axiomatic set theory

version of set theory in which axioms are taken as uninterpreted rather than as formalizations of pre-existing truths; defined using a formal logic
Thing set_theory Q904423
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axiomatic set theory

Summary

axiomatic set theory is a set theory[1]. It draws 3 Wikipedia views per month (set_theory category, ranking #4 of 5).[2]

Key Facts

  • axiomatic set theory's instance of is recorded as set theory[3].
  • axiomatic set theory's subclass of is recorded as axiomatic system[4].
  • axiomatic set theory's NDL Authority ID is recorded as 00566631[5].
  • axiomatic set theory's opposite of is recorded as naive set theory[6].
  • axiomatic set theory's topic's main category is recorded as Category:Systems of set theory[7].
  • axiomatic set theory's PSH ID is recorded as 7145[8].
  • axiomatic set theory's different from is recorded as axiom of set theory[9].
  • axiomatic set theory's Google Knowledge Graph ID is recorded as /g/1224bhbj[10].
  • axiomatic set theory's Google Knowledge Graph ID is recorded as /g/11clszl1zd[11].
  • axiomatic set theory's MathWorld ID is recorded as AxiomaticSetTheory[12].
  • axiomatic set theory's Great Russian Encyclopedia Online ID is recorded as 1807494[13].
  • axiomatic set theory's Quora topic ID is recorded as Axiomatic-Set-Theory[14].
  • axiomatic set theory's maintained by WikiProject is recorded as WikiProject Mathematics[15].
  • axiomatic set theory's ProofWiki ID is recorded as Definition:Axiomatic_Set_Theory[16].
  • axiomatic set theory's KBpedia ID is recorded as SystemsOfSetTheory[17].
  • axiomatic set theory's Encyclopedia of China is recorded as 204306[18].

Why It Matters

axiomatic set theory draws 3 Wikipedia views per month (set_theory category, ranking #4 of 5).[2] It has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[19] It is known by 11 alternative names across languages and contexts.[20]

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] . Quora. wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . KBpedia. Retrieved . wikidata.org.
  16. [18] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [19] . Wikidata sitelinks. wikidata.org.
  3. [20] . 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). axiomatic set theory. Retrieved May 3, 2026, from https://4ort.xyz/entity/axiomatic-set-theory
MLA “axiomatic set theory.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/axiomatic-set-theory.
BibTeX @misc{4ortxyz_axiomatic-set-theory_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{axiomatic set theory}}, year = {2026}, url = {https://4ort.xyz/entity/axiomatic-set-theory}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): axiomatic set theory — https://4ort.xyz/entity/axiomatic-set-theory (retrieved 2026-05-03)

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