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.

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 an in-depth philological investigation of the passage from the Xici Shangzhuan (Great Commentary on the Yijing): 'The junzi, when at rest, contemplates the images and savors the texts; when about to act, observes the transformations and savors the divination.' It restores how the pre-Qin junzi attained existential security through apprehending the 'order' (xu) of the Yi, and internalized cosmic order into personal cultivation through an attitude of aesthetic 'savoring' (wan).