For Kant, ‘reflection’ is a technical term with a range of senses. I focus here on the senses of reflection that come to light in Kant's account of logic, and then bring the results to bear on the distinction between ‘logical’ and ‘transcendental’ reflection that surfaces in the Amphiboly chapter of the Critique of Pure Reason. Although recent commentary has followed similar cues, I suggest that it labours under a blind spot, as it neglects Kant's distinction between ‘pure’ and ‘applied’ (...) general logic. The foundational text of existing interpretations is a passage in Logik Jäsche that appears to attribute to Kant the view that reflection is a mental operation involved in the generation of concepts from non-conceptual materials. I argue against the received view by attending to Kant's division between ‘pure’ and ‘applied’ general logic, identifying senses of reflection proper to each, and showing that none accords well with the received view. Finally, to take account of Kant's notio.. (shrink)

There can be no doubt that Kant thought we should be reflective: we ought to care to make up our own minds about how things are and what is worth doing. Philosophical objections to the Kantian reflective ideal have centred on concerns about the excessive control that the reflective person is supposed to exert over her own mental life, and Kantians who feel the force of these objections have recently drawn attention to Kant’s conception of moral virtue as it is (...) developed in his later work, chiefly the Metaphysics of Morals. Melissa Merritt’s book is a distinctive contribution to this recent turn to virtue in Kant scholarship. Merritt argues that we need a clearer, and textually more comprehensive, account of what reflection is, in order not only to understand Kant’s account of virtue, but also to appreciate how it effectively rebuts long-standing objections to the Kantian reflective ideal. (shrink)

What I plan to do in this paper is to provide a survey of the ways in which Spinoza’s philosophy has been deployed in relation to early modern thought, in the history of ideas and in a number of different domains of contemporary philosophy, and to offer an account of how some of this research has developed. The past decade of research in Spinoza studies has been characterized by a number of tendencies; however, it is possible to identify four main (...) domains that characterize these different lines of research: studies of Spinoza’s individual works, of its problematic concepts, from the point of view of the history of ideas, and comparative studies of Spinoza’s ideas. (shrink)

In the paper “Math Anxiety,” Aden Evens explores the manner by means of which concepts are implicated in the problematic Idea according to the philosophy of Gilles Deleuze. The example that Evens draws from Difference and Repetition in order to demonstrate this relation is a mathematics problem, the elements of which are the differentials of the differential calculus. What I would like to offer in the present paper is an historical account of the mathematical problematic that Deleuze deploys in his (...) philosophy, and an introduction to the role that this problematic plays in the develop- ment of his philosophy of difference. One of the points of departure that I will take from the Evens paper is the theme of “power series.”2 This will involve a detailed elaboration of the mechanism by means of which power series operate in the differential calculus deployed by Deleuze in Difference and Repetition. Deleuze actually constructs an alternative history of mathematics that establishes an historical conti- nuity between the differential point of view of the infinitesimal calculus and modern theories of the differential calculus. It is in relation to the differential point of view of the infinitesimal calculus that Deleuze determines a differential logic which he deploys, in the form of a logic of different/ciation, in the development of his proj- ect of constructing a philosophy of difference. (shrink)

Explications of the reconstruction of Leibniz’s metaphysics that Deleuze undertakes in 'The Fold: Leibniz and the Baroque' focus predominantly on the role of the infinitesimal calculus developed by Leibniz.1 While not underestimat- ing the importance of the infinitesimal calculus and the law of continuity as reflected in the calculus of infinite series to any understanding of Leibniz’s metaphysics and to Deleuze’s reconstruction of it in The Fold, what I propose to examine in this paper is the role played by other (...) developments in mathematics that Deleuze draws upon, including those made by a number of Leibniz’s near contemporaries – the projective geometry that has its roots in the work of Desargues (1591–1661) and the ‘proto-topology’ that appears in the work of Du ̈rer (1471–1528) – and a number of the subsequent developments in these fields of mathematics. Deleuze brings this elaborate conjunction of material together in order to set up a mathematical idealization of the system that he considers to be implicit in Leibniz’s work. The result is a thoroughly mathematical explication of the structure of Leibniz’s metaphysics. What is provided in this paper is an exposition of the very mathematical underpinnings of this Deleuzian account of the structure of Leibniz’s metaphysics, which, I maintain, subtends the entire text of The Fold. (shrink)

Of all twentieth century philosophers, it is Gilles Deleuze whose work agitates most forcefully for a worldview privileging becoming over being, difference over sameness; the world as a complex, open set of multiplicities. Nevertheless, Deleuze remains singular in enlisting mathematical resources to underpin and inform such a position, refusing the hackneyed opposition between ‘static’ mathematical logic versus ‘dynamic’ physical world. This is an international collection of work commissioned from foremost philosophers, mathematicians and philosophers of science, to address the wide range (...) of problematics and influences in this most important strand of Deleuze’s thinking. Contributors are Charles Alunni, Alain Badiou, Gilles Châtelet, Manuel DeLanda, Simon Duffy, Robin Durie, Aden Evens, Arkady Plotnitsky, Jean-Michel Salanskis, Daniel Smith and David Webb. (shrink)

