Kant: Transcendental Arguments

I claim evolution through natural selection is inconsistent with Kantian epistemology, because there is nothing about humans or 'the mind' which does not vary, so its inappropriate to base universal laws of nature on how the variable mind might generates experience. I also claim that the apparent self sufficient world presented by natural selection is at least suspiciously inconsistent with Hume's views that it is impossible to see how anything could itself (be sufficient to) produce anything.

In this article I offer an opinionated overview of the central elements of Kant’s philosophical methodology during the critical period. I begin with a brief characterization of how Kant conceives of the aims of human inquiry – focusing on the idea that inquiry ideally aims at not just cognition (Erkenntnis), but also the more demanding cognitive achievements that Kant labels insight (Einsehen) and comprehension (Begreifen). Then I explore the implications of this picture for philosophy — emphasizing Kant’s distinction between critical (...) and doctrinal phases of philosophical inquiry, with the first of these playing both a negative and a positive role with respect to the second. Then, I will argue that this positive role is possible, according to Kant, only insofar as philosophy follows what I call a “capacities-first” methodology – that is, one that treats basic cognitive capacities (such as reason) and their self-conscious activities as fundamental (in both a cognitive sense and in an explanatory sense) for the sort of philosophy human beings are capable of. It is this methodology, I will argue, that allows Kant to introduce the first principles that philosophy in its doctrinal phase requires in a manner that is neither arbitrary nor (at least obviously) incompatible with Kant’s own critical restrictions on cognition. I conclude by discussing some of the implications of this methodological picture – including the methodological significance of self-consciousness and regressive or “transcendental” arguments, Kant’s distinction between analytic and synthetic methods in philosophy, and Kant’s conception of reason as autonomous. (shrink)

Can sensibility, as our capacity to be sensibly presented with objects, be understood independently of the understanding, as the capacity to form judgments about those objects? It is a truism that for judgments to be empirical knowledge they must agree with what sensibility presents. Moreover, it is a familiar thought that objectivity involves absolute independence from intellectual acts. The author argues that together these thoughts motivate a common reading of Kant on which operations of sensibility are conceived as intelligible independently (...) of acts of the understanding, so that their supposed objectivity can validate judgments as empirical knowledge. He contends that there are two reasons why this epistemic compositionalism is implausible both as a reading of Kant and in itself. First, read compositionally, Kant’s Transcendental Deduction is unable to fulfill its stated aim of showing that the categories are objectively valid, that is, exemplified by the objects that sensibility presents. Second, Kant sees that sensibility by itself cannot be understood to even purport to present objects, thus undermining the very intelligibility of compositionalism. The author argues that, given these challenges, Kant’s Deduction develops an alternative account, on which operations of sensibility and acts of the understanding can be understood only together. He contends that this epistemic hylomorphism transforms the familiar thought underlying compositionalism: objectivity simultaneously involves formal agreement with intellectual acts in general and material independence from any specific such act. He thus shows how Kant reconceives our conception of objectivity by overcoming compositionalism in favor of hylomorphism. (shrink)

The aim of the Analytic of Concepts is to derive and deduce a set of pure concepts of the understanding, the categories, which play a central role in Kant’s explanation of the possibility of synthetic a priori cognition and judgment. This chapter is structured around two questions. First, what is a pure concept of the understanding? Second, what is involved in a deduction of a pure concept of the understanding? In answering the first, we focus on how the categories differ (...) from the pure forms of sensibility and examine whether they are known only to be the pure forms of human thinking or rather the forms of discursive cognition as such. In answering the second, we draw a distinction between the application and the exemplification of the categories and use it to identify different ways of understanding Kant’s project in the Transcendental Deduction of the Categories. These questions connect because the answer to the first determines how we should understand the kind of entitlement which is to be established in the Deduction. (shrink)

I argue that Kant thought his Transcendental Deduction of the Pure Concepts could reach skeptical empiricists like Hume by providing an overlooked explanation of the mind's a priori relation to the objects of experience. And he thought empiricists may be motivated to listen to this explanation because of an instability and dissatisfaction inherent to empiricism. This article is a précis of my "Kant's Offer to the Skeptical Empiricist" in Journal of the History of Philosophy.

