The Rise of the Machines: Deleuze's Flight from Structuralism

In this paper, I offer an account of the conceptual shift that occurs between the work completed by Gilles Deleuze prior to 1969 and his later work with Félix Guattari, beginning in 1972 with Anti‐Oedipus. Against previous interpretations, which have concentrated on the developments initiated by Deleuze, I argue for the primary importance of Guattari's influence, especially his insistence on a theory of “machinic processes.” The importance of these processes is made manifest in Deleuze and Guattari's move away from theories of structuralism. In order to carry out this task, I offer a close reading of Guattari's essay “Machine and Structure.” This essay was first written as a review of Deleuze's acclaimed work in Difference and Repetition and Logic of Sense and formed the basis for Deleuze and Guattari's first meeting. In the concluding sections of the paper, I show how the integration of the concept of the machine allows Deleuze and Guattari to develop a theory of the unconscious that operates outside of the boundaries traditionally set by structuralist analysis.     

German Idealism and the Concept of Punishment

This paper examines the Leibnizian background to Kant's critique of the ontological argument. I present Kant's claim that existence is not a real predicate, already formulated in his pre-critical essay of 1673, as a generalization of Leibniz's reasoning regarding the existence of created things. The first section studies Leibniz's equivocations on the notion of existence and shows that he employs two distinct notions of existence – one for God and another for created substances. The second section examines Kant's position in his early paper of 1763. My claim is that Kant's view of existence in 1763, namely that it is not a predicate, is strongly related to the logical notion of possibility, formulated by Leibniz and accepted by Kant.     

Kant's Argument that Existence is not a Determination

In this paper, I examine Kant's famous objection to the ontological argument: existence is not a determination. Previous commentators have not adequately explained what this claim means, how it undermines the ontological argument, or how Kant argues for it. I argue that the claim that existence is not a determination means that it is not possible for there to be non‐existent objects; necessarily, there are only existent objects. I argue further that Kant's target is not merely ontological arguments as such but the larger ‘ontotheist’ metaphysics they presuppose: the view that God necessarily exists in virtue of his essence being contained in, or logically entailed by, his essence. I show that the ontotheist explanation of divine necessity requires the assumption that existence is a determination, and I show that Descartes and Leibniz are implicitly committed to this in their published versions of the ontological argument. I consider the philosophical motivations for the claim that existence is a determination and then I examine Kant's arguments in the Critique of Pure Reason against it.     

Hegel on Space: A Critique of Kant's Transcendental Philosophy

This paper considers Hegel's views on space and his account of Kant's theory of space. I show that Hegel's discussions of space exhibit a deep understanding of Kant's apriority argument in the first Critique , commit him to the central premise of that argument, and separate his concerns from the familiar problem of the neglected alternative. Nevertheless, Hegel makes two objections to Kant's theory of space. First, he argues that the theory is internally inconsistent insofar as Kant's identification of space with an a priori intuition is incompatible with the doctrine of productive imagination in the transcendental deduction of the categories. Second, Hegel argues that the apriority argument is insufficiently critical insofar as it relies upon an unexamined theory of subjectivity as a set of representational capacities. I conclude by outlining Hegel's strategy for undermining the assumptions concerning subjectivity that give form to Kant's transcendental philosophy. Because Hegel's positive views on space depend upon his articulation of an alternate notion of subjectivity, the account of Hegel's position on space offered here remains incomplete. On the other hand, considering Hegel's discussions of space demonstrates both the nature and the importance of his examination of subjectivity in the Phenomenology.     

The Role of Ontology in the Philosophy of Gilles Deleuze

This essay discusses the role of being and ontology in the work of Gilles Deleuze. Starting from an examination of Alain Badiou's ontology and theory of the event, I discuss the possible opposition of being and the event in Deleuze's work. Though famous for his discussions of the univocity of being, Deleuze does discuss the event as that which is not being. Deleuze's theory of the event is similar to that of Badiou in that he considers the event to be extra‐ontological. The essay closes by considering the differences between Deleuze and Badiou on the subject of the event.     