In the Doctrine of Virtue Kant divides duties of love into three categories: beneficent activity , gratitude and Teilnehmung – commonly referred to as the duty of sympathy . In this paper I will argue that the content and scope of the third duty of love has been underestimated by both critics and defenders of Kant's ethical theory. The account which pervades the secondary literature maintains that the third duty of love includes only two components: an obligation to make use (...) of our natural receptivity to sympathetic feelings as a means to fulfilling other duties of love, and an indirect duty to cultivate these feelings. As a result, Kant's duty of sympathy has been widely regarded as a duty whose value is derived from the way in which it serves other duties, in particular, the duty of beneficent activity, which obliges agents ‘to promote according to one's means the happiness of others in need’ . Teilnehmung has thus assumed something of a second-class status among the duties to others. My aim in this paper is to demonstrate that the prevailing account of Kant's third duty of love is incomplete. (shrink)

I respond to a dilemma for Causal Decision Theory (CDT) under determinism, posed in Adam Elga's paper “Confessions of a Causal Decision Theorist”. The treatment I present highlights (i) the status of laws as predictors, and (ii) the consequences of decision dependence, which arises natively out of Jeffrey Conditioning and CDT's characteristic equation. My argument leverages decision dependence to work around a key assumption of Elga's proof: to wit, that in the two problems he presents, the CDTer must employ subjunctive‐suppositional (...) (rather than evidential) transformations of a shared prior. (shrink)

A crucial feature of Kant's critical-period writing on the sublime is its grounding in moral psychology. Whereas in the pre-critical writings, the sublime is viewed as an inherently exhausting state of mind, in the critical-period writings it is presented as one that gains strength the more it is sustained. I account for this in terms of Kantian moral psychology, and explain that, for Kant, sound moral disposition is conceived as a sublime state of mind.

According to the reading of Spinoza that Gilles Deleuze presents in Expressionism in Philosophy: Spinoza, Spinoza's philosophy should not be represented as a moment that can be simply subsumed and sublated within the dialectical progression of the history of philosophy, as it is figured by Hegel in the Science of Logic, but rather should be considered as providing an alternative point of view for the development of a philosophy that overcomes Hegelian idealism. Indeed, Deleuze demonstrates, by means of Spinoza, that (...) a more complex philosophy antedates Hegel's which cannot be supplanted by it. Spinoza therefore becomes a significant figure in Deleuze's project of tracing an alternative lineage in the history of philosophy, which, by distancing itself from Hegelian idealism, culminates in the construction of a philosophy of difference. Deleuze presents Spinoza's metaphysics as determined according to a 'logic of expression', which, insofar as it contributes to the determination of a philosophy of difference, functions as an alternative to the Hegelian dialectical logic. Deleuze's project in Expressionism in Philosophy is therefore to redeploy Spinoza in order to mobilize his philosophy of difference as an alternative to the dialectical philosophy determined by the Hegelian dialectic logic. (shrink)

I propose a unified solution to two puzzles: Ross's puzzle and free choice permission. I begin with a pair of cases from the decision theory literature illustrating the phenomenon of act dependence, where what an agent ought to do depends on what she does. The notion of permissibility distilled from these cases forms the basis for my analysis of 'may' and 'ought'. This framework is then combined with a generalization of the classical semantics for disjunction — equivalent to Boolean disjunction (...) on the diagonal, but with a different two-dimensional character — that explains the puzzling facts in terms of semantic consequence. (shrink)

Maimon’s theory of the differential has proved to be a rather enigmatic aspect of his philosophy. By drawing upon mathematical developments that had occurred earlier in the century and that, by virtue of the arguments presented in the Essay and comments elsewhere in his writing, I suggest Maimon would have been aware of, what I propose to offer in this paper is a study of the differential and the role that it plays in the Essay on Transcendental Philosophy (1790). In (...) order to do so, this paper focuses upon Maimon’s criticism of the role played by mathematics in Kant’s philosophy, to which Maimon offers a Leibnizian solution based on the infinitesimal calculus. The main difficulties that Maimon has with Kant’s system, the second of which will be the focus of this paper, include the presumption of the existence of synthetic a priori judgments, i.e. the question quid facti, and the question of whether the fact of our use of a priori concepts in experience is justified, i.e. the question quid juris. Maimon deploys mathematics, specifically arithmetic, against Kant to show how it is possible to understand objects as having been constituted by the very relations between them, and he proposes an alternative solution to the question quid juris, which relies on the concept of the differential. However, despite these arguments, Maimon remains sceptical with respect to the question quid facti. (shrink)

For Kant, the ideal of enlightenment is most fundamentally expressed as a self-developed soundness of judgment. But what does this mean when the judgment at issue is practical, i.e., concerns the good to be brought about through action? I argue that the moral context places special demands on the ideal of enlightenment. This is revealed through an interpretation of Kant’s prescription for moral pedagogy in the Critique of Practical Reason. The goal of the pedagogy is to cultivate the moral disposition, (...) and the method consists of training in judgment. Unfortunately, Kant seems to wind up somewhere short of this goal, leaving the young person with only an idle wish for a properly cultivated moral disposition. In this paper, I argue that when we address the special issues that arise when the enlightenment ideal is brought to bear on practical judgment — issues that stem from the intrinsic connection between practical judgment and agency — we will see that there is no lacuna in Kant’s account. (shrink)