I argue that Kant tries to change the mind of skeptical empiricists like Hume by offering, rather than compelling acceptance of, an alternative conception of our knowledge, and that his offer can appeal because of an instability inherent to the skeptic’s position. This article is a short précis of my "Kant's Offer to the Skeptical Empiricist" in Journal of the History of Philosophy.

talk Oslo-Kant congress. In this paper, I explain why for Kant self-consciousness is intimately related to objectivity, how this intimacy translates to real objects, what it means to make judgements about objects, and what idealism has got to do with all of this.

talk Oslo-Kant congress. In this paper, I explain why for Kant self-consciousness is intimately related to objectivity, how this intimacy translates to real objects, what it means to make judgements about objects, and what idealism has got to do with all of this.

Este artículo examina el concepto del concepto en Kant y en Hegel. El modo de relación entre el principio de la apercepción y el concepto puro permite pensar a la filosofía de la forma transcendental como una metafísica crítica. La conexión sistemática entre las doctrinas del concepto, el juicio y el silogismo posibilita, en cambio, concebir la filosofía de la forma absoluta como una metafísica especulativa. En ambas lógicas el objeto corresponde, en último término, a la totalidad de las determinaciones (...) de aquella unidad suprema que Kant denominó apercepción y Hegel el concepto. (shrink)

Few of Kant’s distinctions have generated as much puzzlement and criticism as the one he draws in the Prolegomena between judgments of experience, which he describes as objectively and universally valid, and judgments of perception, which he says are merely subjectively valid. Yet the distinction between objective and subjective validity is central to Kant’s account of experience and plays a key role in his Transcendental Deduction of the categories. In this paper, I reject a standard interpretation of the distinction, according (...) to which judgments of perception are merely subjectively valid because they are made without sufficient investigation. In its place, I argue that for Kant, judgments of perception are merely subjectively valid because they merely report sequences of perceptions had by a subject without claiming that what is represented by the perceptions is connected in the objects the perceptions are of. Whereas the interpretation I criticize undercuts Kant’s strategy in the Deduction, I argue, my interpretation illuminates it. (shrink)

Kant was never satisfied with the version of his “Refu- tation” published in 1787 (KrV, B 275-279). His dissatisfaction is already evident in the footnote added to the preface of the second edition of the Critique in 1787. As a matter of fact, Kant continued to rework his argument for at least six years after 1787. The main exegetical problem is to figure out who is the target of the “Refutation”: a non-skeptic idealist, a global skeptic of Cartesian provenance or (...) both. In this last case, the related problem is to know whether either of them is the Cartesian skeptic of the first Meditation, the idealist skeptic of the second Meditation and first part of the third Meditation, or some other non-skeptic idealist. I present and defend a new reconstruction of Kant’s “Refu- tation” as a successful argument against Mendelssohnian idealism of Cartesian provenance. This defense is based on a simple logical sketch of the proof provided by Dicker but essentially modified in light of Dyck’s insight about Kant’s opponent. How shall I support my reading? First, by appealing to overwhelming textual evidence according to which the proof is of the existence of mind-independent things, showing that Kant’s main opponent is Mendelssohn’s idealism of Cartesian provenance. Finally, I support my reading by showing that Kant’s “Refutation” is doomed to fail against all forms of global skepticism but is quite successful against Mendelssohn’s idealism. (shrink)

