Forcing (mathematics)

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Forcing (mathematics)

Quality:

Forcing - in set theory, a technique for enlarging models of axioms of set theory (e.g. ZFC) by adjoining new elements, often used for proving consistency and independence results. Article "Forcing (mathematics)" in English Wikipedia has 46.1 points for quality (as of July 1, 2025). The article contains 10 references and 21 sections.

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

In June 2025 the article "Forcing (mathematics)" was edited by 3 authors in English Wikipedia and written by 6 authors in all languages.

Since the creation of article "Forcing (mathematics)", its content was written by 119 registered users of English Wikipedia and edited by 338 registered Wikipedia users in all languages.

The article is cited 470 times in English Wikipedia and cited 1056 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #7744 in March 2005
  • Global: #16575 in May 2003

The highest popularity rank from 2008:

  • Local (English): #276161 in December 2010
  • Global: #302824 in December 2014

There are 16 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)
Forcing (mathematics)
46.0747
2Catalan (ca)
Forcing (matemàtiques)
43.0875
3Korean (ko)
강제법
35.8035
4Hungarian (hu)
Forszolás
32.7204
5Polish (pl)
Forsing
31.2801
6Spanish (es)
Forzado (matemáticas)
28.8347
7Swedish (sv)
Forcing
22.8688
8French (fr)
Forcing
19.7404
9German (de)
Forcing
15.2653
10Hebrew (he)
כפייה (לוגיקה מתמטית)
15.0442
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 "Forcing (mathematics)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Forcing (mathematics)
478 580
2Polish (pl)
Forsing
67 007
3Japanese (ja)
強制法
57 980
4French (fr)
Forcing
55 065
5German (de)
Forcing
42 690
6Chinese (zh)
力迫
39 423
7Czech (cs)
Forsing
15 929
8Hebrew (he)
כפייה (לוגיקה מתמטית)
14 136
9Korean (ko)
강제법
8 625
10Hungarian (hu)
Forszolás
7 950
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 "Forcing (mathematics)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Forcing (mathematics)
2 573
2Japanese (ja)
強制法
421
3Chinese (zh)
力迫
335
4French (fr)
Forcing
189
5German (de)
Forcing
158
6Polish (pl)
Forsing
78
7Korean (ko)
강제법
49
8Hebrew (he)
כפייה (לוגיקה מתמטית)
45
9Spanish (es)
Forzado (matemáticas)
42
10Hungarian (hu)
Forszolás
41
More...

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

The highest AI

Language versions of the article "Forcing (mathematics)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Forcing (mathematics)
119
2German (de)
Forcing
45
3French (fr)
Forcing
32
4Hungarian (hu)
Forszolás
30
5Polish (pl)
Forsing
27
6Hebrew (he)
כפייה (לוגיקה מתמטית)
16
7Chinese (zh)
力迫
13
8Portuguese (pt)
Forçamento
11
9Czech (cs)
Forsing
10
10Japanese (ja)
強制法
7
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 "Forcing (mathematics)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Forcing (mathematics)
3
2German (de)
Forcing
2
3Hungarian (hu)
Forszolás
1
4Catalan (ca)
Forcing (matemàtiques)
0
5Czech (cs)
Forsing
0
6Spanish (es)
Forzado (matemáticas)
0
7Estonian (et)
Forsseerimine (matemaatika)
0
8French (fr)
Forcing
0
9Hebrew (he)
כפייה (לוגיקה מתמטית)
0
10Japanese (ja)
強制法
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 "Forcing (mathematics)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Forcing (mathematics)
470
2Chinese (zh)
力迫
140
3Korean (ko)
강제법
97
4Portuguese (pt)
Forçamento
79
5Polish (pl)
Forsing
74
6Czech (cs)
Forsing
64
7French (fr)
Forcing
35
8Japanese (ja)
強制法
30
9German (de)
Forcing
27
10Hebrew (he)
כפייה (לוגיקה מתמטית)
17
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
caCatalan
Forcing (matemàtiques)
csCzech
Forsing
deGerman
Forcing
enEnglish
Forcing (mathematics)
esSpanish
Forzado (matemáticas)
etEstonian
Forsseerimine (matemaatika)
frFrench
Forcing
heHebrew
כפייה (לוגיקה מתמטית)
huHungarian
Forszolás
jaJapanese
強制法
koKorean
강제법
nlDutch
Forcing
plPolish
Forsing
ptPortuguese
Forçamento
svSwedish
Forcing
zhChinese
力迫

Popularity rank trends

Best Rank English:
#276161
12.2010
Global:
#302824
12.2014

AI rank trends

Best Rank English:
#7744
03.2005
Global:
#16575
05.2003

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Forcing from Wikipedia articles about Continuum hypothesis, Paul Cohen, Aleph number, Axiom of choice and Proper forcing axiom. Whereas reading the article about Forcing people most often go to Wikipedia articles on Paul Cohen, Continuum hypothesis, List of forcing notions, Boolean-valued model and Löwenheim–Skolem theorem.

Cumulative results of quality and popularity of the Wikipedia article

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

zh: 力迫

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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