The reconstruction of Leibniz’s metaphysics that Deleuze undertakes in The Fold provides a systematic account of the structure of Leibniz’s metaphysics in terms of its mathematical foundations. However, in doing so, Deleuze draws not only upon the mathematics developed by Leibniz—including the law of continuity as reflected in the calculus of infinite series and the infinitesimal calculus—but also upon developments in mathematics made by a number of Leibniz’s contemporaries—including Newton’s method of fluxions. He also draws upon a number of subsequent (...) developments in mathematics, the rudiments of which can be more or less located in Leibniz’s own work—including the theory of functions and singularities, the Weierstrassian theory of analytic continuity, and Poincaré’s theory of automorphic functions. Deleuze then retrospectively maps these developments back onto the structure of Leibniz’s metaphysics. While the Weierstrassian theory of analytic continuity serves to clarify Leibniz’s work, Poincaré’s theory of automorphic functions offers a solution to overcome and extend the limits that Deleuze identifies in Leibniz’s metaphysics. Deleuze brings this elaborate conjunction of material together in order to set up a mathematical idealization of the system that he considers to be implicit in Leibniz’s work. The result is a thoroughly mathematical explication of the structure of Leibniz’s metaphysics. This essay is an exposition of the very mathematical underpinnings of this Deleuzian account of the structure of Leibniz’s metaphysics, which, I maintain, subtends the entire text of The Fold. (shrink)

The debate between ΛCDM and MOND is often cast in terms of competing gravitational theories. However, recent philosophical discussion suggests that the ΛCDM–MOND debate demonstrates the challenges of multiscale modeling in the context of cosmological scales. I extend this discussion and explore what happens when the debate is thought to be about modeling rather than about theory, offering a model-focused interpretation of the ΛCDM–MOND debate. This analysis shows how a model-focused interpretation of the debate provides a better understanding of challenges (...) asso- ciated with extension to a different scale or domain, which are tied to commitments about explanatory fit. (shrink)

Many extant theories of placebo focus on their causal structure wherein placebo effects are those that originate from select features of the therapy (e.g., client expectations or “incidental” features like size and shape). Although such accounts can distinguish placebos from standard medical treatments, they cannot distinguish placebos from everyday occurrences, for example, when positive feedback improves our performance on a task. Providing a social-epistemological account of a treatment context can rule out such occurrences, and furthermore reveal a new way to (...) distinguish clinical placebos from standard medical treatments. (shrink)

I reconsider the relation between love and respect in Kantian ethics, taking as my guide Iris Murdoch's view of love as the fundamental moral attitude and a kind of attention to individuals. It is widely supposed that Kantian ethics disregards individuals, since we don't respect individuals but the universal quality of personhood they instantiate. We need not draw this conclusion if we recognise that Kant and Murdoch share a view about the centrality of love to virtue. We can then see (...) that respect in the virtuous person cannot be blind to the individual, as critics of Kantian ethics contend. My approach contrasts recent efforts to assimilate Kantian respect to Murdochian love, which overlook Murdoch's distinctive claims about the singularity of moral activity. This idea is not as un-Kantian as it seems, and it should inform any Kantian ethics that aims to address the charge about individuals. (shrink)

In Hegel ou Spinoza,1 Pierre Macherey challenges the influence of Hegel’s reading of Spinoza by stressing the degree to which Spinoza eludes the grasp of the Hegelian dialectical progression of the history of philosophy. He argues that Hegel provides a defensive misreading of Spinoza, and that he had to “misread him” in order to maintain his subjective idealism. The suggestion being that Spinoza’s philosophy represents, not a moment that can simply be sublated and subsumed within the dialectical progression of the (...) history of philosophy, but rather an alternative point of view for the development of a philosophy that overcomes Hegelian idealism. Gilles Deleuze also considers Spinoza’s philosophy to resist the totalising effects of the dialectic. Indeed, Deleuze demonstrates, by means of Spinoza, that a more complex philosophy antedates Hegel’s, which cannot be supplanted by it. Spinoza therefore becomes a significant figure in Deleuze’s project of tracing an alternative lineage in the history of philosophy, which, by distancing itself from Hegelian idealism, culminates in the construction of a philosophy of difference. It is Spinoza’s role in this project that will be demonstrated in this paper by differentiating Deleuze’s interpretation of the geometrical example of Spinoza’s Letter XII (on the problem of the infinite) in Expressionism in Philosophy, Spinoza,2 from that which Hegel presents in the Science of Logic.3. (shrink)

“Everyone has a price at which he sells himself”: Immanuel Kant quotes this remark in the 1793 _Religion within the Bounds of Reason Alone_, attributing it to “a member of English Parliament”. I argue, however, that the context of the quotation in the _Religion_ alludes to the arresting pedagogical practices of the Stoic philosopher Epictetus, who famously said that “different people sell themselves at different prices” (Discourses 1.2). I argue that there are two sides of Epictetus’s pedagogical strategies: a jolting (...) side meant to expose self-deception and practical inconsistency; and an uplifting side meant to arouse the resources by which it is possible to progress towards virtue — specifically, our sense of kinship with the divine insofar as we are rational. I argue that Kant develops a conception of self-respect in later practical works that plausibly draws on Epictetus, and his distinctive version of the traditional Stoic account of rational agency. (shrink)

