In this short paper I will introduce an idea which, I will argue, presents a fundamental additional challenge to the machine consciousness community. The idea takes the questions surrounding phenomenology, qualia and phenomenality one step further into the realm of intersubjectivity but with a twist, and the twist is this: that an agent’s intersubjective experience is deeply felt and necessarily co-affective; it is enkinaesthetic, and only through enkinaesthetic awareness can we establish the affective enfolding which enables first the perturbation, and (...) then the balance and counter-balance, the attunement and co-ordination of whole-body interaction through reciprocal adaptation. (shrink)

My aim in this paper is to go some way towards showing that the maintenance of hard and fast dichotomies, like those between mind and body, and the real and the virtual, is untenable, and that technological advance cannot occur with being cognisant of its reciprocal ethical implications. In their place I will present a softer enactivist ontology through which I examine the nature of our engagement with technology in general and with virtual realities in particular. This softer ontology is (...) one to which I will commit Kant, and from which, I will show, certain critical moral and emotional consequences arise. It is my contention that Kant’s logical subject is necessarily embedded in the world and that Kant, himself, would be content with this view as an expression of his inspired response to the ‘‘scandal to philosophy... that the existence of things outside us... must be accepted merely on faith’’ [Bxl]. In keeping with his arguments for the a priori framing of intuition, the a priori structuring of experience through the spontaneous application of the categories, the synthesis of the experiential manifold, and the necessity of a unity of apperception, I will present an enactivist account of agency in the world, and argue that it is our embodied and embedded kinaesthetic engagement in our world which makes possible the syntheses of apprehension, reproduction and recognition, and which, in turn, make possible the activity of the reproductive or creative imagination. (shrink)

Social participation requires certain abilities: communication with other members of society; social understanding which enables planning ahead and dealing with novel circumstances; and a theory of mind which makes it possible to anticipate the mental state of another. In childhood play we learn how to pretend, how to put ourselves in the minds of others, how to imagine what others are thinking and how to attribute false beliefs to them. Without this ability we would be unable to deceive and detect (...) deception in the actions of others, and our ability to interact within our social group would be greatly impaired. In this paper I claim that the capacity for deception is necessary for a theory of mind, and a theory of mind is necessary for complex social interaction. (shrink)

This book is an invitation to academic administrators, at every level, to engage in reflection on the ethical dimensions of their working lives.

In *Engaging Capital Emotions,* Douglas Berman and Stephanos Bibas argue that emotion is central to understanding and evaluating the death penalty, and that the emotional case for the death penalty for child rape may be even stronger than for adult murder. Both the Berman and Bibas article and the subsequent Supreme Court decision in Kennedy v. Louisiana (striking down the death penalty for child rape) raise difficult questions about how to measure the heinousness of crimes other than murder, and about (...) the role the pain suffered by victims and victims' families should play in this inquiry. In this Reply, I agree with the authors on the importance of confronting emotion's role in capital punishment, for reasons I discuss in Part A. However, I disagree with their claim that the moral outrage evoked by child rape supports making it a capital crime. Part B explores the difficulties of using the existence of moral outrage as a measure of appropriate punishment. Part C argues that the penal system should not merely reflect moral outrage, but channel and educate it. It suggests that the availability of the death penalty may create an anchoring effect, communicating the message that the death penalty is the proper way to express moral outrage and to honor the worth of murder victims. It explores the consequences of this message. Section II focuses on the role of emotion in deciding whether child rape should be a capital crime. Part A considers the problematic role of victim harm in determining whether the death penalty is appropriate. It explores the question, raised in Kennedy v Louisiana, of whether the effect of a capital trial on child rape victims ought to be part of the calculus. Part B argues that there are three particular problems with allowing juries to sentence child rapists to death: the deleterious effect of anger and empathy, the problem of generic prejudice, and the issue of race. (shrink)

So-called “ugly laws” were mostly municipal statutes in the United States that outlawed the appearance in public of people who were, in the words of one of these laws, “diseased, maimed, mutilated, or in any way deformed, so as to be an unsightly or disgusting object” (Chicago City Code 1881). Although the moniker “ugly laws” was coined to refer collectively to such ordinances only in 1975 (Burgdorf and Burgdorf 1975), it has become the primary way to refer to such laws, (...) which targeted the overlapping categories of the poor, the homeless, vagrants, and those with visible disabilities. Enacted and actively enforced between the American Civil War (1867) and World War I (1918), such laws and their enforcement can tell us much about the very sorts of people who were also, a generation later, subject to explicitly eugenic laws, such as sterilization legislation. And like eugenic laws and policies, such laws continue to affect the lives of people with disabilities to this day (Schweik 2011). (shrink)

