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axiom of pairing

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Thing axiom_of_set_theory Q920796
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axiom of pairing

Summary

axiom of pairing is an axiom of set theory[1]. It draws 51 Wikipedia views per month (axiom_of_set_theory category, ranking #8 of 17).[2]

Key Facts

  • axiom of pairing's instance of is recorded as axiom of set theory[3].
  • axiom of pairing's part of is recorded as list of axioms[4].
  • axiom of pairing's Freebase ID is recorded as /m/0ds1d[5].
  • axiom of pairing's Encyclopædia Britannica Online ID is recorded as topic/axiom-of-pairing[6].
  • axiom of pairing's defining formula is recorded as \forall A \, \forall B \, \exists C \, \forall D \, [ D \in C \iff (D = A \or D = B)][7].
  • axiom of pairing's studied by is recorded as Zermelo–Fraenkel set theory[8].
  • axiom of pairing's MathWorld ID is recorded as AxiomoftheUnorderedPair[9].
  • axiom of pairing's nLab ID is recorded as axiom of pairing[10].
  • axiom of pairing's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • axiom of pairing's Microsoft Academic ID is recorded as 2776439378[12].
  • axiom of pairing's ProofWiki ID is recorded as Axiom:Axiom_of_Pairing[13].

Why It Matters

axiom of pairing draws 51 Wikipedia views per month (axiom_of_set_theory category, ranking #8 of 17).[2] It has Wikipedia articles in 14 language editions, a strong signal of global cultural recognition.[14] It is known by 5 alternative names across languages and contexts.[15]

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] ↑ . Freebase Data Dumps. 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.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [14] ↑ . Wikidata sitelinks. wikidata.org.
  3. [15] ↑ . 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 pairing. Retrieved May 3, 2026, from https://4ort.xyz/entity/axiom-of-pairing
MLA “axiom of pairing.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/axiom-of-pairing.
BibTeX @misc{4ortxyz_axiom-of-pairing_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{axiom of pairing}}, year = {2026}, url = {https://4ort.xyz/entity/axiom-of-pairing}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): axiom of pairing — https://4ort.xyz/entity/axiom-of-pairing (retrieved 2026-05-03)

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