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《说卦》是论述八卦的卦象及其性质的经典文本。现代易学倾向于从矛盾关系分析八卦的性质。八卦中包含哪四对矛盾呢?学界主要有两种观点:一种观点是以阴阳相错(对待)关系判定八卦之间的矛盾关系,一种观点是以“非覆即变”关系判定八卦之间的矛盾关系。一般认为八卦中的矛盾关系所反映的问题是哲学问题,但实际上同时也是数学问题。以阴阳相错(对待)关系分析卦象矛盾所对应的数学模型是二进制型布尔代数,以“非覆即变”关系分析卦象矛盾所对应的数学模型是太极代数四元逻辑模型。但是,二进制型布尔代数有悖太极阴阳思想,比如,把坤卦视为空集并成为“六子”的子集。太极代数四元逻辑模型证明:《说卦》是一篇逻辑论文,而且是一篇具有丰富的数理逻辑内涵的论文。具体而言,八卦是八个逻辑范式(公式),八卦是一套相对完备的逻辑系统;《说卦》中八卦与人体形态的对应其实是用人体形态表示逻辑图;《说卦》中蕴含的新的逻辑结构是建构广义太极代数的数理基础。
“Gua Gua” is a classic text that discusses the hexagrams of gossip and its nature. Modern Yi - ology tends to analyze the nature of gossip from its contradictory relations. There are two main opinions in the academic circles: one is the contradictory relationship between the gossip in terms of the relationship between the wrong yin and the wrong (treatment), and the one that is based on the relationship between “non-change” Determine the contradictions between gossip. It is generally believed that the problems reflected in the contradictory relations in gossip are philosophical issues, but in fact they are also mathematical problems. To deal with the relationship between the wrong yin and yang (relational) Analysis of the contradiction between the hexagrams Mathematical model is a binary Boolean algebra to “non-cover change ” analysis of the contradiction between the hexagrams mathematical model is the Taiji algebra four-element logical model . However, binary-type Boolean algebras violate Taiji yin-yang ideology. For example, they treat the kun-ya as an empty set and become a subset of the “six-sons.” The Taiji algebraic quaternary logic model proves that “Shuagua” is a logical essay, and it is an essay rich in mathematical connotations. Specifically, gossip is the eight logical paradigm (formula), gossip is a relatively complete set of logic system; “gossip” in the correspondence between gossip and human form is actually the human form that logical diagram; The new logical structure is the mathematical basis for constructing generalized Tai Chi algebra.