蔡沉范数之学探微

发布时间：2018-01-08 20:06

本文关键词：蔡沉范数之学探微　出处：《周易研究》2017年03期 　论文类型：期刊论文

【摘要】：蔡沉在其《洪范皇极内篇》中象与数对举,建立了一套范数学体系,从象与数的关系来说,象学体系中有数,数学体系中有象,二者不是截然相分的。象学体系与数学体系的区别在于,象学体系是一套以数字二为基数的推衍模式,数学体系是一套以数字三为基数的推衍模式。蔡沉范数学的目的是"因数以明理",数只是一种明理的工具。数的变化关涉自然界阴阳消长的规律,数还能穷该万事万物,万事万物都能以数的形式进行表达。蔡沉极为重视处于洛书九个数中间位置的数字五,并由此阐发了他由"中"及"皇极"的理学思想。数是一种明理的方式,它穷该万物绝不是对事物的量化;蔡沉的数,哲学的意味重,科学的意味浅。
[Abstract]:Cai Shen, in his "Hongfan Emperor's Polar", sets up a set of normal mathematical systems. In terms of the relationship between images and numbers, there are numbers in the system of iconology, and there are images in the system of mathematics. The difference between the two systems is that the system of iconography is a set of deductive models based on the number two. The mathematical system is a set of deductive model based on the number three. Cai Shenfan's mathematics aims at "the factor depends on the understanding", and the number is only a tool of understanding. The change of the number is related to the law of the growth and decline of the natural world. The number can also be poor all things, all things can be expressed in the form of numbers. Cai Shen attached great importance to the number of five in the middle of the nine numbers in Luo Shu. From this, he elucidated his Neo-Confucianism thought of "Zhong" and "Huang Ji". Number is a rational way, and it is not the quantification of things. Cai Shen's number, the meaning of philosophy is heavy, the meaning of science is shallow.
【作者单位】：山东大学儒学高等研究院;
【基金】：2014年国家社科基金重大项目“朱子门人后学研究计划”(14ZDB008)子课题:“蔡氏易学研究”
【分类号】：B244.99
【正文快照】： 蔡沉(1167-1230),字仲默,人称九峰先生,南宋著名的理学家、经学家,著有《书集传》、《洪范皇极内篇》(又名《洪范皇极内外篇》)。《洪范皇极内篇》是一部以《易》演《范》的著作,在其中蔡沉构建了他的《洪范》数学体系,以与《周易》象学对待。对于范数学与易象学的区分,林忠军

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