There are kinds of dialogue that support social justice and others that do the reverse. The kinds of dialogue that support social justice require that anger be bracketed and that hiding in safe spaces be eschewed. All illegitimate ad hominem/ad feminem attacks are ruled out from the get-go. No dialogical contribution can be down-graded on account of the communicator’s gender, race, or religion. As well, this communicative approach unapologetically privileges reason in full view of theories and strategies that might seek (...) to undermine reasoning as just another illegitimate form of power. On the more positive side, it is argued in this paper that social justice dialogue will be enhanced by a kind of “communicative upgrading,” which amplifies “person perception,” foregrounds the impersonal forces within our common social spaces rather than the “baddies” within, and orients the dialogical trajectory toward the future rather than the past. Finally, it is argued in this paper that educators have a pressing responsibility to guide their students through social justice dialogue so that their speech contributes to the amelioration of injustice, rather than rendering the terrain more treacherous. (shrink)

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)

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)

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)

This is the text of Dr. Sterrett's replies to an interviewer's questions for simplycharly.com, a website with interviews by academics on various authors, philosophers, and scientists.

The concept of similar systems arose in physics, and appears to have originated with Newton in the seventeenth century. This chapter provides a critical history of the concept of physically similar systems, the twentieth century concept into which it developed. The concept was used in the nineteenth century in various fields of engineering, theoretical physics and theoretical and experimental hydrodynamics. In 1914, it was articulated in terms of ideas developed in the eighteenth century and used in nineteenth century mathematics and (...) mechanics: equations, functions and dimensional analysis. The terminology physically similar systems was proposed for this new characterization of similar systems by the physicist Edgar Buckingham. Related work by Vaschy, Bertrand, and Riabouchinsky had appeared by then. The concept is very powerful in studying physical phenomena both theoretically and experimentally. As it is not currently part of the core curricula of STEM disciplines or philosophy of science, it is not as well known as it ought to be. (shrink)

There are kinds of dialogue that support social justice and others that do the reverse. The kinds of dialogue that supports social justice requires that anger be bracketed and that hiding in safe spaces be eschewed. All illegitimate ad hominem/ad feminem attacks are ruled out from the get-go. No dialogical contribution can be down-graded on account of the communicator’s gender, race, or religion. As well, this social justice communicative approach unapologetically privileges reason in full view of theories and strategies that (...) might seek to undermine reasoning as just another illegitimate form of power. -/- On the more positive side, we will argue that social justice dialogue will enhanced by a kind of “communicative upgrading” that amplifies “person perception,” foregrounds the impersonal forces within our common social spaces rather than the “baddies” within, and orients the dialogical trajectory toward the future rather than the past. Finally, we will argue that educators have a pressing responsibility to guide their students through social justice dialogue so that their contributions contribute to the amelioration of injustice, rather than rendering the terrain more treacherous. (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)

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)

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)

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)

Many academic works as well as many works of art are such that if they had never been produced, no one would be worse off. Yet it is hard to resist the judgment that some such works are good nonetheless. We are rightly grateful that these works were created; we rightly admire them, appreciate them, and take pains to preserve them. And the authors and artists who produced them have reason to be proud. This should lead us to question the (...) view that in order for a thing to be good, in a sense which implies that the thing merits our attention and positive concern, it needs to be good for someone or something whose welfare is enhanced by it. (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)

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)

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)

Within the cognitive science of religion, some scholars hypothesize (1) that minimally counterintuitive (MCI) concepts enjoy a transmission advantage over both intuitive and highly counterintuitive concepts, (2) that religions concern counterintuitive agents, objects, or events, and (3) that the transmission advantage of MCI concepts makes them more likely to be found in the world’s religions than other kinds of concepts. We hypothesized that the memorability of many MCI supernatural concepts was due in large part to other characteristics they possess, such (...) as their frequent and salient association with moral concerns and the alleviation of existential anxieties, and that without such characteristics they would fail to be memorable. We report the results of three experiments designed to test the relative contributions of minimal counterintuitiveness, moral valence, and existential anxiety to the memorability of supernatural ideas. We observed no main effects for minimal counterintuitiveness but did observe main effects for both moral valence and existential anxiety. We also found that these effects did not seem to stem from the greater visualizability of morally valenced concepts or concepts that concerned existential anxieties. These findings challenge important claims made by leading researchers regarding MCI concepts within the cognitive science of religion. (shrink)