Charting the Road of Inquiry: Deleuze's Humean Pragmatics and the Challenge of Badiou

This essay responds to Badiou's charge that Deleuze fails to set forth a philosophy that is “beyond Gategorical oppositions.” It is argued that this criticism of Deleuze is founded upon a misreading of the Deleuzean distinction between the virtual and the actual, a reading that carries forward Badiou's misreading of Spinoza and, hence, of Deleuze's Spinozism. With this corrected, we show how the virtual‐actual distinction operates within the experimental philosophy, or pragmatics, that Deleuze, and later Deleuze and Guattari, sets forth. It is this pragmatics that is precisely the philosophy of difference that is beyond categorical oppositions. Through a comparison of Deleuzean pragmatics with the work of Hume and Peirce, we are able to respond to Badiou's further criticism that Deleuze's philosophy fails to understand the conditions for creativity in thought and culture. This criticism is itself resolved once one corrects for Badiou's misreading of Deleuze's virtual‐actual distinction.     

Kant on Intentionality,Magnitude, and the Unity of Perception

This paper addresses a number of closely related questions concerning Kant's model of intentionality, and his conceptions of unity and of magnitude [Gröβe]. These questions are important because they shed light on three issues which are central to the Critical system, and which connect directly to the recent analytic literature on perception: the issues are conceptualism, the status of the imagination, and perceptual atomism. In Section 1, I provide a sketch of the exegetical and philosophical problems raised by Kant's views on these issues. I then develop, in Section 2, a detailed analysis of Kant's theory of perception as elaborated in both the Critique of Pure Reason and the Critique of Judgment; I show how this analysis provides a preliminary framework for resolving the difficulties raised in Section 1. In Section 3, I extend my analysis of Kant's position by considering a specific test case: the Axioms of Intuition. I contend that one way to make sense of Kant's argument is by juxtaposing it with Russell's response to Bradley's regress; I focus in particular on the concept of ‘unity’. Finally, I offer, in Section 4, a philosophical assessment of the position attributed to Kant in Sections 2 and 3. I argue that, while Kant's account has significant strengths, a number of key areas remain underdeveloped; I suggest that the phenomenological tradition may be read as attempting to fill precisely those gaps.     

Kant on the Ontological Argument

The article examines Kant's various criticisms of the broadly Cartesian ontological argument as they are developed in the Critique of Pure Reason. It is argued that each of these criticisms is effective against its intended target, and that these targets include—in addition to Descartes himself—Leibniz, Wolff, and Baumgarten. It is argued that Kant's most famous criticism—the charge that being is not a real predicate—is directed exclusively against Leibniz. Kant's argument for this thesis—the argument proceeding from his example of a hundred thalers—although it may seem to beg the question, in fact succeeds against Leibniz. It does so because the charge of begging the question can be rebutted if one makes certain Leibnizian assumptions.     

Demea’s Dilemmas

This paper considers how Descartes's and Hume's sceptical challenges were appropriated by Christian Wolff and Johann Nicolaus Tetens specifically in the context of projects related to Kant's in the transcendental deduction. Wolff introduces Descartes's dream hypothesis as an obstacle to his account of the truth of propositions, or logical truth, which he identifies with the 'possibility' of empirical concepts. Tetens explicitly takes Hume's account of our idea of causality to be a challenge to the `reality' of transcendent concepts in general, a challenge he addresses by locating the source of this concept in the understanding rather than in the imagination. After considering this background, I turn to Kant's deployment of apparently traditional sceptical concerns at the outset of the transcendental deduction and argue that he does not there intend to introduce a global sceptical challenge and, accordingly, that there are historical grounds for doubting that the transcendental deduction is intended as an anti-sceptical argument.     

