Transfinite induction

en

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Transfinite induction

Quality:

Transfinite induction - method of proving that a certain property applies for all elements in a well-founded set. Article "Transfinite induction" in English Wikipedia has 23.7 points for quality (as of July 1, 2025). The article contains 4 references and 7 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

Since the creation of article "Transfinite induction", its content was written by 75 registered users of English Wikipedia and edited by 364 registered Wikipedia users in all languages.

The article is cited 214 times in English Wikipedia and cited 975 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #2770 in September 2001
  • Global: #3050 in September 2001

The highest popularity rank from 2008:

  • Local (English): #269569 in November 2010
  • Global: #262465 in November 2010

There are 21 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, 2025 (including revision history and pageviews for previous years).

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

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Transfinite induction
23.7065
2Kazakh (kk)
Трансфинит индукция
21.3806
3French (fr)
Récurrence transfinie
18.4726
4Polish (pl)
Indukcja pozaskończona
15.5661
5German (de)
Transfinite Induktion
13.0966
6Chinese (zh)
超限归纳法
11.8304
7Vietnamese (vi)
Quy nạp siêu hạn
11.6731
8Japanese (ja)
超限帰納法
10.8731
9Hebrew (he)
אינדוקציה טרנספיניטית
9.1655
10Portuguese (pt)
Indução transfinita
8.3718
More...

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

Most popular in all the time

The most popular language versions of the article "Transfinite induction" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Transfinite induction
487 303
2Russian (ru)
Трансфинитная индукция
109 238
3German (de)
Transfinite Induktion
83 894
4French (fr)
Récurrence transfinie
52 861
5Polish (pl)
Indukcja pozaskończona
49 517
6Chinese (zh)
超限归纳法
39 624
7Spanish (es)
Inducción transfinita
31 525
8Japanese (ja)
超限帰納法
25 926
9Italian (it)
Induzione transfinita
24 877
10Hebrew (he)
אינדוקציה טרנספיניטית
17 122
More...

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

Most popular in June 2025

The most popular language versions of the article "Transfinite induction" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Transfinite induction
3 274
2Russian (ru)
Трансфинитная индукция
537
3Japanese (ja)
超限帰納法
365
4German (de)
Transfinite Induktion
290
5French (fr)
Récurrence transfinie
186
6Chinese (zh)
超限归纳法
174
7Polish (pl)
Indukcja pozaskończona
117
8Spanish (es)
Inducción transfinita
83
9Italian (it)
Induzione transfinita
65
10Portuguese (pt)
Indução transfinita
62
More...

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

The highest AI

Language versions of the article "Transfinite induction" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Transfinite induction
75
2French (fr)
Récurrence transfinie
46
3Russian (ru)
Трансфинитная индукция
38
4German (de)
Transfinite Induktion
37
5Italian (it)
Induzione transfinita
28
6Polish (pl)
Indukcja pozaskończona
24
7Hungarian (hu)
Transzfinit indukció
13
8Ukrainian (uk)
Трансфінітна індукція
13
9Chinese (zh)
超限归纳法
13
10Hebrew (he)
אינדוקציה טרנספיניטית
11
More...

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

The highest AI in June 2025

Language versions of the article "Transfinite induction" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Czech (cs)
Transfinitní indukce
0
2German (de)
Transfinite Induktion
0
3English (en)
Transfinite induction
0
4Esperanto (eo)
Transfinia indukto
0
5Spanish (es)
Inducción transfinita
0
6Persian (fa)
استقرای ترامتناهی
0
7Finnish (fi)
Transfiniittinen induktio
0
8French (fr)
Récurrence transfinie
0
9Hebrew (he)
אינדוקציה טרנספיניטית
0
10Hungarian (hu)
Transzfinit indukció
0
More...

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

The highest CI

Language versions of the article "Transfinite induction" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Transfinite induction
214
2Chinese (zh)
超限归纳法
93
3Russian (ru)
Трансфинитная индукция
89
4Portuguese (pt)
Indução transfinita
85
5Ukrainian (uk)
Трансфінітна індукція
75
6Czech (cs)
Transfinitní indukce
69
7French (fr)
Récurrence transfinie
64
8Persian (fa)
استقرای ترامتناهی
51
9Vietnamese (vi)
Quy nạp siêu hạn
44
10German (de)
Transfinite Induktion
33
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
csCzech
Transfinitní indukce
deGerman
Transfinite Induktion
enEnglish
Transfinite induction
eoEsperanto
Transfinia indukto
esSpanish
Inducción transfinita
faPersian
استقرای ترامتناهی
fiFinnish
Transfiniittinen induktio
frFrench
Récurrence transfinie
heHebrew
אינדוקציה טרנספיניטית
huHungarian
Transzfinit indukció
itItalian
Induzione transfinita
jaJapanese
超限帰納法
kkKazakh
Трансфинит индукция
nlDutch
Transfiniete inductie
plPolish
Indukcja pozaskończona
ptPortuguese
Indução transfinita
roRomanian
Principiul inducției transfinite
ruRussian
Трансфинитная индукция
ukUkrainian
Трансфінітна індукція
viVietnamese
Quy nạp siêu hạn
zhChinese
超限归纳法

Popularity rank trends

Best Rank English:
#269569
11.2010
Global:
#262465
11.2010

AI rank trends

Best Rank English:
#2770
09.2001
Global:
#3050
09.2001

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Transfinite induction from Wikipedia articles about Ordinal number, Well-ordering theorem, Mathematical induction, Zorns lemma and Von Neumann universe. Whereas reading the article about Transfinite induction people most often go to Wikipedia articles on Ordinal number, Limit ordinal, Mathematical induction, Zermelo–Fraenkel set theory and Well-order.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 12 August 2025

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About WikiRank

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 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information