数学说明及其哲学使命

发布时间：2018-03-10 19:39

本文选题：数学说明　切入点：爱因斯坦-维格纳之谜　出处：《自然辩证法研究》2017年09期 　论文类型：期刊论文

【摘要】：与科学说明相比,数学说明在数学哲学中长期遭到忽视。蒯因提出的不可或缺性论证、爱因斯坦-维格纳之谜以及数学哲学对数学实践的日趋重视,使数学说明重返哲学议程。数学自身内部对说明的需求和自然现象的数学说明都表明,数学不仅求真,而且寻求说明。哲学的使命就是要建立数学说明的相应标准、机制和模型,为数学决策提供建议,并推进对数学的本性、数学与世界及科学之关联的理解,为数学与科学统一的哲学解释搭建通道。
[Abstract]:Compared with scientific explanation, mathematical explanation has been neglected for a long time in mathematical philosophy. Quine put forward the indispensable argument, the riddle of Einstein Wagner and the increasing attention of mathematical philosophy to mathematical practice. To return mathematical explanation to the philosophical agenda. The mathematical description of the need for explanation and natural phenomena within mathematics itself shows that mathematics not only seeks truth, but also seeks explanation. The mission of philosophy is to establish corresponding standards for mathematical explanation. The mechanism and model provide advice for mathematical decision-making, and promote the understanding of the nature of mathematics, the relationship between mathematics and the world and science, and build a channel for the philosophical interpretation of the unity of mathematics and science.
【作者单位】：山西大学科学技术哲学研究中心;
【基金】：教育部人文社会科学重点研究基地重大项目(12JJD720012);教育部新世纪优秀人才支持计划“基于集合论实践的数学哲学研究” 山西省高等学校人文社会科学重点研究基地项目(2015301)
【分类号】：O1-0

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