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Burali-Forti paradox

paradox demonstrating that the class of all ordinal numbers Ω cannot be a set, since if it were, it would be an ordinal, thus an element of itself, and thus less than itself, which is a contradiction
Thing paradox Q1010269
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Burali-Forti paradox

Summary

Burali-Forti paradox is a paradox[1]. It draws 323 Wikipedia views per month (paradox category, ranking #52 of 104).[2]

Key Facts

  • Burali-Forti paradox's instance of is recorded as paradox[3].
  • Cesare Burali-Forti is named after Burali-Forti paradox[4].
  • Burali-Forti paradox was released on March 28, 1897[5].
  • Burali-Forti paradox's studied by is recorded as naive set theory[6].
  • Burali-Forti paradox's maintained by WikiProject is recorded as WikiProject Mathematics[7].

Body

Definition and Type

Burali-Forti paradox's instance of is recorded as paradox[3].

Origins

Cesare Burali-Forti is named after Burali-Forti paradox[4].

Why It Matters

Burali-Forti paradox draws 323 Wikipedia views per month (paradox category, ranking #52 of 104).[2] It has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.[8] It is known by 10 alternative names across languages and contexts.[9]

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.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [8] ↑ . Wikidata sitelinks. wikidata.org.
  3. [9] ↑ . 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). Burali-Forti paradox. Retrieved May 3, 2026, from https://4ort.xyz/entity/burali-forti-paradox
MLA “Burali-Forti paradox.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/burali-forti-paradox.
BibTeX @misc{4ortxyz_burali-forti-paradox_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Burali-Forti paradox}}, year = {2026}, url = {https://4ort.xyz/entity/burali-forti-paradox}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Burali-Forti paradox — https://4ort.xyz/entity/burali-forti-paradox (retrieved 2026-05-03)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 1d ago · Ferran Mir · 2026-06-06 view diff on Wikidata ↗
    Maintained by wikiproject → WikiProject Mathematics
    Named after → Cesare Burali-Forti
    Studied by → naive set theory
    Aliases → —
    + 5 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ [[Property:P31]]: [[Q24034552]]"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.