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 provides an in-depth analysis of the "Zigong asks about achieving ren" passage from the *Analects' Gongye Chang* chapter. It critically examines the relationship between the aphorism "A craftsman wishing to do his work well must first sharpen his tools" and the socio-ethical environment, exploring Zigong's cultivation as a "tool" and revealing Confucian methodology for practicing *ren* within concrete socio-political relations, offering guidance for practical personalities.

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.

An in-depth analysis of the functional divisions and operational procedures for the Primary Hexagram, Transformed Hexagram, Mutual Hexagram, Reversed Hexagram, and Inverted Hexagram in the Yijing, mastering when to invoke auxiliary hexagrams, how to resolve conflicts between hexagram images, and a systematic approach to holographic divination.