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  1. Natural Geometry in Descartes and Kepler.Gary Hatfield - 2015 - Res Philosophica 92 (1):117-148.
    According to Kepler and Descartes, the geometry of the triangle formed by the two eyes when focused on a single point affords perception of the distance to that point. Kepler characterized the processes involved as associative learning. Descartes described the processes as a “ natural geometry.” Many interpreters have Descartes holding that perceivers calculate the distance to the focal point using angle-side-angle, calculations that are reduced to unnoticed mental habits in adult vision. This article offers a purely psychophysiological interpretation of (...)
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  • Descartes, Spacetime, and Relational Motion.Edward Slowik - 1999 - Philosophy of Science 66 (1):117-139.
    This paper examines Descartes' problematic relational theory of motion, especially when viewed within the context of his dynamics, the Cartesian natural laws. The work of various commentators on Cartesian motion is also surveyed, with particular emphasis placed upon the recent important texts of Garber and Des Chene. In contrast to the methodology of most previous interpretations, however, this essay employs a modern "spacetime" approach to the problem. By this means, the role of dynamics in Descartes' theory, which has often been (...)
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  • Descartes' Forgotten Hypotheses on Motion.Edward Slowik - 2002 - Journal of Philosophical Research 27:433-448.
    This essay explores two of the more neglected hypotheses that comprise, or supplement, Descartes’ relationalist doctrine of bodily motion. These criteria are of great importance, for they would appear to challenge Descartes’ principal judgment that motion is a purely reciprocal change of a body’s contiguous neighborhood. After critiquing the work of the few commentators who have previously examined these forgotten hypotheses, mainly, D. Garber and M. Gueroult, the overall strengths and weaknesses of Descartes’ supplementary criteria will be assessed. Overall, despite (...)
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  • Descartes: La imagen matemática del universo. Las ideas de proporción y de continuidad en la Geometría y su influencia sobre las ideas cosmológicas cartesianas.Mary Sol de Mora Charles - forthcoming - Enrahonar: Quaderns de Filosofía.
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  • How (Not) to Study Descartes' Regulae.Bret J. Lalumia Doyle - 2009 - British Journal for the History of Philosophy 17 (1):3 – 30.
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  • Two New Descartes.Roger Ariew - 1997 - British Journal for the History of Philosophy 5 (1):165 – 173.
    Descartes. An Intellectual Biography by Stephen Gaukroger, Clarendon Press, Oxford, 1995. xx + 499pp. 25.00 ISBN 0-19-823994-7 Descartes. Biographie by Gen vieve Rodis-Lewis, Calmann-L vy, Paris, 1995. 371pp.
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  • Descartes, Natural Philosopher.Margaret J. Osler - 1992 - Studies in History and Philosophy of Science Part A 23 (3):509-518.
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  • On Natural Geometry and Seeing Distance Directly in Descartes.Gary Hatfield - 2015 - In Vincenzo De Risi (ed.), Mathematizing Space: The Objects of Geometry from Antiquity to the Early Modern Age. Berlin: Birkhäuser. pp. 157-91.
    As the word “optics” was understood from antiquity into and beyond the early modern period, it did not mean simply the physics and geometry of light, but meant the “theory of vision” and included what we should now call physiological and psychological aspects. From antiquity, these aspects were subject to geometrical analysis. Accordingly, the geometry of visual experience has long been an object of investigation. This chapter examines accounts of size and distance perception in antiquity (Euclid and Ptolemy) and the (...)
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