Fichte argues that the conclusion of Kant’s transcendental deduction of the categories is correct yet lacks a crucial premise, given Kant’s admission that the metaphysical deduction locates an arbitrary origin for the categories. Fichte provides the missing premise by employing a new method: a genetic deduction of the categories from a first principle. Since Fichte claims to articulate the same view as Kant in a different, it is crucial to grasp genetic deduction in relation to the sorts of deduction that (...) Kant offers. I propose to interpret genetic deduction as the simultaneous fulfillment of two tasks: answering the question quid facti by deriving the categories from the I and answering the question quid juris by establishing our entitlement to the categories as conditions of experience. While the second task represents Fichte’s agreement with Kant’s transcendental deduction, the first reflects his correction of Kant’s metaphysical deduction. (shrink)

Chapter 4 of Dennis Schulting’s book Kant’s Radical Subjectivism targets those commentators who take there to be a gap in the transcendental deduction of the categories, arguing instead that there is no gap between the necessary application of the categories and their exemplification in the object of experience. In these comments on the chapter, I suggest a minimal sense in which the fact that there is a gap is non-negotiable. The interesting question is not whether there is a gap which (...) needs to be bridged, but how and why Kant makes the step from subjectivity to objectivity. (shrink)

This is a report of the international workshop «Transcendental Turn in Contemporary Philosophy 2: Kant’s Appearance, Its Ontological and Epistemic Status» (April 27—29, 2017, Moscow), the tasks of which was (1) to discuss the specificity of transcendental idealism, (2) to study the nature of one of Kant’s important concepts — that of appearance — within the framework of the essential conceptual triad of transcendentalism: thing in itself (Ding an sich) — appearance (Erscheinung) — representation (Vorstellung), (3) to analyse the distinction (...) between Kant’s concepts of appearance and phenomenon, and (4) to examine the concepts of appearance and phenomenon in relation to Husserl’s transcendental phenomenology. (shrink)

In this chapter I advance a moderately conceptualist interpretation of Kant’s account of the threefold synthesis in the A-Deduction. Often the first version of TD, the A-Deduction, is thought to be less conceptualist than the later B-version from 1787 (e.g. Heidegger 1991, 1995). Certainly, it seems that in the B-Deduction Kant puts more emphasis on the role of the understanding in determining the manifold of representations in intuition than he does in the A-Deduction. It also appears that in the A-Deduction (...) the seemingly pre-conceptual aspects of a priori synthesis, namely those of the synthesis of apprehension and the imagination, are more prominently featured than in the B-Deduction. And the fact that in the A-Deduction judgement does not appear to play any significant role reinforces the view that the A-Deduction is less strongly conceptualist. I believe that Kant is a conceptualist also in the A-Deduction (as much as in the B-Deduction) in the sense that all syntheses, which are expounded in the second section of the A-Deduction, must be seen as involving the categories or the understanding as the seat of the categories. However, despite some apparent strong modal claims regarding apperception in the A-Deduction, I argue that Kant is a moderate conceptualist in the sense that he allows for the real possibility that some representations are apprehended that are not subsumed or subsumable under the categories, or determined or determinable by the understanding as the seat of the categories. Not all representations must be synthesised and hence be conceptualised (by means of the categories), nor are all representations necessarily conceptualisable (by means of the categories). Often it is argued that the application of the categories must be seen as separate from or prior to conceptualisation (that is, employment of concepts in a judgement), so that the categories must be considered to apply to representations at least to the extent that the productive imagination or recognitive synthesis is involved, even if no empirical concepts are applied in an actual judgement. But it is difficult to see how categories can apply outside the context of an actual judgement in which ipso facto empirical concepts are employed, because, after all, categories are nothing but logical functions of judgement (e.g. B143). More in particular, I shall argue for the claims that (1) appearances to the contrary, all three levels of syntheses in the A-Deduction, including the synthesis of recognition, are interdependent and are not to be seen as operating singly or independently of each other, and hence of the categories; (2) ‘mere’ apprehension, or ‘mere’ intuition, is not dependent on the understanding and the application or possible application of the categories; and that (3) ‘mere’ apprehension does not even invoke a priori synthesis of apprehension and hence is as such fully lawless in terms of Kantian a priori laws. In this context, I also address Kant’s argument in the A-Deduction about the role of the imagination in the production of spatial objects and explain his apt use of the example of cinnabar to show that the kind of association that is at issue here concerns the possibility of knowledge, not the possibility of mere association, as is often assumed. (shrink)

