Definitions of Yin-Yang Based on Set Partitioning Theory
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 divi-sion 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 U B=I 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.
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