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 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 offers an in-depth examination of the "Dali" chapter of the *Xunzi*, focusing on the dialectic between penal law and moral virtue (*xingde*) alongside the discourse of the "heaven-ordained people" (*tianmin*). By analyzing the historical evolution of penal practices, it elucidates the core tenets of pre-Qin Confucian populism and governance philosophy, underscoring the critical role of ritual and music in moral transformation while uncovering the metaphysical foundations of social order embedded in pre-Qin political thought.

This essay undertakes an in-depth study of the 'Yi' ode from the Greater Odes (Daya) section of the Classic of Poetry (Shijing) through the lens of pre-Qin thought. It examines the philological origins of the character 'yi' (restraint), confirms Duke Wu of Wei as its author with 'self-vigilance' as its guiding purpose, and elucidates the poem's emphasis on dignity, virtue, its critique of King Li's misgovernance, and its enduring political philosophy and moral cultivation significance.