This article presents a critical analysis of two influential readings of Kant’s Second Analogy, namely, Gerd Buchdahl’s “modest reading” and Michael Friedman’s “strong reading.” After pointing out the textual and philosophical problems with each, I advance an alternative reading of the Second Analogy argument. On my reading, the Second Analogy argument proves the existence of necessary and strictly universal causal laws. This, however, does not guarantee that Kant has a solution for the problem of induction. After I explain why the (...) empirical lawfulness of nature does not guarantee the empirical uniformity of nature, I examine the modal status of empirical laws in Kant and argue contra Buchdahl and Friedman that empirical laws express two different kinds of necessity that are not reducible to each other. -/- . (shrink)

This paper will make the case that we can find in Kant’s Second Analogy a substantive response to Hume’s argument on induction. This response is substantive insofar as it does not merely consist in independently arguing for the opposite conclusion, but rather, it identifies and exploits a gap in this argument. More specifically, Hume misses the possibility of justifying the uniformity of nature as a synthetic a priori proposition, which Kant looks to establish in the Second Analogy. Note that the (...) focus on the paper is on Kant’s identification of the form that a solution to Hume’s inductive scepticism must take. In making this point, my paper will look to establish two lemmas: Kant identifies synthetic a priori judgments as a means of justifying metaphysical knowledge in a way that circumvents Hume’s dichotomy between matters of fact and relations of ideas; the Second Analogy looks to establish the uniformity of nature of as a synthetic a priori proposition. However, my paper generally abstains from the question of the tenability of Kant’s argument in the Second Analogy. Doing justice to this latter discussion would require more space than I am able to offer here. My paper therefore has a conditional bearing on the philosophical issue of inductive scepticism. If one believes Kant’s Second Analogy to be philosophically cogent, then Kant offers a successful justification of induction against Hume’s scepticism. If not, then at least one can still admire Kant’s identification of the gap in Hume’s argument, which, to a degree, can be exploited independently of Kant’s system. (shrink)

It seems to be a platitude that there must be a close connection between causality and the laws of nature: the laws somehow cover in general what happens in each specific case of causation. But so-called singularists disagree, and it is often thought that the locus classicus for that kind of dissent is Anscombe's famous Causality & Determination. Moreover, it is often thought that Anscombe's rejection of determinism is premised on singularism. In this paper, I show that this is a (...) mistake: Anscombe is not a singularist, but in fact only objects to a very specific, Humean understanding of the generality of laws of nature and their importance to causality. I argue that Anscombe provides us with the contours of a radically different understanding of the generality of the laws, which I suggest can be fruitfully developed in terms of recently popular dispositional accounts. And as I will show, it is this account of laws of nature (and not singularism) that allows for the possibility of indeterminism. (shrink)

In the Metaphysical Foundations of Natural Science, Kant presents an argument for the centrality of <motion> to our concept <matter>. This argument has long been considered either irredeemably obscure or otherwise defective. In this paper I provide an interpretation which defends the argument’s validity and clarifies the sense in which it aims to show that <motion> is fundamental to our conception of matter.

Consider the laws of nature—the laws of physics, for example. One familiar philosophical question about laws is this: what is it to be a law of nature? More specifically, is a law of nature a regularity, or a generalization stating a regularity? Or is it something else? Another philosophical question is: how, and to what extent, can we have knowledge of the laws of nature? I am interested here in Kant's answers to these questions, and their place within his broader (...) theoretical philosophy during the period spanning from the first to the third Critique. (shrink)

A well-known trilemma faces the interpretation of Kant’s theory of affection, namely whether the objects that affect us are empirical, noumenal, or both. I argue that according to Kant, the things that affect us and cause representations in us are not empirical objects. I articulate what I call the Causal Power Argument, according to which empirical objects cannot affect us because they do not have the right kind of power to cause representations. All the causal powers that empirical objects have (...) are moving powers, and such powers can only have spatial effects. According to Kant, however, the representations that arise in us as a result of the affection of our sensibility are non-spatial. I show that this argument is put forward by Kant in a number of passages, and figures as a decisive reason for rejecting empirical affection and instead endorsing affection by the things in themselves. (shrink)

