empty set

set (in mathematics) containing no elements
Thing set Q226183
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empty set

Summary

empty set is a set[1]. It draws 6,481 Wikipedia views per month (set category, ranking #4 of 16).[2]

Key Facts

  • empty set's instance of is recorded as set[3].
  • empty set's instance of is recorded as open set[4].
  • empty set's instance of is recorded as closed set[5].
  • empty set's instance of is recorded as null set[6].
  • empty set's instance of is recorded as 0-ad[7].
  • empty set's instance of is recorded as finite set[8].
  • empty set is part of list of types of sets[9].
  • empty set's said to be the same as is recorded as 0-ad[10].
  • empty set is the opposite of non-empty set[11].
  • empty set's notation is recorded as null sign[12].
  • empty set's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[13].
  • empty set's described by source is recorded as Q140169500[14].
  • empty set's different from is recorded as Ø[15].
  • empty set's different from is recorded as singleton of 0[16].
  • empty set's different from is recorded as null set[17].
  • empty set's TeX string is recorded as \empty[18].
  • empty set's TeX string is recorded as \emptyset[19].
  • empty set's TeX string is recorded as \varnothing[20].
  • empty set's set cardinality is recorded as zero[21].
  • empty set's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[22].
  • empty set's maintained by WikiProject is recorded as WikiProject Mathematics[23].

Body

Definition and Type

Recorded instance of include set[3], open set[4], closed set[5], null set[6], 0-ad[7], and finite set[8]. empty set is the opposite of non-It[11].

Use and Application

empty set is part of list of types of sets[9].

Why It Matters

empty set draws 6,481 Wikipedia views per month (set category, ranking #4 of 16).[2] It has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.[24] It is known by 50 alternative names across languages and contexts.[25]

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.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [24] ↑ . Wikidata sitelinks. wikidata.org.
  3. [25] ↑ . 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). empty set. Retrieved October 2, 2026, from https://4ort.xyz/entity/empty-set
MLA “empty set.” 4ort.xyz Knowledge Graph, 4ort.xyz, 2 Oct. 2026, https://4ort.xyz/entity/empty-set.
BibTeX @misc{4ortxyz_empty-set_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{empty set}}, year = {2026}, url = {https://4ort.xyz/entity/empty-set}, note = {Accessed: 2026-10-02}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): empty set — https://4ort.xyz/entity/empty-set (retrieved 2026-10-02)

Canonical URL: https://4ort.xyz/entity/empty-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. 4w ago · AddyLockPool · 2026-09-03 view diff on Wikidata ↗
    Described by source → ISO 80000-2:2019 Quantities and units — Part 2: Mathematics, Q140169500
    "/* wbsetclaim-create:2||1 */ [[Property:P1343]]: [[Q140169500]]"
  2. 7w ago · KrBot bot · 2026-08-09 view diff on Wikidata ↗
    Notation → null sign
    "/* wbsetclaimvalue:1| */ [[Property:P913]]: [[Q7068971]], разрешение перенаправления / resolving redirect [[Q87524418]] → [[Q7068971]] ([[:toollabs:editgroups/b/KrBotResolvingRedirect/Q87524418_Q70689"
  3. 11w ago · 𐨬𐨌𐨯𐨂𐨡𐨅𐨬 · 2026-07-16 view diff on Wikidata ↗
    Said to be the same as → 0-ad
    Instance of → set, open set, closed set +3
    Set cardinality → zero
    Different from → Ø, singleton of 0, null set
    + 11 other properties edited (see Wikidata diff for full list)
    "/* wbremoveclaims-remove:1| */ [[Property:P373]]: Nested set V4"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.