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.'

Drawing on pre-Qin Confucian and Daoist philosophy, etymology, astronomy, phenology, and the legend of Cangjie's invention of writing, this article offers an in-depth reading of the Guyu (Grain Rain) solar term. It examines the humane grace of Heaven and Earth embodied in "rain giving birth to the hundred grains," the firm-yet-yielding way of hexagram Guai's "resolving away the last remnant of yin," and the profound meaning behind "Heaven rained down millet, and ghosts wept in the night" at the origin of writing—returning readers to the ancient world of the unity of Heaven and humanity.

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 provides a rigorous exegesis of the *Analects* passage regarding Zang Wenzhong’s "usurpation of position," utilizing philological analysis and historical contextualization to examine the political ethics underlying his failure to promote the virtuous Liuxia Hui. By synthesizing evidence from the *Zuo Zhuan* and the *Records of the Grand Historian*, the study elucidates Confucius's profound discourse on the legitimacy of political authority and the moral imperatives of personnel selection.