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The Influence of Qing Dynasty Editorial Work on the ModernInterpretation of Mathematical Sources: The Case of Li Rui's Editionof Li Ye's Mathematical Treatises

Published online by Cambridge University Press:  28 July 2014

Charlotte-V. Pollet
Charlotte-V. Pollet*
Affiliation:
National Chiao Tung University (Taiwan) E-mail: cpollet@nctu.edu.tw
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Argument

Recent studies in Sinology have shown that Qing dynasty editors acted asphilologists. This paper argues that the identification of their philologicalmethods and editorial choices suggests that their choices were not totallyneutral and may have significantly shaped the way modern historians interpretedspecific works edited by mathematicians of that dynasty. A case study of there-edition in 1798 of a Song dynasty treatise, the Yigu yanduan(1259), by a Qing dynasty mathematician will illustrate this point. At the endof the eighteenth century, Li Rui (1773–1817) was asked to prepare anedition of the mathematical works written by Li Ye (1192–1279) for aprivate collection. Li Rui was a talented mathematician, but he was also ameticulous editor and trained philologist. He adopted his editorial model fromthe preparation of the imperial encyclopaedia, the Sikuquanshu, but Li Rui also made some corrections to the text in an effortto restore an older version of Li Ye's treatises that had been lost.Convinced of the Chinese origin of algebra, Li Rui used philological techniquesto recover the lost materials and to restore the roots of “Chinesemathematics.” The Yigu yanduan contains twoalgebraic procedures to set up quadratic equations, one from the procedure ofCelestial Source (tian yuan shu) and theother from the Section of Pieces [of Areas] (tiaoduan). Curiously, the second procedure has not yet attracted theattention of scholars so far, although Li Rui's edition is the onetypically used by twentieth-century historians of mathematics. Today, theCelestial Source characterizes “Chinesealgebra.” However, the specific concerns of Li Rui about theprocedure of Celestial Source, combined with his editorialmethods, contributed to this perspective.

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Type
Research Article
Information
Science in Context , Volume 27 , Issue 3 , September 2014 , pp. 385 - 422
Copyright
Copyright © Cambridge University Press 2014 

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References

References

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