论数学的真理困境——从实在论的角度看  

On Benacerraf’s Dilemma in Mathematical Truth

作　　者：刘杰[1] 

机构地区：[1]山西大学科学技术哲学研究中心

出　　处：《哲学研究》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。

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.

关 键 词：数学真理 实在论 数学解 学理论 认识论 放弃 

分 类 号：B085[哲学宗教—哲学理论]