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.

Approaching the subject from the standpoint of pre-Qin Confucianism, this article examines the origin, essence, and civilizational foundations of ritual propriety (li), seeking to understand the profound meaning it carries between human ethical order and the Way of Heaven.

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*.

Reading the tilting-vessel chapter of Xunzi's "Youzuo" word by word, purely through the lens of pre-Qin Confucian and Daoist classics. From the threefold meaning of the character 宥 (you), the political allegory of Duke Huan of Lu's ancestral temple, the two kinds of emptiness in "empty and it tilts," and the four layers of meaning behind Zilu's question about holding fullness rather than guarding the mean, to the relation between the four "guardings" — meeting cleverness with foolishness, meeting merit with yielding — and virtue, and the cosmological argument and social extension of "dipping out and diminishing." Drawing together the *Analects*, *Mencius*, *Laozi*, *Zhuangzi*, the *Great Treatise*, the *Zuo Tradition*, and the *Discourses of the States*, this essay reveals how a wordless inscription came to carry the whole pre-Qin wisdom of fullness, emptiness, loss, and gain.