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 offers a thorough analysis of the core proposition in Xunzi's 'Jiebi' (Dispelling Obscurations) chapter concerning the nature of cognition: 'How does a person know$33 Through the mind. How does the mind know$34 Through xu (openness), yi (unity), and jing (stillness).' It systematically elucidates the dialectical relationship among these three concepts, their epistemological significance, and their roots in high antiquity, revealing the systematic rigor and precision of pre-Qin cognitive theory.

This article offers an in-depth reading of the core proposition concerning the Xian (Influence/Resonance) hexagram of the Yijing: 'The Xian of the Yi reveals husband and wife. The way of husband and wife must not be left uncorrected, for it is the root of ruler-minister and father-son relations.' It systematically examines the hexagram's position in the structure of the Yi, the etymological relationship between xian and gan (resonance), and analyzes how 'the soft above and the firm below' embodies the principle of yin-yang sympathetic resonance and its foundational significance for pre-Qin ethical order.

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.