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.
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。