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^ Frege 1893 In Volume 2, Jena 1903. pp. 253-261 Frege discusses the antionomy in the afterword.
^ Peano 1889 Axiom 52. chap.
^ a b Letter from Cantor to David Hilbert on September 26, 1897, Meschkowski & Nilson 1991 p. 388.
^ Letter from Cantor to Richard Dedekind on August 3, 1899, Meschkowski & Nilson 1991 p. 408.
^ a b Letters from Cantor to Richard Dedekind on August 3, 1899 and on August 30, 1899, Zermelo 1932 p. 448 (System aller denkbaren Klassen) and Meschkowski & Nilson 1991 p. 407.
^ Halmos 1974, p. [要ページ番号].
^ a b c d e Jech 2002, p. 4.
^ Halmos 1974, Chapter 2.
^ a b Jech 2002, Section 1.6.
^ Halmos 1974, See discussion around Russell's paradox.
^ Jech 2002, p. 61.

参考文献

Bourbaki, N., Elements of the History of Mathematics, John Meldrum (trans.), Springer-Verlag, Berlin, Germany, 1994.

Cantor, Georg (1874), ⇒“Ueber eine Eigenschaft des Inbegriffes aller reellen algebraischen Zahlen”, J. Reine Angew. Math. 77: 258?262, doi:10.1515/crll.1874.77.258, ⇒http://www.digizeitschriften.de/main/dms/img/?PPN=GDZPPN002155583, See also ⇒pdf version 

Devlin, K.J., The Joy of Sets: Fundamentals of Contemporary Set Theory, 2nd edition, Springer-Verlag, New York, NY, 1993.

Maria J. Frapolli|Frapolli, Maria J., 1991, "Is Cantorian set theory an iterative conception of set?". Modern Logic, v. 1 n. 4, 1991, 302?318.

Frege, Gottlob (1893), Grundgesetze der Arithmetik, 1, Jena 

Halmos, Paul (1960). Naive Set Theory. Princeton, NJ: D. Van Nostrand Company 

Halmos, Paul (1974). Naive Set Theory (Reprint ed.). New York: Springer-Verlag. ISBN 0-387-90092-6 

Halmos, Paul (2011). Naive Set Theory (Paperback ed.). Mansfield Centre, CN: D. Van Nostrand Company. ISBN 978-1-61427-131-4 


Jech, Thomas (2002). Set theory, third millennium edition (revised and expanded). Springer. ISBN 3-540-44085-2 

Kelley, J.L., General Topology, Van Nostrand Reinhold, New York, NY, 1955.

van Heijenoort, J., From Frege to Godel, A Source Book in Mathematical Logic, 1879-1931, Harvard University Press, Cambridge, MA, 1967. Reprinted with corrections, 1977. ISBN 0-674-32449-8ISBN 0-674-32449-8.

Meschkowski, Herbert; Nilson, Winfried (1991), Georg Cantor: Briefe. Edited by the authors., Berlin: Springer, ISBN 3-540-50621-7 

Peano, Giuseppe (1889), Arithmetices Principies nova Methoda exposita, Turin 

Zermelo, Ernst (1932), Georg Cantor: Gesammelte Abhandlungen mathematischen und philosophischen Inhalts. Mit erlauternden Anmerkungen sowie mit Erganzungen aus dem Briefwechsel Cantor-Dedekind. Edited by the author., Berlin: Springer 

外部リンク

Beginnings of set theory page at St. Andrews

Earliest Known Uses of Some of the Words of Mathematics (S)







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