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马王堆帛书周易卦序的数学建构

On the Mathematical Structure of the Hexagram Order in the Silk Book Zhou Yi of the Mawangdui Tomb in Han Dynasty
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摘要 1973年底马王堆三号汉墓出土帛书周易,其卦序与今本周易不同.本文按照莱布尼兹的观点,应用数学方法提出易经卦位、卦数、卦值的定义,提出伏羲卦、太乙卦的构造公式,重点讨论帛书周易卦序的数学构造方法.本文认为卦序是反映易理的主要因素,帛书周易卦序的数学再建提供了新的途径,来认识汉初之前易学家构造帛书周易的方法. In 1973, the Silk Book of Zhou Yi was excavated in No. 3 Mawangdui Han tomb, in which the hexagram order is different from today's Zhou Yi book. Based on G. W. Leibniz's idea, this paper applies the mathematical method to give new definitions of the hexagrams' positions, number and numerical in this Change Book (Zhou Yi Book). It presents formulas of the hexagram of Fu Xi and Tai Yi, focusing on the mathematical structure formula of the hexagram order of Zhou Yi in the Silk Book. We argue that the hex- agram order is the main factor to reflect the Changing theory (Zhou Yi theory), The mathematical structure of the hexagram order of Zhou Yi provides a new way to understand the constructing methods of Zhou Yi in the Silk Book by the Zhou Yi scholars in the early Han Dynasty.
作者 罗见今 LUO Jianjin(Institute for the History of S & T, Inner Mongolia Normal University, Huhhot 010022 China)
出处 《高等数学研究》 2017年第1期8-12,共5页 Studies in College Mathematics
关键词 马王堆三号汉墓 帛书周易 周易卦序 卦位 卦值 数学结构 Mawangdui Han tomb No. 3, Zhou Yi the Silks Book, hexagram order of Zhou Yi, hexa gram position, hexagrams' numbers, hexagram numerical, mathematical structure
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