The Antinomy of Material Composition: Galileo to Kant

Dissertation, The University of North Carolina at Chapel Hill (2000)
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Abstract

This dissertation is a historical and critical study of a controversy that raged among all the great figures of Enlightenment natural philosophy. The issue at stake is the structure or internal architecture of matter. One the one hand, an array of a priori arguments seems to show that matter must be fundamentally discrete in its fine structure: it must resolve to metaphysical atoms or monads. On the other hand, an opposing battery of a priori arguments seems to show that it must be fundamentally continuous and altogether without simple first elements. ;The conflict between these rival sets of arguments deeply unsettled natural philosophers of the Enlightenment. Since both incompatible sets of arguments seemed compelling, the clash between them appeared to expose a paradox or antinomy in the new world view pioneered by Galileo and Newton. The new science's account of a fundamentally geometrical Creation, mathematicizable and intelligible to the human inquirer, seemed to be under threat. ;In this dissertation I present a rational reconstruction of the Enlightenment debate that challenges the standard interpretation in the secondary literature. Contra that standard interpretation, I argue that the debate turns crucially on substantive metaphysical theses about the 'filling' or 'stuffing' of matter, not just on theses about its mathematically tractable form or structure. The early moderns were committed to a particular metaphysical doctrine concerning the stuffing of matter and it is this doctrine that lies behind the paradoxes of material composition. Having set out this new metaphysical reading of the Enlightenment debate, I then mobilize it in order to reassess the various early modern responses to the paradoxes of material structure

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Thomas Holden
University of California, Santa Barbara

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