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^ Mac Lane, Saunders (1971), “Categorical algebra and set-theoretic foundations”, Axiomatic Set Theory (Proc. Sympos. Pure Math., Vol. XIII, Part I, Univ. California, Los Angeles, Calif., 1967), Providence, RI: Amer. Math. Soc., pp. 231?240, MR.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation.cs-ja1 q,.mw-parser-output .citation.cs-ja2 q{quotes:"「""」""『""』"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free a,.mw-parser-output .citation .cs1-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited a,.mw-parser-output .id-lock-registration a,.mw-parser-output .citation .cs1-lock-limited a,.mw-parser-output .citation .cs1-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription a,.mw-parser-output .citation .cs1-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:#d33}.mw-parser-output .cs1-visible-error{color:#d33}.mw-parser-output .cs1-maint{display:none;color:#3a3;margin-left:0.3em}.mw-parser-output .cs1-format{font-size:95%}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}0282791
^ Cantor 1874.
^ 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
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