aleph null

cardinal of the set of all natural numbers, and more generally of any well-ordered and countable infinite set
Thing transfinite_number Q1445491
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aleph null

Summary

aleph null is a transfinite number[1]. It draws 36 Wikipedia views per month (transfinite_number category, ranking #1 of 1).[2]

Key Facts

  • aleph null is credited with the discovery of Georg Cantor[3].
  • aleph null's instance of is recorded as transfinite number[4].
  • aleph null's instance of is recorded as cardinal number[5].
  • aleph null's instance of is recorded as aleph number[6].
  • aleph null's followed by is recorded as aleph one[7].
  • aleph null's followed by is recorded as cardinality of the continuum[8].
  • aleph null's said to be the same as is recorded as set of non-negative integers[9].
  • aleph null's said to be the same as is recorded as beth null[10].
  • aleph null's Encyclopædia Britannica Online ID is recorded as topic/aleph-null[11].
  • aleph null's different from is recorded as ω[12].
  • aleph null's studied by is recorded as set theory[13].
  • aleph null's Google Knowledge Graph ID is recorded as /g/121qgjwy[14].
  • aleph null's MathWorld ID is recorded as Aleph-0[15].
  • aleph null's maintained by WikiProject is recorded as WikiProject Mathematics[16].
  • aleph null's ProofWiki ID is recorded as Definition:Aleph-Null[17].
  • aleph null's counts is recorded as countably infinite set[18].

Body

Works and Contributions

aleph null is credited with the discovery of Georg Cantor[3].

Why It Matters

aleph null draws 36 Wikipedia views per month (transfinite_number category, ranking #1 of 1).[2] It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[19] It is known by 60 alternative names across languages and contexts.[20]

References

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

Direct Wikidata claims

  1. [4] ↑ . wikidata.org.
  2. [5] ↑ . wikidata.org.
  3. [6] ↑ . wikidata.org.
  4. [3] ↑ . jeff560.tripod.com. jeff560.tripod.com. Provenance: wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . books.google.de. books.google.de. Provenance: 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.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [19] ↑ . Wikidata sitelinks. wikidata.org.
  3. [20] ↑ . 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). aleph null. Retrieved October 1, 2026, from https://4ort.xyz/entity/aleph-null
MLA “aleph null.” 4ort.xyz Knowledge Graph, 4ort.xyz, 1 Oct. 2026, https://4ort.xyz/entity/aleph-null.
BibTeX @misc{4ortxyz_aleph-null_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{aleph null}}, year = {2026}, url = {https://4ort.xyz/entity/aleph-null}, note = {Accessed: 2026-10-01}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): aleph null — https://4ort.xyz/entity/aleph-null (retrieved 2026-10-01)

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