Second-order logic

en

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Second-order logic

Quality:

Second-order logic - extension of first-order logic allowing quantification over functions and relations. Article "Second-order logic" in English Wikipedia has 41.7 points for quality (as of July 1, 2025). The article contains 14 references and 14 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 "Second-order logic", its content was written by 150 registered users of English Wikipedia and edited by 342 registered Wikipedia users in all languages.

The article is cited 442 times in English Wikipedia and cited 1355 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #10749 in February 2005
  • Global: #39367 in February 2005

The highest popularity rank from 2008:

  • Local (English): #127303 in February 2008
  • Global: #138649 in February 2008

There are 15 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)
Second-order logic
41.7033
2German (de)
Prädikatenlogik zweiter Stufe
36.6482
3Chinese (zh)
二階邏輯
26.8878
4Korean (ko)
2차 논리
22.4362
5Greek (el)
Λογική δευτέρου βαθμού
21.9965
6Polish (pl)
Rachunek predykatów drugiego rzędu
19.8912
7Catalan (ca)
Lògica de segon ordre
19.5335
8Portuguese (pt)
Lógica de segunda ordem
15.2644
9Spanish (es)
Lógica de segundo orden
13.7972
10Arabic (ar)
منطق الرتبة الثانية
13.6085
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 "Second-order logic" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Second-order logic
1 088 208
2Spanish (es)
Lógica de segundo orden
148 731
3Russian (ru)
Логика второго порядка
132 101
4Japanese (ja)
二階述語論理
98 737
5German (de)
Prädikatenlogik zweiter Stufe
79 826
6Chinese (zh)
二階邏輯
79 059
7Portuguese (pt)
Lógica de segunda ordem
62 447
8Hebrew (he)
לוגיקה מסדר שני
16 754
9Korean (ko)
2차 논리
14 815
10Swedish (sv)
Andra ordningens logik
13 840
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 "Second-order logic" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Second-order logic
5 148
2Japanese (ja)
二階述語論理
522
3Russian (ru)
Логика второго порядка
507
4Chinese (zh)
二階邏輯
353
5Spanish (es)
Lógica de segundo orden
324
6German (de)
Prädikatenlogik zweiter Stufe
308
7Portuguese (pt)
Lógica de segunda ordem
105
8Hebrew (he)
לוגיקה מסדר שני
98
9Korean (ko)
2차 논리
85
10Polish (pl)
Rachunek predykatów drugiego rzędu
54
More...

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

The highest AI

Language versions of the article "Second-order logic" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Second-order logic
150
2German (de)
Prädikatenlogik zweiter Stufe
36
3Russian (ru)
Логика второго порядка
31
4Chinese (zh)
二階邏輯
23
5Spanish (es)
Lógica de segundo orden
18
6Japanese (ja)
二階述語論理
12
7Portuguese (pt)
Lógica de segunda ordem
12
8Catalan (ca)
Lògica de segon ordre
11
9Hebrew (he)
לוגיקה מסדר שני
10
10Greek (el)
Λογική δευτέρου βαθμού
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 "Second-order logic" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Spanish (es)
Lógica de segundo orden
1
2Arabic (ar)
منطق الرتبة الثانية
0
3Catalan (ca)
Lògica de segon ordre
0
4German (de)
Prädikatenlogik zweiter Stufe
0
5Greek (el)
Λογική δευτέρου βαθμού
0
6English (en)
Second-order logic
0
7Hebrew (he)
לוגיקה מסדר שני
0
8Japanese (ja)
二階述語論理
0
9Korean (ko)
2차 논리
0
10Polish (pl)
Rachunek predykatów drugiego rzędu
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 "Second-order logic" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Second-order logic
442
2Portuguese (pt)
Lógica de segunda ordem
187
3Ukrainian (uk)
Логіка другого порядку
173
4Russian (ru)
Логика второго порядка
104
5Japanese (ja)
二階述語論理
95
6Chinese (zh)
二階邏輯
93
7Arabic (ar)
منطق الرتبة الثانية
64
8Korean (ko)
2차 논리
60
9Spanish (es)
Lógica de segundo orden
43
10German (de)
Prädikatenlogik zweiter Stufe
32
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
arArabic
منطق الرتبة الثانية
caCatalan
Lògica de segon ordre
deGerman
Prädikatenlogik zweiter Stufe
elGreek
Λογική δευτέρου βαθμού
enEnglish
Second-order logic
esSpanish
Lógica de segundo orden
heHebrew
לוגיקה מסדר שני
jaJapanese
二階述語論理
koKorean
2차 논리
plPolish
Rachunek predykatów drugiego rzędu
ptPortuguese
Lógica de segunda ordem
ruRussian
Логика второго порядка
svSwedish
Andra ordningens logik
ukUkrainian
Логіка другого порядку
zhChinese
二階邏輯

Popularity rank trends

Best Rank English:
#127303
02.2008
Global:
#138649
02.2008

AI rank trends

Best Rank English:
#10749
02.2005
Global:
#39367
02.2005

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Second-order logic from Wikipedia articles about First-order logic, Higher-order logic, Peano axioms, Predicate logic and Well-ordering theorem. Whereas reading the article about Second-order logic people most often go to Wikipedia articles on Higher-order logic, First-order logic, Propositional calculus, Type theory 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):

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