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.

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.

'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.'

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 provides a rigorous philological and historical analysis of the Analects passage, "Alas! I have never seen anyone who loves virtue as much as they love physical beauty." By examining the inherent tension between natural human desire and moral cultivation, the study reconstructs Confucius’ profound disillusionment with the human condition while elucidating the Confucian imperative of prioritizing moral integrity in governance.

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.