Russell＇s Paradox of Predicates
Russell＇s Paradox of Predicates
摘要
Russell＇s letter to Frege of June 16, 1902 contains the famous paradox of the class of all classes which are not members of themselves as well as a second paradox of the predicates that cannot be predicated of themselves. The latter paradox arises out of Russell＇s theory of classes and class concepts in Principles of Mathematics.
Russell＇s letter to Frege of June 16, 1902 contains the famous paradox of the class of all classes which are not members of themselves as well as a second paradox of the predicates that cannot be predicated of themselves. The latter paradox arises out of Russell＇s theory of classes and class concepts in Principles of Mathematics.
参考文献31
-
1Beaney, Michael. 1996. Frege: Making Sense, London: Duckworth.
-
2Benacerraf, Paul. 1964. Philosophy of Mathematics. London: Prentice-Hall.
-
3Boolos, George. 1985. "Reading the Begriffschrift." Mind 94.375:331-34.
-
4Burgess, John P. 2005. Fixing Frege. New Jersey: Princeton and Oxford: Princeton University Press.
-
5Byrd, Michael, 1994. "Part V of The Principles of Mathematics." Russell 14.1 : 47-86.
-
6Cantor, Georg. 1899. "Letter to Dedekind," in van Heij'enoort (1967), I 13-17. Cambridge: Harvard University Press.
-
7Ebbinghaus, Hanz-Dieter, and Volker Peckhaus. 2007. Ernst Zermelo: An Approach to His Life and Work. Berlin: Springer-Verlag.
-
8Frege, Gottlob. 1893/1903. Grundgesetze der Arithmetik. Band I/II. Jena: Verlag Hermann Pohle.
-
9Frege, Gottlob. 1902. 1967. "Letter to Russell," in van Heo'enoort (1967), 127 28.
-
10Gfidel, Kurt G. 1964. "What Is Cantor's Continuum Problem?" in Philosophy of Mathematics, edited by E Benacerraf and H. Putnam, 258-73. London: Prentice-Hal/.
二级参考文献27
-
1《算术基础》第9节.
-
2Frege: Grundgesetze der Arithmetik, Band I/II, Jena: VerlagHermann Pohle, 18930.
-
3Frege.. Grundgesetze der Arithmetik, p. 36.
-
4Zermelo, Ernst, "A New Proof of the Possibility of a Well-Ordering", in van Heijenoort (1967), 1：8, 1： 183 -198.
-
5Ebbinghaus, Hanz-Dieter (with Volker Peckhaus), Ernst Zermelo : An Approach to his Life and Work, Berlin: Springer-Verlag, 2007, pp. 45 - 47.
-
6Peekhaus, Volker, "Paradoxes in Gfittingen", in G. Link, ed. , One Hundred Years of Russell's Paradox, Berlin: de Gruyter, 2004, pp. 505 -506.
-
7Ebbinghaus, Ernst Zermelo : An Approach to his Life and Work, pp. 46 - 47.
-
8Fraenkel, Abraham Adolf, Zehn Vorlesungen Uber die Grundlegung der Mengenlehre, Teubner: Leipzig and Berlin, 1927.
-
9Ebbinghaus, Ernst Zermelo : An Approach to his Life and Work, p. 45 - 47.
-
10Husserl, Edmund: Aufsatze und Rezensionen (1890- 1910), Bernhard Rang,ed., Husserliana XXll, 1979, p. 399.
-
1CHEN Xiaoping.Sense and Reference of Predicates： Comments on Frege＇s Theory of Sense-Reference[J].Frontiers of Philosophy in China,2012,7(2):270-283.
-
2格言[J].读写月报（新教育）,2009(6):8-8.
-
3周双娥,陈迪春."Paradox"修辞格--"反差"中实现的统一[J].浙江师范大学学报（社会科学版）,2001,26(z1):158-159.
-
4吴枫北.语用学视角下的矛盾修辞法翻译研究[J].海外英语,2013(19):153-155.
-
5杨松芳.论矛盾修辞[J].辽宁教育行政学院学报,2005,22(3):102-104. 被引量：2
-
6WANG Huan.Discourse analysis： Analysis of cohesive devices in Russell＇s Views on Life[J].Sino-US English Teaching,2010,7(6):42-50.
-
7吴婷婷.罗素悖论是否有解[J].赤峰学院学报（哲学社会科学版）,2013,34(9):32-34.
-
8陈旭.对What I Have Lived for节选段的及物性分析[J].海外英语,2011(4X):231-232.
-
9褚静.中英预设触发语研究综述[J].沈阳工程学院学报（社会科学版）,2007,3(3):410-412. 被引量：2
-
10曹萍.简论修辞格Irony、Paradox和Oxymoron及其区别[J].淮北师范大学学报（哲学社会科学版）,1996,28(1):132-134.
