Reasoning with the Infinite

Translator's Note
Introduction
1: Infinity Eliminated; or, Huygens's Theory of the Motion of Heavy Bodies
1: Establishing the General Fact of Gravity
2: Mathematical Speculations about Curvilinear Falls
3: The Deductive Scheme of the Science of Motion of Heavy Bodies
2: First and Last Ratios in the Newtonian Theory of Central Forces
1: The Construction of Circular Motion
2: Mechanist Interlude: Centrifugal Force and Weight
3: The Deductive Scheme of Newton's Principia
3: The Science of Motion in the Workshops of Infinity
1: Satisfying Reason
2: Ratios of the Beginnings, Ends, and Continuous Evolution of Motions
4: Motion Algorithmized
1: Introduction and Import of the Leibnizian Calculus
2: The New Algorithmic Science of Motion
Epilogue: Fontenelle and the Reasons of Infinity
1: The Mathematics of Infinity
2: Mathematical Physics and the Rationalization of Infinites
Notes
Bibliography
Index