countably infinite set

set with the same cardinality as the set of natural numbers
Thing type_of_set Q185478
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countably infinite set

Summary

countably infinite set is a type of set[1]. It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[2]

Key Facts

  • countably infinite set is credited with the discovery of Georg Cantor[3].
  • countably infinite set's instance of is recorded as type of set[4].
  • countably infinite set's subclass of is recorded as countable set[5].
  • countably infinite set's subclass of is recorded as infinite set[6].
  • countably infinite set's Commons category is recorded as Countable sets[7].
  • countably infinite set's Freebase ID is recorded as /m/01t8j[8].
  • countably infinite set's Gran Enciclopèdia Catalana ID is recorded as 0267908[9].
  • countably infinite set's Encyclopædia Britannica Online ID is recorded as topic/countable-set[10].
  • countably infinite set's different from is recorded as countable set[11].
  • countably infinite set's studied by is recorded as discrete mathematics[12].
  • countably infinite set's studied by is recorded as set theory[13].
  • countably infinite set's MathWorld ID is recorded as CountablyInfinite[14].
  • countably infinite set's MathWorld ID is recorded as DenumerableSet[15].
  • countably infinite set's set cardinality is recorded as aleph null[16].
  • countably infinite set's Treccani ID is recorded as insieme-numerabile[17].
  • countably infinite set's less than is recorded as uncountable set[18].
  • countably infinite set's maintained by WikiProject is recorded as WikiProject Mathematics[19].
  • countably infinite set's Microsoft Academic ID is recorded as 110729354[20].
  • countably infinite set's ProofWiki ID is recorded as Definition:Countably_Infinite[21].
  • countably infinite set's Online PWN Encyclopedia ID is recorded as 3963442[22].
  • countably infinite set's Lex ID is recorded as numerabel_mængde[23].
  • countably infinite set's OpenAlex ID is recorded as C110729354[24].
  • countably infinite set's Gran Enciclopèdia Catalana ID is recorded as conjunt-numerable[25].

Body

Works and Contributions

countably infinite set is credited with the discovery of Georg Cantor[3].

Why It Matters

countably infinite set has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[2] It is known by 66 alternative names across languages and contexts.[26]

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] . Freebase Data Dumps. 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] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  23. [25] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikidata sitelinks. wikidata.org.
  2. [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). countably infinite set. Retrieved May 3, 2026, from https://4ort.xyz/entity/countably-infinite-set
MLA “countably infinite set.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/countably-infinite-set.
BibTeX @misc{4ortxyz_countably-infinite-set_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{countably infinite set}}, year = {2026}, url = {https://4ort.xyz/entity/countably-infinite-set}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): countably infinite set — https://4ort.xyz/entity/countably-infinite-set (retrieved 2026-05-03)

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