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Full Description
Galileo's dictum that the book of nature "is written in the language of mathematics" is emblematic of the accepted view that the scientific revolution hinged on the conceptual and methodological integration of mathematics and natural philosophy. Although the mathematization of nature is a distinctive and crucial feature of the emergence of modern science in the seventeenth century, this volume shows that it was a far more complex, contested, and context-dependent phenomenon than the received historiography has indicated, and that philosophical controversies about the implications of mathematization cannot be understood in isolation from broader social developments related to the status and practice of mathematics in various commercial, political, and academic institutions.Contributors: Roger Ariew, U of South Florida; Richard T. W. Arthur, McMaster U; Lesley B. Cormack, U of Alberta; Daniel Garber, Princeton U; Ursula Goldenbaum, Emory U; Dana Jalobeanu, U of Bucharest; Douglas Jesseph, U of South Florida; Carla Rita Palmerino, Radboud U, Nijmegen and Open U of the Netherlands; Eileen Reeves, Princeton U; Christopher Smeenk, Western U; Justin E. H. Smith, U of Paris 7; Kurt Smith, Bloomsburg U of Pennsylvania.
Contents
ContentsIntroduction Geoffrey Gorham, Benjamin Hill, and Edward Slowik1. Reading the Book of Nature: The Ontological and Epistemological Underpinnings of Galileo's Mathematical RealismCarla Rita Palmerino2. "The Marriage of Physics with Mathematics": Francis Bacon on Measurement, Mathematics and the Construction of a Mathematical PhysicsDana Jalobeanu 3. On the Mathematization of Free Fall: Galileo, Descartes, and a History of MisconstrualRichard T. W. Arthur 4. The Mathematization of Nature in Descartes and the First CartesiansRoger Ariew5. Laws of Nature and the Mathematics of MotionDaniel Garber6. Ratios, Quotients, and the Language of NatureDouglas Jesseph7. Color By Numbers: The Harmonious Palette in Early Modern PaintingEileen Reeves 8. The Role of Mathematical Practitioners and Mathematical Practice in Developing Mathematics as the Language of NatureLesley B. Cormack 9. Leibniz on Order and the Notion of Substance: Mathematizing the Sciences of Metaphysics and PhysicsKurt Smith10. Leibniz's Harlequinade: Nature, Infinity, and the Limits of MathematizationJustin E. H. Smith11. The Geometrical Method as a New Standard of Truth, Based on the Mathematization of NatureUrsula Goldenbaum12. Philosophical Geometers and Geometrical PhilosophersChristopher Smeenk ContributorsIndex
