中西数学哲学的差异:精度与测度
Difference of Mathematical Philosophy between China and West: Precision and Measure
DOI: 10.12677/ACPP.2013.21002, PDF, HTML, XML, 下载: 2,831  浏览: 9,464 
作者: 熊 辉, 蔡思洁:东莞理工学院数学教研室,东莞
关键词: 数学哲学精度测度数学危机集合悖论 Mathematical Philosophy; Precision; Measure; Mathematical Crisis; Paradoxes of Sets
摘要:

利用精度与测度这两个基本的数学概念,简述了中、西两方数学哲学的特点及差异;再以数学危机为例,比较了双方对后世数学体系的结构所产生的影响力,并做了一些评述。

Abstract:

By two common mathematical conceptions, precision and measure, the difference of mathematical philosophy between the China and the West is stated. Again through the three mathematical crisises, the influence over the behind mathematical structure imposed by the duplex philosophy are compared with each other. Furthermore, some comments are presented else.

文章引用:熊辉, 蔡思洁. 中西数学哲学的差异:精度与测度[J]. 哲学进展, 2013, 2(1): 5-9. http://dx.doi.org/10.12677/ACPP.2013.21002