Many interpretations of Kant’s first Critique fail to appreciate the revolutionary nature of his account of knowledge and its implications for skepticism, givenness and mind-independence, because they read Kant as holding a compositional account of knowledge. I contend that the reason for this is that this account is both naturally appealing in its own right, and fits an influential reading of Kant’s Transcendental Deduction. On this reading, the Deduction aims to respond to a skeptical worry which issues from the empiricist (...) version of epistemic compositionalism and which questions the intelligibility of the claim to knowledge of our judgements. Against this, I argue that what Kant’s Deduction actually aims to address is a radicalization of this epistemic worry, which instead questions the intelligibility of the objective purport of our judgements. I contend that the compositional account is unable to respond to this more radical worry, thereby putting it into question both as a reading of Kant, and as an account of knowledge generally. To corroborate this, I provide a reading of the Deduction that overcomes epistemic compositionalism by thinking through its shortcomings in order to arrive at a more adequate successor account: the hylomorphic account of knowledge, which, I contend, is able to dissolve both the more radical and the epistemic worry. I suggest that this implies generally that the epistemic worry issuing from the compositional account is not self-contained, but must give way to Kant’s more radical worry, which I argue can only be addressed within the underappreciated framework of epistemic hylomorphism. (shrink)

In theCritique of Pure Reason,Kant argues for two principles that concern magnitudes. The first is the principle that ‘All intuitions are extensive magnitudes,’ which appears in the Axioms of Intuition ; the second is the principle that ‘In all appearances the real, which is an object of sensation, has an intensive magnitude, that is, a degree,’ which appears in the Anticipations of Perception. A circle drawn in geometry and the space occupied by an object such as a book are paradigm (...) examples of extensive magnitudes, while the intensity of a light is a paradigm example of an intensive magnitude. These principles justify and explain the possibility of applying mathematics to objects of experience. The Axioms principle also explains the possibility of any mathematical cognition at all. (shrink)

In this paper, I argue that in the sense of greatest epistemological concern for Kant, empirical cognition is “rational sensory discrimination”: the identification or differentiation of sensory objects from each other, occurring through a capacity to become aware of and express judgments. With this account of empirical cognition, I show how the transcendental deduction of the first Critique is most plausibly read as having as its fundamental assumption the thesis that we have empirical cognition, and I provide evidence that Kant (...) understood Hume as granting this assumption. (shrink)

I propose that we interpret Kant’s argument from incongruent counterparts in the 1768 article ‘Concerning the Ultimate Ground of the Differentiation of Directions in Space’ in light of a theory of dynamic absolute space that he accepted throughout the 1750s and 1760s. This force-based or material conception of space was not an unusual interpretation of the Newtonian notion of absolute space. Nevertheless, commentators have continually argued that Kant’s argument is an utter failure that shifts from the metaphysics of space to (...) its epistemology, because he has no way to connect ‘directionality’ and ‘handedness’ to absolute space. This supposed failure is based on an understanding of absolute space in purely mathematical terms and as an absolute void that lacks any qualitative or dynamic features. If we recognize that Kant held that space had an intrinsic directional asymmetry then his argument successfully connects incongruent counterparts to absolute space. The presence of this notion in Kant’s pre-Critical thought is rarely noted, and its necessity in understanding his incongruence argument is novel. (shrink)

Despite Decades of scholarly attention certain sections of Kant's first Critique have proved recalcitrant to received readings, canonical interpretations are impossible to come by. Nowhere is this more apparent than in the literature on Kant's treatment of causality in the Second Analogy, where there exists a controversy of many years standing about the success of Kant's arguments in favour of what has come to be known as ‘the causal principle’. For example, contemporary Kant scholars of stature no less than Lewis (...) White Beck and W.H. Walsh argue that Kant offers a uniquely persuasive case for causation. Other interpreters claim that the materials of the Second Analogy fail utterly to provide what is needed to vindicate judgements of cause and effect in a way that would satisfy the sceptic about causation.2 Thus the despairing conclusion of one recent review of the literature on the Second Analogy:It is possible that there lurks somewhere in the pages of the Critique of Pure Reason a convincing reply to Hume's sceptical doubts about the causal principle. But no such reply has yet been brought to light. (shrink)

In the A-preface of the Critique of Pure Reason, Kant kindly warns his readers to pay special attention to the chapter on the “Deduction of the Pure Concepts of the Understanding.” Looking to mitigate the reader's effort, Kant goes on to explain the chapter's methodology, suggesting that the inquiry will have “two sides.” One side deals with the “objective validity” of the pure categories of the understanding; he calls this the “objective deduction.” The other deals with the powers of cognition (...) on which the understanding rests; he calls this the “subjective deduction.” Having gone to such great lengths to outline his method ahead of time, it comes as no small surprise that the actual chapter offers no clear indication of where the two deductions are located. In this essay, I attempt to solve this puzzle. On the way, I engage with both traditional and recent interpretations of the subjective deduction, arguing that they fail—in one way or another—to satisfy the criteria that Kant develops in the preface. (shrink)

This article notes six advances in recent analytic Kant research: (1) Strawson's interpretation, which, together with work by Bennett, Sellars, and others, brought renewed attention to Kant through its account of space, time, objects, and the Transcendental Deduction and its sharp criticisms of Kant on causality and idealism; (2) the subsequent investigations of Kantian topics ranging from cognitive science and philosophy of science to mathematics; (3) the detailed work, by a number of scholars, on the Transcendental Deduction; (4) the clearer (...) understanding of transcendental idealism sparked by reactions to Allison's epistemic account; (5) the resulting need—prompted also by new studies of the thing in itself—to face up to the old question of the philosophical defensibility of such idealism; and (6) the active engagement with Kant's ethics and political philosophy that derives from Rawls's and others' work. (shrink)

