现行易卦二进制解释与传统易学思想的矛盾及其消解

本文对现行易卦二进制解释及其流变依其内在发展逻辑作了一个概要的历史回顾 ,并重点揭示现行易卦二进制解释与传统易学理论的矛盾 ,从而寻求更接近史实、更贴近易理的阴阳爻配应方案 ,根据传统的“阳一阴二”法则 ,就易卦与现行二进制的内在关联性给出数学上的说明 ,指出“先天易”系统是自在的、完备的自然数序的计数系统。

Current Interpretations of Hexagrams under a binary System and Traditional Theories about Yi Jing Studies:Their Contradiction and Resolution

The first part of the article reviews the current interpretations of hexagrams under a binary system in accordance with their inner logic of development, and the second part chiefly exposes the contradiction between the interpretations and traditional Yi Jing(The Book of Changes)theories. First, the interpretations depart from the concept "An odd number represents yang and an even mumber represents yin" in Yi Jing. Second, "qian(heaven)"or"kun(earth)"occupies the only origin "0" in maths, which destroys the balance and symmetry between the two. Third, in traditional Chinese ideology, only such categories as "Tao","the Absolute"and "nothingness" can match "0" in maths.Fourth, "0"was not regarded as a whole number long after Yi Jing came into being in China. Therefore, the current interpretations can accord with neither historical facts nor the principles of Yi Jing.The third part tries to find a relevant programme closer to historical facts and the principles of Yi Jing for the formation of whole and broke lines, mathematically illustrates the inner relations between hexagrams and the binary system, and points out that the "connate Yi Jing" is a natural and complete counting system of number sequence.