Let L be any number field or p-adic field and consider F := (f1, . . . , fk) where fi∈L[x ±1 1 , . . . , x ±1 n ]\{0} for all i and there are exactlym distinct exponent vectors appearing in f1, . . . , fk. We prove that F has no more than 1+ ( σm(m− 1)2n2 logm )n geometrically isolated roots in Ln, where σ is an explicit and effectively computable constant depending only on L. This gives a sign...

C. Rodriguez-Régent, S. Mouchet-Mages, S. Rodrigo, M-O. Krebs, C. Oppenheim, and J-F. Meder Department of Morphologic and Functional Imaging, University Paris Descartes, Sainte Anne Hospital, PARIS, France, Pathophysiology of Psychiatric Diseases, University Paris Descartes, Sainte Anne Hospital, PARIS, France, Department of Morphologic and Functional Imaging, University Paris Descartes, Sainte...

Phenomenology questions the basic foundations of Modernity. In particular, it challenges Descartes‘ attempt to found the scientific method with absolute certainty. Phenomenology is defined by the work of Husserl, Heidegger, and Merleau-Ponty. Even though each of them developed their own way within Phenomenology, their theories are determined by a critique of the Cartesian method. For them, Desc...

Cathay Ming Lih Liu: Descartes' Philosophical Grounds for Algebra and Geometry (Under the direction of Alan Nelson) Though neither Descartes nor Fermat developed analytic geometry as we understand the mathematical discipline today, they each developed a different central feature of it. But history of mathematics has not explained their differences in mathematical aims and practice in terms of p...

In an influential article, Anthony Kenny charged that (a) the view of freedom in Descartes’ “1645 letter to Mesland” is incoherent, and (b) that this incoherence was present in Descartes’ thought from the beginning. Against (b), I argue that such incoherence would rather support Gilson’s suspicions that the 1645 letter is dishonest. Against (a), I offer a close reading of the letter, showing th...

O artigo tem por objetivo examinar se haveria uma política na filosofia de Descartes. Partindo do fato que, aparentemente, nenhuma abriga nessa filosofia, são discutidas cada dessas três leituras: (1) o cartesianismo permaneceu à espera que lhe conviesse; (2) é incompatível com toda política; (3) política, mas ela menos visível os seus outros assuntos. autor argumenta em favor da leitura Descar...

richard mckay rorty (1932-2007) is the american neo-pragmatist. criticizing the prevalent issues of traditional philosophy such as truth, knowledge, objectivity, logic and philosophy, he considers epistemology a modern subject which emerged via forging the mind by rene descartes. in his view, separation of mind–body is an unprecedented matter created in descartes philosophy. he thinks that, i...