From late 1684 through mid-1685, Isaac Newton turned to developing and refining the conceptual foundations presupposed by his emerging physics. Analysis of his manuscripts from this period reveals that Newton’s understanding of the relativity of acceleration led him to seek a spatiotemporally invariant quantity of matter. He found two such quantities and then designed an experiment to discover their relationship. Interpreting the experiment, however, required distinguishing a new notion of force. Others have recognized the conceptual distinction between inertial and gravitational (...) mass. I show here that Newton clearly saw this distinction and that he provisionally established their equivalence. (shrink)

On an influential view, Newton's mechanics is built into Kant's very theory of exact knowledge. However, Newtonian dynamics had serious explanatory limits already known by 1750. Thus, we might worry that Kant's Analytic is too narrow to ground enough exact knowledge. In this paper, I draw on Enlightenment dynamics to show that Kant's notion of determinate objecthood is sufficiently broad, non-trivial, and still relevant to the present.

In his Metaphysische Anfangsgründe der Naturwissenschaft, Kant claims that chemistry is a science, but not a proper science (like physics), because it does not adequately allow for the application of mathematics to its objects. This paper argues that the application of mathematics to a proper science is best thought of as depending upon a coordination between mathematically constructible concepts and those of the science. In physics, the proper science that exhausts the a priori knowledge of objects of the outer sense, (...) only motions and concepts reducible to motions can be legitimately coordinated with mathematical constructions. Since chemistry can neither achieve its own a priori principles of coordination nor be reduced to the coordinated doctrine of motion, it is a merely improper science. (shrink)

Modern social orders are legitimized by the ideal of freedom. Most conceptions of this ideal are theorized against the backdrop of nature understood as governed by its own laws beyond the realm of the social. However, such an understanding of nature is now being challenged by the ‘Anthropocene’ hypothesis. This article investigates the consequences of this hypothesis for freedom as an ideal legitimizing social order. We begin by discussing the conception of legitimation, after which we examine three classical notions of (...) freedom (developed by Hobbes, Kant, and Hegel), in light of the Anthropocene. Following our claim that these notions all have severe weaknesses in view of the Anthropocene, we argue that modern social orders are facing a new legitimation crisis. Such a crisis, we suggest, involves a ‘brutalization of social conflicts’, which under the conditions of the Anthropocene assumes the form of geo-social conflict. (shrink)