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.
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.
关键词
非欧几何
真理性
相对性
旧形而上学
non-Euclidean geometry
truth
relativity
old metaphysics.