This paper researches the origins of mathematical astronomy and Chinese aesthetics.In the initial phase of Chinese civilization,writing,calligraphy,science and aesthetics were interrelated,in that Chinese mythology,history,calligraphy,mathematics and astronomy were all expressed through characters.Mozi(ca.470-ca.391 BCE)called these character forms,"patterns of denomination"(ming wen).The focus of the present paper is to explore Mozi's theories of the golden ratio and Pythagoras's theorem,Confucius'explanation of the character shi 士(knight,scholar)and Xu Shen's(ca.55-ca.149)discussion of calculation,as well as Zhao Shuang's(fl.250)notes on Pythagoras's theorem in the Zhou Gnomon and the Classic of Computation.The paper traces these theories back to the mathematical astronomy and Chinese aesthetics of the Zigui Neolithic site(ca.5000 BCE),with a particular focus on the origins of the golden ratio and Pythagoras's theorem,as well as on the natural and cultural background to their discovery.The paper adopts the triple-evidence method,comparing archaeological data,philological documentation and research on mathematical astronomy from China and abroad.
关键词
命文/墨子數理邏輯/黄金分割率與勾股定理/數學天文學/中華美學/真書結字黄金律
Key words
patterns of denomination/Mozi's mathematical logic/the golden ratio and Pythagoras's theorem/mathematical astronomy/Chinese aesthetics/the golden ratio of the character structure in the regular script
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