Georg Cantor
Mathematician (1845–1918)
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
Reverted 1 edit by [[Special:Contributions/~2026-26834-77|~2026-26834-77]] ([[User talk:~2026-26834-77|talk]]) to last revision by Plinthist
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Fix link.
Removal of "Cantor's ancestry" subsection, revision of "Youth and studies" to include some material from said section. See talk page.
replaced archive.today links; removed duplicate wikilink and duplicate citation
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link (via [[WP:JWB]])
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compare https://de.wiktionary.org/wiki/Philipp
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Dedekind correspondence re 1874 paper
/* Philosophy, religion, literature and Cantor's mathematics */
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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
Reverted edits by [[Special:Contributions/~2026-55715-9|~2026-55715-9]] ([[User talk:~2026-55715-9|talk]]) ([[WP:HG|HG]]) (3.4.14)