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 (B202); 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 (B207). 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)

One of the strongest motivations for conceptualist readings of Kant is the belief that the Transcendental Deduction is incompatible with nonconceptualism. In this article, I argue that this belief is simply false: the Deduction and nonconceptualism are compatible at both an exegetical and a philosophical level. Placing particular emphasis on the case of non-human animals, I discuss in detail how and why my reading diverges from those of Ginsborg, Allais, Gomes and others. I suggest ultimately that it is only by (...) embracing nonconceptualism that we can fully recognise the delicate calibration of the trap which the Critique sets for Hume. (shrink)

In Kant and the Demands of Self-Consciousness, Pierre Keller examines Kant's theory of self-consciousness and argues that it succeeds in explaining how both subjective and objective experience are possible. Previous interpretations of Kant's theory have held that he treats all self-consciousness as knowledge of objective states of affairs, and also that self-consciousness can be interpreted as knowledge of personal identity. By developing this striking new interpretation Keller is able to argue that transcendental self-consciousness underwrites a general theory of objectivity and (...) subjectivity at the same time. (shrink)

In his Critique of Pure Reason, Kant makes the interesting, but obscure claim that the normative constraints that constitute the objectivity of our representations have their source ultimately in transcendental apperception. Keller focuses on this claim. He interprets Kant’s condition of transcendental apperception as the claim that I must represent myself in an impersonal way, and he argues that impersonal self-consciousness is a necessary condition under which I can distinguish my particular take on things from the way things are independently (...) of my own perspective on them. He elaborates his interpretation and defense of the condition of transcendental self-consciousness by discussing its role in each of the central arguments in the Critique in which the notion importantly figures: the transcendental deduction in both the first edition and in the second, the Analogies of Experience, the Paralogisms, and the second-edition refutation of idealism. (shrink)

Kant famously declares that “although all our cognition commences with experience, … it does not on that account all arise from experience”. This marks Kant’s disagreement with empiricism, and his contention that human knowledge and experience require both sensation and the use of certain a priori concepts, the Categories. However, this is only the surface of Kant’s much deeper, though neglected view about the nature of reason and judgment. Kant holds that even our a priori concepts are acquired, not from (...) sensation, but “originally,” because our mind has a fundamental capacity to judge that, upon sensory stimulation, generates the Categories through its basic logical functions of judgment. This “epigenesis” of reason and our fundamental capacity to judge that drives it is the topic of Longuenesse’s fascinating book, and the source of her title. (shrink)

Wonderfully clear, scholarly, and well argued, Kant’s Intuitionism offers a bold new interpretation of the thesis of the Transcendental Aesthetic. Falkenstein reads Kant as a “formal intuitionist.” That is, he takes Kant to have maintained that the forms of intuition, space, and time were given along with sensations. They were neither preexisting representations, nor intellectual or imaginative constructions out of sensations. In this context “given” contrasts with “constructed”; subjects’ representations of space and time derived from their sensory constitutions. When subjects’ (...) senses were stimulated, that produced sensations with intensities varying according to the stimulus; because of the subjects’ constitutions, the intensity values were ordered after one another in time and adjacent to one another in space. Falkenstein characterizes space and time as “presentational orders” of sensations. (shrink)

In this collection of essays Béatrice Longuenesse considers the three aspects of Kant's philosophy, his epistemology and metaphysics of nature, his moral philosophy and his aesthetic theory, under one unifying standpoint: Kant's conception of our capacity to form judgements. She argues that the elements which make up our cognitive access to the world - what Kant calls the 'human point of view' - have an equally important role to play in our moral evaluations and our aesthetic judgements. Her discussion ranges (...) over Kant's account of our representations of space and time, his conception of the logical forms of judgements, sufficient reason, causality, community, God, freedom, morality, and beauty in nature and art. Her book will appeal to all who are interested in Kant and his thought. (shrink)

R. Lanier Anderson presents a new account of Kant's distinction between analytic and synthetic judgments, and provides it with a clear basis within traditional logic. He reconstructs compelling claims about the syntheticity of elementary mathematics, and re-animates Kant's arguments against traditional metaphysics in the Critique of Pure Reason.

