Descartes’s Mathematical ThoughtSpringer Science & Business Media, 9 de març 2013 - 496 pàgines 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. |
Continguts
| 13 | |
THE MATHEMATICAL THOUGHT OF CHRISTOPH | 45 |
THE FIRST ATTEMPT AT REFORMING MATHEMATICS | 95 |
The Mathematics in the Cogitationes privatae | 109 |
The Other Mathematical Instruments | 121 |
THE MATHEMATICAL BACKGROUND OF | 159 |
Mathesis Universalis | 189 |
THE GÉOMÉTRIE OF 1637 | 205 |
INTERIM CONSIDERATION | 281 |
UNIVERSAL MATHEMATICS IN ARISTOTLE | 289 |
MATHESIS UNIVERSALIS IN THE SIXTEENTH | 333 |
MATHESIS UNIVERSALIS IN THE SEVENTEENTH | 359 |
CONCLUSION | 412 |
Descartes and the Modern Scheme of Learning | 419 |
| 439 | |
| 468 | |
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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 Commandino commentary compass concept of mathesis cubic equation curves demonstrations Descartes Descartes's mathematical dialectic directionem ingenii Discours discussion edition ematics Euclid Euclid's Elements examine example Figure Flèche François Géométrie Greek History Ibid Idem interpretation Jesuit knowledge Latin Leibniz letter logic math mathematica mathematical disciplines mathematical sciences mathematical thought mathématiques mathesis universalis matical Mersenne Metaphysica metaphysics method méthode numbers Olscamp Opera mathematica Pappus Pappus's Paris passage philosophy of mathematics principles problem Proclus proportion propositions published quæ 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 καὶ