从“空间”的由来演化看数学哲学的基本问题

Viewing basic problems in philosophy of mathematics in terms of the development and evolution of “space”

从数学中“空间”概念的由来与演化的五个方面入手 ,阐述了这一概念的发展演变过程 ,由这一概念的不断演化 ,说明这一学科内容的不断充实与完善 ,并对由此引出的数学哲学方面的几个问题作了一些探讨。

This paper analyzes the development of the concept of “space” in mathematics in terms of its origin, evolution, etc, in order to elaborate how the contents of this subject got improved and perfected. Some problems in philosophy of mathematics are also discussed.