CONTENTS

Introduction

GEOFFREY GORHAM, BENJAMIN HILL, AND EDWARD SLOWIK

1. Reading the Book of Nature: The Ontological and Epistemological Underpinnings of Galileo’s Mathematical Realism

CARLA RITA PALMERINO

2. “The Marriage of Physics with Mathematics”: Francis Bacon on Measurement, Mathematics, and the Construction of a Mathematical Physics

DANA JALOBEANU

3. On the Mathematization of Free Fall: Galileo, Descartes, and a History of Misconstrual

RICHARD T. W. ARTHUR

4. The Mathematization of Nature in Descartes and the First Cartesians

ROGER ARIEW

5. Laws of Nature and the Mathematics of Motion

DANIEL GARBER

6. Ratios, Quotients, and the Language of Nature

DOUGLAS JESSEPH

7. Color by Numbers: The Harmonious Palette in Early Modern Painting

EILEEN REEVES

  8. The Role of Mathematical Practitioners and Mathematical Practice in Developing Mathematics as the Language of Nature

LESLEY B. CORMACK

9. Leibniz on Order, Harmony, and the Notion of Substance: Mathematizing the Sciences of Metaphysics and Physics

KURT SMITH

10. Leibniz’s Harlequinade: Nature, Infinity, and the Limits of Mathematization

JUSTIN E. H. SMITH

11. The Geometrical Method as a New Standard of Truth, Based on the Mathematization of Nature

URSULA GOLDENBAUM

12. Philosophical Geometers and Geometrical Philosophers

CHRISTOPHER SMEENK

Contributors

Index