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A New Look at Galileo's Search for Mathematical Proofs

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References

  1. Archimedes 1543: Opera Archimedis Syracusani philosophi et mathematici ingeniosissimi. Venice: per Venturinum Ruffinellum.

  2. 1544: Archimedis Syracusani philosophi ac geometrae excellentissimi Opera. Basel: Hervagius.

  3. Armjio, Carmen 2001: ``Un nuevo rol para las definiciones''. In: Montesinos& Solís, pp. 85–99.

  4. Beaney, M. 2003: ``Analysis'', in: Stanford Encyclopedia of Philosophy, retrievable at: http://plato.stanford.edu/entries/analysis/

  5. Behboud, Ali 1994: ``Greek geometrical analysis'', Centaurus 36, pp. 52–86.

  6. Boyer, C. B. 1991: A history of mathematics. 2nd edition. New York: J. Wiley.

  7. Brown, James Robert 1999: Philosophy of mathematics. An introduction to the world of proofs and pictures. London and New York: Routledge.

  8. Damerow, P., Renn, J., and Rieger, S. 1996: Pilot study for the systematic PIXE analysis of the ink types in Galileo's MS. 72. Preprint 54. Berlin: Max-Planck-Institut für Wissenschaftsgeschichte.

  9. Damerow, P., Freudenthal, G., McLaughlin, P., and Renn, J. 1992: Exploring the limits of preclassical mechanics. New York and Berlin: Springer-Verlag.

  10. 2004: Exploring the limits of preclassical mechanics. 2nd ed. New York and Berlin: Springer-Verlag.

  11. Drake, Stillman 1970: Galileo studies: personality, tradition and revolution. Ann Arbor: The University of Michigan Press.

  12. 1973: ``Velocity and Eudoxan proportion theory'', Physis 15, pp. 49–64 (reprinted in Drake 1999, II, pp. 265–280).

  13. 1974: ``Mathematics and discovery in Galileo's physics'', Historia Mathematica 1, pp. 129–150 (reprinted in Drake 1999, II, pp. 292–306).

  14. 1979: Galileo's notes on motion arranged in probable order of composition and presented in reduced facsimile by Stillman Drake. Supplement to Annali dell Istituto e Museo di Storia della Scienza (1979). Florence: Giunti.

  15. 1987: ``Euclid Book V from Eudoxus to Dedekind'', Cahiers d' histoire et de philosophie des sciences, n.s. 21, pp. 52–64 (reprinted in Drake 1999, III, pp. 61–75).

  16. 1995: Galileo at work. His scientific biography. New York, (1st ed. Chicago: The University of Chicago Press, 1978).

  17. 1999: Essays on Galileo and the history and philosophy of science. 3 vols. Toronto: University of Toronto Press.

  18. Euclid 1956: The thirteen books of the Elements. Translated with introduction and commentary by Sir Thomas Heath. 2nd edition. 3 vols. New York: Dover Publications.

  19. Frajese, Attilio 1964: Galileo matematico. Rome: Editrice Studium.

  20. Galilei, Galileo 1890–1909: Le opere di Galileo Galilei. Edizione Nazionale. Ed. by Antonio Favaro. 20 vols. Florence: Barbèra.

  21. 1974: Two new sciences. Including centres of gravity and force of percussion [ed. by Stillman Drake]. Madison: The University of Wisconsin Press.

  22. 1990: Dicorsi e dimostrazioni matematiche intorno a due nuove scienze attinenti alla meccanica ed i movimenti locali [Ed. by Enrico Giusti]. Turin: Einaudi.

  23. 1999: Galileo Galilei's Notes on motion. Electronic facsimile of the Galileo Manuscript 72, preserved in the National Library in Florence. Retrievable online at: http://www.imss.fi.it/ms72/INDEX.HTM.

  24. Galluzzi, Paolo 1979: Momento. Studi Galileiani. Rome: Edizioni dell' Ateneo& Bizzarri.

  25. Giusti, Enrico 1981: ``Aspetti matematici della cinematica Galileiana'', Bollettino di Storia delle Scienze Matematiche 1, pp. 3–42.

  26. 1986: ``Ricerche Galileiane: il trattato `De motu equabili' come modello della teoria delle proporzioni'', Bollettino di Storia delle Scienze Matematiche 6, pp. 89–108.

  27. 1990: ``Galilei e le leggi del moto''. In: Galilei 1990, pp. ix-lx.

  28. 1992: ``La teoria galileiana delle proporzioni''. In: Conti, Lino, [ed.] La matematizzazione dell' universo. Momenti della cultura matematica tra '500 e '600. Perugia: Porziuncola, pp. 207–222.

  29. 1993: Euclides reformatus. La teoria delle proporzioni nella scuola Galileiana. Turin: Bollati-Boringhieri.

  30. 1994: ``Il filosofo geometra. Matematica e filosofia naturale in Galileo'', Nuncius 9, pp. 485–498.

  31. 1995: ``Il ruolo dela matematica nella meccanica di Galileo''. In: Tenenti et al., Galileo Galilei e la cultura veneziana. Venice: Istituto Veneto di Scienze, Lettere e Arti, pp. 321–338.

