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 multidimensional exploration of Lesser Cold (Xiaohan) from the perspectives of pre-Qin Confucian and Daoist philosophy, etymological origins, astronomical observation, and phenological reasoning. It reveals the 'firm force gradually ascending' imagery of the Lin (Approach) hexagram in the twelfth month, the wisdom of birds — wild geese turning north, magpies building nests, pheasants calling — as creatures that 'sense yang and move first.' It examines the paradox of why 'Lesser Cold is often colder than Greater Cold,' and elucidates the spirit of the La sacrifice — offering thanks to origins in the depth of winter — and the ancient cosmology of the unity of Heaven and humanity.

A line-by-line reading of the second chapter of the Upper Xici. The sage's four acts -- establishing the hexagrams, observing the images, appending the statements, clarifying fortune and misfortune -- run in exact reverse order to the noble person's four acts -- observing the images, savoring the statements, observing the changes, savoring the divination. The four clauses "is the image of..." form a chain tracing effect back to cause; "the repose in which he dwells" echoes the Doctrine of the Mean's "dwelling in ease, awaiting the Mandate"; and the chapter closes by quoting the top line of hexagram Da You, "From Heaven comes its aid," gathering the whole into the two words compliance and good faith. Grounded in Confucian and Daoist thought, and drawing on the Analects, Mencius, Laozi, Zhuangzi, Xunzi, and the Zuo Tradition, it explores how the noble person finds repose between Heaven and Earth and acts amid change.

This study offers a profound analysis of the *Zhengming* chapter in the *Xunzi*, specifically examining the philosophical implications of "the perfected names of the later kings" and "dispersed names." By situating Xunzi’s theory within the broader discourse of Pre-Qin thought, the article elucidates how the rectification of names functions as a critical nexus for political governance, social order, and epistemological framework.