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Cantor's theorem

in set theory, the theorem that a set has a strictly smaller cardinality than its powerset
Intangible theorem Q474881
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Cantor's theorem

Summary

Cantor's theorem is a theorem[1]. It ranks in the top 9% of theorem entities by monthly Wikipedia readership (301 views/month).[2]

Key Facts

  • Cantor's theorem's video is recorded as Множества.webm[3].
  • Cantor's theorem's instance of is recorded as theorem[4].
  • Georg Cantor is named after Cantor's theorem[5].
  • Cantor's theorem's part of is recorded as list of theorems[6].
  • Cantor's theorem's Commons category is recorded as Cantor's theorem[7].
  • Cantor's theorem's Freebase ID is recorded as /m/01y3_b[8].
  • Cantor's theorem's Gran Enciclopèdia Catalana ID is recorded as 0014500[9].
  • Cantor's theorem's Encyclopædia Britannica Online ID is recorded as topic/Cantors-theorem[10].
  • Cantor's theorem's different from is recorded as Cantor's theorem[11].
  • Cantor's theorem's uses is recorded as Cantor's diagonal argument[12].
  • Cantor's theorem's studied by is recorded as set theory[13].
  • Cantor's theorem's MathWorld ID is recorded as CantorsTheorem[14].
  • Cantor's theorem's Great Russian Encyclopedia Online ID is recorded as 2042387[15].
  • Cantor's theorem's JSTOR topic ID is recorded as cantors-theorem[16].
  • Cantor's theorem's nLab ID is recorded as Cantor's theorem[17].
  • Cantor's theorem's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[18].
  • Cantor's theorem's Larousse ID is recorded as divers/théorème_de_Cantor/30449[19].
  • Cantor's theorem's maintained by WikiProject is recorded as WikiProject Mathematics[20].
  • Cantor's theorem's Microsoft Academic ID is recorded as 9595713[21].
  • Cantor's theorem's ProofWiki ID is recorded as Cantor's_Theorem[22].
  • Cantor's theorem's Visuotinė lietuvių enciklopedija ID is recorded as cantoro-teorema[23].
  • Cantor's theorem's Treccani's Enciclopedia della Matematica ID is recorded as teorema-di-cantor[24].
  • Cantor's theorem's Gran Enciclopèdia Catalana ID is recorded as teorema-de-cantor[25].
  • Cantor's theorem's Metamath statement ID is recorded as canth[26].

Why It Matters

Cantor's theorem ranks in the top 9% of theorem entities by monthly Wikipedia readership (301 views/month).[2] It has Wikipedia articles in 27 language editions, a strong signal of global cultural recognition.[27] It is known by 9 alternative names across languages and contexts.[28]

Related Entities

Georg Cantor

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] ↑ . Freebase Data Dumps. wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . Retrieved . 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.
  23. [25] ↑ . wikidata.org.
  24. [26] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [27] ↑ . Wikidata sitelinks. wikidata.org.
  3. [28] ↑ . 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). Cantor's theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/cantor-s-theorem
MLA “Cantor's theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/cantor-s-theorem.
BibTeX @misc{4ortxyz_cantor-s-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Cantor's theorem}}, year = {2026}, url = {https://4ort.xyz/entity/cantor-s-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Cantor's theorem — https://4ort.xyz/entity/cantor-s-theorem (retrieved 2026-05-03)

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