Descartes’s Mathematical Thought
Covering both the history of mathematics and of philosophy, Descartes's Mathematical Thought reconstructs the intellectual career of Descartes most comprehensively and originally in a global perspective including the history of early modern China and Japan. Especially, it shows what the concept of "mathesis universalis" meant before and during the period of Descartes and how it influenced the young Descartes. In fact, it was the most fundamental mathematical discipline during the seventeenth century, and for Descartes a key notion which may have led to his novel mathematics of algebraic analysis.
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THE MATHEMATICAL THOUGHT OF CHRISTOPH
THE FIRST ATTEMPTAT REFORMING MATHEMATICS
THE MATHEMATICAL BACKGROUND OF
THE GEOMETRIE OF 1637
UNIVERSAL MATHEMATICS IN ARISTOTLE
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Adriaan van Roomen algebraic analysis analytic ancient angle Aristotelian Aristotle Aristotle's arithmetic and geometry Arithmetica Barozzi Beeckman Book Cartesian certainty Chapter Clavius Clavius's Cogitationes privatae Cogito commentary compass concept of mathesis cubic equation curves demonstrations Descartes dialectic directionem ingenii Discours discussion edition ematics Euclid Euclid's Elements examine example Figure Flèche François Géométrie Greek History Ibid idea Idem intellectual interpretation Jesuit knowledge Latin Leibniz letter logic math mathematica mathematical disciplines mathematical sciences mathematical thought mathématique mathesis universalis matical Mersenne mesolabe Metaphysica metaphysics method méthode natural numbers Olscamp Opera mathematica Pappus Pappus's Paris passage philosophy of mathematics principles problem Proclus proportion propositions published quae quantity quod Ramus Ratio studiorum Regulae ad directionem Renaissance René Descartes Roomen Rule scientia seems seventeenth century sixteenth skeptics Society of Jesus solid solidorum elementis solved symbolic algebra theorems theory translation treatise truth universal mathematics Viète Viète's