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mathematical induction

form of mathematical proof
Thing proof_technique Q178377
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mathematical induction

Summary

mathematical induction is a proof technique[1]. It draws 2,023 Wikipedia views per month (proof_technique category, ranking #1 of 7).[2]

Key Facts

  • mathematical induction is credited with the discovery of Francesco Maurolico[3].
  • mathematical induction is credited with the discovery of Euclid[4].
  • mathematical induction is credited with the discovery of Bhāskara II[5].
  • mathematical induction is credited with the discovery of Jacob Bernoulli[6].
  • mathematical induction is credited with the discovery of Blaise Pascal[7].
  • mathematical induction is credited with the discovery of Pierre de Fermat[8].
  • mathematical induction's instance of is recorded as proof technique[9].
  • mathematical induction is a type of well-founded induction[10].
  • mathematical induction is part of Q114737629[11].
  • mathematical induction's Commons category is recorded as Induction (mathematics)[12].
  • mathematical induction's said to be the same as is recorded as mathematical induction[13].
  • mathematical induction comprises base case[14].
  • mathematical induction comprises inductive step[15].
  • mathematical induction comprises induction hypothesis[16].
  • mathematical induction's has cause is recorded as principle of mathematical induction[17].
  • mathematical induction's topic's main category is recorded as Category:Mathematical induction[18].
  • mathematical induction's described by source is recorded as The Art of Computer Programming, Volume 1: Fundamental Algorithms, 3rd edition[19].
  • mathematical induction's described by source is recorded as Otto's encyclopedia[20].
  • mathematical induction's described by source is recorded as Great Soviet Encyclopedia (1926–1947)[21].
  • mathematical induction's different from is recorded as inductive reasoning[22].
  • mathematical induction's different from is recorded as magnetic flux density[23].
  • mathematical induction's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[24].
  • mathematical induction's maintained by WikiProject is recorded as WikiProject Mathematics[25].

Body

Definition and Type

mathematical induction's instance of is recorded as proof technique[9]. It is a type of well-founded induction[10].

Use and Application

Components include base case[14], inductive step[15], and induction hypothesis[16]. mathematical induction is part of Q114737629[11].

Why It Matters

mathematical induction draws 2,023 Wikipedia views per month (proof_technique category, ranking #1 of 7).[2] It has Wikipedia articles in 29 language editions, a strong signal of global cultural recognition.[26] It is known by 62 alternative names across languages and contexts.[27]

Related Entities

Bhāskara II Blaise Pascal Euclid Jacob Bernoulli Pierre de Fermat Plato

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [9] ↑ . wikidata.org.
  2. [3] ↑ . Fermat's method of Infinite Descent. wikidata.org.
  3. [4] ↑ . Origin of the Name "Mathematical Induction". wikidata.org.
  4. [5] ↑ . Origin of the Name "Mathematical Induction". wikidata.org.
  5. [6] ↑ . Origin of the Name "Mathematical Induction". wikidata.org.
  6. [7] ↑ . Origin of the Name "Mathematical Induction". wikidata.org.
  7. [8] ↑ . Origin of the Name "Mathematical Induction". wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . wikidata.org.
  12. [14] ↑ . Insiemi, numeri e polinomi. encyclopediaofmath.org. Provenance: wikidata.org.
  13. [15] ↑ . Insiemi, numeri e polinomi. encyclopediaofmath.org. Provenance: wikidata.org.
  14. [16] ↑ . Insiemi, numeri e polinomi. encyclopediaofmath.org. Provenance: wikidata.org.
  15. [17] ↑ . Insiemi, numeri e polinomi. wikidata.org.
  16. [18] ↑ . wikidata.org.
  17. [19] ↑ . wikidata.org.
  18. [20] ↑ . wikidata.org.
  19. [21] ↑ . wikidata.org.
  20. [22] ↑ . wikidata.org.
  21. [23] ↑ . wikidata.org.
  22. [24] ↑ . wikidata.org.
  23. [25] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [26] ↑ . Wikidata sitelinks. wikidata.org.
  3. [27] ↑ . Wikidata aliases. wikidata.org.

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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. 5d ago · Twofivesixbot bot · 2026-05-24 view diff on Wikidata ↗
    Instance of → proof technique
    Part of → Q114737629
    Maintained by wikiproject → WikiProject Mathematics
    On focus list of wikimedia project → Wikipedia:Vital articles/Level/4
    + 14 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|2 */ [[Property:P8189]]: 987007548367405171, mv to monolingual text names on J9U statements"
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