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 a deep reading of Great Cold (Dahan), the final of the Twenty-Four Solar Terms, drawing on pre-Qin Confucian and Daoist philosophy, etymological analysis, and astronomical and phenological traditions. It reveals the dialectic of extreme cold and returning spring, the cyclic principle that every ending harbors a new beginning, and illuminates the late-winter rites of the Grand Nuo exorcism and the clay ox ceremony—inviting the reader into the ancients' cosmic wisdom of 'tracing origins by returning to endings' and the eternal circle of ceaseless renewal.

This article offers an in-depth reading of the chapters on 'the virtue of ghosts and spirits' and 'sincerity is self-completing' in the Zhongyong, exploring their significance as the core of Confucian metaphysics. Through an analysis of pre-Qin conceptions of ghosts and spirits, it demonstrates that the chapter on spirits serves to prove that 'sincerity cannot be concealed,' and further elucidates how the substance of cheng (sincerity) matches Heaven and supports all things, revealing the ontological foundation of the Doctrine of the Mean.