Thomas Holden presents a fascinating study of theories of matter in the seventeenth and eighteenth centuries. These theories were plagued by a complex of interrelated problems concerning matter's divisibility, composition, and internal architecture. Is any material body infinitely divisible? Must we posit atoms or elemental minima from which bodies are ultimately composed? Are the parts of material bodies themselves material concreta? Or are they merely potentialities or possible existents? Questions such as these -- and the press of subtler questions hidden (...) in their amibiguities -- deeply unsettled philosophers of the early modern period. They seemed to expose serious paradoxes in the new world view pioneered by Galileo, Descartes, and Newton. The new science's account of a fundamentally geometrical Creation, mathematicizable and intelligible to the human inquirer, seemed to be under threat. This was a great scandal, and the philosophers of the period accordingly made various attempts to disarm the paradoxes. All the great figures address the issue: most famously Leibniz and Kant, but also Galileo, Hobbes, Newton, Hume, and Reid, in addition to a crowd of lesser figures. Thomas Holden offers a brilliant synthesis of these discussions and presents his own overarching interpretation of the controversy, locating the underlying problem in the tension between the early moderns' account of material parts on the one hand and the program of the geometrization of nature on the other. (shrink)

: Pierre Bayle is the most forthright and systematic early modern proponent of the actual parts doctrine, the period's counterpart to the 'doctrine of arbitrary undetached parts' familiar from current analytic mereology and metaphysics. In this paper I introduce both the actual parts account of the internal structure of matter and the rival system of potential parts. I then identify Bayle as the leading advocate of the actual parts doctrine and examine his arguments for this account.

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. (shrink)