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 an in-depth analysis of the core proposition of 'yao effecting and xiang imaging' in the Xici zhuan (Great Commentary) of the Zhouyi, examining the dynamic and static distinction between 'effecting' and 'imaging,' tracing the referent of 'this,' and elucidating how yao and xiang constitute the epistemological framework through which the Way of the Yi reveals the subtle and the manifest.

This article offers an in-depth examination of the "Dali" chapter of the *Xunzi*, focusing on the dialectic between penal law and moral virtue (*xingde*) alongside the discourse of the "heaven-ordained people" (*tianmin*). By analyzing the historical evolution of penal practices, it elucidates the core tenets of pre-Qin Confucian populism and governance philosophy, underscoring the critical role of ritual and music in moral transformation while uncovering the metaphysical foundations of social order embedded in pre-Qin political thought.

This article offers an in-depth interpretation of the opening discourse on the Dao in the Guanzi 'Neiye' (Inner Cultivation), analyzing the threefold nature of 'thorough and dense, broad and expansive, firm and steadfast,' its dialectical unity, and its significance for self-cultivation within the intellectual context of pre-Qin and high antiquity.