Paris–Harrington theorem

certain principle in Ramsey theory is true, but not provable in Peano arithmetic
Intangible theorem Q7137494
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Paris–Harrington theorem

Summary

Paris–Harrington theorem is a theorem[1]. It draws 199 Wikipedia views per month (theorem category, ranking #223 of 1,306).[2]

Key Facts

  • Paris–Harrington theorem's instance of is recorded as theorem[3].
  • Jeff Paris is named after Paris–Harrington theorem[4].
  • Leo Harrington is named after Paris–Harrington theorem[5].
  • Paris–Harrington theorem is part of list of theorems[6].
  • Paris–Harrington theorem's maintained by WikiProject is recorded as WikiProject Mathematics[7].

Body

Definition and Type

Paris–Harrington theorem's instance of is recorded as theorem[3].

Origins

Things named after include Jeff Paris[4], a mathematician[8], b. 1944[9], of United Kingdom[10], awarded the Whitehead Prize[11], specialised in mathematical logic[12] and Leo Harrington[5], a mathematician[13], b. 1946[14], of United States[15], awarded the Gödel Lecturer[16], specialised in model theory[17].

Use and Application

Paris–Harrington theorem is part of list of theorems[6].

Why It Matters

Paris–Harrington theorem draws 199 Wikipedia views per month (theorem category, ranking #223 of 1,306).[2] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[18] It is known by 3 alternative names across languages and contexts.[19]

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.

Inline context (facts about related entities)

  1. [8] . Wikidata. wikidata.org. → on this site
  2. [9] . Wikidata. wikidata.org. → on this site
  3. [10] . Wikidata. wikidata.org. → on this site
  4. [11] . Wikidata. wikidata.org. → on this site
  5. [12] . Wikidata. wikidata.org. → on this site
  6. [13] . Wikidata. wikidata.org. → on this site
  7. [14] . Wikidata. wikidata.org. → on this site
  8. [15] . Wikidata. wikidata.org. → on this site
  9. [16] . Wikidata. wikidata.org. → on this site
  10. [17] . Wikidata. wikidata.org. → on this site

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [18] . Wikidata sitelinks. wikidata.org.
  3. [19] . 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). Paris–Harrington theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/paris-harrington-theorem
MLA “Paris–Harrington theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/paris-harrington-theorem.
BibTeX @misc{4ortxyz_paris-harrington-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Paris–Harrington theorem}}, year = {2026}, url = {https://4ort.xyz/entity/paris-harrington-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Paris–Harrington theorem — https://4ort.xyz/entity/paris-harrington-theorem (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. 18d ago · Yirba · 2026-05-14 view diff on Wikidata ↗
    Instance of
    Aliases
    Part of
    P14434 Q49938
    + 5 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ [[Property:P14434]]: [[Q49938]]"
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