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Georg Cantor
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==Bibliography== :''Older sources on Cantor's life should be treated with caution. See section [[#Biographies|§ Biographies]] above.'' ===Primary literature in English=== * {{Cite book |last=Cantor |first=Georg |year=1955|orig-year=1915|url=https://archive.org/details/contributionstot003626mbp|title=Contributions to the Founding of the Theory of Transfinite Numbers|editor=[[Philip Jourdain]]|place=New York|publisher=Dover Publications|isbn=978-0-486-60045-1|ref=Cantor1955}}. ===Primary literature in German=== * {{Cite journal |last=Cantor |first=Georg |year=1874|url=http://gdz.sub.uni-goettingen.de/download/PPN243919689_0077/PPN243919689_0077___LOG_0014.pdf |archive-url=https://web.archive.org/web/20171007095818/http://gdz.sub.uni-goettingen.de/download/PPN243919689_0077/PPN243919689_0077___LOG_0014.pdf |archive-date=2017-10-07 |url-status=live|title=Ueber eine Eigenschaft des Inbegriffes aller reellen algebraischen Zahlen|journal=[[Journal für die Reine und Angewandte Mathematik]]|volume=1874|issue=77|pages=258–262|doi=10.1515/crll.1874.77.258|s2cid=199545885 }} * {{Cite journal | last = Cantor | first = Georg | title = Ein Beitrag zur Mannigfaltigkeitslehre | journal = Journal für die Reine und Angewandte Mathematik | volume = 1878 | issue = 84 | pages = 242–258 | url = http://www.digizeitschriften.de/dms/img/?PID=GDZPPN002156806 | year = 1878| doi = 10.1515/crelle-1878-18788413 }} * {{cite journal | author=Georg Cantor | title=Ueber unendliche, lineare Punktmannichfaltigkeiten (1) | journal=Mathematische Annalen | volume=15 | issue=1 | pages=1–7 | url=http://gdz.sub.uni-goettingen.de/dms/load/img/?PPN=PPN235181684_0015&DMDID=DMDLOG_0004 | year=1879 | doi=10.1007/bf01444101| s2cid=179177510 | ref={{harvid|Cantor|1879}} }} * {{cite journal | author=Georg Cantor | title=Ueber unendliche, lineare Punktmannichfaltigkeiten (2) | journal=Mathematische Annalen | volume=17 | issue=3 | pages=355–358 | url=http://gdz.sub.uni-goettingen.de/dms/load/img/?PPN=PPN235181684_0017&DMDID=DMDLOG_0043 | year=1880 | doi=10.1007/bf01446232| s2cid=179177438 }} * {{cite journal | author=Georg Cantor | title=Ueber unendliche, lineare Punktmannichfaltigkeiten (3) | journal=Mathematische Annalen | volume=20 | issue=1 | pages=113–121 | url=http://gdz.sub.uni-goettingen.de/dms/load/img/?PPN=PPN235181684_0020&DMDID=DMDLOG_0015 | year=1882 | doi=10.1007/bf01443330| s2cid=177809016 }} * {{cite journal | author=Georg Cantor | title=Ueber unendliche, lineare Punktmannichfaltigkeiten (4) | journal=Mathematische Annalen | volume=21 | issue=1 | pages=51–58 | url=http://gdz.sub.uni-goettingen.de/dms/load/img/?PPN=PPN235181684_0021&DMDID=DMDLOG_0008 | year=1883 | doi=10.1007/bf01442612| s2cid=179177480 }} * {{cite journal | author=Georg Cantor | title=Ueber unendliche, lineare Punktmannichfaltigkeiten (5) | journal=Mathematische Annalen | volume=21 | issue=4 | pages=545–591 | url=http://gdz.sub.uni-goettingen.de/dms/load/img/?PPN=PPN235181684_0021&DMDID=DMDLOG_0051 | year=1883 | doi=10.1007/bf01446819 | s2cid=121930608 | ref={{harvid|Cantor|1883}} }} Published separately as: ''Grundlagen einer allgemeinen Mannigfaltigkeitslehre''. * {{cite journal | author=Georg Cantor | title=Ueber unendliche, lineare Punktmannichfaltigkeiten (6) | journal=Mathematische Annalen | volume=23 | issue=4 | pages=453–488 | url=https://gdz.sub.uni-goettingen.de/id/PPN235181684_0023?tify=%7B%22pages%22%3A%5B472%2C473%5D%2C%22view%22%3A%22info%22%7D | year=1884 | doi=10.1007/BF01446598| s2cid= 179178052}} * {{cite journal | author=Georg Cantor | title=Ueber eine elementare Frage der Mannigfaltigkeitslehre | journal=Jahresbericht der Deutschen Mathematiker-Vereinigung | volume=1 | pages=75–78 | year=1891 |url=http://gdz.sub.uni-goettingen.de/pdfcache/PPN37721857X_0001/PPN37721857X_0001___LOG_0029.pdf |archive-url=https://web.archive.org/web/20180101100326/http://gdz.sub.uni-goettingen.de/pdfcache/PPN37721857X_0001/PPN37721857X_0001___LOG_0029.pdf |archive-date=2018-01-01 |url-status=live}} * {{Cite journal |last=Cantor |first=Georg |year=1895 |url=http://gdz-lucene.tc.sub.uni-goettingen.de/gcs/gcs?&&action=pdf&metsFile=PPN235181684_0046&divID=LOG_0044&pagesize=original&pdfTitlePage=http://gdz.sub.uni-goettingen.de/dms/load/pdftitle/?metsFile=PPN235181684_0046%7C&targetFileName=PPN235181684_0046_LOG_0044.pdf& |title=Beiträge zur Begründung der transfiniten Mengenlehre (1) |journal=Mathematische Annalen |volume=46 |issue=4 |pages=481–512 |doi=10.1007/bf02124929 |s2cid=177801164 |url-status=dead |archive-url=https://web.archive.org/web/20140423224341/http://gdz-lucene.tc.sub.uni-goettingen.de/gcs/gcs?&&action=pdf&metsFile=PPN235181684_0046&divID=LOG_0044&pagesize=original&pdfTitlePage=http%3A%2F%2Fgdz.sub.uni-goettingen.de%2Fdms%2Fload%2Fpdftitle%2F%3FmetsFile%3DPPN235181684_0046%7C&targetFileName=PPN235181684_0046_LOG_0044.pdf& |archive-date=23 April 2014 }} * {{Cite journal |last=Cantor |first=Georg |year=1897|title=Beiträge zur Begründung der transfiniten Mengenlehre (2)|journal=Mathematische Annalen|volume=49|issue=2|pages=207–246|doi=10.1007/bf01444205 |s2cid=121665994 |url=http://gdz.sub.uni-goettingen.de/index.php?id=11&PPN=PPN235181684_0049&DMDID=DMDLOG_0024&L=1}} * {{Cite web |last=Cantor |first=Georg |year=1932 |url=http://gdz.sub.uni-goettingen.de/index.php?id=11&PPN=PPN237853094&DMDID=DMDLOG_0001&L=1 |title=Gesammelte Abhandlungen mathematischen und philosophischen inhalts |editor=[[Ernst Zermelo]] |publisher=Springer |location=Berlin |url-status=dead |archive-url=https://web.archive.org/web/20140203234213/http://gdz.sub.uni-goettingen.de/index.php?id=11&PPN=PPN237853094&DMDID=DMDLOG_0001&L=1 |archive-date=3 February 2014 }}. Almost everything that Cantor wrote. Includes excerpts of his correspondence with [[Richard Dedekind|Dedekind]] (p. 443–451) and [[Adolf Fraenkel|Fraenkel's]] Cantor biography (p. 452–483) in the appendix. ===Secondary literature=== * {{Cite book |last1=Aczel|first1=Amir D.