To make sense of what Gilles Deleuze understands by a mathematical concept requires unpacking what he considers to be the conceptualizable character of a mathematical theory. For Deleuze, the mathematical problems to which theories are solutions retain their relevance to the theories not only as the conditions that govern their development, but also insofar as they can contribute to determining the conceptualizable character of those theories. Deleuze presents two examples of mathematical problems that operate in this way, which he considers (...) to be characteristic of a more general theory of mathematical problems. By providing an account of the historical development of this more general theory, which he traces drawing upon the work of Weierstrass, Poincaré, Riemann, and Weyl, and of its significance to the work of Deleuze, an account of what a mathematical concept is for Deleuze will be developed. (shrink)

The Free Choice effect—whereby \\) seems to entail both \ and \—has traditionally been characterized as a phenomenon affecting the deontic modal ‘may’. This paper presents an extension of the semantic account of free choice defended by Fusco to the agentive modal ‘can’, the ‘can’ which, intuitively, describes an agent’s powers. On this account, free choice is a nonspecific de re phenomenon that—unlike typical cases—affects disjunction. I begin by sketching a model of inexact ability, which grounds a modal approach to (...) agency in a Williamson -style margin of error. A classical propositional semantics combined with this framework can reflect the intuitions highlighted by Kenny ’s dartboard cases, as well as the counterexamples to simple conditional views recently discussed by Mandelkern et al.. In Section 3, I turn to an independently motivated actual-world-sensitive account of disjunction, and show how it extends free choice inferences into an object language for propositional modal logic. (shrink)

Why did Kant write the Critique of Judgment, and why did he say that his analysis of the judgment of taste — his technical term for our enjoyment of beauty — is the most important part of it? Kant claims that his analysis of taste “reveals a property of our faculty of cognition that without this analysis would have remained unknown” (KU §8, 5:213). The clue lies in Kant’s view that while taste is an aesthetic, and non-cognitive, mode of judgment, (...) it nevertheless involves the “free play” of cognitive capacities that is pleasurable in some way that ordinary cognitive business is not. My thesis is that the judgment of taste reveals a pleasure that is not usually apparent when we understand something in particular, but which is nevertheless proper to the activity of understanding as such. This matters, I argue, because in this way the judgment of taste points to a standard of cognitive virtue. (shrink)

The paper argues that existing interpretations of Kant's Critique of Pure Reason as an "analysis of experience" (e.g., those of Kitcher and Strawson) fail because they do not properly appreciate the method of the work. The author argues that the Critique provides an analysis of the faculty of reason, and counts as an analysis of experience only in a derivative sense.

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. (shrink)

This paper addresses a little puzzle with a surprisingly long pedigree and a surprisingly large wake: the puzzle of Free Choice Permission. I begin by presenting a popular sketch of a pragmatic solution to the puzzle, due to Kratzer and Shimoyama, which has received a good deal of discussion, endorsement and elaboration in recent work :535–590, 2006; Fox, in: Sauerland and Stateva Presupposition and implicature in compositional semantics, 2007; Geurts, Mind Lang 24:51–79, 2009; von Fintel, Central APA session on Deontic (...) Modals, 2012). I then explain why the general form of the Kratzer and Shimoyama explanation is not extensionally adequate. This leaves us with two possibilities with regard to the original solution-sketch; either the suggested pragmatic route fails, or it succeeds in a particularly strange way: Free Choice permission is rendered a kind pragmatic illusion on the part of both speakers and hearers. Finally, I discuss some ramifications. (shrink)

Kant’s account of “the radical evil in human nature” in the 1793 Religion within the Bounds of Reason Alone is typically interpreted as a reworking of the Augustinian doctrine of original sin. But Kant doesn’t talk about Augustine explicitly there, and if he is rehabilitating the doctrine of original sin, the result is not obviously Augustinian. Instead Kant talks about Stoic ethics in a pair of passages on either end of his account of radical evil, and leaves other clues that (...) his argument is a reworking of an old Stoic problem. “Radical evil” refers to the idea that our moral condition is — by default and yet by our own deed — bad or corrupt; and that this corruption is the root (radix) of human badness in all its variety, ubiquity, and sheer ordinariness. Kant takes as his premise a version of the Stoic idea that nature gives us “uncorrupted starting points” (Diogenes Laertius 7.89). What sense can be made of the origin of human badness, given such a premise? Kant’s account of radical evil is an answer to this old Stoic problem, which requires a conception of freedom that is not available in his Stoic sources. (shrink)

This article examines the seventeenth-century debate between the Dutch philosopher Benedict de Spinoza and the British scientist Robert Boyle, with a view to explicating what the twentieth-century French philosopher Gilles Deleuze considers to be the difference between science and philosophy. The two main themes that are usually drawn from the correspondence of Boyle and Spinoza, and used to polarize the exchange, are the different views on scientific methodology and on the nature of matter that are attributed to each correspondent. Commentators (...) have tended to focus on one or the other of these themes in order to champion either Boyle or Spinoza in their assessment of the exchange. This paper draws upon the resources made available by Gilles Deleuze and Felix Guattari in their major work What is Philosophy?, in order to offer a more balanced account of the exchange, which in its turn contributes to our understanding of Deleuze and Guattari’s conception of the difference between science and philosophy. (shrink)

