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《幾何原本》在不同文明之翻譯及命運初探

A Study of the Translation and Fate of the Elements in Different Civilizations

摘要


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並列摘要


The Elements compiled by Euclid and transmitted to Alexandria in 300 B.C.E. was the fruit of the Greek mathematical revolution of 430-370 B.C.E., and as such became the core and foundation of Hellenistic science as well as Western scientific tradition up to the seventeenth century. This study made a brief survey of its encounters with the following five civilizations: the Greco-Roman, the Chinese, the Islamic, Medieval Europe and early modern Europe, particularly its reception by these civilizations and the history of its translation into Latin, Arabic, modern European languages and Chinese, respectively. The Romans never attempted to translate the Elements into Latin until Boethius, who made a major effort but did not seem to have completed the task, and in any case made no impact whatever. The Chinese translation by Xu Guangqi and Matteo Ricci in 1607 did gain considerable attention and indeed started an initial wave of interest in Western studies. Yet, contrary to Needham's assertion, in the end this encounter only led to a revival of traditional mathematics while modern developments entirely passed China by until the early twentieth century. On the other hand, Arabs and Medieval Europeans did make serious and repeated translations of the Elements into Arabic and Latin respectively. These efforts then blossomed into massive translation movements which in turn triggered important scientific movements. Although medieval science was stultified by Aristotelianism and then cut short by the Hundred Years’ War and the Black Death, a second revival in Greek (especially Platonic) studies and in mathematics during the fifteenth and sixteenth centuries eventually brought about the seventeenth-century scientific revolution. The translation of the Elements again figured prominently throughout this revival, and was important even for Newton and his Principia. It is conjectured that the radically different fate of the Elements in different civilizations resulted from cultural attitudes arising from self-perception, that is, the Arabs and medieval Europeans were conscious of their relative inferiority vis-à-vis the Greek and the Islamic civilization, respectively, while the Romans and Chinese were self-assured and supremely confident of their own culture.

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