摘要
基于文化背景的差异,中国与西方对黄金分割的理解、推理与研究风格迥异.明末《几何原本》把黄金分割介绍到中国,其公理化的逻辑推理体系,使得中算家在耳目一新的同时,又不甚理解.在浓郁的中算传统影响下,充满功用主义的中算家首先考虑的是黄金分割如何使用.同时,在对黄金分割研究的推理论证过程中,经验与演绎也交相辉映.通过展现清初中算家对黄金分割多样的推理论证,呈现西方逻辑演绎体系逐渐被中算家所接受的过程.
Due to the cultural differences,the understanding and research on the golden section by the Chinese scholars in the 17^th century are distinctively different from their counterpart in the West.In the late Ming Dynasty,it was through Euclid’s element that the gold section was introduced into China.The novelty was seen by Chinese mathematicians in terms of the logic reasoning even though their understan-ding might be incomplete.Under the strong influence of Chinese tradition,Chinese scholars’ first consideration was focused on how to use the golden section as they were mindful of the utility of knowledge.At the same time,in the process of making rgumentation in understanding the gold section,experience and deduction also interacted with each other and the Western logical deduction system was accepted among the Chinese mathematicians gradually.
作者
董杰
DONG Jie(Institute for the History of Science,Inner Mongolia Normal University,Hohhot 010022,China)
出处
《内蒙古师范大学学报（自然科学汉文版）》
CAS
2019年第6期523-527,共5页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
国家社会科学基金青年资助项目(17CZS052)
关键词
黄金分割
理分中末线
逻辑推理
功用传统
golden section
logical deduction
utilitarianism
Chinese mathematical tradition
