素朴集合論
□記事を途中から表示しています
[最初から表示]
^ Halmos 1960, Naive Set Theory.
^ Jeff Miller writes that naive set theory (as opposed to axiomatic set theory) was used occasionally in the 1940s and became an established term in the 1950s. It appears in Hermann Weyl's review of P. A. Schilpp, ed (1946). “The Philosophy of Bertrand Russell”. American Mathematical Monthly 53 (4): 210, and in a review by Laszlo Kalmar (Laszlo Kalmar (1946). “The Paradox of Kleene and Rosser”. Journal of Symbolic Logic 11 (4): 136. ).[1] The term was later popularized in a book by Paul Halmos.[2]
^ 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.
次ページ記事の検索おまかせリスト▼オプションを表示暇つぶしWikipedia
Size:58 KB
出典: フリー百科事典『ウィキペディア（Wikipedia）』
担当:undef