论中期维特根斯坦的数学哲学观

On Mid-Wittgenstein's Philosophy of Mathematics

学界一般认为,维特根斯坦的数学哲学观有前期、中期和后期之分。在1928年之前,数学的强证实观点是维特根斯坦的早期观点;从1929年至1933年是维特根斯坦中期思想时期,1934年至1944年基本上是其后期思想时期。目前,学界关于维特根斯坦中期数学哲学观的阐发尚较鲜见。那么,作为其前期与后期数学哲学思想转变的纽带,维特根斯坦的中期数学哲学思想究竟是怎么样的呢?本着这一目的,文章着力分析和阐述了维特根斯坦中期数学哲学的主要思想。

It is generally believed that Wittgenstein＇ s philosophy of mathematics has a demarcation of the three different periods, such as the early, the middle and the later. Wittgenstein＇ s early view for mathematics is the strong verification; and the middle period is from 1929 to 1933, the later period is from 1934 to 1944. However, there are not so many scholars to study his middle period idea of mathematics, and his middle period idea of philosophy of mathematics is so essential for him. Then, what exactly is the thought that he has expressed in the transition period？ Therefore, this paper aims to analyze and explain the middle period mathematical philosophy of Wittgenstein.