Mathematical induction

Quality:

Mathematical induction - form of mathematical proof. Article “Mathematical induction” in English Wikipedia has 53 points for quality (as of July 1, 2026). The article contains 32 references and 22 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 2.79 points.

This article has the best quality in German Wikipedia. However, this article is the most popular in English version.

In June 2026 the article “Mathematical induction” was edited by 1 authors in English Wikipedia and written by 11 authors in all languages.

Since the creation of article “Mathematical induction”, its content was written by 415 registered users of English Wikipedia and edited by 1853 registered Wikipedia users in all languages.

The article is cited 468 times in English Wikipedia and cited 3367 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #1575 in November 2002
• Global: #819 in August 2003

The highest popularity rank from 2008:

• Local (English): #19196 in September 2014
• Global: #8020 in October 2009

There are 50 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2026 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

#	Language	Quality grade	Quality score
1	German (de) Vollständige Induktion		60.7527
2	Esperanto (eo) Matematika indukto		57.0088
3	English (en) Mathematical induction		53.0094
4	Thai (th) การอุปนัยเชิงคณิตศาสตร์		48.2794
5	Indonesian (id) Induksi matematika		40.4479
6	French (fr) Raisonnement par récurrence		39.7869
7	Tamil (ta) கணிதத் தொகுத்தறிதல்		34.8778
8	Chinese (zh) 数学归纳法		34.3215
9	Hebrew (he) אינדוקציה מתמטית		31.0473
10	Persian (fa) استقرای ریاضی		29.7581

The following table shows the most popular language versions of the article.

#	Language	Popularity award	Relative popularity
1	English (en) Mathematical induction		5 353 355
2	German (de) Vollständige Induktion		2 053 470
3	Spanish (es) Inducción matemática		1 289 089
4	French (fr) Raisonnement par récurrence		909 043
5	Japanese (ja) 数学的帰納法		868 880
6	Russian (ru) Математическая индукция		857 814
7	Chinese (zh) 数学归纳法		570 634
8	Italian (it) Principio d'induzione		464 839
9	Polish (pl) Indukcja matematyczna		456 607
10	Portuguese (pt) Indução matemática		391 154

The following table shows the language versions of the article with the highest popularity in the last month.

#	Language	Popularity award	Relative popularity
1	English (en) Mathematical induction		7 511
2	German (de) Vollständige Induktion		1 851
3	French (fr) Raisonnement par récurrence		1 446
4	Japanese (ja) 数学的帰納法		1 283
5	Chinese (zh) 数学归纳法		971
6	Russian (ru) Математическая индукция		867
7	Spanish (es) Inducción matemática		610
8	Polish (pl) Indukcja matematyczna		446
9	Italian (it) Principio d'induzione		395
10	Portuguese (pt) Indução matemática		299

The following table shows the language versions of the article with the highest Authors’ Interest.

#	Language	AI award	Relative AI
1	English (en) Mathematical induction		415
2	German (de) Vollständige Induktion		235
3	French (fr) Raisonnement par récurrence		124
4	Spanish (es) Inducción matemática		92
5	Russian (ru) Математическая индукция		79
6	Italian (it) Principio d'induzione		78
7	Hebrew (he) אינדוקציה מתמטית		74
8	Japanese (ja) 数学的帰納法		70
9	Chinese (zh) 数学归纳法		55
10	Polish (pl) Indukcja matematyczna		51

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

#	Language	AI award	Relative AI
1	Spanish (es) Inducción matemática		2
2	Norwegian (no) Matematisk induksjon		2
3	Arabic (ar) استقراء رياضي		1
4	Azerbaijani (az) Riyazi induksiya		1
5	Catalan (ca) Demostració per inducció		1
6	German (de) Vollständige Induktion		1
7	English (en) Mathematical induction		1
8	Basque (eu) Indukzio matematiko		1
9	Serbian (sr) Математичка индукција		1
10	Belarusian (be) Матэматычная індукцыя		0

The following table shows the language versions of the article with the highest number of citations.

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In English Wikipedia the most popular articles on that day were: 2026 FIFA World Cup, Harry Kane, Julián Quiñones, List of FIFA World Cup top goalscorers, Kylian Mbappé, Democratic Republic of the Congo, Erling Haaland, DR Congo national football team, Melat Kiros, FIFA World Cup.

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information