胡塞尔对数学哲学的影响

Husserl's Influence on the Philosophy of Mathematics

本文试图证明胡塞尔的现象学哲学对二十世纪至今的数学哲学发展产生了重要的影响。首先,我简要介绍了胡塞尔生前与其他数学家和数学哲学家的互动。接着,我重点论述了胡塞尔现象学对直觉主义数学哲学家威尔以及数学实在论者哥德尔的影响。以此,我希望表明,不仅胡塞尔哲学对数学哲学发展有着重大影响,并且在当前,胡塞尔的数学哲学思想还是鲜活的。

In this paper, I try to figure out Husserl＇ s influence on the philosophy of mathematics. In fulfilling this task, I hope I have dismissed the common prejudice that Husserl is not an important philosopher in terms of philosophy of mathematics. Accordingly, first I give some general historical account for Hussed＇ s interaction with his contemporary mathematicians and philosophers interested in Mathematics. Afterwards, I give detailed illuminations concerning Husserl＇ s influence on Hermman Weyl and Kurt Godel. Thus, Husserl＇ s work on the philosophy of mathematics is still alive today.