I advance a novel interpretation of Kant's argument that our original representation of space must be intuitive, according to which the intuitive status of spatial representation is secured by its infinitary structure. I defend a conception of intuitive representation as what must be given to the mind in order to be thought at all. Discursive representation, as modelled on the specific division of a highest genus into species, cannot account for infinite complexity. Because we represent space as infinitely complex, the (...) spatial manifold cannot be generated discursively and must therefore be given to the mind, i.e. represented in intuition. (shrink)

In his argument for the possibility of knowledge of spatial objects, in the Transcendental Deduction of the B-version of the Critique of Pure Reason, Kant makes a crucial distinction between space as “form of intuition” and space as “formal intuition.” The traditional interpretation regards the distinction between the two notions as reflecting a distinction between indeterminate space and determinations of space by the understanding, respectively. By contrast, a recent influential reading has argued that the two notions can be fused into (...) one and that space as such is first generated by the understanding through an act of synthesis of the imagination. Against this reading, this article argues that a key characteristic of space as a form of intuition is its nonconceptual unity, which defines the properties of space and is as such necessarily independent of determination by the understanding through the transcendental synthesis of the imagination. The conceptual unity that the understanding prescribes to the manifold in intuition, by means of the categories, defines the formal intuition. Furthermore, this article argues that it is the sui generis, nonconceptual unity of space, when takenas a unity for the understanding by means of conceptual determination, that first enables geometric knowledge and knowledge of spatially located particulars. (shrink)

"Kant and the Capacity to Judge" will prove to be an important and influential event in Kant studies and in philosophy.

I argue that Kant’s distinction between the cognitive roles of sensibility and understanding raises a question concerning the conditions necessary for objective representation. I distinguish two opposing interpretive positions—viz. Intellectualism and Sensibilism. According to Intellectualism all objective representation depends, at least in part, on the unifying synthetic activity of the mind. In contrast, Sensibilism argues that at least some forms of objective representation, specifically intuitions, do not require synthesis. I argue that there are deep reasons for thinking that Intellectualism is (...) incompatible with Kant's view as expressed in the Transcendental Aesthetic. We can better see how Kant’s arguments in the first Critique may be integrated, I suggest, by examining his notion of the 'unity' [Einheit] of a representation. I articulate two distinct ways in which a representation may possess unity and claim that we can use these notions to integrate Kant’s arguments in the Aesthetic and the Transcendental Deduction without compromising the core claims of either Sensibilism or Intellectualism—that intuition is a form of objective representation independent of synthesis, and that the kind of objective representations that ground scientific knowledge of the world require synthesis by the categories. (shrink)

In his lectures on general logic Kant maintains that the generality of a representation (the form of a concept) arises from the logical acts of comparison, reflection and abstraction. These acts are commonly understood to be identical with the acts that generate reflected schemata. I argue that this is mistaken, and that the generality of concepts, as products of the understanding, should be distinguished from the classificatory generality of schemata, which are products of the imagination. A Kantian concept does not (...) provide mere criteria for noting sameness and difference in things, but instead reflects the inner nature of things. Its form consists in the self-consciousness of a capacity to judge (i.e. the Concept is the ‘I think’). (shrink)

Abstract Both parties in the active philosophical debate concerning the conceptual character of perception trace their roots back to Kant's account of sensible intuition in the Critique of Pure Reason. This striking fact can be attributed to Kant's tendency both to assert and to deny the involvement of our conceptual capacities in sensible intuition. He appears to waver between these two positions in different passages, and can thus seem thoroughly confused on this issue. But this is not, in fact, the (...) case, for, as I will argue, the appearance of contradiction in his account stems from the failure of some commentators to pay sufficient attention to Kant's developmental approach to philosophy. Although he begins by asserting the independence of intuition, Kant proceeds from this nonconceptualist starting point to reveal a deeper connection between intuitions and concepts. On this reading, Kant's seemingly conflicting claims are actually the result of a careful and deliberate strategy for gradually convincing his readers of the conceptual nature of perception. (shrink)

