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 deeply layered reading of Cold Dew (Hanlu) from the perspectives of pre-Qin Confucian and Daoist philosophy, the original meanings of Chinese characters, astronomy and phenology, and the Double Ninth chrysanthemum festival. It examines the gradual shift of dew from 'white' to 'cold,' the principle of reversal at the extremity of decline embodied in the Bo hexagram's five yin lines stripping away yang yet preserving the 'great fruit uneaten,' the gentleman's integrity symbolized by chrysanthemums defying autumn frost, and the ritual propriety of wild geese arriving as guests — revealing the hidden seed of renewal concealed within the stripping away of yang.

This article offers an in-depth reading of the 'Jiebi' chapter of the Xunzi, exploring the cognitive roots of the 'calamity of obscuration' among the pre-Qin thinkers. Through an analysis of 'the Dao embodies constancy and encompasses all change,' it reveals the predicament of human cognition clinging to 'a single corner,' and elucidates the transcendent value of Confucius's 'benevolence and wisdom, unobscured,' with the aim of understanding how to overcome cognitive bias.

Reading the tilting-vessel chapter of Xunzi's "Youzuo" word by word, purely through the lens of pre-Qin Confucian and Daoist classics. From the threefold meaning of the character 宥 (you), the political allegory of Duke Huan of Lu's ancestral temple, the two kinds of emptiness in "empty and it tilts," and the four layers of meaning behind Zilu's question about holding fullness rather than guarding the mean, to the relation between the four "guardings" — meeting cleverness with foolishness, meeting merit with yielding — and virtue, and the cosmological argument and social extension of "dipping out and diminishing." Drawing together the *Analects*, *Mencius*, *Laozi*, *Zhuangzi*, the *Great Treatise*, the *Zuo Tradition*, and the *Discourses of the States*, this essay reveals how a wordless inscription came to carry the whole pre-Qin wisdom of fullness, emptiness, loss, and gain.