Emilie du Châtelet on the Existence and Nature of God: An Examination of Her Arguments in Light of Their Sources

Many commentators have suggested that the metaphysical portions of Emilie du Châtelet's Institutions de physique are a mere retelling of Leibniz's views. I argue that a close reading of the text shows that du Châtelet's cosmological argument and discussion of God's nature contains both Lockean and Leibnizian elements. I discuss where she follows Locke in her arguments, what Leibnizian elements she brings in, and how this enables her to avoid some of the mistakes commonly attributed to Locke's formulation of the cosmological argument. I show that while du Châtelet accepts the causal principle ex nihilo nihil fit, she does not utilize Locke's stronger causal principle. I also discuss her use of the principle of sufficient reason in both improving the Lockean cosmological argument and in proving the attributes of God.     

The First Antinomy and Spinoza

Scholars commonly assume that Kant never seriously engaged with Spinoza or Spinozism. However, in his later writings Kant argues several times that Spinozism is the most consistent form of transcendental realism. In the first part of the paper, I argue that the first Antinomy, debating the age and size of the world, already reflects Kant's confrontation with Spinozist metaphysics. Specifically, the position articulated in the Antithesis – according to which the world is infinite and uncreated – is Spinozist, not Leibnizian, as commonly assumed. In the second part of the paper, I raise the chief Spinozist challenge to the Antinomy, arising from Spinoza's reliance on a cosmological `totum analyticum' – an infinite whole which is prior to its parts. In conclusion, I begin to elaborate a defence of the Kantian position, confronting Spinoza's infinite whole with Kant's account of the absolutely infinite in his discussion of the sublime.     

Kant's Fact of Reason as Source of Normativity

In The Sources of Normativity, Christine M. Korsgaard argues that unconditional obligation can be accounted for in terms of practical identity. My argument in this paper is that practical identity cannot play this foundational role. More specifically, I interpret Korsgaard's argument as beginning with something analogous to Kant's fact of reason, viz. with the fact that our minds are reflective. I then try to show that her determination of this fact is inadequate and that this causes the argument concerning practical identity to fail. Finally, I argue that a conception of the fact of reason more in line with what I take to be Kant's own is necessary to account for unconditional obligation.     

Kant’s Regulative Metaphysics of God and the Systematic Lawfulness of Nature

In the “Appendix to the Transcendental Dialectic” of the Critique of Pure Reason, Kant contends that the idea of God has a positive regulative role in the systematization of empirical knowledge. But why is this regulative role assigned to this specific idea? Kant's account is rather opaque, and this question has also not received much attention in the literature. In this article, I argue that an adequate understanding of the regulative role of the idea of God depends on the specific metaphysical content Kant attributes to it in the Critique and other writings. I show that neither a heuristic principle of conceptual systematicity, nor conceiving God as a hypothesis of an intelligent designer, can satisfy the demands of reason to make the unity and necessity of the laws of nature intelligible. Regarding the positive account about the metaphysical content of the idea of God, I support my argument by referring to Kant's precritical discussion of the usefulness of the conception of God for the project of science, and by expounding Kant's critical account of the necessity of the laws of nature. Thus, my account sheds light on the continuity of Kant's conception of God and his appropriation of his own rationalistic metaphysics.     

The Principle of Sufficient Reason,the Ontological Argument and the Is/Ought Distinction

Kant's attack on metaphysics consists in large part in his attack on a principle that he names the Supreme Principle of Pure Reason. This principle, it is not often noticed, is the Principle of Sufficient Reason [PSR]. In interpreting this principle as such, I argue that Kant's attack on the PSR (and thereby his attack on dogmatic metaphysics as a whole) depends on Kant's claim that existence is not a first‐order predicate. If existence isn't what Kant calls a real predicate, the PSR is false. While this constitutes a powerful Kantian argument against dogmatic rationalism, it also poses a problem for Kant. For, as I argue, if the PSR is true, Kant's argument that existence isn't a first‐order predicate is false. In this sense, Kant's attack on the PSR is begging the question vis‐á‐vis radical metaphysicians (e.g. Spinoza). Concluding the paper I suggest relying on Kant's 'is'/'ought' distinction in avoiding this circularity, thereby reinforcing the Kantian critique.     