In this paper, I discuss the debate on Kant and nonconceptual content. Inspired by Kant’s account of the intimate relation between intuition and concepts, McDowell (1996) has forcefully argued that the relation between sensible content and concepts is such that sensible content does not severally contribute to cognition but always only in conjunction with concepts. This view is known as conceptualism. Recently, Kantians Robert Hanna and Lucy Allais, among others, have brought against this view the charge that it neglects the (...) possibility of the existence of essentially nonconceptual content that is not conceptualised or subject to conceptualisation. Their critique of McDowell amounts to nonconceptualism. However, both views, conceptualist and nonconceptualist, share the assumption that intuition is synthesised content in Kant’s sense. My interest is not in the validity of the philosophical positions of conceptualism or nonconceptualism per se. I am particularly interested in the extent to which the views that McDowell and Hanna and Allais respectively advance are true to Kant, or can validly be seen as Kantian positions. I argue that although McDowell is right that intuition is only epistemically relevant in conjunction with concepts, Hanna and Allais are right with regard to the existence of essentially nonconceptual content (intuitions) independently of the functions of the understanding, but that they are wrong with regard to non-conceptualised intuition being synthesised content in Kant’s sense. Kantian conceptualists (Bowman 2011; Griffith 2012; Gomes 2014) have responded to the recent nonconceptualist offensive, with reference to A89ff./B122ff. (§13)—which, confusingly, the nonconceptualists also cite as evidence for their contrary reading—by arguing that the nonconceptualist view conflicts with the central goal of the Transcendental Deduction, namely, to argue that all intuitions are subject to the categories. I contend that the conceptualist reading of A89ff./B122ff. is unfounded, but also that the nonconceptualists are wrong to believe that intuitions as such refer strictly to objects independently of the functions of the understanding, and that they are mistaken about the relation between figurative synthesis and intellectual synthesis. I argue that Kant is a conceptualist, albeit not in the sense that standard conceptualists assume. Perceptual knowledge is always judgemental, though without this resulting in the standard conceptualist claim that, necessarily, all intuitions or all perceptions per se stand under the categories (strong conceptualism). I endorse the nonconceptualist view that, for Kant, perception per se, i.e. any mere or ‘blind’ intuition of objects (i.e. objects as indeterminate appearances) short of perceptual knowledge, does not necessarily stand under the categories. Perception is not yet perceptual knowledge. In this context, I point out the common failure in the literature on the Transcendental Deduction, both of the conceptualist and nonconceptualist stripe, to take account of the modal nature of Kant’s argument for the relation between intuition and concept insofar as cognition should arise from it. (shrink)

Call the idea that states of perceptual awareness have intentional content, and in virtue of that aim at or represent ways the world might be, the ‘Content View.’ I argue that though Kant is widely interpreted as endorsing the Content View there are significant problems for any such interpretation. I further argue that given the problems associated with attributing the Content View to Kant, interpreters should instead consider him as endorsing a form of acquaintance theory. Though perceptual acquaintance is controversial (...) in itself and in attribution to Kant, it promises to make sense of central claims within his critical philosophy. (shrink)

I argue that Kant’s primary epistemological concern in the Critique of Pure Reason’s transcendental deduction is empirical cognition. I show how empirical cognition is best understood as “rational sensory discrimination”: the capacity to discriminate sensory objects through the use of concepts and with a sensitivity to the normativity of reasons. My dissertation focuses on Kant’s starting assumption of the transcendental deduction, which I argue to be the thesis that we have empirical cognition. I then show how Kant’s own subjective deduction (...) fleshes out his conception of empirical cognition and is intertwined with key steps in the transcendental deduction’s arguments that the categories have objective validity and that we have synthetic a priori cognition. (shrink)

