axiom of union

axiom stating that for any set x there is a set y whose elements are precisely the elements of the elements of x
Thing axiom Q1987722
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axiom of union

Summary

axiom of union is an axiom[1]. It draws 35 Wikipedia views per month (axiom category, ranking #11 of 21).[2]

Key Facts

  • axiom of union is credited with the discovery of Ernst Zermelo[3].
  • axiom of union's instance of is recorded as axiom[4].
  • axiom of union's part of is recorded as list of axioms[5].
  • axiom of union's Freebase ID is recorded as /m/0dtgx[6].
  • axiom of union's Encyclopædia Britannica Online ID is recorded as topic/axiom-of-union[7].
  • axiom of union's defining formula is recorded as \forall A\, \exists B\, \forall c\, (c \in B \iff \exists D\, (c \in D \and D \in A)\,)[8].
  • axiom of union's studied by is recorded as Zermelo–Fraenkel set theory[9].
  • axiom of union's MathWorld ID is recorded as AxiomoftheSumSet[10].
  • axiom of union's nLab ID is recorded as axiom of union[11].
  • axiom of union's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • axiom of union's Microsoft Academic ID is recorded as 2779821532[13].
  • axiom of union's ProofWiki ID is recorded as Axiom:Axiom_of_Unions[14].
  • axiom of union's Metamath statement ID is recorded as ax-un[15].

Body

Works and Contributions

axiom of union is credited with the discovery of Ernst Zermelo[3].

Why It Matters

axiom of union draws 35 Wikipedia views per month (axiom category, ranking #11 of 21).[2] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[16] It is known by 4 alternative names across languages and contexts.[17]

References

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

Direct Wikidata claims

  1. [4] . wikidata.org.
  2. [3] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . Freebase Data Dumps. 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). axiom of union. Retrieved May 3, 2026, from https://4ort.xyz/entity/axiom-of-union
MLA “axiom of union.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/axiom-of-union.
BibTeX @misc{4ortxyz_axiom-of-union_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{axiom of union}}, year = {2026}, url = {https://4ort.xyz/entity/axiom-of-union}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): axiom of union — https://4ort.xyz/entity/axiom-of-union (retrieved 2026-05-03)

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