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 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.

This article takes as its core text the 'Ox Mountain' chapter from the Gaozi section of the Mengzi, and draws upon a wide range of pre-Qin philosophical sources to analyze the argumentative structure for innate human goodness, the mechanisms by which external forces damage the heart-mind, and the philosophical foundations and cultivation methods of the theory of innate goodness.

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.'