In lieu of an abstract, here is a brief excerpt of the content:The Argumentative Structure of Kant’s Metaphysical Foundations Of Natural ScienceEric Watkinsone of kant’s most fundamental aims is to justify Newtonian science. However, providing a detailed explanation of even the main structure of his argument (not to mention the specific arguments that fill out this structure) is not a trivial enterprise. While it is clear that Kant’s Critique of Pure Reason (1781), his Metaphysical Foundations of Natural Science (1786), and (...) his unpublished (and incomplete) Opus postumum should in some way constitute the core of this justification, it is less clear how each of these works does so in detail. In this paper I shall first argue that the standard view of the relationship between the Critique of Pure Reason and the Metaphysical Foundations of Natural Science (hereafter simply Metaphysical Foundations) is mistaken. I shall then present my own interpretation of how the Metaphysical Foundations contributes to the justification of Newtonian science. Finally, I shall conclude by considering an important interpretation of the argument of the Metaphysical Foundations developed by Michael Friedman. However, it is first necessary to present briefly Kant’s conception of science (in particular what conditions a body of knowledge must satisfy for Kant in order to be considered science proper) as well as Kant’s own understanding of the relevant differences between his projects in the first Critique, the Metaphysical Foundations, and the Opus postumum.Kant’s conception of science is rather strict if measured by contemporary standards. For in the preface to the Metaphysical Foundations Kant establishes three substantive conditions that a body of knowledge must satisfy in order to be considered science proper.1 (1) It must not consist in empirical principles, [End Page 567] but rather must be obtained solely from pure, a priori principles;2 (2) It must be apodictically certain;3 (3)4 It must be a systematically ordered whole (which means that its various propositions must be related as, for example, antecedents and consequents).5 After stating these conditions, Kant then argues that all natural science proper requires a pure part upon which its apodictic certainty is based. In other words, satisfaction of the first condition immediately implies satisfaction of the second condition as well.6 Accordingly, these three conditions (and the first one in particular) imply that natural science proper requires (or rather presupposes) a justification by something distinct from it that Kant calls a metaphysics of nature.7 But what exactly does a metaphysics of nature encompass? Kant distinguishes two different parts of the metaphysics of nature: a transcendental part and a special part. A metaphysics of nature [End Page 568] is transcendental insofar as it concerns “the laws that make the concept of nature in general possible, even without relation to any determinate object of experience, and [insofar as it is] thus indeterminate with respect to the nature of this or that thing in the sensible world,” whereas a metaphysics of nature is special to the extent that “it is concerned with a special nature of this or that kind of thing of which an empirical concept is given, but so that except for what lies in this concept no other empirical principle is used for knowledge thereof.”8 In short, a transcendental metaphysics, revealing how experience in general is possible, is not supposed to presuppose an empirical concept, whereas a special metaphysics does make such an assumption insofar as it is concerned with the special natures of things.How do the three works cited above relate to Kant’s distinction between a transcendental and a special metaphysics of nature? In the preface to the Metaphysical Foundations Kant clearly indicates that he intends the Metaphysical Foundations to constitute the special metaphysics of nature. Although he does not explicitly refer to the first Critique in the preface, it is also relatively clear that he sees it (or at least the ‘System of Pure Reason’ that Kant foresees as following upon it and as incorporating its fundamental results)9 as constituting [End Page 569] the transcendental part of a metaphysics of nature.10 The Principles of Pure Understanding (‘Grundsätze des reinen Verstandes’) in the Transcendental Analytic argue for what could naturally be described as “laws... (shrink)

Kant's Critique of Pure Reason makes important claims about space, time and mathematics in both the Transcendental Aesthetic and the Axioms of Intuition, claims that appear to overlap in some ways and contradict in others. Various interpretations have been offered to resolve these tensions; I argue for an interpretation that accords the Axioms of Intuition a more important role in explaining mathematical cognition than it is usually given. Appreciation for this larger role reveals that magnitudes are central to Kant's philosophy (...) of mathematics and to the part that intuition plays in it. (shrink)

This paper examines the role of Kant's theory of mathematical cognition in his phoronomy, his pure doctrine of motion. I argue that Kant's account of how we can construct the composition of motion rests on the construction of extended intervals of space and time, and the representation of the identity of the part–whole relations the construction of these intervals allow. Furthermore, the construction of instantaneous velocities and their composition also rests on the representation of extended intervals of space and time, (...) reflecting the general approach to instantaneous velocity in the eighteenth century. (shrink)

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)

One of the central issues dividing proponents of metaphysical interpretations of transcendental idealism concerns Kant’s views on the distinctness of things in themselves and appearances. Proponents of metaphysical one-object interpretations claim that things in themselves and appearances are related by some kind of one-object grounding relation, through which the grounding and grounded relata are different aspects of the same object. Proponents of metaphysical two-object interpretations, by contrast, claim that things in themselves and appearances are related by some kind of two-object (...) grounding relation, through which the grounding and grounded relata involve distinct objects. By way of investigating Kant’s overarching account of grounding, I will argue that the most plausible metaphysical interpretation of transcendental idealism is one on which we can know that there are things in themselves grounding appearances, but not which specific kind of one- or two-object grounding relation obtain between them. Our ignorance of things in themselves therefore extends to their distinctness from appearances — pace both metaphysical one-object interpretations and metaphysical two-object interpretations. (shrink)