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  1. Rene Descartes, French mathematician and philosopher, generally regarded as the founder of modern Western philosophy. He is known for his epistemological foundationalism as expressed in the cogito (‘I think, therefore I am’), his metaphysical dualism, and his rationalism based on innate ideas of mind, matter, and God.

    • Richard A. Watson
  2. Dec 3, 2008 · René Descartes (1596–1650) was a creative mathematician of the first order, an important scientific thinker, and an original metaphysician. During the course of his life, he was a mathematician first, a natural scientist or “natural philosopher” second, and a metaphysician third.

  3. Descartes' work provided the basis for the calculus developed by Leibniz and Newton, who applied the infinitesimal calculus to the tangent line problem, thus permitting the evolution of that branch of modern mathematics. [140] His rule of signs is also a commonly used method to determine the number of positive and negative roots of a polynomial.

  4. Dec 3, 1997 · The relaxed standards interpretation falls short for another reason. It leaves unexplained why Descartes cites a divine guarantee for the conclusion that sensations are caused by material objects. On another kind of interpretation, the troubling passage appealing to a “great propensity” does not mark a relaxing of epistemic standards.

  5. Nov 5, 2023 · Descartes’ goal with the Meditations of First Philosophy was to make an argument for the existence of God. I feel that in order to do this justice, I must give the argument a little background. Descartes was not the first to propose an ontological argument for the existence of God. His just happens to be the best one that has ever been proposed.

  6. This why Descartes argues that the analytic method is the appropriate method for discovering the a priori necessary truths that are the starting point for any genuine science, not only a science like geometry but also as providing the necessary theoretical truths required by the eliminative methods of empirical experimental science.

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  8. Dec 16, 2023 · Descartes stands out in intellectual history for his natural scientific curiosity and the presence of a practical spirit (AT I 458–460), traits reflected in his new and extensive philosophical production, and revealed in the lexicon of his novel method of scientific analysis, in expressions such as mathesis universalis; eternal truths; simple natures; intuition and deduction; bon sens; ego ...

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