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.'

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 interpretation of Xiaoman (Grain Full), one of the twenty-four solar terms, drawing on pre-Qin Confucian and Daoist philosophy, philology, astronomy, and phenology. Through the etymology of "full yet not overflowing," and the phenological signs of bitter herbs flourishing and wheat's autumn arriving, it reveals the deep meaning behind why the twenty-four solar terms include a "small fullness" (Xiaoman) but no "great fullness"—illuminating the ancient Chinese wisdom of guarding against excess, prizing humility, of loss following fullness and gain following modesty, of completeness found even in imperfection, and the venerable cosmology of the unity of Heaven and humanity.

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.