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 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.

This article offers a deep investigation of the Hexagram Tong Ren (Fellowship with Others) from the Yijing (Book of Changes), grounded in pre-Qin Confucian and Daoist thought and archaic culture, tracing layer by layer the meanings of the hexagram image, judgment, and line statements. Through a careful analysis of the distinction between 'sameness' (tong) and 'harmony' (he), and drawing on the structural logic of the Xu Gua Zhuan (Sequence of Hexagrams), the article illuminates Tong Ren's pivotal role in the transition from obstruction to openness, revealing its primordial wisdom of seeking Great Unity within difference.

This article offers a deep exploration of the philosophical significance of Hexagram 37 'Jiaren' (Family) in the Zhouyi (Book of Changes), analyzing the relationship between the Wind-over-Fire trigram image and the Way of the family, and elucidating the foundational status of 'family' in ancient social structures through pre-Qin Confucian thought on 'roots' (ben) as found in Confucius, Mencius, and the Great Learning.