By taking into account some texts published between the first and the second edition of the Critique of Pure Reason that have been neglected by most of those who have dealt with the deduction of the categories, I argue that the core of the deduction is to be identified as the ‘almost single inference from the precisely determined definition of a judgment in general’, which Kant adumbrates in the Metaphysical Foundations in order to ‘make up for the deficiency’ of the (...) A-deduction. Whereas the first step of the B-deduction is an attempt to show that the manifold of an intuition belongs to the ‘necessary unity of self-consciousness’ by means of the synthesis of the understanding, the second step has the task of showing that the very same synthesis is responsible for the spatio-temporal unity of the manifold. Thus, Kant's ‘answer to Hume’ is that no spatio-temporal objects of experience at all are merely ‘given’, independently of the conceptual activities of the understanding. Against the established view I substantiate the claim that with this ‘almost single inference’ of the second proof step the distinction between judgments of perception and judgments of experience consequently vanished from Kant's thinking. (shrink)

James Van Cleve has argued that Kant’s Transcendental Deduction of the categories shows, at most, that we must apply the categories to experience. And this falls short of Kant’s aim, which is to show that they must so apply. In this discussion I argue that once we have noted the differences between the first and second editions of the Deduction, this objection is less telling. But Van Cleve’s objection can help illuminate the structure of the B Deduction, and it suggests (...) an interesting reason why the rewriting might have been thought necessary. (shrink)

Abstract: Philosophers interested in Kant's relevance to contemporary debates over the nature of mental content—notably Robert Hanna and Lucy Allais—have argued that Kant ought to be credited with being the original proponent of the existence of ‘nonconceptual content’. However, I think the ‘nonconceptualist’ interpretations that Hanna and Allais give do not show that Kant allowed for nonconceptual content as they construe it. I argue, on the basis of an analysis of certain sections of the A and B editions of the (...) Transcendental Deduction, for a ‘conceptualist’ reading of Kant's Critique of Pure Reason. My contention is that since Kant's notion of empirical intuition makes essential reference to the categories, it must be true for him that no empirical intuition can be given in sensibility independently of the understanding and its categories. (shrink)

:Space is not an empirical concept that has been drawn from outer experiences. For in order for certain sensations to be related to something outside me , thus in order for me to represent them as outside and next to one another, thus not merely different but as in different places, the representation of space must already be their ground. Thus the representation of space cannot be obtained from the relations of outer appearance through experience, but this outer experience is (...) itself first possible only through this representation. 1Abstract:Der Raum is kein empirischer Begriff, der von äußeren Erfahrungen abgezogen worden. Denn damit gewisse Empfindungen auf etwas außer mir bezogen werden, imgleichen damit ich sie als außer und neben einander, mithin nicht bloß verschieden, sondern als in verschiedenen Orten vorstellen können, dazu muß die Vorstellung des Raumes schon zum Grunde liegen. (shrink)

I defend Kant’s definition of analyticity in terms of concept “containment”, which has engendered widespread scepticism. Kant deployed a clear, technical notion of containment based on ideas standard within traditional logic, notably genus/species hierarchies formed via logical division. Kant’s analytic/synthetic distinction thereby undermines the logico-metaphysical system of Christian Wolff, showing that the Wolffian paradigm lacks the expressive power even to represent essential knowledge, including elementary mathematics, and so cannot provide an adequate system of philosophy. The results clarify the extent to (...) which analyticity sensu Kant can illuminate the problem of a priori knowledge generally. (shrink)

This paper contains a critical analysis of the interpretation of Kant's second edition version of the Transcendental Deduction offered by Béatrice Longuenesse in her recent book: Kant and the Capacity to Judge. Though agreeing with much of Longuenesse's analysis of the logical function of judgment, I question the way in which she tends to assign them the objectifying role traditionally given to the categories. More particularly, by way of defending my own interpretation of the Deduction against some of her criticisms, (...) I argue that Longuenesse fails to show how either part of the two-part proof may be plausibly thought to have established the necessity of the categories (as opposed to the logical functions). Finally, I question certain aspects of her 'radical' interpretation of the famous footnote at B160-1, where Kant distinguishes between 'form of intuition' and 'formal intuition'. (shrink)

