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 provides an in-depth analysis of Lixia (the Beginning of Summer) through the lenses of pre-Qin Confucian and Daoist philosophy, etymological roots, and astronomical observation, elucidating its significance as the critical juncture where the cosmic momentum shifts from "birth" to "growth." By examining the evolution of the character "xia" (夏) and the movement of the star Antares, the study reveals the profound wisdom behind the ancient mandate of "respectfully bestowing the seasons" and the harmonious worldview of unity between humanity and the cosmos.

This article offers a thorough analysis of the core proposition in Xunzi's 'Jiebi' (Dispelling Obscurations) chapter concerning the nature of cognition: 'How does a person know$33 Through the mind. How does the mind know$34 Through xu (openness), yi (unity), and jing (stillness).' It systematically elucidates the dialectical relationship among these three concepts, their epistemological significance, and their roots in high antiquity, revealing the systematic rigor and precision of pre-Qin cognitive theory.

This article offers an in-depth interpretation of Xiaoman (Grain Full), one of the twenty-four solar terms, drawing on pre-Qin Confucian and Daoist philosophy, philology, astronomy, and phenology. Through the etymology of "full yet not overflowing," and the phenological signs of bitter herbs flourishing and wheat's autumn arriving, it reveals the deep meaning behind why the twenty-four solar terms include a "small fullness" (Xiaoman) but no "great fullness"—illuminating the ancient Chinese wisdom of guarding against excess, prizing humility, of loss following fullness and gain following modesty, of completeness found even in imperfection, and the venerable cosmology of the unity of Heaven and humanity.