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一种将数学神秘化的倾向--评《无穷小量的命运及对数学发展动力的思考》一文
引用本文:李玮,谢琳.一种将数学神秘化的倾向--评《无穷小量的命运及对数学发展动力的思考》一文[J].数学研究及应用,2007,27(4):967-970.
作者姓名:李玮  谢琳
作者单位:辽宁师范大学数学学院,辽宁,大连,116029
摘    要:陈学云在文献1]中给出一个结论:我们必须丢掉用数学真理性来解释数学适用性的幻想.我们认为这实际上是在宣扬一种数学神秘主义的观点;而数学主体内容的发展摧毁的是旧形而上学的先验"真理"观;具体数学理论在人类实践活动中显示出来的适用性,依赖于其具体的"真理"性.

关 键 词:非欧几何  真理性  相对性  旧形而上学.
文章编号:1000-341X(2007)04-0967-04
收稿时间:2005/10/11 0:00:00
修稿时间:7/3/2006 12:00:00 AM

A Tendency of Mystifying Mathematics--Comment on ``The Fate of Infinitesimal and Ponderation on Mathematical Motive Force'
LI Wei and XIE Lin.A Tendency of Mystifying Mathematics--Comment on ``The Fate of Infinitesimal and Ponderation on Mathematical Motive Force''[J].Journal of Mathematical Research with Applications,2007,27(4):967-970.
Authors:LI Wei and XIE Lin
Institution:School of Mathematics, Liaoning Normal University, Liaoning 116029, China
Abstract:In 1],a conclusion that we must abandon the fantasy to explain the application of Mathe- matics by its truth is given by Chen Xue-yun.But in our point,it is actually publicizing a viewpoint of the"mysticism"about Mathematics.What the development of the main content of Mathematics de- stroyed is transcendental truth of old metaphysics;and the application that the concrete mathematical theories have showed in practice depends on its concrete truth.
Keywords:non-Euclidean geometry  truth  relativity  old metaphysics
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