A mereological argument for the non‐spatiotemporality of things in themselves

Kant's published arguments for the non‐spatiotemporality of things in themselves have not been well received. I argue that Kant has available to himself an argument for the non‐spatiotemporality of things in themselves that is premised upon a disparity between the compositional structure of the intelligible world and the structure of space and time. I argue that Kant was unwaveringly committed to the premises of this argument throughout his career and that he was aware of their idealistic implications. I also argue that this argument is consistent with Kant's restrictive mature epistemology. If my argument is successful, then even if Kant's published arguments for transcendental idealism fail, we need not regard his ambitious metaphysical project as a failure.     

Kant on the Content of Cognition

I present an argument for an interpretation of Kant's views on the nature of the ‘content [Inhalt]’ of ‘cognition [Erkenntnis]’. In contrast to one of the longest standing interpretations of Kant's views on cognitive content, which ascribes to Kant a straightforwardly psychologistic understanding of content, and in contrast as well to the more recently influential reading of Kant put forward by McDowell and others, according to which Kant embraces a version of Russellianism, I argue that Kant's views on this topic are of a much more Fregean bent than has traditionally been admitted or appreciated. I conclude by providing a sketch of how a better grasp of Kant's views on cognitive content in general can help bring into sharper relief what is, and what is not, at stake in the recent debates over whether Kant accepts a particular kind of cognitive content—namely, non‐conceptual content.     

From the clarity of ideas to the validity of judgments: Kant's farewell to epistemic perfectionism

Against the standard interpretation of Kant's ‘Copernican revolution’ as the prioritization of epistemology over ontology, I argue in this paper that his critique of traditional metaphysics must be seen as a farewell to the perfectionism on which early modern rationalist ontology and epistemology are built. However, Kant does not simply replace ‘perfection’ with another fundamental concept of normativity. More radically, Kant realizes that it is not simply ideas but only the relation of ideas that can be subject to norms, and thus he shifts the focus from the reality of ideas to the validity of judgments. Section 1 of this paper clarifies the pre-Kantian role of the concept of perfection and examines Kant's critical response to that concept. Section 2 identifies Kant's point of departure from the Cartesian ‘way of ideas.’ Section 3 explains the key problem of his novel account of epistemic normativity. I conclude that Kant's anti-perfectionism must be seen as the driving force behind his ‘Copernican revolution’ in order to fully appreciate his mature account of epistemic normativity.     

The Role of Mathematics in Deleuze’s Critical Engagement with Hegel

Abstract

The role of mathematics in the development of Gilles Deleuze’s (1925–95) philosophy of difference as an alternative to the dialectical philosophy determined by the Hegelian dialectic logic is demonstrated in this paper by differentiating Deleuze’s interpretation of the problem of the infinitesimal in Difference and Repetition from that which G. W. F Hegel (1770–1831) presents in the Science of Logic. Each deploys the operation of integration as conceived at different stages in the development of the infinitesimal calculus in his treatment of the problem of the infinitesimal. Against the role that Hegel assigns to integration as the inverse transformation of differentiation in the development of his dialectical logic, Deleuze strategically redeploys Leibniz’s account of integration as a method of summation in the form of a series in the development of his philosophy of difference. By demonstrating the relation between the differential point of view of the Leibnizian infinitesimal calculus and the differential calculus of contemporary mathematics, I argue that Deleuze effectively bypasses the methods of the differential calculus which Hegel uses to support the development of the dialectical logic, and by doing so, sets up the critical perspective from which to construct an alternative logic of relations characteristic of a philosophy of difference. The mode of operation of this logic is then demonstrated by drawing upon the mathematical philosophy of Albert Lautman (1908–44), which plays a significant role in Deleuze’s project of constructing a philosophy of difference. Indeed, the logic of relations that Deleuze constructs is dialectical in the Lautmanian sense.     

Kant's Argument for the Apperception Principle

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.