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.

'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.'

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.

This essay offers an in-depth exploration of the Bailu (White Dew) solar term from the perspectives of pre-Qin Confucian and Daoist philosophy, etymological analysis, astronomy and phenology, and the Classic of Poetry's 'Reeds and Rushes' (Jianjia). It examines how dew forms through the interplay of yin and yang qi, the philosophy of concealment and manifestation, the metaphor of morning dew, the celestial shift as yin grows heavy and dew turns white, the eternal longing of 'reeds so grey, white dew turns to frost' — the unattainable figure beyond the autumn waters — and the wisdom of contemplation found in the Guan hexagram's 'great observation above' and 'teaching through the numinous way.'

This article deeply analyzes the semantic fission of the character "ming" (命) in pre-Qin thought, tracing its evolution from divine mandate and innate nature to an active mission, demonstrating that it was not passive fatalism but rather proactive assumption of responsibility beyond cognitive horizons. By re-examining core propositions like Confucius's "knowing the mandate of Heaven," the study reveals the dynamic relationship of Heaven-human interaction in pre-Qin philosophy, showcasing the robust subjectivity and sense of mission within traditional Chinese culture.

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.