Eight Trigrams In Ancient China

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Generally speaking, in I Ching, numbers aren’t just numbers. They are also elements of a language, which can bring out abstract ideas that connected with numbers themselves. Same fractal mathematics was also used in I Ching to encode information into Bagua [eight trigrams], which the binary numbers were used for interpreting its quaternary divination technique. Eight trigrams are eight interrelated concepts. Daoism uses eight trigrams to represent the fundamental principles of reality. Moreover, hexagram is like advanced eight grams, which composed of 6 yao (stacked horizontal lines). By performing the eight trigrams in different combinations, one can obtain the hexagram finally. The lines stand for yin (broken lines with gap in the middle) …show more content…

According to Zhuang Zhou, life is limited but knowledge to be gained has no limits. And it is foolish to use limited to pursue unlimited. In his writing Zhuangzi, he mentioned “If from a stick a foot long you every day take the half of it, in a myriad ages it will not be exhausted.” (Zhuangzi, Chapter. Tianxia). This is a representative of ancient Chinese dialectical thought of the limit. Moreover, the most famous sentence from Daoism also has deep connection with mystification of number “Dao begets One (nothingness; or reason of being), One begets Two (yin and yang), Two begets Three (Heaven, Earth and Man; or yin, yang and breath qi), Three begets all things. All things carry the femals and embrace the male. And by breathing together, they live in harmony...” This is a quote from Tao Te Ching [The Classic of the Way and the Natural Virtue by the Old …show more content…

A partial reason is that the ancient Chinese mathematics values pragmatism but the society doesn’t value math. Although China does not lack mathematical writings and mathematicians at ancient times, the educational organizations at that time didn’t teach mathematics at all. They were basically private schools, which rephrase intellectuals to teach literature. For years and years, they mainly focus on the “Four Books and Five Classics” (Four Books are Great Learning, Doctrine of the mean, Analects, and Mencius. Five Classics are Classic of Poetry, Book of Documents, Book of Rites, I Ching, and Spring and Autumn Annals).
Chinese mathematics actually has declined after 14th century. The mathematical works after 14th century basically had no innovation. Most of them are annotations of former works or put lots of efforts on the abacus like creating songs for remember the performance of abacus easier. In my opinion the essence of the decline of Chinese mathematics is lack of theoretical support. Pragmatism is the strength but also the weakness of it. So is mysticism: it inspires people with its mathematical approach to solve unknowns but also restricts their

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