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.

This article provides an in-depth analysis of Lixia (the Beginning of Summer) through the lenses of pre-Qin Confucian and Daoist philosophy, etymological roots, and astronomical observation, elucidating its significance as the critical juncture where the cosmic momentum shifts from "birth" to "growth." By examining the evolution of the character "xia" (夏) and the movement of the star Antares, the study reveals the profound wisdom behind the ancient mandate of "respectfully bestowing the seasons" and the harmonious worldview of unity between humanity and the cosmos.

Reading the tilting-vessel chapter of Xunzi's "Youzuo" word by word, purely through the lens of pre-Qin Confucian and Daoist classics. From the threefold meaning of the character 宥 (you), the political allegory of Duke Huan of Lu's ancestral temple, the two kinds of emptiness in "empty and it tilts," and the four layers of meaning behind Zilu's question about holding fullness rather than guarding the mean, to the relation between the four "guardings" — meeting cleverness with foolishness, meeting merit with yielding — and virtue, and the cosmological argument and social extension of "dipping out and diminishing." Drawing together the *Analects*, *Mencius*, *Laozi*, *Zhuangzi*, the *Great Treatise*, the *Zuo Tradition*, and the *Discourses of the States*, this essay reveals how a wordless inscription came to carry the whole pre-Qin wisdom of fullness, emptiness, loss, and gain.

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 explores Chushu (End of Heat) from the perspectives of pre-Qin Confucian and Daoist philosophy, etymological origins, and astronomical phenology, revealing the wisdom shared between 'heat ceases at this point' and 'knowing where to stop, one finds stability.' Through analysis of the character chu (to stop), the hawk's ritual offering of birds, the onset of heaven and earth's solemnity, and the grain's ascent as a return to origins, the article illuminates the ancient way of measured restraint and reverent remembrance.

An introduction to the Xici Zhuan (Appended Statements) of the Zhouyi, written for a faraway reader. Beginning with the fundamental concepts of hexagrams, lines, yin-yang, and the high and the low, it clarifies the composition and reading of the Xici, dispels the most common misunderstandings of beginners and overseas readers, and paves the way for a close study of the twelve chapters of the Upper Xici.