五行公理系统中“T(土)行”的四种有序偶表达式与四种五角形生克模型——五行理论体系的系统化(三)

The Ordered Pair Definition and Corresponding Relation of Generation and Restriction in Five-phase Axiomatic System: Four Ordered Pair Expressions of “Earth(T) Element”and Four Quinquangular Models of Generation and Restriction

五行公理系统是指可以公理化的五行抽象系统,在此系统中,"T(土)行"与其他四"行"不同,有四种有序偶表达式。对于"T(土)行"每一种表达式,根据五行生克定义和系统完整性规定,可以严格推导出唯一的五行系统生克关系(五角形生克模型),不仅在抽象系统层面解决了长期争议的五行系统生克关系及其唯一性问题,而且有助于形成一种新的数学关系(含主体元素的生克关系),体现出中医与数理学科的相互促进关系以及以中医为主体和出发点的研究方法。

Five-phase axiomatic system refers to axiomatizable five-phase abstract system in which the earth（ T）element,differs from the other four phases,and has 4 ordered pair expression. According to the generation and restriction cycle of the five phases and the integrate convention of the system,each expression of T element can deduces the only generation and restriction relationship of five-phase system（ quinquangular model of generation and restriction）,which can not only solve the controversial problem of generation and restriction relationship and uniqueness of five-phase in the level of abstract system,but also is conducive to form a new mathematical relation（ including generation and restriction of the major elements）,and embodying the mutual promotion of Chinese medicine and mathematics and science and the study method of taking Chinese medicine as principal and starting point.