从认识论看数学发展的阶段性——兼论数学史的分期

A discussion on the phase of development of mathematics from the view of epistemology and the partition of mathematical history

从认识论的角度分析了人类数学认识的"观念发生、经验积累、语言建构"的特征。以此为标准,通过对世界数学历史的系统分析,将整个数学发展过程划分为8个阶段。其中包括:原始观念发生、古巴比伦和埃及经验数学的繁荣、希腊演绎体系和中国算法体系的建构、东方数学的经验性延伸、文艺复兴与近代数学观的发生、近代数学的经验积累、现代数学的观念发生和现代数学的形式化语言建构等。由此,得到一种新的数学史分期法。

In the view of epistemology and by analyzing the character of mathematics as the genesis of idea the experiential accumulating and language construction, partition of the story of mathematics have been given as eight periodes,including the original genesis of idea/the accmulating of mathematics in ancient Egypt and Babylon/the constructing of mathematics deduction in Greek as and as alogical in China/the experiential developing of mathematics in east world/Revival of learning and genesis of modern mathematics/the accumulation of modern mathematics/the formal construction of modern mathematics.By then another way to partition the story of mathematics is conceived.