Archimedean property

the absence of infinitesimals in a mathematical system
Thing axiom Q634579
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Archimedean property

Summary

Archimedean property is an axiom[1]. It draws 203 Wikipedia views per month (axiom category, ranking #3 of 21).[2]

Key Facts

  • Archimedean property is credited with the discovery of Eudoxus of Cnidus[3].
  • Archimedean property's instance of is recorded as axiom[4].
  • Archimedes is named after Archimedean property[5].
  • Archimedean property's depicts is recorded as set of non-negative integers[6].
  • Archimedean property's subclass of is recorded as property[7].
  • Archimedean property's Commons category is recorded as Archimedean property[8].
  • Archimedean property's Freebase ID is recorded as /m/01n4y1[9].
  • Archimedean property's Gran Enciclopèdia Catalana ID is recorded as 0005353[10].
  • Archimedean property's defining formula is recorded as nx>y, y>x>0, n\in \N[11].
  • Archimedean property's studied by is recorded as foundations of mathematics[12].
  • Archimedean property's BabelNet ID is recorded as 01997945n[13].
  • Archimedean property's named by is recorded as Otto Stolz[14].
  • Archimedean property's schematic is recorded as Archimedean property.png[15].
  • Archimedean property's maintained by WikiProject is recorded as WikiProject Mathematics[16].
  • Archimedean property's Microsoft Academic ID is recorded as 2780831473[17].
  • Archimedean property's Lex ID is recorded as Archimedes'_aksiom[18].
  • Archimedean property's Gran Enciclopèdia Catalana ID is recorded as postulat-darquimedes[19].
  • Archimedean property's Metamath statement ID is recorded as df-archi[20].

Body

Works and Contributions

Archimedean property is credited with the discovery of Eudoxus of Cnidus[3].

Why It Matters

Archimedean property draws 203 Wikipedia views per month (axiom category, ranking #3 of 21).[2] It has Wikipedia articles in 23 language editions, a strong signal of global cultural recognition.[21] It is known by 33 alternative names across languages and contexts.[22]

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] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . Freebase Data Dumps. wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . BabelNet. wikidata.org.
  12. [14] . Real Numbers, Generalizations of the Reals, and Theories of Continua. 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.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [21] . Wikidata sitelinks. wikidata.org.
  3. [22] . 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). Archimedean property. Retrieved May 3, 2026, from https://4ort.xyz/entity/archimedean-property
MLA “Archimedean property.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/archimedean-property.
BibTeX @misc{4ortxyz_archimedean-property_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Archimedean property}}, year = {2026}, url = {https://4ort.xyz/entity/archimedean-property}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Archimedean property — https://4ort.xyz/entity/archimedean-property (retrieved 2026-05-03)

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