Georg Cantor

Mathematician (1845–1918)

Georg Cantor

Summary

Georg Ferdinand Ludwig Philipp Cantor was a mathematician who played a pivotal role in the creation of set theory, which has become a fundamental theory in mathematics. Cantor established the importance of one-to-one correspondence between the members of two sets, defined infinite and well-ordered sets, and proved that the real numbers are more numerous than the natural numbers. Cantor's method of proof of this theorem implies the existence of an infinity of infinities. He defined the cardinal and ordinal numbers and their arithmetic. Cantor's work is of great philosophical interest, a fact of which he was well aware.

Originally created by 213.112.220.xxx

5/10/2001, 3:28:19 PM

Modified

5/3/2026, 4:16:01 PM

Recent revisions

Mellk5/3/2026, 4:16:01 PM

Reverted 1 edit by [[Special:Contributions/~2026-26834-77|~2026-26834-77]] ([[User talk:~2026-26834-77|talk]]) to last revision by Plinthist

~2026-26834-775/3/2026, 1:07:50 PM

/* */

Plinthist4/27/2026, 12:44:33 AM

Fix link.

Plinthist4/27/2026, 12:33:13 AM

Removal of "Cantor's ancestry" subsection, revision of "Youth and studies" to include some material from said section. See talk page.

Venture18+4/22/2026, 11:19:42 PM

replaced archive.today links; removed duplicate wikilink and duplicate citation

Trovatore4/17/2026, 6:12:40 AM

/* top */ we don't need a nationality nor any sort of substitute for a nationality

1234qwer1234qwer44/13/2026, 3:16:05 PM

link (via [[WP:JWB]])

Electricmaster4/9/2026, 9:59:39 AM
FeanorStar73/27/2026, 9:41:17 AM

/* top */ better wording

~2026-17228-753/18/2026, 9:33:03 PM

compare https://de.wiktionary.org/wiki/Philipp

~2026-16776-673/17/2026, 2:19:49 PM
Doceddi3/15/2026, 1:46:43 PM

/* External links */Add link to Quanta story

AxelBoldt3/11/2026, 9:16:40 PM

Dedekind correspondence re 1874 paper

AlsoWukai2/28/2026, 12:37:08 PM

/* Philosophy, religion, literature and Cantor's mathematics */

AlsoWukai2/28/2026, 2:16:39 AM

ce

AlsoWukai2/28/2026, 1:57:43 AM

ce

Jacobolus2/26/2026, 11:14:24 PM

Undid revision [[Special:Diff/1340654071|1340654071]] by [[Special:Contributions/~2026-12714-20|~2026-12714-20]] ([[User talk:~2026-12714-20|talk]]) – unexplained change. a search of the talk page yields a quotation from a scholarly source saying "He has been called variously German, Jewish, Russian, and Danish." Apparently disputes about this caused revert wars, so as a compromise the article lists none up front and discusses in more detail later. start a new talk discussion to change

~2026-12714-202/26/2026, 10:57:45 PM
DB17291/26/2026, 12:55:33 AM

Reverted edits by [[Special:Contributions/~2026-55715-9|~2026-55715-9]] ([[User talk:~2026-55715-9|talk]]) ([[WP:HG|HG]]) (3.4.14)

~2026-55715-91/26/2026, 12:55:14 AM

Contributors

Source: WikipediaView full article