This chapter explores Kant’s, Reinhold’s, Fichte’s, and Hegel’s stances toward transcendental philosophy and transcendental arguments. Having explained the new meaning that Kant assigned to the term ‘transcendental’, the chapter surveys his attempt to develop a transcendental philosophy by employing transcendental arguments. Since these arguments presuppose unproven matters of fact, authors who were deeply concerned by scepticism deemed them unsuitable for the task. The chapter explains how Reinhold and Fichte sought to establish solid foundations for transcendental philosophy without relying on transcendental (...) arguments. The final section of the chapter discusses whether Hegel, who rejected transcendental philosophy, employed transcendental arguments. (shrink)

Kant's notion of ‘discipline’ has received considerable attention from scholars of his philosophy of education, but its role in his theoretical philosophy has been largely ignored. This omission is surprising since his discussion of discipline in the first Critique is not only more extensive and expansive in scope than his other discussions but also predates them. The goal of this essay is to provide a comprehensive reading of the Discipline that emphasizes its systematic importance in the first Critique. I argue (...) that its goal is to establish a set of rules for the use of pure reason that, if followed, will mitigate and perhaps even eliminate our tendency to make judgments about supersensible objects. Since Kant's justification for these rules relies crucially on claims he has defended in the Doctrine of Elements, I argue further that, far from being a dispensable part of the Critique as commentators have tended to claim, the Discipline is, in fact, the culmination of Kant's critique of metaphysics. (shrink)

Malone Dies marks the point where Samuel Beckett foremost turns to “metaphysical destruction” of “untrue self,” and Derrida’s critique of the notion of “self-presence” of the subject. In this article, I examine Beckett’s literary absurdities to his readers’ concerns of “abuse” through them. For this investigation Malone Dies posits a stream of conflicting “linguistic nihilism” to the concerns of deconstructing “untrue self,” arguably, which will reflect how abuse of Beckettian readers is stimulated. In this context, abuse is specific forms of (...) emotional tensions aroused by the readers encounter with the Beckettian intersubjectivity. In particular, the existential model of abuse will be analysed as a part of beyond “self-deconstruction” autonomy. (shrink)

:Recently, Allais, Hanna and others have argued that Kant is a nonconceptualist about intuition and that intuitions refer objectively, independently of the functions of the understanding. Kantian conceptualists have responded, which the nonconceptualists also cite as textual evidence for their reading) that this view conflicts with the central goal of Kant’s Transcendental Deduction: to argue that all intuitions are subject to the categories. I argue that the conceptualist reading of KrV, A 89 ff./B 122 ff. is unfounded. Further, I argue (...) that the nonconceptualists are wrong to believe that intuitions as such refer objectively and that they are mistaken about the relation between figurative synthesis and intellectual synthesis. (shrink)

This is an article-length summary of the argument in my book, Kant's Organicism: Epigenesis and the Development of Critical Philosophy (University of Chicago Press, 2013; 2015).

This paper assesses the role of the Refutation of Idealism within the Critique of Pure Reason, as well as its relation to the treatment of idealism in the First Edition and to transcendental idealism more generally. It is argued that the Refutation is consistent with the Fourth Paralogism and that it can be considered as an extension of the Transcendental Deduction. While the Deduction, considered on its own, constitutes a 'regressive argument', the Refutation allows us to turn the Transcendental Analytic (...) into a 'progressive argument' that proceeds by the synthetic method. (shrink)

Abstract: My aim is to reconstruct Kant's argument for the principle of the synthetic unity of apperception. I reconstruct Kant's argument in stages, first showing why thinking should be conceived as an activity of synthesis (as opposed to attention), and then showing why the unity or coherence of a subject's representations should depend upon an a priori synthesis. The guiding thread of my account is Kant's conception of enlightenment: as I suggest, the philosophy of mind advanced in the Deduction belongs (...) to an enlightenment epistemology. Kant's conception of enlightenment turns on the requirement that a subject be able to recognize herself as the source of her cognitions. The argument for the apperception principle is reconstructed under the guidance of this conception of the ideal of enlightenment. (shrink)

review of Scott Stapleford's 'Kant's Transcendental Arguments: Disciplining Pure Reason'.

