The Geometry is the only mathematical book written by Descartes. One can find somemathematical studies from his youth—constructions of proportional means and solutions of equations of third and fourth degrees—in the Regulae, the Excerpta Mathematica, and above all in the letters, mainly those to Beeckman, Mersenne, and Golius (Serfati2002, 56–72 and 95–104). All these subjects are treated in th...

of the approaches used by complementary and alternative medicine (CAM), and indeed by all therapeutic models that offer a complex package of care – physical therapies, surgery, general practice and family medicine, psychotherapy, psychosomatic treatments, mind-body medicine – cannot be modeled along the lines laid out by the mechanistic paradigm. Not only cannot they be modeled along those line...

Priscilla Henno, Jean-François Boitiaux, Benoit Douvry, Aurélie Cazes, Marilyne Lévy, Philippe Devillier, Christophe Delclaux, and Dominique Israël-Biet Unité Propre de Recherche de l’Enseignement Supérieur EA 4068, UFR Biomédicale des Saints Pères, Paris; Université Pierre et Marie Curie, Faculté de Médecine, Assistance Publique-Hôpitaux de Paris, Service de Physiologie, Hôpital Saint Antoine,...

Jerry Fodor (2003) sees Hume’s Treatise as the foundational document of cognitive science, though he concedes that “Descartes got there first.” However, Hume’s “Cartesianism” is an ambiguous inheritance since Hume’s representational account (and Fodor’s) is closer to Malebranche’s version than Descartes’ own. Descartes shared the ‘pragmatism’ and ‘direct realism’ of Arnauld and later Reid – the...

A. Medina-Santiago Center for Research, Development and Technological Innovation, University of Science and Technology Descartes, Chiapas, México Email: [email protected] E. V. Toledo-Nuñez Master of Technology in Computer Science, University of Science and Technology Descartes, Chiapas, México Email: [email protected] R. Soto-Alvarez Master of Technology in Computer Science...

The Descartes circle theorem states that if four circles are mutually tangent in the plane, with disjoint interiors, then their curvatures (or “bends”) bi = 1 ri satisfy the relation (b1 + b2 + b3 + b4) 2 = 2(b1 + b 2 2 + b 2 3 + b 2 4). We show that similar relations hold involving the centers of the four circles in such a configuration, coordinatized as complex numbers, yielding a complex Des...