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论数学的真理困境——从实在论的角度看 被引量:1

On Benacerraf’s Dilemma in Mathematical Truth
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摘要 As for mathematical truth, the contemporary discussion in the philosophy of mathematics is focused on dealing with the dilemma described by Paul Benacerraf. All kinds of different realism and anti-realism seeking out of this dilemma have been the most important theories in current researches. This paper tries to analyze the nature of Benacerraf’s Dilemma and show the weaknesses of contemporary different ways out of this dilemma. Based on above analysis, it concludes that the best way stepping out of this dilemma is the contextual realism, which can obviate the epistemological challenges from antirealism in reasonable way and illuminate further researches on mathematical truth. As for mathematical truth, the contemporary discussion in the philosophy of mathematics is focused on dealing with the dilemma described by Paul Benacerraf. All kinds of different realism and anti-realism seeking out of this dilemma have been the most important theories in current researches. This paper tries to analyze the nature of Benacerraf’s Dilemma and show the weaknesses of contemporary different ways out of this dilemma. Based on above analysis, it concludes that the best way stepping out of this dilemma is the contextual realism, which can obviate the epistemological challenges from antirealism in reasonable way and illuminate further researches on mathematical truth.
作者 刘杰
出处 《哲学研究》 CSSCI 北大核心 2006年第12期76-82,共7页 Philosophical Research
基金 教育部重大课题攻关项目"当代科学哲学发展趋势研究"(项目编号04JED0004)资助。
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参考文献6

  • 1成素梅,郭贵春.语境实在论[J].科学技术与辩证法,2004,21(3):60-64. 被引量:8
  • 2Benacerraf, Paul, 1973," Mathematical truth", in The Journal of Philosophy, Vol. 70, No. 19 : pp. 661 - 679.
  • 3Field, Hartry, 1980, Science without Numbers, Oxford: Basil Blackwell.
  • 4Linnebo, Oystein, 2006," Epistemological challenges to mathematical Platonism" ,in Philosophical Studies 129 :pp. 545 -574.
  • 5Maddy, Penelope , 1990,Realism in Mathematics, Oxford: Oxford University Press.
  • 6Shapiro, Stewart, 1989," Structure and ontology", in Philosophical Topics 17 : pp. 45 - 71.

二级参考文献4

  • 1Jerrold L. Aronson, Rom Harre & Eileen Comell Way, Realism Rescued: How Scientific progress is possible, Gerald Duckworth & Co. Ltd (1994) : 136 - 137.
  • 2Jerrold L. Aronson, Rom Harré & Eileen Comell Way, Realism Rescued: How Scientific progress is IXw, sible, Gerald Duckworth & Co. Ltd (1994) : 133.
  • 3Fine Arthur, The Shaky Game: Einstein Realism and the Quantum Theory, London: The University of Chicago Press, Ltd. , 1986.
  • 4成素梅.量子非定域性概念的哲学内涵与意义[J].清华大学学报(哲学社会科学版),2004,19(1):9-15. 被引量:4

共引文献7

同被引文献11

  • 1Benacerraf, P. , 1973, "Mathematical truth", in The Journal of Philosophyv 70 ( 19 ).
  • 2Boolos, G. , 1998, "Is (HP) analytic?", in Logic, Logic and Logic, pp. 301 - 314, Harvard : Harvard University Press.
  • 3Frege, G., 1953, The Foundations of Arithrruetic (1884), trans, by J. L. Austin, Oxford: Blackwell.
  • 4Hale,B. , 1994, "Singular terms", in B. McGuinness and G. Oliveri( eds. ) , The Philosophy ofMicheal Dummet, Dordrecht: Kluwer.
  • 5MacBride, F. , 2003, "Speaking with shadows: a study of neo-logicism", in British Journal for the Philosophy of Science 54 (1) :pp. 103 - 163.
  • 6Pedersen, N.J. , 2003, "Considerations on neo-Fregean ontology", in Proceedings of GAP,5, Bielefeld: pp. 505 - 507 ; http ://nikolaj. bol. ucla. edu/NF-ontology-gap, pdf.
  • 7Putnam,H. , 1990, Realism with a Human Face, Cambridge,Mass. : Harvard University Press.
  • 8Wetzel, L. , 1990,"Dummett' s criteria of singular terms", in Mind 99(394) : pp. 239 -254.
  • 9Wright, C. , 1983, Frege's Conception of Numbers as Objects, Aberdeen: Aberdeen University Press.
  • 10Wright, C. , 1992, Truth and Objectivity, Cambridge, Mass. : Harvard University Press.

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