Noah Rosenberg et al.'s 2002 article “Genetic Structure of Human Populations” reported that multivariate genomic analysis of a large cell line panel yielded reproducible groupings (clusters) suggestive of individuals' geographical origins. The paper has been repeatedly cited as evidence that traditional notions of race have a biological basis, a claim its authors do not make. Critics of this misinterpretation have often suggested that it follows from interpreters' personal biases skewing the reception of an objective piece of scientific writing. I contend, (...) however, that the article itself to some degree facilitates this misrepresentation. I analyze in detail several verbal and visual features of the original article that may predispose aspects of its racial interpretation; and, tracing the arguments of one philosopher and one popular science writer, I show how these features are absorbed, transformed into arguments for a biological basis of race, and re-attributed to the original. The essay demonstrates how even slight ambiguities can enable the misappropriation of scientific writing, unintentionally undermining the authors' stated circumspection on the relationship between cluster and race. (shrink)

The aim of this chapter is to test the degree to which Deleuze’s philosophy can be reconciled with the subject naturalist approach to pragmatism put forward by Macarthur and Price.

My project is to reconsider the Kantian conception of practical reason. Some Kantians think that practical reasoning must be more active than theoretical reasoning, on the putative grounds that such reasoning need not contend with what is there anyway, independently of its exercise. Behind that claim stands the thesis that practical reason is essentially efficacious. I accept the efficacy principle, but deny that it underwrites this inference about practical reason. My inquiry takes place against the background of recent Kantian metaethical (...) debate — each side of which, I argue, correctly points to issues that need to be jointly accommodated in the Kantian account of practical reason. The constructivist points to the essential efficacy of practical reason, while the realist claims that any genuinely cognitive exercise of practical reason owes allegiance to what is there anyway, independently of its exercise. I argue that a Kantian account of respect for persons (“recognition respect”) suggests how the two claims might be jointly accommodated. The result is an empirical moral realism that is itself neutral on the received Kantian metaethical debate. (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)

Alix Cohen argues that the function of feeling in Kantian psychology is to appraise and orient activity. Thus she sees feeling and agency as importantly connected by Kant’s lights. I endorse this broader claim, but argue that feeling, on her account, cannot do the work of orientation that she assigns to it.

In the chapter of Difference and Repetition entitled ‘Ideas and the synthesis of difference,’ Deleuze mobilizes mathematics to develop a ‘calculus of problems’ that is based on the mathematical philosophy of Albert Lautman. Deleuze explicates this process by referring to the operation of certain conceptual couples in the field of contemporary mathematics: most notably the continuous and the discontinuous, the infinite and the finite, and the global and the local. The two mathematical theories that Deleuze draws upon for this purpose (...) are the differential calculus and the theory of dynamical systems, and Galois’ theory of polynomial equations. For the purposes of this paper I will only treat the first of these, which is based on the idea that the singularities of vector fields determine the local trajectories of solution curves, or their ‘topological behaviour’. These singularities can be described in terms of the given mathematical problematic, that is for example, how to solve two divergent series in the same field, and in terms of the solutions, as the trajectories of the solution curves to the problem. What actually counts as a solution to a problem is determined by the specific characteristics of the problem itself, typically by the singularities of this problem and the way in which they are distributed in a system. Deleuze understands the differential calculus essentially as a ‘calculus of problems’, and the theory of dynamical systems as the qualitative and topological theory of problems, which, when connected together, are determinative of the complex logic of different/ciation. (DR 209). Deleuze develops the concept of a problematic idea from the differential calculus, and following Lautman considers the concept of genesis in mathematics to ‘play the role of model ... with respect to all other domains of incarnation’. While Lautman explicated the philosophical logic of the actualization of ideas within the framework of mathematics, Deleuze (along with Guattari) follows Lautman’s suggestion and explicates the operation of this logic within the framework of a multiplicity of domains, including for example philosophy, science and art in What is Philosophy?, and the variety of domains which characterise the plateaus in A Thousand Plateaus. While for Lautman, a mathematical problem is resolved by the development of a new mathematical theory, for Deleuze, it is the construction of a concept that offers a solution to a philosophical problem; even if this newly constructed concept is characteristic of, or modelled on the new mathematical theory. (shrink)

This Element considers Kant's account of the sublime in the context of his predecessors both in the Anglophone and German rationalist traditions. Since Kant says with evident endorsement that 'we call sublime that which is absolutely great' and nothing in nature can in fact be absolutely great, Kant concludes that strictly speaking what is sublime can only be the human calling to perfect our rational capacity according to the standard of virtue that is thought through the moral law. The Element (...) takes account of the difference between respect and admiration as the two main varieties of sublime feeling, and concludes by considering the role of Stoicism in Kant's account of the sublime, particularly through the channel of Seneca. (shrink)

The Common Anatomy Reference Ontology (CARO) is being developed to facilitate interoperability between existing anatomy ontologies for different species, and will provide a template for building new anatomy ontologies. CARO has a structural axis of classification based on the top-level nodes of the Foundational Model of Anatomy. CARO will complement the developmental process sub-ontology of the GO Biological Process ontology, using it to ensure the coherent treatment of developmental stages, and to provide a common framework for the model organism communities (...) to classify developmental structures. Definitions for the types and relationships are being generated by a consortium of investigators from diverse backgrounds to ensure applicability to all organisms. CARO will support the coordination of cross-species ontologies at all levels of anatomical granularity by cross-referencing types within the cell type ontology (CL) and the Gene Ontology (GO) Cellular Component ontology. A complete cross-species CARO could be utilized in other ontologies for cross-product generation. (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)

