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Discipline and Experience

The Mathematical Way in the Scientific Revolution

Although the Scientific Revolution has long been regarded as the beginning of modern science, there has been little consensus about its true character. While the application of mathematics to the study of the natural world has always been recognized as an important factor, the role of experiment has been less clearly understood.

Peter Dear investigates the nature of the change that occurred during this period, focusing particular attention on evolving notions of experience and how these developed into the experimental work that is at the center of modern science. He examines seventeenth-century mathematical sciences—astronomy, optics, and mechanics—not as abstract ideas, but as vital enterprises that involved practices related to both experience and experiment. Dear illuminates how mathematicians and natural philosophers of the period—Mersenne, Descartes, Pascal, Barrow, Newton, Boyle, and the Jesuits—used experience in their argumentation, and how and why these approaches changed over the course of a century. Drawing on mathematical texts and works of natural philosophy from all over Europe, he describes a process of change that was gradual, halting, sometimes contradictory—far from the sharp break with intellectual tradition implied by the term "revolution."

304 pages | 3 halftones, 4 line drawings | 6 x 9 | © 1995

History of Science

Table of Contents

List of Figures
Note on Citations and Translations
Introduction: The Measure of All Things
1: Induction in Early-Modern Europe
2: Experience and Jesuit Mathematical Science: The Practical Importance of Methodology
3: Expertise, Novel Claims, and Experimental Events
4: Apostolic Succession, Astronomical Knowledge, and Scientific Traditions
5: The Uses of Experience
6: Art, Nature, Metaphor: The Growth of Physico-Mathematics
7: Pascal’s Void, Natural Philosophers, and Mathematical Experience
8: Barrow, Newton, and Constructivist Experiment
Conclusion: A Mathematical Natural Philosophy?


Society for Social Studies of Science: Ludwik Fleck Prize

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