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 deeply analyzes the semantic fission of the character "ming" (命) in pre-Qin thought, tracing its evolution from divine mandate and innate nature to an active mission, demonstrating that it was not passive fatalism but rather proactive assumption of responsibility beyond cognitive horizons. By re-examining core propositions like Confucius's "knowing the mandate of Heaven," the study reveals the dynamic relationship of Heaven-human interaction in pre-Qin philosophy, showcasing the robust subjectivity and sense of mission within traditional Chinese culture.

This article offers an in-depth reading of the chapters on 'the virtue of ghosts and spirits' and 'sincerity is self-completing' in the Zhongyong, exploring their significance as the core of Confucian metaphysics. Through an analysis of pre-Qin conceptions of ghosts and spirits, it demonstrates that the chapter on spirits serves to prove that 'sincerity cannot be concealed,' and further elucidates how the substance of cheng (sincerity) matches Heaven and supports all things, revealing the ontological foundation of the Doctrine of the Mean.

An introduction to the Xici Zhuan (Appended Statements) of the Zhouyi, written for a faraway reader. Beginning with the fundamental concepts of hexagrams, lines, yin-yang, and the high and the low, it clarifies the composition and reading of the Xici, dispels the most common misunderstandings of beginners and overseas readers, and paves the way for a close study of the twelve chapters of the Upper Xici.