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principle of mathematical induction

mathematical axiom
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principle of mathematical induction

Summary

principle of mathematical induction is an axiom[1]. It draws 1 Wikipedia views per month (axiom category, ranking #21 of 21).[2]

Key Facts

  • principle of mathematical induction's instance of is recorded as axiom[3].
  • principle of mathematical induction's part of is recorded as Peano axioms[4].
  • principle of mathematical induction's has effect is recorded as mathematical induction[5].
  • principle of mathematical induction's defining formula is recorded as P(0)\land\forall x(P(x)\implies P(x+1))\implies\forall xP(x)[6].
  • principle of mathematical induction's MathWorld ID is recorded as PrincipleofMathematicalInduction[7].
  • principle of mathematical induction's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • principle of mathematical induction's ProofWiki ID is recorded as Principle_of_Mathematical_Induction[9].
  • principle of mathematical induction's Encyclopedia of Mathematics article ID is recorded as Induction_axiom[10].

Why It Matters

principle of mathematical induction draws 1 Wikipedia views per month (axiom category, ranking #21 of 21).[2]

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] ↑ . Insiemi, numeri e polinomi. wikidata.org.
  4. [6] ↑ . Encyclopedia of Mathematics. encyclopediaofmath.org. Provenance: wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.

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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). principle of mathematical induction. Retrieved May 3, 2026, from https://4ort.xyz/entity/principle-of-mathematical-induction
MLA “principle of mathematical induction.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/principle-of-mathematical-induction.
BibTeX @misc{4ortxyz_principle-of-mathematical-induction_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{principle of mathematical induction}}, year = {2026}, url = {https://4ort.xyz/entity/principle-of-mathematical-induction}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): principle of mathematical induction — https://4ort.xyz/entity/principle-of-mathematical-induction (retrieved 2026-05-03)

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