中国数理哲学续论:从“混沌—崩裂”到“七日来复”  

Chinese Mathematical Philosophy:Continued Discussion from the “Chaos-Bursting” to the “Returning in Day Seven” Mathematics

作　　者：邢文 XING Wen

机构地区：[1]南京晓庄学院文学院,江苏南京211171

出　　处：《周易研究》2022年第3期29-35,共7页Studies of Zhouyi

摘　　要：在中国古代之数的基本体系中,一、三、五、七之数实为易数的不同表现。《乾凿度》所记一、七、九,可藉谢尔宾斯基三角形观其分形数理,见“混沌”为一,“崩裂”为七、为九的“混沌—崩裂”分形之数。九宫数与“三”“五”关联密切,而“文王演《易》”很可能是潜心推演九宫数及其中数“五”。深究“三”“五”之数理,可以定天下之象、见天下之吉凶。复卦“七日来复”、震卦“七日得”、《庄子》“七日”“七窍”之“七”均与“混沌—崩裂”之数直接相关。震作为“七”的分形之数的集合,兼具“混沌—崩裂”之数理与象义。在东西方哲学与人类文明的大背景中,中国数理哲学之“历史”,“推动”并“接续—推动”着人类“哲学”与“科学”的“历史”与“自由”。In the basic system of ancient Chinese numbers, the numbers One, Three, Five, and Seven are all variant manifestations of the numbers of the Changes. The Sierpinski Triangles illustrate the fractals of numbers One, Seven, and Nine documented in the Qian zao du, where fractal numbers of “Chaos-Bursting” can be identified, i.e., the number of “Chaos” is One, and the numbers of “Bursting” are Seven and Nine. The numbers of Nine Palaces are closely related to the numbers of Three and Five. The so-call “King Wen developed the Book of Changes” likely talks about King Wen’s painstaking deduction of the numbers of Nine Palaces and their central number Five. It is the concentration on the mathematics of Three and Five that helps us to determine the imagery and observe the auspicious and the inauspicious under the Heaven. The present study argues that Seven in transmitted texts, such as “Returning on day Seven” in the Fu hexagram statement and “Obtained on day Seven” in the Zhen line statement of the Book of Changes, directly relates to the numbers of “Chaos-Bursting”. As a set of fractals of Seven, hexagram Zhen has both the mathematics and the imagery of the “Chaos-Bursting” numbers. In the context of the Eastern and the Western philosophy and human civilizations, the “history” of Chinese Mathematical Philosophy “promotes” and will “continue to promote” the “history” and “freedom” of the human “philosophy” and “science”.

关 键 词：中国数理哲学 混沌—崩裂 大衍之数 顺逆数理 七日来复 

分 类 号：B244.99[哲学宗教—中国哲学]