关于数学的摘抄

Krnoecker（克罗内克积的创始人）解释到我们为什么需要基本的概念：“当一个建筑大师要开始打地基时，他要先了解他即将在地基上安扎的房子。

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."