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

   | 11 may 2020

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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. 119-153.10.1007/s00407-010-0072-zSearch in Google Scholar

2. Acerbi, F. Pappus, Aristote et le TOΠOΞ ANAΛΥOMENOΞ, REG 124, 2011, pp. 93-113.10.3406/reg.2011.8043Search in Google Scholar

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

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

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

6. al-Nayrīzī. The Commentary of Al-Nayrīzī. on Books II-IV of Euclid‘s Elements of Geometry, transleted by A. Lo Bello, Leiden: Brill, 2009.Search in Google Scholar

7. al-Sijzī. Al-Sijizī‘s Treatise on Geometric Problem-Solving, transleted by J. Hogendijik and M. Bagheri, Tehran: Fatemi, 1996.Search in Google Scholar

8. Aristotle. Complete Works, Jonathan Barnes (ed.), Princeton: Princeton University Press, 1991.Search in Google Scholar

9. Aristotle. Nicomachean Ethics, ed. & trans. By Roger Crisp, Cambridge: Cambridge University Presss, 2004.Search in Google Scholar

10. Bellosta, H. ‘Ibrāhīm Ibn Sinān: on Analysis and Synthesis‘, In Arabic Sciences and Philosophy, vol. 1, 1991, pp. 211-232.10.1017/S0957423900001491Search in Google Scholar

11. Benson, H. H. ‘Plato‘s Method of Dialectic‘ In Hugh H. Benson (ed.), A Companion to Plato, Oxford: Blackwell Publishing Ltd., 2006.10.1111/b.9781405115216.2006.00018.xSearch in Google Scholar

12. 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.Search in Google Scholar

13. Cornford, F. M. Mathematics and Dialectic in the Republic of Plato VI-VII, Mind 41 (161), 1932, pp. 37-52.10.1093/mind/XLI.161.37Search in Google Scholar

14. Diogenes Laeritius. Lives of Eminent philosophers, V.I, R. D. Hicks trans., London: Willian Heinmann, 1925.10.4159/DLCL.diogenes_laertius-lives_eminent_philosophers_book_x_epicurus.1925Search in Google Scholar

15. Gulley, N. Greek Geometrical Analysis, In Phronesis 3, 1958, pp. 1-14.10.1163/156852858X00011Search in Google Scholar

16. Heath, T. L. A History of Greek Mathematics, 2 vols., New York: Dover, 1981; orig. publ. Oxford: Oxford University Press, 1921.Search in Google Scholar

17. 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.Search in Google Scholar

18. Hintikka, J. & U. Remes. The Method of Analysis, Dordrecht: D. Reidel, 1974.Search in Google Scholar

19. Ibn Sīnā. al-Shifāʾ, al-Manṭiq, al-Madkhāl, edited by M. El-Khodeiri, G. Anawati, F. El- Ahwani, Maṭ-baʿa al-amīrīya, 1952.Search in Google Scholar

20. Ibn Sīnā. al-Shifāʾ, al-Manṭiq, al-Burhān, edited by A. ʿAfīfī, Cairo: al-Maṭ-baʿa al-amīrīya, 1956.Search in Google Scholar

21. Kahn, C. H. Plato and the Socratic Dialogue, Cambridge: Cambridge University Press, 1996.10.1017/CBO9780511585579Search in Google Scholar

22. Knorr, W. R. The Ancient Tradition of Geometrical Problems, New York: Dover, 1993.Search in Google Scholar

23. Lakatos, I. Mathematics, Science and Epistemology, Cambridge: Cambridge University Press, 1978.10.1017/CBO9780511624926Search in Google Scholar

24. Lakatos, I. The Method of Analysis-Synthesis, In I. Lakatos, Mathematics, Science and Epistemology, Cambridge: Cambridge University Press, 1978, pp. 70-103.Search in Google Scholar

25. Mahoney, M. S. Another Look at Greek Geometrical Analysis, Archive for History of Exact Sciences 5, 1968-9, pp. 319-48.10.1007/BF00411631Search in Google Scholar

26. Makin, S. (trans.). Aristotle Metaphysics: Book Θ, Oxford: Clarendon Press, 2006.Search in Google Scholar

27. Menn, S. Plato and the method of Analysis, Phronesis 47 (3), 2002, pp. 193-223.10.1163/15685280260458127Search in Google Scholar

28. Mueller, I. Mathematical method and Philosophical Truth, In Richard Kraut (ed.), The Cambridge Companion to Plato, Cambridge: Cambridge University Press, 1980.Search in Google Scholar

29. Pappus. Book 7 of the Collection, Part I, edited and translated by A. Jones, New York: Springer Science + Business Media, 1986.Search in Google Scholar

30. Proclus. A Commentary on the First Book of Euclide‘s Elements, translated by G. R. Morrow, Princeton: Princeton University Press, 1992.Search in Google Scholar

31. Rashed, R. La philosophie des mathématiques d’Ibn al-Haytham-II: ‘Les Connus‘, Mélanges d‘Institut Dominicain d‘ Etudes Orientales du Caire 21, 1993, pp. 87-275.Search in Google Scholar

32. Robinson, R. Analysis in Greek Geometry, Mind 45 (180) 1936, pp.464-473.10.1093/mind/XLV.180.464Search in Google Scholar

33. Stenzel, J. Plato’s Method of Dialectic, translated by D. J. Allen, New York: Arno Press, 1973.Search in Google Scholar

34. Themistius. In Aristotelis Analyticorum Posteriorum Paraphrasis, ed. Wallies M. CAG V/1, Berlin: Reimer, 1900.Search in Google Scholar

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Business and Economics, Political Economics, other, Mathematics, Logic and Set Theory, Philosophy