中国逻辑如何影响中国传统数学(英文)

中国传统数学在中国古代逻辑特别是墨家逻辑的影响下,形成了自己的推理体系,即:以"以类合类"为基本方法,以"类"和"分类"为核心成分,以"推类"为主导推理形式。正是由于这一推理体系,使得中国传统数学在相当长的时期内保持世界的领先地位。因此,我们可以得出这样的结论:中国逻辑不是阻碍了中国传统数学进一步发展的因素,换句话说,中国传统数学所蕴含的逻辑方法并不是阻碍其进一步发展的原因。

How did Chinese Logic Influence Traditional Chinese Mathematics

Traditional Chinese mathematics were influenced by Chinese logic, especially by the Mohist logic. They formed their very own system of reasoning, which were founded upon the method of matching types （Lei类）. The very core of this method was the process of analogy （Tui Lei推类）, which served as the leading mode of ancient Chinese mathematicsal reasoning. Due to its methodological system, traditional Chinese mathematics found themselves at the very top of thought throughout the world, a situation that held on for a considerable amount of time. Consequently, we can conclude that Chinese logic was not the element that hindered the fur-ther development of traditional Chinese mathematics. In other words, the logical methods that formed the core of traditional Chinese mathematics were not the reason for the later restrictions, which hindered its further development.