It is widely assumed that Kant’s moral psychology draws from the dualist tradition of Plato and Aristotle, which takes there to be distinct rational and non-rational parts of the soul. My aim is to challenge the air of obviousness that psychological dualism enjoys in neo-Kantian moral psychology, specifically in regard to Tamar Schapiro’s account of the nature of inclination. I argue that Kant’s own account of inclination instead provides evidence of his commitment to psychological monism, the idea that the mentality (...) of an adult human being is rational through and through. I first consider Schapiro’s “intuitions” in favour of dualism: inclination must have a non-rational source, she contends, because they assail us unbidden and are not immediately responsive to volition, and because we are not responsible simply for having inclinations (only for acting on them). I explain how a monistic account of the nature of inclination can accommodate the first two points, and explain why the third neither is a point a Kantian can accept, nor is its denial the affront to common sense that Schapiro supposes. Then I turn to Schapiro’s aim to conceive of reflection as non-rational and thus independent of justificatory thought, and yet such as to induce rational reflection. I argue that it remains mysterious how inclination, on her account, could be resourced to play this role; and with that criticism in mind, I conclude by making a positive case for Kant’s conceiving of inclination in monistic terms, as an expression of rational mindedness. (shrink)

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 chapter argues that Kant’s aesthetic theory of the sublime has particular relevance for his ethics of virtue. Kant contends that our readiness to revel in natural sublimity depends upon a background commitment to moral ends. Further lessons about the emotional register of the sublime allow us to understand how Kant can plausibly contend that the temperament of virtue is both sublime and joyous at the same time.

Scholars have widely assumed that the aspects of Kant’s virtue theory that nod to ancient ethics must be cashed out with reference to Aristotle. Interpreters then worry that Kant's conception of virtue as a “moral strength of will” (Doctrine of Virtue, 6:405) must be tantamount to Aristotle’s notion of “continence” (enkrateia) — the state of a person who knows the good, and acts accordingly, but must overcome strong countervailing impulses in order to do so. The result plays into caricatures of (...) Kantian ethics as valorising a joyless standard of duty, which these Aristotelian-oriented commentators (rightly) wish to resist. However, the worry is misplaced. I show that Kant is not thinking about Aristotle here, but is instead engaged with a specifically Stoic approach to ethics as a dimension of natural teleology. I draw on this context to show that Kant’s virtue-as-strength idea is not marred in the ways it appears to be when read through an Aristotelian lens. (shrink)

The theme of the conflict between the different interpretations of Spinoza’s philosophy in French scholarship, introduced by Christopher Norris in this volume and expanded on by Alain Badiou, is also central to the argument presented in this chapter. Indeed, this chapter will be preoccupied with distinguishing the interpretations of Spinoza by two of the figures introduced by Badiou. The interpretation of Spinoza offered by Gilles Deleuze in Expressionism in Philosophy provides an account of the dynamic changes or transformations of the (...) characteristic relations of a Spinozist finite existing mode, or human being. This account has been criticized more or less explicitly by a number of commentators, including Charles Ramond. Rather than providing a defence of Deleuze on this specific point, which I have done elsewhere, what I propose to do in this chapter is provide an account of the role played by “joyful passive a affections” in these dynamic changes or transformations by distinguishing Deleuze’s account of this role from that offered by one of his more explicit critics on this issue, Pierre Macherey. An appreciation of the role played by “joyful passive affections” in this context is crucial to understanding how Deleuze’s interpretation of Spinoza is implicated in his broader philosophical project of constructing a philosophy of difference. The outcome is a position that, like Badiou in the previous chapter, rules out “intellect in potentiality” but maintains a role for the joyful passive affects in the development of adequate ideas. (shrink)

Much has been made of Deleuze’s Neo-Leibnizianism,3 however not very much detailed work has been done on the specific nature of Deleuze’s critique of Leibniz that positions his work within the broader framework of Deleuze’s own philo- sophical project. The present chapter undertakes to redress this oversight by providing an account of the reconstruction of Leibniz’s metaphysics that Deleuze undertakes in The Fold. Deleuze provides a systematic account of the structure of Leibniz’s metaphys- ics in terms of its mathematical underpinnings. (...) However, in doing so, Deleuze draws upon not only the mathematics developed by Leibniz – including the law of continuity as reflected in the calculus of infinite series and the infinitesimal calculus – but also the developments in mathematics made by a number of Leibniz’s contemporaries – including Newton’s method of fluxions – and a number of subsequent developments in mathematics, the rudiments of which can be more or less located in Leibniz’s own work – including the theory of functions and singularities, the theory of continuity and Poincaré’s theory of automorphic functions. Deleuze then retrospectively maps these developments back onto the structure of Leibniz’s metaphysics. While the theory of continuity serves to clarify Leibniz’s work, Poincaré’s theory of automorphic functions offers a solution to overcome and extend the limits that Deleuze identifies in Leibniz’s metaphysics. Deleuze brings this elaborate conjunction of material together in order to set up a mathematical idealization of the system that he considers to be implicit in Leibniz’s work. The result is a thoroughly mathematical explication of the structure of Leibniz’s metaphysics. What is provided in this chapter is an exposition of the very mathematical underpinnings of this Deleuzian account of the structure of Leibniz’s metaphysics, which, I maintain, subtends the entire text of The Fold. (shrink)

