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Kronecker explains the need for fundamental concepts in a most fascinating way as follows: “Clearly, when a reasonable master builder has to put down a foundation, he is first going to learn carefully about the building for which the foundation is to serve as the basis. Furthermore, it is foolish to deny that the richer development of a science may lead to the necessity of changing its basic notions and principles. In this regard, there is no difference between mathematics and the natural sciences: new phenomena overthrow the old hypotheses and replace them by others."
Vladimir Arnold: "Mathematics - a servant of science, and it must explain every science that really makes this science."
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原文地址:http://www.cnblogs.com/postmodernist/p/4149291.html