Definitions of Yin-Yang Based on Set Partitioning Theory
10.13288/j.11-2166/r.2024.24.002
- VernacularTitle:阴阳的集合划分定义
- Author:
Ruixiang CHEN
1
Author Information
1. School of Chinese Materia Medica，Beijing University of Chinese Medicine，Beijing，102488
- Publication Type:Journal Article
- Keywords:
yin-yang;
set partitioning;
complementary set
- From:
Journal of Traditional Chinese Medicine
2024;65(24):2504-2509
- CountryChina
- Language:Chinese
-
Abstract:
This paper investigated the corresponding relationships between wuji （无极）， taiji （太极）， yin-yang （阴阳） and certain mathematical concepts， i.e. wuji directly corresponds to the empty set， the number 0 and the intial origin； taiji corresponds to the universe set， the number 1 and the unit circle； yin-yang directly corresponds to the binary opposition division of universe set， the combination of numbers or characters 0 and 1， and the binary division of unit circle （into upper and lower semicircles， or left and right semicircles）. In addition， the definitions of set descrication， set partitioning， and the set of basic equations （in a generalised sense） for yin and yang were given. The relationships between two set equations A⋂B=∅, A⋃B=I
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and unity of opposites were discussed， and the relationships between yin-yang sets and mutual complementary sets， oppositional events of yin and yang were explored. The basic properties of yin-yang sets are illustrated by the definition of yin-yang set partitioning， so as to reveal the basic laws of yin-yang transformation.
