贝克莱的数学哲学思想探微

On Berkele's Thought of Mathematics Philosophy

数学哲学是一门研究数学法则规律的学问,是抽象化了的数学思想,属于边缘性学科。该文秉持思想渗透哲学的精神,通过对贝克莱与其所处时代著名数学家理论的对比和分析,深入剖析了无穷小等概念,对贝克莱的几何学、数学语言等思想进行深入分析,逐步具体化、系统化贝克莱的数学哲学批判理念,为了解贝克莱的数学哲学思想奠定了基础。

Mathematics philosophy, a marginal subject, is a science to study mathematical laws and it is an abstract mathemati-cal thought. Based on the concept of penetration of thought into philosophy, this paper, by comparing and analyzing the theories of the other famous mathematicians of Berkeley’s time, makes a deep research into the concept of infinitesimal and Berkeley’s thought on geometry and mathematical linguistics so that Berkeley’s critical ideas about mathematics philosophy can be specified and system-atized, which sets a foundation for understanding Berkeley’s thought of mathematics philosophy.