Three Notes on the Method of Analysis and Synthesis in its Ancient and (Arabic) Medieval Contexts

Author:

Moubarez Hany1

Affiliation:

1. Ain Shams University , Abbasia sq., Al-Khalifah Al-Maamoun Street, 11566 Cairo , Egypt

Abstract

Abstract Most historians and philosophers of philosophy and history of mathematics hold one interpretation or the other of the nature of method of analysis and synthesis in itself and in its historical development. In this paper, I am trying to prove – through three points – that, in fact, there were two understandings of that method in Greek mathematics and philosophy, and which were reflected in Arabic mathematical science and philosophy; this reflection is considered as proof also of this double nature of that method. Thus, we have to rethink the nature of Arabic philosophy systems.

Publisher

Walter de Gruyter GmbH

Reference34 articles.

1. 1. Acerbi, F. The language of “Given” its forms and its use as a deductive tool in Greek mathematics, Arch. Hist. Exact Sci. 65, 2011, pp. 119-153.

2. 2. Acerbi, F. Pappus, Aristote et le TOΠOΞ ANAΛΥOMENOΞ, REG 124, 2011, pp. 93-113.

3. 3. al-Fārābī. Iḥṣāa al-clūm, edited with Spanish trans. by A. G. Palencia, Madrid: Maestre, second edition, 1953.

4. 4. al-Fārābī. Philosophy of Plato and Aristotle, edited and transleted by M. Mahdi, New York: The Free Press of Glencoe.

5. 5. al-Fārābī. Kitāb al-lfāẓ Al-Musṭacmalah fī al-Manṭiq, edited by M. Mahdi, Beirut: Dār al- Mashriq, second edition, 1968.

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