悖论对数学发展的影响

The Influences of Paradoxes on the Development of Mathematics

通过对数学史上一些重要悖论的分析说明“悖论的产生———悖论的解决———新悖论的产生”这个循环过程是数学思想和方法获得重大发展的过程。

This paper analyzes some important paradoxes in the mathematics development and shows that the circular process of “the generating of a paradox——the resolving of it——the generating of a new one” is the process that gives mathematic thoughts and methods great development.