Avicenna against Mathematical Platonism

IF 0.5 3区社会学 0 HUMANITIES, MULTIDISCIPLINARY

Oriens Pub Date : 2019-11-01 DOI:10.1163/18778372-04700100

Mohammad Saleh Zarepour

引用次数: 2

Abstract

In this paper I investigate Avicenna’s criticisms of the separateness of mathematical objects and of the view that they are principles for natural things. These two theses form the core of Plato’s view of mathematics; i.e., mathematical Platonism. Surprisingly, Avicenna does not consider his arguments against these theses as attacks on Plato. This is because his understanding of Plato’s philosophy of mathematics differs from both Plato’s original view and what Aristotle attributes to Plato.

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阿维森纳反对数学柏拉图主义

在这篇文章中，我调查了阿维森纳对数学对象的分离性的批评，以及他们是自然事物的原理的观点。这两篇论文构成了柏拉图数学观的核心；即数学柏拉图主义。令人惊讶的是，阿维森纳并不认为他反对这些论点是对柏拉图的攻击。这是因为他对柏拉图数学哲学的理解既不同于柏拉图最初的观点，也不同于亚里士多德对柏拉图的评价。

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

Oriens HUMANITIES, MULTIDISCIPLINARY-

CiteScore

1.10

自引率

33.30%

发文量

期刊介绍： Oriens is dedicated to extending our knowledge of intellectual history and developments in the rationalist disciplines in Islamic civilization, with a special emphasis on philosophy, theology, and science. These disciplines had a profoundly rich and lasting life in Islamic civilization and often interacted in complex ways--from the period of their introduction to Islamic civilization in the translation movement that began in the eighth century, through the early and classical periods of development, to the post-classical age, when they shaped even such disciplines as legal theory and poetics. The journal''s range extends from the early and classical to the early modern periods (ca. 700-1900 CE) and it engages all regions and languages of Islamic civilization. In the tradition of Hellmut Ritter, who founded Oriens in 1948, the central focus of interest of the journal is on the medieval and early modern periods of the Near and Middle East. Within this framework, the opening up of the sources and the pursuit of philological and historical research based on original source material is the main concern of its editors and contributors. In addition to individual articles, Oriens welcomes proposals for thematic volumes within the series.