数学理论的超前性刍议

Exploring the Precedence of Mathematical Theories

从大量的数学史实中得出结论：数学理论具有超前性．它有两层涵义，一是相对于实际需要的超前性，二是对于实际应用的超前性．进而从客观世界的有序性、科学的数学化和数学的抽象性三个方面对超前的原因进行了探讨．最后强调说明，尽管数学理论具有超前性，但它的发展仍然遵循着“实践——理论——实践”

The conclusion can be drawn from the history of mathematics that mathematical theories have the characteristic of precedence,both in practical needs and in practical activities.The reason why mathematical theories have this characteristic is dissucussed in this article.It lies in the sequence of objective world,the mathematization of science and the abstraction of mathematics.In spite of their precedence,mathematical theories,like anything else,follow the basic law of dialetical materialism:theory comes from practice and then goes back to practice.