论中国逻辑与中国传统数学

中国传统数学受到了中国逻辑尤其是墨家逻辑的影响,形成了自己的推理方法体系--以"以类合类"为方法论基础,以"类"和"分类"为推理的核心成分,以"推类"为主导推理范式.这一方法体系,在相当长的时期内使中国传统数学处于世界的领先地位,因此,可以下这样的结论:中国逻辑不是阻碍中国传统数学进一步发展的因素,中国传统数学自身逻辑思路也不是制约中国传统数学发展的原因.

On the Chinese Logic and the Mathematics of Ancient China

The traditional Chinese mathematics had been influenced by Chinese logic, especially Mohist logic, and formed its own reasoning system--with "using LEI (type) to match LEI (type)" as the foundation, and LEI(analogy) as the core, TUILEI as the leading reasoning mode. This system of methods had put traditional Chinese mathematics leading the world for a long time. Consequently, we can draw this conclusion: Chinese logic was not the element that hindered further development of traditional Chinese mathematics, and the logic path of traditional Chinese mathematics oneself logic was not the reason of restricting the development of traditional Chinese mathematics.