## Descartes’s Mathematical ThoughtCovering 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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### Contents

V | 13 |

VI | 16 |

VII | 19 |

VIII | 30 |

IX | 45 |

X | 50 |

XI | 63 |

XII | 72 |

XXXIV | 270 |

XXXV | 274 |

XXXVI | 281 |

XXXVII | 287 |

XXXVIII | 289 |

XXXIX | 296 |

XL | 301 |

XLI | 309 |

XIII | 84 |

XIV | 95 |

XV | 109 |

XVI | 112 |

XVII | 121 |

XVIII | 127 |

XIX | 132 |

XX | 133 |

XXI | 138 |

XXII | 145 |

XXIII | 149 |

XXIV | 159 |

XXV | 176 |

XXVI | 182 |

XXVII | 189 |

XXVIII | 205 |

XXIX | 225 |

XXX | 235 |

XXXI | 245 |

XXXII | 248 |

XXXIII | 260 |

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### Common terms and phrases

According 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 Descartes's Descartes's mathematical dialectic directionem ingenii Discours discussion edition ematical Euclid Euclid's Elements examine example Figure Fleche Francois geometry Greek History idea Idem intellectual interpretation Jesuit KaOoXov knowledge Latin Leibniz letter logic math mathematica mathematical disciplines mathematical sciences mathematical thought mathesis universalis matical Mersenne mesolabe Metaphysica metaphysics method natural numbers Olscamp Opera mathematica Pappus Pappus's Paris passage philosophy of mathematics principles problem Proclus proportion propositions published quae quantities quod Ramus Ratio studiorum Regulae ad directionem Renaissance Roomen Rule scientia seems seventeenth century sixteenth skeptics Society of Jesus solid solidorum solved statement symbolic algebra theorems theory translation treatise truth universal mathematics Viete Viete's