In the transcendental deduction, the central argument of the Critique of Pure Reason, Kant seeks to secure the objective validity of our basic categories of thought. He distinguishes objective and subjective sides of this argument. The latter side, the subjective deduction, is normally understood as an investigation of our cognitive faculties. It is identified with Kant’s account of a threefold synthesis involved in our cognition of objects of experience, and it is said to precede and ground Kant’s proof of the (...) validity of the categories in the objective deduction. I challenge this standard reading of the subjective deduction, arguing, first, that there is little textual evidence for it, and, second, that it encourages a problematic conception of how the deduction works. In its place, I present a new reading of the subjective deduction. Rather than being a broad investigation of our cognitive faculties, it should be seen as addressing a specific worry that arises in the course of the objective deduction. The latter establishes the need for a necessary connection between our capacities for thinking and being given objects, but Kant acknowledges that his readers might struggle to comprehend how these seemingly independent capacities are coordinated. Even worse, they might well believe that in asserting this necessary connection, Kant’s position amounts to an implausible subjective idealism. The subjective deduction ismeant to allay these concerns by showing that they rest on a misunderstanding of the relation between these faculties. This new reading of the subjective deduction offers a better fit with Kant’s text. It also has broader implications, for it reveals the more philosophically plausible account of our relation to the world as thinkers that Kant is defending – an account that is largely obscured by the standard reading of the subjective deduction. (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)

I take up Kant's remarks about a " transcendental deduction" of the "concepts of space and time". I argue for the need to make a clearer assessment of the philosophical resources of the Aesthetic in order to account for this transcendental deduction. Special attention needs to be given to the fact that the central task of the Aesthetic is simply the "exposition" of these concepts. The Metaphysical Exposition reflects upon facts about our usage to reveal our commitment to the idea (...) that these concepts refer to pure intuitions. But the legitimacy of these concepts still hangs in the balance: these concepts may turn out to refer to nothing real at all. The subsequent Transcendental Exposition addresses this issue. The objective validity of the concepts of space and time, and hence their transcendental deduction, hinges on careful treatment of this last point. (shrink)

Existing interpretations of Kant’s appeal to the spontaneity of the mind focus almost exclusively on the discussion of pure apperception in the Transcendental Deduction. The risk of such a strategy lies in the considerable degree of abstraction at which the argument of the Deduction is carried out: existing interpretations fail to reconnect adequately with any ground-level perspective on our cognitive lives. This paper works in the opposite direction. Drawing on Kant’s suggestion that the most basic picture we can have of (...) our cognitive capacity already makes reference to its state of excellence, or health (“sound understanding”), I set out by assembling Kant’s normative ground-level view of our cognitive lives, and then search for the fundamental condition of its possibility. This leads me to Kant’s conception of reflection as a normative requirement of judgment. Through examination of Kant’s remarks on reflection, I connect Kant’s preoccupation with the enlightenment ideal of originality (thinking for oneself) with his central appeal to the spontaneity of the mind. (shrink)

Dieter Henrich’s reconstruction of the transcendental deduction in "Identität und Objektivität" has been criticised (probably unfairly) by Guyer and others for assuming that we have a priori Cartesian certainty about our own continuing existence through time. In his later article "The Identity of the Subject in the Transcendental Deduction", Henrich addresses this criticism and proposes a new, again entirely original argument for a reconstruction. I attempt to elucidate this argument with reference to Evans’s theory of the Generality Constraint and a (...) remark of Strawson’s in Individuals. Its logical form of a sentence-operator requires that the "I think" be capable of accompanying every thought that we can form. Henrich seems to rely on this point, claiming in addition that we must be aware of this property of the "I think". I object that we cannot assume everyone to be capable of doing the philosophy of her own situation. (shrink)

A review of Georges Dicker's primer on Kant's theoretical philosophy. -/- .

