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.'

Starting from a brief episode in the Analects, in which the noble Wenzi of Wei promotes his own household steward, Zhuan, to stand alongside him among the lords, this essay reads that small event against the great declarations of freedom and equality since the Renaissance: the West places its ideal at the starting line, while the pre-Qin thinkers built the ideal into lived reality.

An in-depth analysis of the philosophical core, the detailed procedure of the Four Operations and Eighteen Transformations, and the mathematical mysteries of non-uniform probability in the Yijing's Great Expansion milfoil divination method, combined with the classic case of Duke Mu of Qin's campaign against Jin from the Zuo Zhuan (Duke Xi, Year 15) to reconstruct the hexagram-interpretation logic of the pre-Qin perspective.

This article undertakes an in-depth exploration of the proposition 'nourishing the will by emulating the numinous turtle' (yang zhi fa ling gui) in the Guiguzi, examining the symbolic significance of the turtle in high antiquity, the wu-xi shamanic tradition, turtle-shell divination culture, ritual status, and longevity philosophy from multiple dimensions, revealing the profound philosophical thought and methodology of spiritual cultivation it embodies, and striving to restore its original meaning within the pre-Qin intellectual context.