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The Language of Nature: Reassessing the Mathematization of Natural Philosophy in the 17th Century

Volume 20: Minnesota Studies in Philosophy of Science

Table of Contents

Introduction…1
Geoffrey Gorham, Benjamin Hill and Edward Slowik

Reading the Book of Nature: The Ontological and Epistemological Underpinnings of Galileo’s Mathematical Realism”…29
Carla Rita Palmerino

‘The Marriage of Physics with Mathematics’: Francis Bacon on Measurement, Mathematics and the Construction of a Mathematical Physics51
Dana Jalobeanu

On the Mathematization of Free Fall: Galileo, Descartes, and a History of Misconstrual81
Richard Arthur

The Mathematization of Nature in Descartes and the First Cartesians112
Roger Ariew

Laws of Nature and the Mathematics of Motion134
Daniel Garber

Ratios, Quotients, and the Language of Nature160
Douglas Jesseph

Color By Numbers: The Harmonious Palette in Early Modern Painting178
Eileen Reeves

The Role of Mathematical Practitioners and Mathematical Practice in developing Mathematics as the Language of Nature205
Lesley Cormack

Leibniz on Order and the Notion of Substance: Mathematizing the Sciences of Metaphysics and Physics229
Kurt Smith

Leibniz’s Harlequinade: Nature, Infinity, and the Limits of Mathematization250
Justin H. E. Smith

The Geometrical Method as a New Standard of Truth, based on the Mathematization of Nature274
Ursula Goldenbaum

Philosophical Geometers and Geometrical Philosophers308
Christopher Smeenk

Contributors339

Index343

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