Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Georg Cantor
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
==References== * {{Cite journal |last=Dauben |first=Joseph W. |author-link=Joseph Dauben |jstor=2708842 |year=1977|title=Georg Cantor and Pope Leo XIII: Mathematics, Theology, and the Infinite|journal=Journal of the History of Ideas|volume=38|number=1|pages=85–108|ref=Dauben1977|doi=10.2307/2708842}} * {{Cite book |last=Dauben |first=Joseph W.|year=1979|title=[Unavailable on archive.org] Georg Cantor: his mathematics and philosophy of the infinite|place=Boston|publisher=Harvard University Press|isbn=978-0-691-02447-9|ref=Dauben1979|url-access=registration|url=https://archive.org/details/georgcantorhisma0000daub}} * {{Cite conference |last=Dauben |first=Joseph|orig-year=1993|year=2004|url=https://acmsonline.org/home2/wp-content/uploads/2016/05/Dauben-Cantor.pdf |archive-url=https://web.archive.org/web/20180123072518/http://acmsonline.org/home2/wp-content/uploads/2016/05/Dauben-Cantor.pdf |archive-date=2018-01-23 |url-status=live |title=Georg Cantor and the Battle for Transfinite Set Theory |conference=Proceedings of the 9th ACMS Conference (Westmont College, Santa Barbara, Calif.)|pages=1–22 |ref=Dauben2004}} Internet version published in ''Journal of the ACMS'' 2004. Note, though, that Cantor's Latin quotation described in this article as ''a familiar passage from the Bible'' is actually from the works of Seneca and has no implication of divine revelation. * {{Cite book |editor-last=Ewald|editor-first=William B.|year=1996|title=From Immanuel Kant to David Hilbert: A Source Book in the Foundations of Mathematics|place=New York|publisher=Oxford University Press|isbn=978-0-19-853271-2|ref=Ewald}} * {{Cite journal |last=Grattan-Guinness |first=Ivor |author-link=Ivor Grattan-Guinness |year=1971|title=Towards a Biography of Georg Cantor|doi=10.1080/00033797100203837|journal=Annals of Science|volume=27|issue=4|pages=345–391|ref=Guinness1971}} * {{Cite book |last=Grattan-Guinness |first=Ivor |author-link=Ivor Grattan-Guinness |year=2000|title=The Search for Mathematical Roots: 1870–1940|publisher=Princeton University Press|isbn=978-0-691-05858-0|ref=Guinness2000}} * {{Cite book |last=Hallett |first=Michael|title=Cantorian Set Theory and Limitation of Size|publisher=Oxford University Press|place=New York|year=1986|isbn=978-0-19-853283-5|ref=Hallett}} * {{Cite book |first=Gregory H.|last=Moore|year=1982|title=Zermelo's Axiom of Choice: Its Origins, Development & Influence|publisher=Springer|isbn=978-1-4613-9480-8|ref=Moore1982}} * {{cite journal | last=Moore | first=Gregory H. | title=The roots of Russell's paradox | journal=Russell: The Journal of Bertrand Russell Archives | publisher=Johns Hopkins University Press | volume=8 | issue=1 | date=2023-04-19 | issn=1913-8032 | pages=46–56 | url=https://muse.jhu.edu/article/882076/summary |ref=Moore1988| access-date=2025-03-28}} * {{Cite journal |first1=Gregory H.|last1=Moore|first2=Alejandro|last2=Garciadiego|year=1981|title=Burali-Forti's Paradox: A Reappraisal of Its Origins|journal=Historia Mathematica|volume=8|issue=3|pages=319–350|doi=10.1016/0315-0860(81)90070-7|ref=Moore1981|doi-access=free}} * {{Cite book |last=Purkert|first=Walter|chapter=Cantor's Views on the [[Foundations of Mathematics]]|editor-last1=Rowe|editor-first1=David E.|editor-last2=McCleary|editor-first2=John|title=The History of Modern Mathematics, Volume 1|pages=[https://archive.org/details/historyofmodernm0000symp/page/49 49–65]|publisher=Academic Press|year=1989|isbn=978-0-12-599662-4|ref=Purkert1989|url=https://archive.org/details/historyofmodernm0000symp/page/49}} * {{Cite book |last1=Purkert |first1=Walter |last2=Ilgauds |first2=Hans Joachim|year=1985|title=Georg Cantor: 1845–1918|publisher=[[Birkhäuser Verlag|Birkhäuser]]|isbn=978-0-8176-1770-7|ref=Purkert}} *{{Cite book |last=Suppes |first=Patrick|year=1972|orig-year=1960|title=Axiomatic Set Theory|place=New York|publisher=Dover|isbn=978-0-486-61630-8|ref=Suppes|url=https://archive.org/details/axiomaticsettheo00supp_0}} Although the presentation is axiomatic rather than naive, Suppes proves and discusses many of Cantor's results, which demonstrates Cantor's continued importance for the edifice of foundational mathematics. * {{Cite journal |first=Ernst|last=Zermelo|year=1908|title=Untersuchungen über die Grundlagen der Mengenlehre I|journal=Mathematische Annalen|volume=65|issue=2|pages= 261–281|url=http://gdz.sub.uni-goettingen.de/dms/load/img/?PPN=PPN235181684_0065&DMDID=DMDLOG_0018|doi=10.1007/bf01449999|s2cid=120085563|ref=Zermelo1908}} * {{Cite journal |first=Ernst|last=Zermelo|title=Über Grenzzahlen und Mengenbereiche: neue Untersuchungen über die Grundlagen der Mengenlehre|url=http://matwbn.icm.edu.pl/ksiazki/fm/fm16/fm1615.pdf |archive-url=https://web.archive.org/web/20040628014704/http://matwbn.icm.edu.pl/ksiazki/fm/fm16/fm1615.pdf |archive-date=2004-06-28 |url-status=live|journal=[[Fundamenta Mathematicae]]|volume=16|pages=29–47|year=1930|ref=Zermelo1930|doi=10.4064/fm-16-1-29-47|doi-access=free}} * {{Cite book |last=van Heijenoort|first=Jean|year=1967|publisher=Harvard University Press|title=From Frege to Godel: A Source Book in Mathematical Logic, 1879–1931|isbn = 978-0-674-32449-7|ref=Heijenoort}}
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)