Taiji Algebra and the Logical Semantic Model of Zhouyi
This paper discusses the mathematical logic nature of Zhouyi, and suggests that it actually proposes a new logical algebra, Taiji algebra, in which the Eight Trigrams is a general logical semantic structure model. Specifically, Taiji algebra is a quaternary logical algebra consisting of physical pos...
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| Format: | Article |
| Language: | English |
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The Learned Press
2016-06-01
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| Series: | Macrolinguistics |
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| Online Access: | http://www.macrolinguistics.com/index.php?c=msg&id=678& |
| Summary: | This paper discusses the mathematical logic nature of Zhouyi, and suggests that it actually proposes a new logical algebra, Taiji algebra, in which the Eight Trigrams is a general logical semantic structure model. Specifically, Taiji algebra is a quaternary logical algebra consisting of physical positive (1) and negative (-1), metaphysical null (-0) and none (0). Its eight trigrams reflect the eight logical operation formulas: intersection, complement of intersection, union, complement of union, symmetrical difference, complement of difference, single set, and complement of single set. The sixty-four hexagrams are deductive logical systems that reflect the high-dimensional semantic structure, and constitute the sixty-four fold logical antisense structures. The conclusion of this paper can be applied to linguistic research, especially to the semantic research. |
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| ISSN: | 1934-5755 1934-5755 |