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In recent 50 years,the debate between mathematical realism and anti-realism has been dominating the mainstream development in the contemporary philosophy of mathematics. Penelope Maddy proposed a naturalistic set theoretic realism in 1990. This project brings the philosophy of mathematics a new research idea,that is,philosophy should attach importance to mathematical practice. This article will critically analyze Maddy's naturalistic set theoretic realism on the basis of research paradigm background belief. By analyzing Maddy's strategy,this article will try to make the task of the philosophy of mathematics clearer and put forward some necessary conditions needed by a reasonable research paradigm for the philosophy of mathematics.
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郭贵春、康仕慧,2009年:《走向语境论世界观的数学哲学》,载《科学技术哲学研究》第4期。
Balaguer,M.,1998,Platonism and Anti-Platonism in Mathematics,New York:Oxford University Press.
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Leng,M.,2002,Proof,Practice,and Progress,Doctorial Dissertation of Philosophy,microform edition,ProQuest Information and LearningCompany.
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基本信息:
中图分类号:O1-0;N02
引用信息:
[1]康仕慧,郭贵春.自然主义集合实在论与数学哲学研究范式[J].哲学研究,2010(04):92-101+129.
基金信息:
教育部人文社会科学研究基金青年项目“基于数学实践的当代数学实在论研究”(编号08JC720008);; 国家社会科学基金青年项目“数学的本质与实在世界:一种语境论世界观的哲学探索”(编号09CZX013);; 国家社会科学基金一般项目“语义分析方法与当代科学哲学的发展”(编号08BZX022)的资助
2010-04-25
2010-04-25