This review of contemporary discussions of Kantian philosophy of mathematics is timed for the publication of the essay Kant’s Philosophy of Mathematics. Volume 1: The Critical Philosophy and Its Roots (2020) edited by Carl Posy and Ofra Rechter. The main discussions and comments are based on the texts contained in this collection. I first examine the more general questions which have to do not only with the philosophy of mathematics, but also with related areas of Kant’s philosophy, e. g. the (...) question: What is intuition and singular term? Then I look at more specific questions, e. g.: What is the subject of arithmetic and what is the significance of diagrams in mathematical reasoning? As a result, the reader is presented with a fairly complete overview of modern discussions which can be used as an introduction to the problem field of Kant’s philosophy of mathematics. (shrink)

This paper describes an attempt to repurpose Kant’s a priori psychology as the architectural blueprint for a machine learning system. First, it describes the conditions that must be satisfied for the agent to achieve unity of experience: the intuitions must be connected, via binary relations, so as to satisfy various unity conditions. Second, it shows how the categories are derived within this model: the categories are pure unary predicates that are derived from the pure binary relations. Third, I describe how (...) Kant’s cognitive architecture has been implemented in a computer system (the Apperception Engine) and show in detail what it is like for the system to construct a unified experience from a sequence of raw sensory input. (shrink)

In the Critique of Fure Reason Kant distinguishes two sorts of conditions of knowledge. First, there are the space and time of pure intuition, introduced in the Transcendental Aesthetic. They are grounded in our dependence on a special sort of perceptual field for the location of objects. Second, there are pure concepts of the understanding, or categories, introduced in the Analytic. In one respect these are grounded in the logical function of the understanding in judgements, introduced in the first chapter (...) of the analytic of concepts: Clue to the Discovery of All Pure Concepts of the Understanding; in another respect, they are grounded in transcendental unity of apperception, which is introduced in the second chapter: Deduction of the Pure Concepts of the Understanding, or Transcendental Deduction. I shall be concerned with the latter and its contribution to the overall strategy of argument in the analytic. Within the Analytic, Kant distinguishes between an Analytic of Concepts and an Analytic of Principles. This corresponds to a traditional distinction between a doctrine of concepts and judgement. It is arguable that Kant's theory of concepts undermines this distinction. However, I shall not deal with that general issue, but with a more specific issue related to the first two chapters of the Analytic of Principles: the Schematism and the System of Principles. (shrink)

I argue for a basically Sartrean approach to the idea that one's self-concept, and any form of knowledge of oneself as an individual subject, presupposes concepts and knowledge about other things. The necessity stems from a pre-conceptual structure which assures that original self-consciousness is identical with one's consciousness of objects themselves. It is not a distinct accomplishment merely dependent on the latter. The analysis extends the matter/form distinction to concepts. It also requires a distinction between two notions of consciousness: one (...) relates to the employment of already formed concepts, the other to the structures of imaginative apprehension that help to constitute (empirical) concepts from the start. We need to see that (1) so far as objects are only conceptualized appearances, the material through which we apprehend them must be reflected in that apprehension itself; (2) the corresponding material consists of a manifold of pre-conceptually active anticipations and retentions concerning the course of one's own experience. The resultant structure imposes an orientation on the world of appearances that does not derive from a concept of oneself as an individual in it, but that nevertheless provides the only possible basis for such a concept. One's self-concept, at least as empirical subject, is simply that ofwhatever subject is indicated, in an appropriate way, by that orientation. (shrink)

In the Critique of Pure Reason, following his elucidation of the ‘postulates’ of possibility, actuality, and necessity, Kant makes a series of puzzling remarks. He seems to deny the somewhat metaphysically intuitive contention that the extension of possibility is greater than that of actuality, which, in turn, is greater than that of necessity. Further, he states that the actual adds nothing to the possible. This leads to the view, fairly common in the literature, that Kant holds that all modal categories, (...) in their empirical applications, are coextensive. I diverge from the common view. First, Kant is not committed to the coextensiveness thesis, understood as above. Instead, he espouses a weaker, epistemological version of the coextensiveness thesis, namely that what we can assert to be really possible is coextensive with what we cognize to be actual. Second, Kant's remarks are not intended to introduce a positive ontological thesis about the extensions of modal categories. Rather, he means to criticize a certain conception of modalities that was prevalent among his rationalist predecessors, i.e., the conception of modalities as various determinations that enter the intensions of concepts of things. (shrink)

How do we form concepts like those of three, bicycle and red? According to Kant, we form them by carrying out acts of comparison, reflection and abstraction on information provided by the senses. Kant's answer raised numerous objections from philosophers and psychologists alike. "Kant e la formazione dei concetti" argues that Kant is able to rebut those objections. The book shows that, for Kant, it is possible to perceive objects without employing concepts; it explains how, given those perceptions, we can (...) form categories and empirical concepts; and it argues that theories like Kant's - abstractionist theories of concept formation - are more plausible than is often assumed. (shrink)

Nos proponemos abordar la tesis de la segunda antinomia. Primero, intentaremos demostrar que la tesis y su prueba sólo pueden versar sobre partes simples materiales de cuerpos extensos en el espacio, y no sobre sustancias simples inmateriales. En segundo lugar, intentaremos demostrar que en la tesis y su prueba intervienen una síntesis categorial y una síntesis empírica correspondientes a la categoría de cualidad, lo que conduce a afirmar que la prueba no procede por meros conceptos, sino que introduce cierta referencia (...) a la intuición. Dicha referencia será explicada a través de la síntesis empírica de realidad y confirmara que la tesis se refiere a partes simples corpóreas. (shrink)