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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.
成素梅、郭贵春,2004年:《语境实在论》,载《科学技术与辩证法》第3期。
Benacerraf,Paul,1973,“Mathematical truth”,inThe Journal ofPhilosophy,Vol.70,No.19:pp.661-679.
Field,Hartry,1980,Science without Numbers,Oxford:Basil Blackwell.
Linnebo,θystein,2006,“Epistemological challenges to mathematical Platonism”,inPhilosophical Studies129:pp.545-574.
Maddy,Penelope,1990,Realism in Mathematics,Oxford:Oxford University Press.
Shapiro,Stewart,1989,“Structure and ontology”,inPhilosophical Topics17:pp.45-71.
基本信息:
中图分类号:O1-0
引用信息:
[1]刘杰.论数学的真理困境——从实在论的角度看[J].哲学研究,2006(12):76-82+125.
基金信息:
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。
2006-12-25
2006-12-25