Gödel's second incompleteness theorem

theorem that no formal system capable of basic arithmetic can prove its own consistency
Intangible theorem Q1031460
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Gödel's second incompleteness theorem

Summary

Gödel's second incompleteness theorem is a theorem[1].

Key Facts

  • Gödel's second incompleteness theorem's instance of is recorded as theorem[2].
  • Kurt Gödel is named after Gödel's second incompleteness theorem[3].
  • Gödel's second incompleteness theorem's part of is recorded as Gödel's incompleteness theorems[4].
  • Gödel's second incompleteness theorem's main subject is recorded as mathematical incompleteness[5].
  • Gödel's second incompleteness theorem's Encyclopædia Britannica Online ID is recorded as topic/Godels-second-incompleteness-theorem[6].
  • Gödel's second incompleteness theorem's studied by is recorded as proof theory[7].
  • Gödel's second incompleteness theorem's Google Knowledge Graph ID is recorded as /g/122vxtf1[8].
  • Gödel's second incompleteness theorem's MathWorld ID is recorded as GoedelsSecondIncompletenessTheorem[9].
  • Gödel's second incompleteness theorem's maintained by WikiProject is recorded as WikiProject Mathematics[10].

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APA 4ort.xyz Knowledge Graph. (2026). Gödel's second incompleteness theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/g-del-s-second-incompleteness-theorem
MLA “Gödel's second incompleteness theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/g-del-s-second-incompleteness-theorem.
BibTeX @misc{4ortxyz_g-del-s-second-incompleteness-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Gödel's second incompleteness theorem}}, year = {2026}, url = {https://4ort.xyz/entity/g-del-s-second-incompleteness-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Gödel's second incompleteness theorem — https://4ort.xyz/entity/g-del-s-second-incompleteness-theorem (retrieved 2026-05-03)

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