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2020 | 9(1) | 5--11
Tytuł artykułu

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

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EN
Abstrakty
EN
Most historians and philosophers of philosophy and history of mathematicshold 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(original abstract)
Czasopismo
Rocznik
Tom
Strony
5--11
Opis fizyczny
Twórcy
  • Ain Shams University
Bibliografia
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  • Berggren, J. L. & G. Van Brummelen. The Role and Development of Geometric Analysis and Synthesis in Ancient Greecce and Medieval Islam, In P. Suppes, J. M. Moravcik & H. Mendell (eds.), Ancient & Medieval Traditions in the Exact Sciences, California: CSLI Publications, 2000.
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  • Diogenes Laeritius. Lives of Eminent philosophers, V.I, R. D. Hicks trans., London: Willian Heinmann, 1925.
  • Gulley, N. Greek Geometrical Analysis, In Phronesis 3, 1958, pp. 1-14.
  • Heath, T. L. A History of Greek Mathematics, 2 vols., New York: Dover, 1981; orig. publ. Oxford: Oxford University Press, 1921.
  • Heath, T. L. The Thirteen Books of The Elements, 3 vols., 2nd ed., tr. T. H. Heath, New York: Dover, 1956; orig. publ. Cambridge: Cambridge University Press, 1925.
  • Hintikka, J. & U. Remes. The Method of Analysis, Dordrecht: D. Reidel, 1974.
  • Ibn Sīnā. al-Shifāʾ, al-Manṭiq, al-Madkhāl, edited by M. El-Khodeiri, G. Anawati, F. El- Ahwani, Maṭ-baʿa al-amīrīya, 1952.
  • Ibn Sīnā. al-Shifāʾ, al-Manṭiq, al-Burhān, edited by A. ʿAfīfī, Cairo: al-Maṭ-baʿa al-amīrīya, 1956.
  • Kahn, C. H. Plato and the Socratic Dialogue, Cambridge: Cambridge University Press, 1996.
  • Knorr, W. R. The Ancient Tradition of Geometrical Problems, New York: Dover, 1993.
  • Lakatos, I. Mathematics, Science and Epistemology, Cambridge: Cambridge University Press, 1978.
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  • Makin, S. (trans.). Aristotle Metaphysics: Book Θ, Oxford: Clarendon Press, 2006.
  • Menn, S. Plato and the method of Analysis, Phronesis 47 (3), 2002, pp. 193-223.
  • Mueller, I. Mathematical method and Philosophical Truth, In Richard Kraut (ed.), The Cambridge Companion to Plato, Cambridge: Cambridge University Press, 1980.
  • Pappus. Book 7 of the Collection, Part I, edited and translated by A. Jones, New York: Springer Science + Business Media, 1986.
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Bibliografia
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