intersection

concept in set theory (for the term in geometry, see Q1364910)
Thing set_operation Q185837
intersection
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Summary

intersection is a set operation[1]. intersection draws 864 Wikipedia views per month (set_operation category, ranking #3 of 6).[2]

Key Facts

  • intersection's instance of is recorded as set operation[3].
  • intersection's instance of is recorded as binary operation[4].
  • intersection's instance of is recorded as intersection[5].
  • intersection's instance of is recorded as intersection of several sets[6].
  • intersection is a type of subset[7].
  • intersection's Commons category is recorded as Intersection (set theory)[8].
  • intersection is the opposite of union[9].
  • intersection's notation is recorded as ∩[10].
  • intersection's depicted by is recorded as ∩[11].
  • intersection's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[12].
  • intersection's described by source is recorded as Mathwords[13].
  • intersection's has characteristic is recorded as commutative property[14].
  • intersection's has characteristic is recorded as associativity[15].
  • intersection's main Wikidata property is recorded as P971[16].
  • intersection's different from is recorded as cutting[17].
  • intersection's different from is recorded as intersection[18].
  • intersection's different from is recorded as intersection (geometry)[19].
  • intersection's different from is recorded as intersection[20].
  • intersection's TeX string is recorded as \cap[21].
  • intersection's studied by is recorded as set theory[22].
  • intersection's maintained by WikiProject is recorded as WikiProject Mathematics[23].

Body

Definition and Type

Recorded instance of include set operation[3], binary operation[4], intersection[5], and intersection of several sets[6]. intersection is a type of subset[7]. intersection is the opposite of union[9].

Influence

Things named for intersection include intersection graph[24].

Why It Matters

intersection draws 864 Wikipedia views per month (set_operation category, ranking #3 of 6).[2] intersection has Wikipedia articles in 28 language editions, a strong signal of global cultural recognition.[25] intersection is known by 53 alternative names across languages and contexts.[26]

Entities named for intersection include intersection graph[24].

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.
  14. [16] ↑ . wikidata.org.
  15. [17] ↑ . wikidata.org.
  16. [18] ↑ . wikidata.org.
  17. [19] ↑ . wikidata.org.
  18. [20] ↑ . wikidata.org.
  19. [21] ↑ . wikidata.org.
  20. [22] ↑ . wikidata.org.
  21. [23] ↑ . wikidata.org.

Inverse relationships (entities pointing at this one)

  1. [24] ↑ . wikidata.org. → on this site

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [25] ↑ . Wikidata sitelinks. wikidata.org.
  3. [26] ↑ . 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). intersection. Retrieved October 14, 2026, from https://4ort.xyz/entity/intersection-q185837-2
MLA “intersection.” 4ort.xyz Knowledge Graph, 4ort.xyz, 14 Oct. 2026, https://4ort.xyz/entity/intersection-q185837-2.
BibTeX @misc{4ortxyz_intersection-q185837-2_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{intersection}}, year = {2026}, url = {https://4ort.xyz/entity/intersection-q185837-2}, note = {Accessed: 2026-10-14}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): intersection — https://4ort.xyz/entity/intersection-q185837-2 (retrieved 2026-10-14)

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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. 6w ago · AddyLockPool · 2026-09-03 view diff on Wikidata ↗
    Depicted by → ∩
    Notation → ∩
    Local thumb → —
    Instance of → —
    + 12 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ Described by source: Mathwords"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.