Recent work on Kant’s conception of space has largely put to rest the view that Kant is hostile to actual infinity. Far from limiting our cognition to quantities that are finite or merely potentially infinite, Kant characterizes the ground of all spatial representation as an actually infinite magnitude. I advance this reevaluation a step further by arguing that Kant judges some actual infinities to be greater than others: he claims, for instance, that an infinity of miles is strictly smaller than (...) an infinity of earth-diameters. This inequality follows from Kant’s mereological conception of magnitudes (quanta): the part is (analytically) less than the whole, and an infinity of miles is equal to only a part of an infinity of earth-diameters. This inequality does not, however, imply that Kant’s infinities have transfinite and unequal sizes (quantitates). Because Kant’s conception of size (quantitas) is based on the Eudoxian theory of proportions, infinite magnitudes (quanta) cannot be assigned exact sizes. Infinite magnitudes are immeasurable, but some are greater than others. (shrink)

In the Critique of Pure Reason Kant appears to make incompatible claims regarding the unitary natures of what he takes to be our a priori representations of space and time. I argue that these representations are unitary independently of all synthesis and explain how this avoids problems encountered by other positions regarding the Transcendental Deduction and its relation to the Transcendental Aesthetic in that work. Central is the claim that these representations (1) contain, when characterized as intuitions and considered as (...) prior to any affections of sensibility, only an infinitude of merely possible finite spatial and temporal representations, and (2) are representations that are merely transcendental grounds for the possibilities for receiving or generating finite representations in sensibility that are determined (immediately, in the case of reception) by means of syntheses that accord with the categories. (shrink)

The article proposes an interpretation of Kant’s notions of form of, and formal intuition of space to explain and justify the claim that representing space as object requires a synthesis. This involves identifying the transcendental conditions of the analytic unity of consciousness of this formal intuition and distinguishing between it and its content. On this reading which builds upon recent proposals, footnote B160–1n. involves no revision of the Transcendental Aesthetic: space is essentially characterized by non-conceptual features. The article also addresses (...) worries about the infinite magnitude and the unicity of space, by considering the characteristics and requirements of geometric constructions. (shrink)

There is no consensus concerning how to understand the ‘two-step proof structure’ (§§15–20, 21–7) of the Transcendental Deduction in the B-edition of the Critique of Pure Reason. This disagreement invites a closer examination of what Kant might have meant by a ‘transcendental deduction’. I argue that the transcendental deduction consists of three tasks that parallel Kant’s broader project of a ‘critique’ of pure reason; first, an origin task to justify reason’s authority to use them; second, an analytical task that determines (...) the conditions under which this authority can be legitimately exercised; and third, a dialectical task to determine the conditions under which this authority cannot be legitimately exercised. So long as we continue to read the B-Deduction solely in terms of its two-step proof structure, we overlook how Kant’s notion of ‘critique’ constitutes the real grounds for his argumentative strategy there. (shrink)

Kant holds that some nonhuman animals “are acquainted with” objects, despite lacking conceptual capacities. What does this tell us about his theory of human cognition? Numerous authors have argued that this is a significant point in favour of Nonconceptualism—the claim that, for Kant, sensible representations of objects do not depend on the understanding. Against this, I argue that Kant’s views about animal minds can readily be accommodated by a certain kind of Conceptualism. It remains viable to think that, for Kant, (...) humans’ sensible representations necessarily represent objects as temporally structured in ways that allow us to have thoughts about them, and such representations are produced, and could only be produced, by the understanding. This allows Conceptualists to maintain that humans’ sensible representations depend on the understanding, while accepting that animals have sensible representations of objects too. We must, therefore, reassess both the warrant for Nonconceptualism and the shape Conceptualist readings must take. (shrink)

Famously, Kant describes space and time as infinite “given” magnitudes. An influential interpretative tradition reads this as a claim about phenomenological presence to the mind: in claiming that space and time are given, this reading holds, Kant means to claim that we have phenomenological access to space and time in our original intuitions of them. In this paper, I argue that we should instead understand givenness as a metaphysical notion. For Kant, space and time are ‘given’ in virtue of three (...) related facts: (i) they are necessary grounds of the existence of all other spatial and temporal possibilities; (ii) in virtue of being such grounds, they are metaphysically linked to all other represented spatiotemporal things; and (iii) as representations, space and time issue from the nature of our faculty of sensibility rather than from an arbitrary act of choice. Understanding givenness in this non-epistemological way helps us recover what is plausible in both ‘intellectualist’ and ‘anti-intellectualist’ readings of the Transcendental Aesthetic. Anti-intellectualists are correct that space and time are given in mere sensibility, but intellectualists are correct that we depend on the understanding for consciousness of space and time. (shrink)

This work examines Kant’s remarkable decision to rewrite the core argument of the first Critique, the Transcendental Deduction of the Categories. I identify a two-part structure common to both versions: first establishing an essential role for the categories in unifying sensible intuitions; and then addressing a worry about how the connection between our faculties asserted in the first part is possible. I employ this structure to show how Kant rewrote the argument, focusing on Kant’s response to the concerns raised in (...) an early review by Johann Schultz. Schultz’s dissatisfaction with the original Deduction lies in its second part, and Kant’s subsequent revisions are focused on providing a better answer to this how-possible question. The new Deduction offers a more direct and convincing account of how our faculties work together to make experience possible. (shrink)

Overview of the (non)conceptualism debate in Kant studies.

This essay presents a critique of what Robert Hanna has recently called the ‘sensibility first’ reading of Kant. I first spell out, in agreement with Hanna, why the contemporary debate among Kant scholars over conceptualism and non-conceptualism must be understood only from within the perspective of what I dub the ‘priority question’—that is, the question whether one or the other of our “two stems” of cognition may ground the objectivity and normativity of the other. I then spell out why the (...) priority question may be asked only from within the perspective of self-consciousness. Specifically, the central issue to be dealt with is how what Kant calls the original combination of understanding and sensibility is a synthesis internal to an act of self-consciousness. Only then can we ask what that original synthesis might tell us about the possibility of prioritizing one capacity over another in a story of cognition generally. Once we see the central issue more clearly, then I will look at the ‘sensibility first’ view in its most general form and propose that it should be criticized for its failure to account for Kant’s notion of an objective unity of self-consciousness. (shrink)