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axiom

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

Summary

axiom is a mathematical concept[1]. axiom ranks in the top 1% of mathematical_concept entities by monthly Wikipedia readership (947 views/month).[2]

Key Facts

  • axiom's instance of is recorded as mathematical concept[3].
  • axiom is a type of postulate[4].
  • axiom is a type of first principle[5].
  • axiom is a type of lemma[6].
  • axiom is part of axiomatic system[7].
  • axiom's said to be the same as is recorded as postulate[8].
  • axiom's statement is subject of is recorded as Q104877718[9].
  • axiom's topic's main category is recorded as Category:Mathematical axioms[10].
  • axiom's described by source is recorded as Granat Encyclopedic Dictionary[11].
  • axiom's described by source is recorded as Kościelna encyclopedia[12].
  • axiom's described by source is recorded as Brockhaus and Efron Encyclopedic Dictionary[13].
  • axiom's described by source is recorded as Small Brockhaus and Efron Encyclopedic Dictionary[14].
  • axiom's described by source is recorded as Encyclopædia Britannica 11th edition[15].
  • axiom's described by source is recorded as Q12049440[16].
  • axiom's described by source is recorded as Granat Encyclopedic Dictionary[17].
  • axiom's described by source is recorded as Armenian Soviet Encyclopedia, vol. 9[18].
  • axiom's described by source is recorded as Otto's encyclopedia[19].
  • axiom's Stack Exchange tag is recorded as https://proofassistants.stackexchange.com/tags/axioms[20].
  • axiom's used by is recorded as mathematical proof[21].
  • axiom's different from is recorded as axion[22].
  • axiom's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[23].
  • axiom's maintained by WikiProject is recorded as WikiProject Mathematics[24].

Body

Definition and Type

axiom's instance of is recorded as mathematical concept[3]. Recorded subclass of include postulate[4], first principle[5], and lemma[6].

Use and Application

axiom is part of axiomatic system[7]. axiom's used by is recorded as mathematical proof[21].

Why It Matters

axiom ranks in the top 1% of mathematical_concept entities by monthly Wikipedia readership (947 views/month).[2] axiom has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.[25] axiom is known by 22 alternative names across languages and contexts.[26]

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.
  22. [24] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [25] ↑ . Wikidata sitelinks. wikidata.org.
  3. [26] ↑ . 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 May 3, 2026, from https://4ort.xyz/entity/axiom
MLA “axiom.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 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: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): axiom — https://4ort.xyz/entity/axiom (retrieved 2026-05-03)

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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. 3d 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 */ [[Property:P2347]]: 15253, mv to monolingual text names on YSO statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.