Well-ordering theorem

en

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Well-ordering theorem

Quality:

Well-ordering theorem - set-theoretic theorem or principle, equivalent to the axiom of choice. Article "Well-ordering theorem" in English Wikipedia has 23.1 points for quality (as of July 1, 2025). The article contains 10 references and 5 sections.

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

Since the creation of article "Well-ordering theorem", its content was written by 76 registered users of English Wikipedia and edited by 280 registered Wikipedia users in all languages.

The article is cited 45 times in English Wikipedia and cited 312 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #5855 in January 2003
  • Global: #9861 in January 2003

The highest popularity rank from 2008:

  • Local (English): #106588 in April 2025
  • Global: #142880 in April 2025

There are 20 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
1Estonian (et)
Zermelo teoreem
23.3628
2English (en)
Well-ordering theorem
23.1349
3Ukrainian (uk)
Теорема Цермело
21.1781
4Russian (ru)
Теорема Цермело
16.9034
5Spanish (es)
Teorema del buen orden
15.9871
6Chinese (zh)
良序定理
15.0562
7Dutch (nl)
Welordeningsstelling
13.9763
8French (fr)
Théorème de Zermelo
12.978
9German (de)
Wohlordnungssatz
10.4963
10Hebrew (he)
משפט הסדר הטוב
9.6588
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 "Well-ordering theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Well-ordering theorem
536 602
2German (de)
Wohlordnungssatz
82 387
3Chinese (zh)
良序定理
63 208
4French (fr)
Théorème de Zermelo
56 981
5Italian (it)
Teorema del buon ordinamento
48 867
6Russian (ru)
Теорема Цермело
43 844
7Spanish (es)
Teorema del buen orden
39 922
8Polish (pl)
Twierdzenie Zermela
29 806
9Hebrew (he)
משפט הסדר הטוב
21 328
10Turkish (tr)
İyi sıralılık ilkesi
11 785
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 "Well-ordering theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Well-ordering theorem
3 792
2Russian (ru)
Теорема Цермело
464
3Chinese (zh)
良序定理
342
4German (de)
Wohlordnungssatz
301
5French (fr)
Théorème de Zermelo
243
6Spanish (es)
Teorema del buen orden
166
7Italian (it)
Teorema del buon ordinamento
142
8Hebrew (he)
משפט הסדר הטוב
76
9Polish (pl)
Twierdzenie Zermela
70
10Czech (cs)
Zermelova věta
34
More...

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

The highest AI

Language versions of the article "Well-ordering theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Well-ordering theorem
76
2German (de)
Wohlordnungssatz
35
3French (fr)
Théorème de Zermelo
34
4Italian (it)
Teorema del buon ordinamento
19
5Hebrew (he)
משפט הסדר הטוב
17
6Turkish (tr)
İyi sıralılık ilkesi
16
7Chinese (zh)
良序定理
12
8Polish (pl)
Twierdzenie Zermela
11
9Czech (cs)
Zermelova věta
8
10Esperanto (eo)
Teoremo pri bonordigo
8
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 "Well-ordering theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Czech (cs)
Zermelova věta
0
2German (de)
Wohlordnungssatz
0
3English (en)
Well-ordering theorem
0
4Esperanto (eo)
Teoremo pri bonordigo
0
5Spanish (es)
Teorema del buen orden
0
6Estonian (et)
Zermelo teoreem
0
7Persian (fa)
قضیه خوش‌ترتیبی
0
8French (fr)
Théorème de Zermelo
0
9Hebrew (he)
משפט הסדר הטוב
0
10Croatian (hr)
Zermelov poučak
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 "Well-ordering theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Hebrew (he)
משפט הסדר הטוב
59
2English (en)
Well-ordering theorem
45
3French (fr)
Théorème de Zermelo
38
4German (de)
Wohlordnungssatz
29
5Chinese (zh)
良序定理
23
6Czech (cs)
Zermelova věta
13
7Esperanto (eo)
Teoremo pri bonordigo
12
8Italian (it)
Teorema del buon ordinamento
12
9Russian (ru)
Теорема Цермело
11
10Estonian (et)
Zermelo teoreem
10
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
Zermelova věta
deGerman
Wohlordnungssatz
enEnglish
Well-ordering theorem
eoEsperanto
Teoremo pri bonordigo
esSpanish
Teorema del buen orden
etEstonian
Zermelo teoreem
faPersian
قضیه خوش‌ترتیبی
frFrench
Théorème de Zermelo
heHebrew
משפט הסדר הטוב
hrCroatian
Zermelov poučak
huHungarian
Jólrendezési tétel
itItalian
Teorema del buon ordinamento
nlDutch
Welordeningsstelling
plPolish
Twierdzenie Zermela
roRomanian
Teorema de bună ordonare
ruRussian
Теорема Цермело
svSwedish
Välordningssatsen
trTurkish
İyi sıralılık ilkesi
ukUkrainian
Теорема Цермело
zhChinese
良序定理

Popularity rank trends

Best Rank English:
#106588
04.2025
Global:
#142880
04.2025

AI rank trends

Best Rank English:
#5855
01.2003
Global:
#9861
01.2003

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 Well-ordering theorem from Wikipedia articles about Axiom of choice, Well-ordering principle, Zorns lemma, Ernst Zermelo and Zermelo–Fraenkel set theory. Whereas reading the article about Well-ordering theorem people most often go to Wikipedia articles on Well-order, Zorns lemma, Axiom of choice, Banach–Tarski paradox and Transfinite induction.

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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In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

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