论“后天八卦”中的数理内涵──兼论《禹贡》和《太玄》对称三进制

On the Mathematical Intension Conceived in the Postnatal Eight Trigrams

"先天八卦"中具有数理内涵,同样,"后天八卦"中亦具有数理内涵。前者呈二进制形态,后者则为三进制形态。《系辞》曰:"太极生两仪,两仪生四象,四象生八卦。"其实,四象生八卦有两种不同的逻辑法则,这两种不同的逻辑法则导致二进制八卦与三进制八卦。而且"后天八卦"与五行具有内在的关联,因此,"后天八卦"中的数理内涵比"先天八卦"中的数理内涵更显丰富。

The Prenatal Eight Trigrams has mathematical intension which is a binary system;the Postnatal Eight Trigrams also has mathematical intension which is a ternary system.In the Great Treaties,it said,＂Taiji（Ultimate Grand） produces the two modes,the two modes produce the four images,the four images produce the eight trigrams.＂ There are two kinds of logics in ＂the four images produce the eight trigrams＂.The two logics result in binary eight trigrams and ternary eight trigrams.The Postnatal Eight Trigrams is related with the five elements,so it has a more rich mathematical intension.