Starting from the mathematical structure of Taiji, the Two Modes, Four Images, and Eight Trigrams in the Book of Changes, this article systematically explores the information-carrying capacity of Bazi and Qimen Dunjia as divinatory systems. Through analysis of Yin-Yang, the Five Phases, the Hetu and Luoshu, and other classical mathematical foundations, it seeks to provide a unified perspective for measuring and comparing the information volume of these two arts.

'An in-depth analysis of the core differences between the "Life Chart" (Mingpan / Zhongshen Pan) and the "Hourly Chart" (Shi Pan / Shijia Qimen) in Qimen Dunjia. Exploring from the dimensions of temporal scope, analytical logic, application range, and philosophical essence, this article reveals the dialectical relationship between fate and contingency in Yixue divination.'

A thorough exploration of the principles behind Qimen Dunjia's capacity for 'multiple judgments from a single chart.' Through holographic cosmology, multidimensional coordinate systems, the symbolic system of universal correspondences, and the shifting of Taiji focal points, this article dissects the core mechanisms of what is regarded as the highest art of divination in ancient China.

This article systematically investigates the fourteenth hexagram of the Yijing, 'Fire over Heaven — Great Possession' (Huo Tian Da You), analyzing its trigram structure of Li above Qian below, elucidating the rich connotations of 'Great Possession,' and drawing upon pre-Qin literature to expound the principle of 'one yielding line in the place of honor, five firm lines responding to it' — the way of grand virtue and great enterprise — revealing its profound significance in ancient political philosophy.

This article offers a deeply layered reading of Cold Dew (Hanlu) from the perspectives of pre-Qin Confucian and Daoist philosophy, the original meanings of Chinese characters, astronomy and phenology, and the Double Ninth chrysanthemum festival. It examines the gradual shift of dew from 'white' to 'cold,' the principle of reversal at the extremity of decline embodied in the Bo hexagram's five yin lines stripping away yang yet preserving the 'great fruit uneaten,' the gentleman's integrity symbolized by chrysanthemums defying autumn frost, and the ritual propriety of wild geese arriving as guests — revealing the hidden seed of renewal concealed within the stripping away of yang.

A complete study of the *Zhengming* (Rectification of Names) chapter of the *Xunzi*. It takes up the Master's chain—"if names are not rectified, speech does not flow"—and opens onto the distinction between names having no fixed appropriateness and names having a fixed goodness; it traces in detail the boundary of convention-becoming-custom, the Heavenly Faculties' sorting of categories and the mind's verifying cognition, the three delusions and the inevitability of disputation, the three grades of speech, how order and disorder lie in what the mind approves, the Way as the true balance across past and present, and ends with "the self enslaved to things" and "valuing the self and putting things to service." It takes Confucian and Daoist principle as its foundation, drawing on the *Analects*, *Mencius*, *Doctrine of the Mean*, *Laozi*, *Zhuangzi*, *Zuo Tradition*, and the *Book of Songs*.