摘要
沈有鼎先生的卦序论“是对周易卦序真正科学研究的开始”,“分形易学”则是理解沈有鼎卦序论的一条路径。沈有鼎的卦序论符合分形的三项标准:形式上的相似与自相似;建构上的重复与迭代;表现上的简单与繁复的统一。事实上,马王堆帛书《周易》的建构、宋人邵雍和清人崔东壁所云皆表现出明确的分形特征。就此而言,沈氏卦序论反映了自古以来的“分形易学”传统,这一传统至少可上溯至汉易。分形易学涉及自然、人文、社科、认知等领域,意义深远,亟待学者关注与推进。
Shen Youding’s(1908-1989)theory of hexagrams’sequence“is the real beginning of the scientific study of Zhouyi’s sequence of the hexagrams,”and the Fractal Studies of the Changes is a way to understand Shen Youding’s theory.Shen’s theory meets the three criteria for fractals:similarity and self-similarity in form;repetition and iteration in construction;unity of simplicity and complexity in representation.In fact,the construction of the Mawangdui silk manuscript of Zhouyi,and the descriptions from the Song(960-1279)scholar Shao Yong(1011-1077)to the Qing(1636-1912)scholar Cui Shu(1740-1816)all manifested clear fractal characteristics.In this regard,Shen’s study of hexagram order reflects the tradition of the Fractal Studies of the Changes which can be traced back at least to Changes scholarship in the Han dynasty(202 BCE-220 CE).The Fractal Studies of the Changes involves the fields of natural science,humanities,social sciences,cognition,etc.It has far-reaching significance and urgently needs scholars’attention and promotion.
出处
《周易研究》
CSSCI
北大核心
2021年第4期31-36,共6页
Studies of Zhouyi
关键词
分形
分形易学
沈有鼎
卦序
fractal
the Fractal Studies of the Changes
Shen Youding
hexagrams’sequence