Kant maintains that his Critique of Pure Reason follows a “synthetic method” which he distinguishes from the analytic method of the Prolegomena by saying that the Critique “rests on no other science” and “takes nothing as given except reason itself”. The paper presents an account of the synthetic method of the Critique, showing how it is related to Kant’s conception of the Critique as the “science of an a priori judging reason”. Moreover, the author suggests, understanding its synthetic method sheds (...) light on the structure of the Transcendental Deduction, and its function in the work as a whole. (shrink)

This essay partly builds on and partly criticizes a striking idea of Dieter Henrich. Henrich argues that Kant's distinction in the first Critique between the question of fact (quid facti) and the question of law (quid juris) provides clues to the argumentative structure of a philosophical "Deduction". Henrich suggests that the unity of apperception plays a role analogous to a legal factum. By contrast, I argue, first, that the question of fact in the first Critique is settled by the Metaphysical (...) Deduction, which establishes the purity of origin of the Categories, and, second, that in the second Critique, the relevant factum is the Fact of Reason, which amounts to the fact that the Moral Law is pure in origin. (shrink)

El Naturalismo Trascendental del Ultimo Wittgenstein The present article considers an internal tension in Wittgenstein's late philosophy. In what I call his 'naturalism', Wittgenstein circumscribes philosophical reflection to natural objects, to «making natural history». In his 'transcendentalism' he focuses on the «possibility of phenomena» and distinguishes philosophical method from the method of the natural sciences. I show that his 'transcendentalism' is present in his discussion of rules and prívate language, arguing for an interpretation in terms of a kantian type of (...) transcendental synthesis. But far from contradicting his 'naturalism', both tendencies are inseparable and essential to the main purpose of his Philosophical Investigations. (shrink)

In this article we provide a mathematical model of Kant?s temporal continuum that satisfies the (not obviously consistent) synthetic a priori principles for time that Kant lists in the Critique of pure Reason (CPR), the Metaphysical Foundations of Natural Science (MFNS), the Opus Postumum and the notes and frag- ments published after his death. The continuum so obtained has some affinities with the Brouwerian continuum, but it also has ‘infinitesimal intervals’ consisting of nilpotent infinitesimals, which capture Kant’s theory of rest (...) and motion in MFNS. While constructing the model, we establish a concordance between the informal notions of Kant?s theory of the temporal continuum, and formal correlates to these notions in the mathematical theory. Our mathematical reconstruction of Kant?s theory of time allows us to understand what ?faculties and functions? must be in place for time to satisfy all the synthetic a priori principles for time mentioned. We have presented here a mathematically precise account of Kant?s transcendental argument for time in the CPR and of the rela- tion between the categories, the synthetic a priori principles for time, and the unity of apperception; the most precise account of this relation to date. We focus our exposition on a mathematical analysis of Kant’s informal terminology, but for reasons of space, most theorems are explained but not formally proven; formal proofs are available in (Pinosio, 2017). The analysis presented in this paper is related to the more general project of developing a formalization of Kant’s critical philosophy (Achourioti & van Lambalgen, 2011). A formal approach can shed light on the most controversial concepts of Kant’s theoretical philosophy, and is a valuable exegetical tool in its own right. However, we wish to make clear that mathematical formalization cannot displace traditional exegetical methods, but that it is rather an exegetical tool in its own right, which works best when it is coupled with a keen awareness of the subtleties involved in understanding the philosophical issues at hand. In this case, a virtuous ?hermeneutic circle? between mathematical formalization and philosophical discourse arises. (shrink)