Diamond principle

en

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Diamond principle

Quality:

Diamond principle - combinatorial principle that there exists a family of sets ?(?)⊆? for ?<ω₁ such that for any ?⊆ω₁, the set of ?’s with ?∩?=?(?) is stationary in ω₁. Article “Diamond principle” in English Wikipedia has 11.3 points for quality (as of July 1, 2025). The article contains 1 references and 5 sections.

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

Since the creation of article “Diamond principle”, its content was written by 40 registered users of English Wikipedia and edited by 83 registered Wikipedia users in all languages.

The article is cited 25 times in English Wikipedia and cited 79 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #59405 in June 2004
  • Global: #110292 in November 2011

The highest popularity rank from 2008:

  • Local (English): #527532 in August 2018
  • Global: #488405 in December 2008

There are 9 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
1Portuguese (pt)
Princípio diamante
29.3168
2Polish (pl)
Diament Jensena
14.0351
3English (en)
Diamond principle
11.2555
4Spanish (es)
Principio del diamante
9.5293
5Chinese (zh)
鑽石原則
8.9832
6Czech (cs)
Diamantový princip
6.4228
7Hebrew (he)
עקרון היהלום
3.7347
8German (de)
Karo (Mengenlehre)
3.5668
9Japanese (ja)
ダイヤモンド原理
2.5138
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 "Diamond principle" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Diamond principle
121 316
2Polish (pl)
Diament Jensena
18 683
3German (de)
Karo (Mengenlehre)
12 710
4Japanese (ja)
ダイヤモンド原理
12 528
5Czech (cs)
Diamantový princip
6 748
6Portuguese (pt)
Princípio diamante
4 468
7Chinese (zh)
鑽石原則
1 624
8Hebrew (he)
עקרון היהלום
717
9Spanish (es)
Principio del diamante
341
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 "Diamond principle" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Diamond principle
975
2Japanese (ja)
ダイヤモンド原理
95
3Chinese (zh)
鑽石原則
91
4Czech (cs)
Diamantový princip
29
5Polish (pl)
Diament Jensena
29
6German (de)
Karo (Mengenlehre)
20
7Spanish (es)
Principio del diamante
9
8Hebrew (he)
עקרון היהלום
9
9Portuguese (pt)
Princípio diamante
8
More...

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

The highest AI

Language versions of the article "Diamond principle" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Diamond principle
40
2German (de)
Karo (Mengenlehre)
11
3Polish (pl)
Diament Jensena
10
4Portuguese (pt)
Princípio diamante
7
5Czech (cs)
Diamantový princip
5
6Chinese (zh)
鑽石原則
4
7Japanese (ja)
ダイヤモンド原理
3
8Hebrew (he)
עקרון היהלום
2
9Spanish (es)
Principio del diamante
1
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 "Diamond principle" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Polish (pl)
Diament Jensena
1
2Czech (cs)
Diamantový princip
0
3German (de)
Karo (Mengenlehre)
0
4English (en)
Diamond principle
0
5Spanish (es)
Principio del diamante
0
6Hebrew (he)
עקרון היהלום
0
7Japanese (ja)
ダイヤモンド原理
0
8Portuguese (pt)
Princípio diamante
0
9Chinese (zh)
鑽石原則
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 "Diamond principle" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Polish (pl)
Diament Jensena
26
2English (en)
Diamond principle
25
3German (de)
Karo (Mengenlehre)
7
4Japanese (ja)
ダイヤモンド原理
7
5Czech (cs)
Diamantový princip
5
6Portuguese (pt)
Princípio diamante
4
7Hebrew (he)
עקרון היהלום
2
8Chinese (zh)
鑽石原則
2
9Spanish (es)
Principio del diamante
1
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
Diamantový princip
deGerman
Karo (Mengenlehre)
enEnglish
Diamond principle
esSpanish
Principio del diamante
heHebrew
עקרון היהלום
jaJapanese
ダイヤモンド原理
plPolish
Diament Jensena
ptPortuguese
Princípio diamante
zhChinese
鑽石原則

Popularity rank trends

Best Rank English:
#527532
08.2018
Global:
#488405
12.2008

AI rank trends

Best Rank English:
#59405
06.2004
Global:
#110292
11.2011

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Diamond principle from Wikipedia articles about List of statements undecidable in ZFC, Axiom of constructibility, Zermelo–Fraenkel set theory, and List of axioms. Whereas reading the article about Diamond principle people most often go to Wikipedia articles on Suslin tree, Axiom of constructibility, Clubsuit, Stationary set and Suslins problem.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 16 March 2026

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In English Wikipedia the most popular articles on that day were: 98th Academy Awards, Michael B. Jordan, Paul Thomas Anderson, Jessie Buckley, Sinners (2025 film), Amy Madigan, Autumn Durald Arkapaw, Maya Rudolph, Sean Penn, Academy Awards.

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