The Unity of Science in Early-Modern Philosophy: Subalternation, Metaphysics and the Geometrical Manner in Scholasticism, Galileo and Descartes
The Unity of Science in Early-Modern Philosophy: Subalternation, Metaphysics and the Geometrical Manner in Scholasticism, Galileo and Descartes by Zvi Biener M.A. in Philosophy, University of Pittsburgh, 2004 B.A. in Physics, Rutgers University, 1995 B.A. in Philosophy, Rutgers University, 1995 Submitted to the Graduate Faculty of Arts and Sciences in partial fulfillment of the requirements for the degree of Doctor of Philosophy University of Pittsburgh 2008 UNIVERSITY OF PITTSBURGH FACULTY OF ARTS AND SCIENCES This dissertation was presented by Zvi Biener It was defended on April 3, 2008 and approved by Peter Machamer J.E. McGuire Daniel Garber James G. Lennox Paolo Palmieri Dissertation Advisors: Peter Machamer, J.E. McGuire ii Copyright c by Zvi Biener 2008 iii The Unity of Science in Early-Modern Philosophy: Subalternation, Metaphysics and the Geometrical Manner in Scholasticism, Galileo and Descartes Zvi Biener, PhD University of Pittsburgh, 2008 The project of constructing a complete system of knowledge—a system capable of integrating all that is and could possibly be known—was common to many early-modern philosophers and was championed with particular alacrity by Ren´eDescartes. The inspiration for this project often came from mathematics in general and from geometry in particular: Just as propositions were ordered in a geometrical demonstration, the argument went, so should propositions be ordered in an overall system of knowledge. Science, it was thought, had to proceed more geometrico. I offer a new interpretation of ‘science more geometrico’ based on an analysis of the explanatory forms used in certain branches of geometry. These branches were optics, as- tronomy, and mechanics; the so-called subalternate, subordinate, or mixed-mathematical sciences.
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