DÉMONSTRATION PAR L'ABSURDE OU DÉMONSTRATION DIRECTE: AL-SIJZĪ, SUR L'INCOMMENSURABILITÉ DE LA DIAGONALE AVEC LE CÔTÉ

IF 0.3 2区哲学 Q3 HISTORY & PHILOSOPHY OF SCIENCE

Arabic Sciences and Philosophy Pub Date : 2019-03-01 DOI:10.1017/S0957423918000097

R. Rashed

引用次数: 0

Abstract

In this paper, I examine the opposition between direct proof and proof per impossibile, introduced by al-Sijzī (second half of the 10th century) in his treatise entitled The side is not commensurable with the diagonal. From this example he gives to illustrate this opposition, al-Sijzī argues the superiority of the direct proof. In this paper, I also give the editio princeps of his treatise, as well as its first translation.

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由荒诞或直接演示演示:AL-SIJZĪ同一侧的对角线上,为了

在本文中，我考察了al- sijzi(10世纪下半叶)在其题为《边与对角线不可通约》的论文中提出的直接证明和不可能证明之间的对立。从他给出的这个例子来说明这种反对，al- sijzi论证了直接证明的优越性。在本文中，我也给出了他的论文的版本原则，以及它的第一次翻译。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Arabic Sciences and Philosophy Multiple-

CiteScore

0.70

自引率

0.00%

发文量

期刊介绍： Arabic Sciences and Philosophy (ASP) is an international journal devoted to the Arabic sciences, mathematics and philosophy in the world of Islam between the eighth and eighteenth centuries, in a cross-cultural context. In 2009, the journal extended its scope to include important papers on scientific modernization from the nineteenth century in the Islamic world. Together with original studies on the history of all these fields, ASP also offers work on the inter-relations between Arabic and Greek, Indian, Chinese, Latin, Byzantine, Syriac and Hebrew sciences and philosophy. Casting new light on the growth of these disciplines, as well as on the social and ideological context in which this growth took place, ASP is essential reading for those interested in these areas.