Ordinal arithmetic

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Ordinal arithmetic

Quality:

Ordinal arithmetic - describes the three usual operations on ordinal numbers: addition, multiplication, and exponentiation. Article “Ordinal arithmetic” in English Wikipedia has 42.4 points for quality (as of July 1, 2025). The article contains 5 references and 15 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 “Ordinal arithmetic”, its content was written by 87 registered users of English Wikipedia and edited by 159 registered Wikipedia users in all languages.

The article is cited 76 times in English Wikipedia and cited 279 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #24195 in September 2021
  • Global: #103835 in September 2021

The highest popularity rank from 2008:

  • Local (English): #332026 in April 2015
  • Global: #356855 in May 2008

There are 7 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)
Ordinal arithmetic
42.3529
2German (de)
Transfinite Arithmetik
35.7324
3Catalan (ca)
Aritmètica ordinal
25.6005
4Polish (pl)
Arytmetyka liczb porządkowych
22.9887
5Czech (cs)
Ordinální aritmetika
12.5208
6Chinese (zh)
序數算術
11.8051
7Spanish (es)
Aritmética ordinal
6.7518
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 "Ordinal arithmetic" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Ordinal arithmetic
383 469
2German (de)
Transfinite Arithmetik
50 583
3Polish (pl)
Arytmetyka liczb porządkowych
30 096
4Czech (cs)
Ordinální aritmetika
16 517
5Spanish (es)
Aritmética ordinal
15 460
6Chinese (zh)
序數算術
9 003
7Catalan (ca)
Aritmètica ordinal
538
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 "Ordinal arithmetic" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Ordinal arithmetic
2 724
2German (de)
Transfinite Arithmetik
134
3Polish (pl)
Arytmetyka liczb porządkowych
46
4Spanish (es)
Aritmética ordinal
44
5Chinese (zh)
序數算術
42
6Czech (cs)
Ordinální aritmetika
22
7Catalan (ca)
Aritmètica ordinal
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 "Ordinal arithmetic" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Ordinal arithmetic
87
2German (de)
Transfinite Arithmetik
30
3Polish (pl)
Arytmetyka liczb porządkowych
20
4Czech (cs)
Ordinální aritmetika
9
5Chinese (zh)
序數算術
7
6Catalan (ca)
Aritmètica ordinal
4
7Spanish (es)
Aritmética ordinal
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 "Ordinal arithmetic" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Catalan (ca)
Aritmètica ordinal
0
2Czech (cs)
Ordinální aritmetika
0
3German (de)
Transfinite Arithmetik
0
4English (en)
Ordinal arithmetic
0
5Spanish (es)
Aritmética ordinal
0
6Polish (pl)
Arytmetyka liczb porządkowych
0
7Chinese (zh)
序數算術
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 "Ordinal arithmetic" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Polish (pl)
Arytmetyka liczb porządkowych
134
2English (en)
Ordinal arithmetic
76
3German (de)
Transfinite Arithmetik
25
4Czech (cs)
Ordinální aritmetika
22
5Spanish (es)
Aritmética ordinal
8
6Chinese (zh)
序數算術
8
7Catalan (ca)
Aritmètica ordinal
6
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
Aritmètica ordinal
csCzech
Ordinální aritmetika
deGerman
Transfinite Arithmetik
enEnglish
Ordinal arithmetic
esSpanish
Aritmética ordinal
plPolish
Arytmetyka liczb porządkowych
zhChinese
序數算術

Popularity rank trends

Best Rank English:
#332026
04.2015
Global:
#356855
05.2008

AI rank trends

Best Rank English:
#24195
09.2021
Global:
#103835
09.2021

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Ordinal arithmetic from Wikipedia articles about Ordinal number, Epsilon numbers, Large countable ordinal, Goodsteins theorem and Transfinite number. Whereas reading the article about Ordinal arithmetic people most often go to Wikipedia articles on Ordinal number, Nimber, Transfinite induction, Epsilon numbers and Veblen function.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 28 January 2026

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In English Wikipedia the most popular articles on that day were: Ajit Pawar, Border 2, Sharad Pawar, Killing of Alex Pretti, Ilhan Omar, Sunetra Pawar, Todd Monken, Kristi Noem, Wonder Man (miniseries), Gregory Bovino.

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