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 |
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 |
A Tendency of Mystifying Mathematics--Comment on ``The Fate of Infinitesimal and Ponderation on Mathematical Motive Force'' |
投稿时间:2005-10-11 修订日期:2006-07-03 |
DOI:10.3770/j.issn:1000-341X.2007.04.051 |
中文关键词: 非欧几何 真理性 相对性 旧形而上学. |
英文关键词:non-Euclidean geometry truth relativity old metaphysics. |
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中文摘要: |
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. |
英文摘要: |
In [1], a conclusion that we must abandon the fantasy to explain the application of Mathematics 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 destroyed is transcendental truth of old metaphysics; and the application that the concrete mathematical theories have showed in practice depends on its concrete truth. |
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