Reasoning with the Infinite: From the Closed World to the Mathematical Universe (original) (raw)

The American Historical Review, 1999

Abstract

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

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