Second-order arithmetic

en

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Second-order arithmetic

Quality:

Second-order arithmetic - mathematical system. Article “Second-order arithmetic” in English Wikipedia has 41.6 points for quality (as of July 1, 2025). The article contains 22 references and 19 sections.

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

Since the creation of article “Second-order arithmetic”, its content was written by 57 registered users of English Wikipedia and edited by 80 registered Wikipedia users in all languages.

The article is cited 374 times in English Wikipedia and cited 415 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #69462 in May 2023
  • Global: #166713 in August 2014

The highest popularity rank from 2008:

  • Local (English): #367834 in July 2023
  • Global: #596164 in July 2023

There are 4 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 arithmetic
41.6054
2Portuguese (pt)
Aritmética de segunda ordem
27.2243
3French (fr)
Arithmétique du second ordre
8.8483
4Spanish (es)
Aritmética de segundo orden
2.0127
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 arithmetic" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Second-order arithmetic
292 648
2French (fr)
Arithmétique du second ordre
9 067
3Portuguese (pt)
Aritmética de segunda ordem
5 033
4Spanish (es)
Aritmética de segundo orden
4 390
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 arithmetic" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Second-order arithmetic
2 163
2French (fr)
Arithmétique du second ordre
80
3Portuguese (pt)
Aritmética de segunda ordem
19
4Spanish (es)
Aritmética de segundo orden
16
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 arithmetic" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Second-order arithmetic
57
2French (fr)
Arithmétique du second ordre
15
3Portuguese (pt)
Aritmética de segunda ordem
6
4Spanish (es)
Aritmética de segundo orden
2
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 arithmetic" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Second-order arithmetic
0
2Spanish (es)
Aritmética de segundo orden
0
3French (fr)
Arithmétique du second ordre
0
4Portuguese (pt)
Aritmética de segunda ordem
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 arithmetic" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Second-order arithmetic
374
2French (fr)
Arithmétique du second ordre
19
3Portuguese (pt)
Aritmética de segunda ordem
12
4Spanish (es)
Aritmética de segundo orden
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
enEnglish
Second-order arithmetic
esSpanish
Aritmética de segundo orden
frFrench
Arithmétique du second ordre
ptPortuguese
Aritmética de segunda ordem

Popularity rank trends

Best Rank English:
#367834
07.2023
Global:
#596164
07.2023

AI rank trends

Best Rank English:
#69462
05.2023
Global:
#166713
08.2014

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Second-order arithmetic from Wikipedia articles about Reverse mathematics, Peano axioms, Goodsteins theorem, Kruskals tree theorem and Second-order logic. Whereas reading the article about Second-order arithmetic people most often go to Wikipedia articles on Peano axioms, Reverse mathematics, True arithmetic, First-order logic and Mathematical analysis.

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

On 16 March 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 98th Academy Awards, Michael B. Jordan, Sinners, Jessie Buckley, Paul Thomas Anderson, Sean Penn, One Battle After Another, Amy Madigan, Hamnet, Timothée Chalamet.

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