I examine the significance of the Stoic theory of pathē for Kant’s moral psychology, arguing against the received view that systematic differences block the possibility of Kant’s drawing anything more than rhetoric from his Stoic sources. More particularly, I take on the chronically underexamined assumption that Kant is committed to a psychological dualism in the tradition of Plato and Aristotle, positing distinct rational and nonrational elements of human mentality. By contrast, Stoics take the mentality of an adult human being to (...) be rational through and through, while recognising that this rationality is not normally in a state of health or excellence. I show how Kant’s account of affections—chiefly the “affects” and “passions” that he identifies as targets of a duty of apathy—draws substantive lessons from his Stoic sources, and how he accepts on his own terms the monistic principles of Stoic moral psychology. (shrink)

The chapter examines Kant’s thesis about the ‘radical evil in human nature’ developed in his Religion within the Boundaries of Mere Reason. According to this thesis, the human moral condition is corrupt by default and yet by own deed; and this corruption is the origin (root, radix) of human badness in all its variety, banality, and ubiquity. While Kant clearly takes radical evil to be endemic in human nature, controversy reigns about how to understand this. Some assume this can only (...) be a synthetic a priori claim about the necessity of radical evil (and thus one requiring a transcendental deduction). However, Kant indicates that while radical evil is inevitable it is not, for that, strictly necessary. The best way to understand this is through a teleological approach that explains how we inevitably bring this corruption upon ourselves in the course of our development. The chapter thereby joins other teleological accounts, but distinctively argues that Kant draws on Stoic natural teleology (specifically the doctrine of oikeiōsis), which he knows through Seneca and Cicero. This background allows us to make sense of the structure of Kant’s argument in ways that shed fresh light on the philosophical content of the thesis about radical evil. It also allows us to see that another hotly debated issue — namely, whether radical evil should be understood in ‘psychological’ or ‘social’ terms — is spurious: we see that these are flip sides of one coin, and are better placed to register the broader ethical significance of this result. (shrink)

In an intriguing but neglected passage in the Transcendental Deduction, Kant appears to link the synthetic activity of the understanding in experience with the phenomenon of attention (B156-7n). In this paper, we take up this hint, and draw upon Kant's remarks about attention in the Anthropology to shed light on the vexed question of what, exactly, the understanding's role in experience is for Kant. We argue that reading Kant's claims about synthesis in this light allows us to combine two aspects (...) of Kant's views that many commentators have thought are in tension with one another: on the one hand, Kant's apparent commitment to naïve realism about perception and, on the other, his apparent commitment to the necessity of synthetic activity by the understanding for any kind of cognitive contact with external objects. (shrink)

his article develops a set of recommendations for the psychiatric and medical community in the treatment of mental disorders in response to the recently published fifth edition of the Diagnostic and Statistical Manual of Mental Disorders, that is, DSM-5. We focus primarily on the limitations of the DSM-5 in its individuation of Complicated Grief, which can be diagnosed as Major Depression under its new criteria, and Post-Traumatic Stress Disorder (PTSD). We argue that the hyponarrativity of the descriptions of these disorders (...) in the DSM-5, defined as the abstraction of the illness categories from the particular life contingencies and personal identity of the patient (e.g., age, race, gender, socio-economic status), constrains the DSM-5's usefulness in the development of psychotherapeutic approaches in the treatment of mental disorders. While the DSM-5 is useful in some scientific and administrative contexts, the DSM's hyponarrativity is problematic, we argue, given that the DSMs are designed to be useful guides for not only scientific research, but also for the education of medical practitioners and for treatment development. our goal therefore is to offer suggestions for mental health practitioners in using the DSM-5, so that they can avoid or eliminate the problems that may stem from the limitations of hyponarrativity. When such problems are eliminated, we believe that effective psychotherapeutic strategies can be developed, which would be successful in repairing the very relationships that are strained in mental disorder: the patient's relationship to herself, her physical environment, and her social environment. (shrink)

Two-dimensional semantics, which can represent the distinction between a priority and necessity, has wielded considerable influence in the philosophy of language. In this paper, I axiomatize the dagger operator of Stalnaker’s “Assertion” in the formal context of two-dimensional modal logic. The language contains modalities of actuality, necessity, and a priority, but is also able to represent diagonalization, a conceptually important operation in a variety of contexts, including models of the relative a priori and a posteriori often appealed to Bayesian and (...) Gricean contexts. Finally, I sketch the prospects for extending this two-dimensional upgrade to other kinds of modal logics for natural language. (shrink)