|author1-link=Amir Aczel|year=2000|title=The Mystery of the Aleph: Mathematics, the Kabbala, and the Search for Infinity|place=New York|publisher=Four Walls Eight Windows Publishing}}. {{isbn|0-7607-7778-0}}. A popular treatment of infinity, in which Cantor is frequently mentioned. * {{Cite journal |last=Dauben |first= Joseph W.|date=June 1983|title=Georg Cantor and the Origins of Transfinite Set Theory|journal=Scientific American|volume=248|issue=6|pages=122–131|doi=10.1038/scientificamerican0683-122|bibcode=1983SciAm.248f.122D}} * {{Cite book |last=Ferreirós |first=José |year=2007|title=Labyrinth of Thought: A History of Set Theory and Its Role in Mathematical Thought|place=Basel, Switzerland|publisher=Birkhäuser}}. {{isbn|3-7643-8349-6}} Contains a detailed treatment of both Cantor's and Dedekind's contributions to set theory. * {{Cite book |last=Halmos |first=Paul |author-link=Paul Halmos |year=1998|orig-year=1960|title=Naive Set Theory|place=New York & Berlin|publisher=Springer}}. {{isbn|3-540-90092-6}} * {{Cite journal |last1=Hilbert|first1=David|author1-link=David Hilbert|year=1926|url=http://www.digizeitschriften.de/main/dms/img/?PPN=GDZPPN002270641|title=Über das Unendliche|journal=Mathematische Annalen|volume=95|pages=161–190|doi=10.1007/BF01206605|s2cid=121888793}} * {{Cite book |last1=Hill |first1= C. O. |last2=Rosado Haddock |first2=G. E.|year=2000|title=Husserl or Frege? Meaning, Objectivity, and Mathematics|place=Chicago|publisher=Open Court}}. {{isbn|0-8126-9538-0}} Three chapters and 18 index entries on Cantor. * {{Cite book |last=Meschkowski |first=Herbert|year=1983|title=Georg Cantor, Leben, Werk und Wirkung (Georg Cantor, Life, Work and Influence, in German)|publisher= Vieweg, Braunschweig}} * Newstead, Anne (2009). "Cantor on Infinity in Nature, Number, and the Divine Mind"[https://www.pdcnet.org/acpq/content/acpq_2009_0083_0004_0533_0553], ''American Catholic Philosophical Quarterly'', '''83''' (4): 532–553, https://doi.org/10.5840/acpq200983444. With acknowledgement of Dauben's pioneering historical work, this article further discusses Cantor's relation to the philosophy of Spinoza and Leibniz in depth, and his engagement in the ''Pantheismusstreit''. Brief mention is made of Cantor's learning from F.A.Trendelenburg. * {{Cite book |last=Penrose |first=Roger |author-link=Roger Penrose |year=2004|title=The Road to Reality|publisher=Alfred A. Knopf}}. {{isbn|0-679-77631-1}} Chapter 16 illustrates how Cantorian thinking intrigues a leading contemporary [[Theoretical physics|theoretical physicist]]. * {{Cite book |last=Rucker |first=Rudy |author-link=Rudy Rucker |year=2005|orig-year=1982|title=Infinity and the Mind|publisher=Princeton University Press}}. {{isbn|0-553-25531-2}} Deals with similar topics to Aczel, but in more depth. * {{Cite encyclopedia |last=Rodych |first=Victor|year=2007|title=Wittgenstein's Philosophy of Mathematics |url=http://plato.stanford.edu/entries/wittgenstein-mathematics/|encyclopedia=The Stanford Encyclopedia of Philosophy|editor=Edward N. Zalta |publisher=Metaphysics Research Lab, Stanford University}}. * Leonida Lazzari, ''L'infinito di Cantor''. Editrice Pitagora, Bologna, 2008.
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