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Discipline and Experience
The Mathematical Way in the Scientific Revolution
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Peter Dear
Language:
English
Published/Copyright:
1995
About this book
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."
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."
Topics
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Frontmatter
i -
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CONTENTS
vii -
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FIGURES
ix -
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ACKNOWLEDGMENTS
xi -
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NOTE ON CITATIONS AND TRANSLATIONS
xiii -
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INTRODUCTION: THE MEASURE OF ALL THINGS
1 -
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1. INDUCTION IN EARLYMODERN EUROPE
11 -
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2. EXPERIENCE AND JESUIT MATHEMATICAL SCIENCE: THE PRACTICAL IMPORTANCE OF METHODOLOGY
32 -
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3. EXPERTISE, NOVEL CLAIMS, AND EXPERIMENTAL EVENTS
63 -
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4. APOSTOLIC SUCCESSION, ASTRONOMICAL KNOWLEDGE, AND SCIENTIFIC TRADITIONS
93 -
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5. THE USES OF EXPERIENCE
124 -
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6.ART, NATURE, METAPHOR; THE GROWTH OF PHYSICOMATHEMATICS
151 -
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7. PASCAL'S VOID, NATURAL PHILOSOPHERS, AND MATHEMATICAL EXPERIENCE
180 -
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8. BARROW, NEWTON, AND CONSTRUCTIVIST EXPERIMENT
210 -
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CONCLUSION: A MATHEMATICAL NATURAL PHILOSOPHY?
245 -
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BIBLIOGRAPHY
251 -
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INDEX
281
Publishing information
Pages and Images/Illustrations in book
eBook published on:
May 13, 2009
eBook ISBN:
9780226139524
Pages and Images/Illustrations in book
Main content:
304
Other:
3 halftones, 4 line drawings
eBook ISBN:
9780226139524
Keywords for this book
science; scientific revolution; math; mathematics; modern; natural world; experience; 17th century; astronomy; optics; mechanics; philosophy; history; historical; marin mersenne; rene descartes; blaise pascal; sir isaac newton; early-modern europe; mythology; expertise; experimental; traditions; physico-mathematics; constructivist experiment
Audience(s) for this book
Professional and scholarly;