This book presents a paragraph-by-paragraph analysis of all of the major arguments and explanations in the "aesthetic" of Kant's Critique of Pure Reason. The first part of the book aims to provide a clear analysis of the meanings of the terms Kant uses to name faculties and types of representation, the second offers a thorough account of the reasoning behind the "metaphysical" and "transcendental" expositions, and the third investigates the basis for Kant's major conclusions about space, time, appearances, things in (...) themselves, and the cognitive constitution of the subject. A major goal of the work is to establish that Kant takes spatiotemporal form to be originally given through the constitution of the subject's receptive faculty, not generated through synthetic procedures of the imagination or understanding. (shrink)

I use recent work on Kant and diagrammatic reasoning to develop a reconsideration of central aspects of Kant’s philosophy of geometry and its relation to spatial intuition. In particular, I reconsider in this light the relations between geometrical concepts and their schemata, and the relationship between pure and empirical intuition. I argue that diagrammatic interpretations of Kant’s theory of geometrical intuition can, at best, capture only part of what Kant’s conception involves and that, for example, they cannot explain why Kant (...) takes geometrical constructions in the style of Euclid to provide us with an a priori framework for physical space. I attempt, along the way, to shed new light on the relationship between Kant’s theory of space and the debate between Newton and Leibniz to which he was reacting, and also on the role of geometry and spatial intuition in the transcendental deduction of the categories. (shrink)

Hence, there is still controversy over which of the two versions of the deduction deserves priority and whether indeed any distinction between them can be maintained that would go beyond questions of presentation and involve the structure of the proof itself. Schopenhauer and Heidegger held that the first edition alone fully expresses Kant's unique philosophy, while Kant himself, as well as many other Kantians, have only seen a difference in the method of presentation.

In the Transcendental Aesthetic, Kant famously characterizes space as a unity, understood as an essentially singular whole. He further develops his account of the unity of space in the B-Deduction, where he relates the unity of space to the original synthetic unity of apperception, and draws an infamous distinction between form of intuition and formal intuition. Kant ’s cryptic remarks in this part of the Critique have given rise to two widespread and diametrically opposed readings, which I call the Synthesis (...) and Brute Given Readings. I argue for an entirely new reading, which I call the Part-Whole Reading, in part by considering the development of Kant ’s views on the unity of space from his earliest works up through crucial reflections written during the silent decade. (shrink)

I criticize recent nonconceptualist readings of Kant’s account of perception on the grounds that the strategy of the Deduction requires that understanding be involved in the synthesis of imagination responsible for the intentionality of perceptual experience. I offer an interpretation of the role of understanding in perceptual experience as the consciousness of normativity in the association of one’s representations. This leads to a reading of Kant which is conceptualist, but in a way which accommodates considerations favoring nonconceptualism, in particular the (...) primitive character of perceptual experience relative to thought and judgment. (shrink)

The central thesis is that Kant's account of possible experience is actually an extension and development of an independent, prior theory of the possibility of perception. Since no school of Kant commentary acknowledges any such strict separation of problematics, its espousal poses the challenge of not simply refuting prevailing views but also defining a new alternative, i.e. a hitherto neglected body of doctrine not part of but premise to Kant's theory of experience. ;To meet this challenge, Kant's theory of the (...) transcendental ideality of space and time is considered. It is argued on the basis of texts drawn from the period of the Critiques that their transcendental ideality signified an imagination origin--not imagination as traditionally conceived, but a productive imagination in virtue of which space and time constitute acquired yet original representation. The second chapter considers Kant's theory of perception as the work of a synthesis of apprehension by imagination. I argue that this too has a formal, originally acquired representational content and so is able to serve as a bridge that links space and time a priori with appearances. I attempt also to place the Kantian theory of perception in context by relating it to the Humean, for the former turns out to be able to resolve a quandary which stymied Hume. Finally, I maintain that the Kant's theory of the mind's faculties, far from being in violation of his own claim that things in themselves are unknowable, is actually to be understood as an idea, or model, not intended to be regarded as something existing in itself. (shrink)