  32. 1998: ``Elements for the relative chronology of Galilei's De motu antiquiora'', Nuncius 13, pp. 427–460.

  33. Hart, W. D. 1997: [Ed.] The philosophy of mathematics. Oxford: Oxford University Press.

  34. Hintikka, Jaakko, and Remes, Unto 1974: The method of analysis. Dordrecht: D. Reidel.

  35. Jacquette, Dale 2002: [Ed.] Philosophy of mathematics: an anthology. Malden, MA., and Oxford: Blackwell.

  36. Knorr, Wilbur Richard 1993: The ancient tradition of geometrical problems. New York: Dover.

  37. Mahoney, M.S. 1968: ``Another look at Greek geometrical analysis'', Archive for History of Exact Sciences 5, pp. 319–348.

  38. Maracchia, Silvio 2001: ``Galileo e Archimede''. In: Montesinos& Solís, pp. 119–130.

  39. Montesinos, J., and Solís, C. 2001: [Eds.] Largo campo di filosofare. Eurosymposium Galileo 2001. La Orotava, Tenerife: Fundacin Canaria Orotava de Historia de la Ciencia.

  40. Netz, Reviel 2000: ``Why did Greek mathematicians publish their analyses?'', in: Suppes, P., Moravcsik, J., and Mendell, H., [eds.], Ancient and medieval traditions in the exact sciences: Essays in memory of Wilbur Knorr. Stanford, California: CSLI Publications, pp. 139–57.

  41. Palladino, Franco 1991: ``La teoria delle proporzioni nel Seicento'', Nuncius 6, pp. 33–81.

    Google Scholar 

  42. Palmieri, Paolo 2001: ``The obscurity of the equimultiples. Clavius' and Galileo's foundational studies of Euclid's theory of proportions'', Archive for History of Exact Sciences 55, 555–597.

  43. 2002: Galileo's mathematical natural philosophy. PhD Thesis. London: The University of London.

  44. 2003: ``Mental models in Galileo's early mathematization of nature'', Studies in History and Philosophy of Science 34, pp. 229–264.

  45. Pappus 1588: Federici Commandini mathematici celeberrimi exactissima commentaria in libros octo Mathematicarum Collectionum Pappi Alexandrini e graeco in latinum a se accuratissime conversos. Pesaro: apud Hieronimum Concordiam.

  46. 1660: Federici Commandini mathematici celeberrimi exactissima commentaria in libros octo Mathematicarum Collectionum Pappi Alexandrini e graeco in latinum a se accuratissime conversos. Bologna: ex Ducciis.

  47. Procissi, Angiolo 1985: La collezione Galileiana della Bilbioteca Nazionale di Firenze. Volume II. Rome: Istituto Poligrafico e Zecca dello Stato.

  48. Renn, Jürgen 1988: ``Galileo's manuscripts on mechanics. The project of an edition with full critical apparatus of MSS. GAL. Codex 72'', Nuncius 3, pp. 193–241.

  49. Renn, J., Damerow, P., Rieger, S. 2000: ``Hunting the white elephant: When and how did Galileo discover the law of fall?'', Science in Context 13, pp. 299–419.

    Google Scholar 

  50. Rose, Paul Lawrence 1975: The Italian renaissance of mathematics. Studies on humanists and mathematicians from Petrarch to Galileo. Genève: Librarie Droz.

  51. Saito, Ken 1986: ``Compounded ratio in Euclid and Apollonius'', Historia Scientiarum 31, pp. 25–59.

    Google Scholar 

  52. 1993: ``Duplicate ratio in Book VI of Euclid's Elements'', Historia Scientiarum 50, pp. 115–135.

  53. Sasaki, Chikara 1985: ``The acceptance of the theory of proportions in the sixteenth and seventeenth centuries'', Historia Scientarum 29, pp. 83–116.

    Google Scholar 

  54. Shapiro, Stewart 2000: Thinking about mathematics. Oxford University Press, Oxford.

  55. Sylla, E. D. 1984: ``Compounding ratios. Bradwardine, Oresme, and the first edition of Newton's Principia''. In: Mendelsohn [Ed.] Transformation and tradition in the sciences. Essays in honor of I. Bernard Cohen. Cambridge, New-York, Melbourne: Cambridge University Press, pp. 11–43.

  56. 1986: ``Galileo and the Oxford Calculatores: Analytical languages and the mean-speed theorem for accelerated motion''. In: Wallace, W. [Ed.] Reinterpreting Galileo. Washington, D.C.: The Catholic University of America Press, pp. 53–110.

  57. Wisan, L. Winifred 1974: ``A new science of motion: A study of Galileo's De Motu Locali'', Archive for History of Exact Sciences 13, 103–306.

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  1. Department of History and Philosophy of Science, University of Pittsburgh, Pittsburgh, PA, 15260, USA

    P. Palmieri

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Communicated by N. M. Swerdlow

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Palmieri, P. A New Look at Galileo's Search for Mathematical Proofs. Arch. Hist. Exact Sci. 60, 285–317 (2006). https://doi.org/10.1007/s00407-006-0109-5

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