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中国古代先哲对数学的哲学思考
引用本文:代钦.中国古代先哲对数学的哲学思考[J].内蒙古师范大学学报(哲学社会科学版),2004,33(2):30-32,45.
作者姓名:代钦
作者单位:内蒙古师范大学数学科学学院,内蒙古,呼和浩特,010022
基金项目:内蒙古自治区高等学校科研项目"中国古代哲学与中国传统数学的关系之研究",批准号NJ02031。
摘    要:笔者简要论述了古希腊哲学家毕达哥拉斯、柏拉图、亚里士多德对数学对象的存在方式和“万物的本原是一”的认识以及对“1”本身的深入研究。在此基础上,从比较的视角深入分析了中国古代思想家老子、庄子、苏轼对数的“道”—“数”—“万物”生成模式和尹文子、墨家的思想家、刘徽和朱世杰等著名数学家对数的“十进制生成模式”的辩证思想和对“1”的哲学思考。

关 键 词:数学哲学  中国古代哲学家  中国古代数学家

SAGES PONDERED OVER PHILOSOPHICAL MATHEMATICS IN ANCIENT CHINA
Daiqin.SAGES PONDERED OVER PHILOSOPHICAL MATHEMATICS IN ANCIENT CHINA[J].Journal of Inner Mongolia Normal University (Philosophy & Social Science),2004,33(2):30-32,45.
Authors:Daiqin
Abstract:The author concisely expounds the understanding of existing ways of the mathematics targets and the thought that "the origin of the ten thousand things of creation was one" and a deep study of "one" itsesf was made by Pythagoras, Platon, Aristotle. On the basis of this and at the visual angle of comparison the author analyses the formation models of "the Taoi" - "Number" - "the ten thousand things of creation" by ancient Chinese thinkers, such as Lao Zi, Zhuang Zi and Su Shi and the dialectical thought of the formation model of the decimal system and the philosophic reflection on "one" by Yin Wenzhi, Mohist School thinkers, Liu Hui and Zhu Shijie and some others.
Keywords:mathematical philosophy  philosophers in Ancient China  mathematicians in Ancient China  
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