This article addresses a simple question that has rarely been asked of Kant’s philosophy of nature: why are attraction and repulsion the two fundamental forces of matter? Where proposals can be found in the literature, they are divergent. I provide a new answer, which has strong support from the historical context: Kant pursues a modified version of what I call the ‘reduction method’ that was much debated in the German metaphysical tradition. To this, Kant crucially adds his critical doctrine of (...) regulative ideas, revealing an overlooked way that the Appendix to theCritiqueinforms his philosophy of nature. (shrink)

Why does Kant say that a “skeptical satisfaction of pure reason” is “impossible” (A758/B786)? I answer this question by giving a reading of “The Discipline of Pure Reason in Respect of Its Polemic Employment.” I explain that Kant must address skepticism in this context because his warning against developing counterarguments to dogmatic attacks encourages a comparison between the critical and the skeptical methods. I then argue that skepticism fails to “satisfy” [befriedigen] reason insofar as it cannot “pacify” reason’s tendency to (...) go beyond its own boundaries. The skeptical method reveals the past failures of dogmatic metaphysics but cannot rule out future successes. Only critical knowledge of reason’s proper bounds can do this, thereby pacifying our restless reason. I close by arguing that Kant’s discussion implies that a skeptic must feel dissatisfied with her renunciation of metaphysics, and that this dissatisfaction can lead her to take interest in Kant’s critical philosophy. (shrink)

Eric Watkins has argued on philosophical, textual, and historical grounds that Kant’s account of causation in the first Critique should not be read as an attempt to refute Hume’s account of causation. In this paper, I challenge the arguments for Watkins’ claim. Specifically, I argue (1) that Kant’s philosophical commitments, even on Watkins’ reading, are not obvious obstacles to refuting Hume, (2) that textual evidence from the “Disciple of Pure Reason” suggests Kant conceived of his account of causation as such (...) a refutation, and (3) that none of Hume’s early German critics provided responses to this account that would have satisfied Kant. Watkins’ reading of Kant’s account of causation is thus more compatible with traditional views about Kant’s relationship to Hume than Watkins believes. (shrink)

It is well known that at the heart of Kant’s Critical philosophy is the claim that the mind possesses an essentially spontaneous power or capacity. It is also sometimes maintained that Kant’s appeals to this spontaneous power are intimately tied to his recognition of there being a fundamental and irreducible normative dimension to judgement. However, I attempt to complicate this picture by way of appeal to some less appreciated influences upon the development of Kant’s epistemology. A different conception of the (...) role of spontaneity in judgement has clear precedents, I claim, in the works of Cudworth and Rousseau. There the imagined role for the active power of the mind is not to identify criteria that might serve as norms for epistemically responsible judgement. Rather the spontaneous power of the mind is cited as the source of representational contents that secure the truth conditions of our everyday claims to empirical knowledge. (shrink)

The previous two parts of the paper demonstrate that the interpretation of Fermat’s last theorem (FLT) in Hilbert arithmetic meant both in a narrow sense and in a wide sense can suggest a proof by induction in Part I and by means of the Kochen - Specker theorem in Part II. The same interpretation can serve also for a proof FLT based on Gleason’s theorem and partly similar to that in Part II. The concept of (probabilistic) measure of a subspace (...) of Hilbert space and especially its uniqueness can be unambiguously linked to that of partial algebra or incommensurability, or interpreted as a relation of the two dual branches of Hilbert arithmetic in a wide sense. The investigation of the last relation allows for FLT and Gleason’s theorem to be equated in a sense, as two dual counterparts, and the former to be inferred from the latter, as well as vice versa under an additional condition relevant to the Gödel incompleteness of arithmetic to set theory. The qubit Hilbert space itself in turn can be interpreted by the unity of FLT and Gleason’s theorem. The proof of such a fundamental result in number theory as FLT by means of Hilbert arithmetic in a wide sense can be generalized to an idea about “quantum number theory”. It is able to research mathematically the origin of Peano arithmetic from Hilbert arithmetic by mediation of the “nonstandard bijection” and its two dual branches inherently linking it to information theory. Then, infinitesimal analysis and its revolutionary application to physics can be also re-realized in that wider context, for example, as an exploration of the way for physical quantity of time (respectively, for time derivative in any temporal process considered in physics) to appear at all. Finally, the result admits a philosophical reflection of how any hierarchy arises or changes itself only thanks to its dual and idempotent counterpart. (shrink)