Peano arithmetic

axiomatic theory of the arithmetic of nonnegative integers
Intangible theory Q49938
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Peano arithmetic

Summary

Peano arithmetic is a theory[1]. It draws 114 Wikipedia views per month (theory category, ranking #133 of 323).[2]

Key Facts

  • Peano arithmetic's instance of is recorded as theory[3].
  • Peano arithmetic's subclass of is recorded as arithmetic[4].
  • Peano arithmetic's NL CR AUT ID is recorded as ph468053[5].
  • Peano arithmetic's Stack Exchange tag is recorded as https://proofassistants.stackexchange.com/tags/peano-arithmetic[6].
  • Peano arithmetic's short name is recorded as {'lang': 'en', 'text': 'PA'}[7].
  • Peano arithmetic's uses is recorded as Peano axioms[8].
  • Peano arithmetic's Google Knowledge Graph ID is recorded as /g/122n5dnb[9].
  • Peano arithmetic's Google Knowledge Graph ID is recorded as /g/121v2d7_[10].
  • Peano arithmetic's MathWorld ID is recorded as PeanoArithmetic[11].
  • Peano arithmetic's nLab ID is recorded as Peano arithmetic[12].
  • Peano arithmetic's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • Peano arithmetic's does not have characteristic is recorded as decidability[14].
  • Peano arithmetic's Encyclopedia of China is recorded as 218527[15].

Why It Matters

Peano arithmetic draws 114 Wikipedia views per month (theory category, ranking #133 of 323).[2] It has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.[16] It is known by 6 alternative names across languages and contexts.[17]

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] . 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.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [16] . Wikidata sitelinks. wikidata.org.
  3. [17] . 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). Peano arithmetic. Retrieved May 3, 2026, from https://4ort.xyz/entity/peano-arithmetic
MLA “Peano arithmetic.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/peano-arithmetic.
BibTeX @misc{4ortxyz_peano-arithmetic_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Peano arithmetic}}, year = {2026}, url = {https://4ort.xyz/entity/peano-arithmetic}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Peano arithmetic — https://4ort.xyz/entity/peano-arithmetic (retrieved 2026-05-03)

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