This thesis sets out an argument in defence of moral objectivism. It takes Mackie as the critic of objectivism and it ends by proposing that the best defence of objectivism may be found in what I shall call Kantian intuitionism, which brings together elements of the intuitionism of Ross and a Kantian epistemology. The argument is fundamentally transcendental in form and it proceeds by first setting out what we intuitively believe, rejecting the sceptical attacks on those beliefs, and by then (...) proposing a theory that can legitimize what we already do believe. Chapter One sets out our intuitive understanding of morality: that morality is cognitive, moral beliefs can be true or false; that morality is real, we do not construct it; that morality is rational, we can learn about it by rational investigation; and that morality places us under an absolute constraint. The chapter ends by clarifying the nature of that absolute demand and by arguing that the critical idea within morality is the idea of duty. In Chapter Two Mackie’s sceptical attack on objectivism is examined. Four key arguments are identified: that moral beliefs are relative to bfferent agents; that morality is based upon on non-rational causes; that the idea of moral properties or entities is too queer to be sustainable; and that moral objectivism involves queer epistemological commitments. Essentially all of these arguments are shown to be ambiguous; however it is proposed that Mackie has an underlying epistemological and metaphysical theory, scientific empiricism, which is hostile to objectivism and a theory that many find attractive for reasons that are independent of morality. Chapter Three explores the nature of moral rationality and whether scientific empiricism can use the idea of reflective equilibrium to offer a reasonable account of moral rationality. It concludes that, while reflective equilibrium is a useful account of moral rationality, it cannot be effectively reconciled with scientific empiricism. In order to function effectively as a rational process, reflective equilibrium must be rationally constrained by our moral judgements and our moral principles. Chapter Four begins the process of exploring some alternative epistemologies and argues that the only account that remains true to objectivism and the needs of reflective equilibrium is the account of intuitionism proposed by Ross. However this account can be developed further by drawing upon number of Kantian ideas and using them to supplement Ross’s intuitionism. So Chapter Five draws upon a number of Kant's ideas, most notably some key notions from the Critique of Judgement. These ideas are: that we possess a rational will that is subject to the Moral law and determined by practical reason; that we possess a faculty of judgement which enables us to become aware of moral properties and that these two faculties together with the third faculty of thought can function to constitute the moral understanding. Using these ideas the thesis explores whether they can serve to explain how intuitions can be rational and how objectivism can be justified. (shrink)

The volume brings together ancient-philosophy specialists and Kant scholars to advance our understanding of the significance of Stoicism for Immanuel Kant's ethical thought. Kant and Stoic Ethics -/- Contents: -/- Introduction -/- 1 Ethical Formulae in Ancient Stoicism — Brad Inwood -/- 2 Duties and Permissible Actions in the Early Stoics and Kant — Iakovos Vasiliou -/- 3 The Stoics and Kant on the Motive of Duty — Jacob Klein -/- 4 Kant on the Unity and Plurality of the Virtues (...) — Katja Maria Vogt -/- 5 Perfection and Morality — Stephen Engstrom -/- 6 The Stoical Sublime — I.S. Blecher 7 Kant’s Rejection of Stoic Eudaimonism — Michael Vazquez -/- 8 Life as a Game of Skill? Kant and the Stoics about the Results of Human Agency — Jens Timmermann -/- 9 Living in accordance with Nature: Kant and Stoicism — Paul Guyer -/- 10 On the Relationship between Orientation and Agency: From the Stoics’ Oikeiōsis to Kant’s Orientierung — Alix Cohen -/- 11 “Everyone has a price at which he sells himself”: Epictetus and Kant on Self-respect — Melissa Merritt -/- 12 Anger Reinstated: Stoics and Kant on Anger — Nancy Sherman 13 Kant’s Philosophy of History as Stoic Consolation — Rachel Zuckert -/- Bibliography Index . (shrink)

The competing expressions of ideology flooding the contemporary political landscape have taken a turn toward the absurd. The Radiance Foundation’s recent anti-abortion campaign targeting African-American women, including a series of billboards bearing the slogan “The most dangerous place for an African-American child is in the womb”, is just one example of political "discourse" that is both infuriating and confounding. Discourse with these features – problematic intelligibility, disinterest in the truth, and inflammatory rhetoric – has become increasingly common in politics, the (...) press, and even the arguments made by ordinary folk. It is often criticized for its falsehood or its hurtfulness; however, these critiques tend to miss its pernicious potential. This essay characterizes this insidious discourse as purposeful nonsense. Part of the way that purposeful nonsense functions, we argue, relies on taking advantage of harmful stereotypes and denigrating narratives that are already present in our culture. Purposeful nonsense both draws upon harmful ideology and fortifies it. The effect is that members of oppressed social groups are confronted with disparaging ideology, while its authors are free to deny responsibility for it. Black feminist and intersectional analysis – particularly in the discussion of race, abortion, and reproductive justice – are useful in identifying and criticizing the harmful subtext in the Radiance Foundation’s billboard campaign. The notion of purposeful nonsense serves to extend the reach of these criticisms. Purposeful nonsense – disguised as merely logically confused discourse – is a key factor in maintaining an oppressive and unjust society; however, feminist, black feminist, and intersectional analysis contextualizes purposeful nonsense, potentially disrupting its harmful influence. We conclude that purposeful nonsense employs a variation on stereotype threat, a phenomenon in which being reminded of negative stereotypes about one’s social group causes stereotypical performance failures. We suggest that the notion of stereotype threat combined with intersectional analysis offers a fruitful avenue along which research on this sort of discourse might be expanded. (shrink)