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BEYOND FORM AND CONTENT: LESSONS FROM NEWTON'S PHILOSOPHY OF GEOMETRY
 
Mary Domski
Department of Philosophy
California State Fresno

 
February 13, 2004
Friday, 4:00pm-6:00pm
Nursing, Room 127

 
In recent discussions of Newton's importance to the history of modern philosophy, greater weight tends to be placed on philosophical reactions to Newton's science rather than on Newton's own philosophical approach to his work. In this paper, I want to show that there are rewards to adopting this latter project by examining Newton's philosophy of geometry. By comparing Newton's practical-pragmatic understanding of geometry with Descartes' mechanistic-algebraic geometry, I argue that we have good reason to reevaluate some of the historiographical assumptions commonly brought to seventeenth century mathematics. I also show that due consideration of Newton's geometry brings us to a clearer picture of the seventeenth century philosophical concern with choosing a mathematical formalism appropriate to a chosen method of natural philosophy.
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