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axiom of countability

property of certain mathematical objects (usually in a category) that asserts the existence of a countable set with certain properties. Without such an axiom, such a set might not probably exist.
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axiom of countability

Summary

axiom of countability ranks in the top 2% of general entities by monthly Wikipedia readership (10 views/month).[1]

Key Facts

  • axiom of countability's subclass of is recorded as design requirement[2].
  • axiom of countability's part of is recorded as list of axioms[3].
  • axiom of countability's Freebase ID is recorded as /m/01ysjn[4].
  • axiom of countability's Microsoft Academic ID is recorded as 2776378506[5].

Why It Matters

axiom of countability ranks in the top 2% of general entities by monthly Wikipedia readership (10 views/month).[1] It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[6] It is known by 21 alternative names across languages and contexts.[7]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . Freebase Data Dumps. wikidata.org.
  4. [5] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [6] ↑ . Wikidata sitelinks. wikidata.org.
  3. [7] ↑ . 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 countability. Retrieved April 10, 2026, from https://4ort.xyz/entity/axiom-of-countability
MLA “axiom of countability.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/axiom-of-countability.
BibTeX @misc{4ortxyz_axiom-of-countability_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{axiom of countability}}, year = {2026}, url = {https://4ort.xyz/entity/axiom-of-countability}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): axiom of countability — https://4ort.xyz/entity/axiom-of-countability (retrieved 2026-04-10)

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