33]

Entities named for set include Set[30], a tabletop game[31].

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] ↑ . DOLCE+DnS Ultralite. wikidata.org.
  14. [16] ↑ . Q141163352. wikidata.org.
  15. [17] ↑ . Q141177877. wikidata.org.
  16. [18] ↑ . General formal ontology. wikidata.org.
  17. [19] ↑ . wikidata.org.
  18. [20] ↑ . wikidata.org.
  19. [21] ↑ . wikidata.org.
  20. [22] ↑ . wikidata.org.
  21. [23] ↑ . wikidata.org.
  22. [24] ↑ . wikidata.org.
  23. [25] ↑ . wikidata.org.
  24. [26] ↑ . wikidata.org.
  25. [27] ↑ . wikidata.org.
  26. [28] ↑ . wikidata.org.
  27. [29] ↑ . wikidata.org.

Inverse relationships (entities pointing at this one)

  1. [30] ↑ . wikidata.org. → on this site

Inline context (facts about related entities)

  1. [31] ↑ . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [32] ↑ . Wikidata sitelinks. wikidata.org.
  3. [33] ↑ . 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). set. Retrieved October 11, 2026, from https://4ort.xyz/entity/set
MLA “set.” 4ort.xyz Knowledge Graph, 4ort.xyz, 11 Oct. 2026, https://4ort.xyz/entity/set.
BibTeX @misc{4ortxyz_set_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{set}}, year = {2026}, url = {https://4ort.xyz/entity/set}, note = {Accessed: 2026-10-11}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): set — https://4ort.xyz/entity/set (retrieved 2026-10-11)

Canonical URL: https://4ort.xyz/entity/set · Last refreshed:

Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 7d ago · عُثمان · 2026-10-05 view diff on Wikidata ↗
    Equivalent class → http://www.ontologydesignpatterns.org/ont/dul/DUL.owl#Set, http://www.loa-cnr.it/ontologies/DOLCE-Lite.owl#set, http://smartweb.semanticweb.org/ontology/smartdolce#set +1
    Claims rich → —
    "/* wbsetclaim-create:2||1 */ Equivalent class: https://w3id.org/gfo/base/Set"
  2. 10d ago · AddyLockPool · 2026-10-02 view diff on Wikidata ↗
    Described by source → Mathwords, mathisfun.com, AoPS Wiki
    Sitelink count → 122
    Wikipedia languages → ['als', 'am', 'ar', 'ast', 'az', 'ba', 'be', 'be_x_old', 'bg', 'bn', 'bs', 'ca',
    Planetmath id → Set
    + 2 other properties edited (see Wikidata diff for full list)
    "/* wbeditentity-statements-multiple-properties-add:0||3 */ Add 5 sources/identifiers (via Wikidata Source Saver)"
  3. 6w ago · عُثمان · 2026-08-28 view diff on Wikidata ↗
    Equivalent class → http://www.ontologydesignpatterns.org/ont/dul/DUL.owl#Set, http://www.loa-cnr.it/ontologies/DOLCE-Lite.owl#set, http://smartweb.semanticweb.org/ontology/smartdolce#set +1
    Brilliant wiki id → sets
    "/* wbsetclaim-create:2||1 */ Equivalent class: http://smartweb.semanticweb.org/ontology/smartdolce#set"
  4. 6w ago · عُثمان · 2026-08-26 view diff on Wikidata ↗
    Subclass of → class, multiset, algebraic structure +1
    "/* wbsetclaim-create:2||1 */ Subclass of: formal entity"
  5. 17w ago · Jindřich Rubeš · 2026-06-11 view diff on Wikidata ↗
    Svkkl authority id → h0003621-mnoziny
    "/* wbcreateclaim-create:1| */ Svkkl authority id: h0003621-mnoziny, [[:toollabs:quickstatements/#/batch/259495|batch #259495]]"
  6. 20w ago · Twofivesixbot bot · 2026-05-19 view diff on Wikidata ↗
    Used by → —
    Different from → group, class, set
    Maintained by wikiproject → WikiProject Mathematics
    Local thumb → —
    + 14 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|4 */ Yso id: 12530, mv to monolingual text names on YSO statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.