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axiom

statement of a theory that is taken to be true
Intangible mathematical_concept Q17736
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Summary

axiom is a mathematical concept[1]. axiom ranks in the top 1% of mathematical concept entities by monthly Wikipedia readership (9,608 views/month).[2]

Key Facts

  • Subclass of: postulate[3], first principle[4], lemma[5]
  • Part of: axiomatic system[6]
  • Said to be the same as: postulate[7]
  • Statement is subject of: Q104877718[8]
  • Topic's main category: Category:Mathematical axioms[9]
  • Described by source: Granat Encyclopedic Dictionary[10], Kościelna encyclopedia[11], Brockhaus and Efron Encyclopedic Dictionary[12], Small Brockhaus and Efron Encyclopedic Dictionary[13], Encyclopædia Britannica 11th edition[14], Slovník naučný[15], Armenian Soviet Encyclopedia, vol. 9[16], Otto's encyclopedia[17], Mathwords[18]
  • Stack Exchange tag: https://proofassistants.stackexchange.com/tags/axioms[19]
  • Used by: mathematical proof[20]
  • Different from: axion[21]
  • On focus list of Wikimedia project: Wikipedia:Vital articles/Level/4[22]
  • Maintained by WikiProject: WikiProject Mathematics[23]

Why It Matters

axiom has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.[24] axiom is known by 44 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). axiom. Retrieved October 14, 2026, from https://4ort.xyz/entity/axiom
MLA “axiom.” 4ort.xyz Knowledge Graph, 4ort.xyz, 14 Oct. 2026, https://4ort.xyz/entity/axiom.
BibTeX @misc{4ortxyz_axiom_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{axiom}}, year = {2026}, url = {https://4ort.xyz/entity/axiom}, note = {Accessed: 2026-10-14}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): axiom — https://4ort.xyz/entity/axiom (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. 27d ago · AddyLockPool · 2026-09-19 view diff on Wikidata ↗
    Described by source → Granat Encyclopedic Dictionary, Kościelna encyclopedia, Brockhaus and Efron Encyclopedic Dictionary +7
    "/* wbsetclaim-create:2||1 */ Described by source: Mathwords"
  2. 21w ago · Twofivesixbot bot · 2026-05-18 view diff on Wikidata ↗
    Part of → axiomatic system
    Instance of → —
    Different from → axion
    Great russian encyclopedia online id (2017) → 1807466
    + 14 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|4 */ Yso id: 15253, mv to monolingual text names on YSO statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.