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.

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*.

From historical origins, theoretical foundations, and the compass as core instrument, to the doctrines of Eight Mansions, Sanhe, Xuankong Flying Star, and other major schools—along with comparative case studies and inter-school debates—a panoramic survey of the principle-and-qi (liqi) tradition for advanced readers.

This article offers a deep reading of the core proposition in the Xici Shangzhuan — 'What the junzi dwells in and finds peace in is the order of the Yi' — integrating the pre-Qin context, the Confucian scholarly lineage, and the structure of the Zhouyi to elucidate how the junzi, by embodying the Way of Heaven and Earth, takes the Yi as the foundation of settled existence, contemplates the images and savors the statements, and ultimately attains the state of 'auspiciousness with nothing unfavorable.'