Let us suppose that we accept that humans can be correctly characterized as agents. Let us further presume that this capacity contrasts with most non-human animals. Thus, since agency is what uniquely constitutes what it is to be human, it must be of supreme importance. If these claims have any merit, it would seem to follow that, if agency can be nurtured through education, then it is an overarching moral imperative that educational initiatives be undertaken to do that. In this (...) paper, it will be argued that agency can indeed be enhanced, and that the worldwide educational initiative called Philosophy for Children, and others like it, are in a unique position to do just that, and, therefore, that P4C deserves our praise and support; while denigrations of such efforts for not being “real philosophy” ought to be thoroughly renounced. (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)

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)

It is the aim of this paper to show that [the theological argument from Divine omniscience] is not more than a needlessly (and confusingly) elaborate version of the argument for fatalism discussed by Aristotle in de Interpretatione 9, which, since its sole premise is the Principle of Bivalence, may conveniently be called the logical argument for fatalism. If this is right, if the theological premisses of the theological argument can be shown to be strictly irrelevant to the fatalist conclusion, then (...) it follows that it is pointless to try to avoid fatalism by modification of those theological premisses. (shrink)

Plato’s philosophy is important to Badiou for a number of reasons, chief among which is that Badiou considered Plato to have recognised that mathematics provides the only sound or adequate basis for ontology. The mathematical basis of ontology is central to Badiou’s philosophy, and his engagement with Plato is instrumental in determining how he positions his philosophy in relation to those approaches to the philosophy of mathematics that endorse an orthodox Platonic realism, i.e. the independent existence of a realm of (...) mathematical objects. The Platonism that Badiou makes claim to bears little resemblance to this orthodoxy. Like Plato, Badiou insists on the primacy of the eternal and immu- table abstraction of the mathematico-ontological Idea; however, Badiou’s reconstructed Platonism champions the mathematics of post-Cantorian set theory, which itself af rms the irreducible multiplicity of being. Badiou in this way recon gures the Platonic notion of the relation between the one and the multiple in terms of the multiple-without-one as represented in the axiom of the void or empty set. Rather than engage with the Plato that is gured in the ontological realism of the orthodox Platonic approach to the philosophy of mathematics, Badiou is intent on characterising the Plato that responds to the demands of a post-Cantorian set theory, and he considers Plato’s philosophy to provide a response to such a challenge. In effect, Badiou reorients mathematical Platonism from an epistemological to an ontological problematic, a move that relies on the plausibility of rejecting the empiricist ontology underlying orthodox mathematical Platonism. To draw a connec- tion between these two approaches to Platonism and to determine what sets them radically apart, this paper focuses on the use that they each make of model theory to further their respective arguments. (shrink)

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)

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)

While artificial womb technology is currently being studied for the purpose of improving neonatal care, I contend that this technology ought to be pursued as a means to address the unprecedented rate of unintended pregnancies. But ectogenesis, alongside other emerging reproductive technologies, is problematic insofar as it threatens to disrupt the natural link between procreation and parenthood that is normally thought to generate rights and responsibilities for biological parents. I argue that there remains only one potentially viable account of parenthood: (...) the voluntarist account, which construes parental rights as robust moral obligations that must be voluntarily undertaken. The problem is that this account mistakenly presumes a patriarchal divide between procreation and parenthood. I propose a reframing of procreation and parenthood from a feminist perspective that recognises gestational motherhood as involving robust moral obligations that ought to be voluntarily undertaken. If this were the case, all gestational mothers would be, by definition, willing mothers. To make this happen I argue that ectogenesis technology must be a widely available reproductive option. (shrink)

The Language of Thought program has a suicidal edge. Jerry Fodor, of all people, has argued that although LOT will likely succeed in explaining modular processes, it will fail to explain the central system, a subsystem in the brain in which information from the different sense modalities is integrated, conscious deliberation occurs, and behavior is planned. A fundamental characteristic of the central system is that it is “informationally unencapsulated” -- its operations can draw from information from any cognitive domain. The (...) domain general nature of the central system is key to human reasoning; our ability to connect apparently unrelated concepts enables the creativity and flexibility of human thought, as does our ability to integrate material across sensory divides. The central system is the holy grail of cognitive science: understanding higher cognitive function is crucial to grasping how humans reach their highest intellectual achievements. But according to Fodor, the founding father of the LOT program and the related Computational Theory of Mind (CTM), the holy grail is out of reach: the central system is likely to be non-computational (Fodor 1983, 2000, 2008). Cognitive scientists working on higher cognitive function should abandon their efforts. Research should be limited to the modules, which for Fodor rest at the sensory periphery (2000).1 Cognitive scientists who work in the symbol processing tradition outside of philosophy would reject this pessimism, but ironically, within philosophy itself, this pessimistic streak has been very influential, most likely because it comes from the most well-known proponent of LOT and CTM. Indeed, pessimism about centrality has become assimilated into the mainstream conception of LOT. (Herein, I refer to a LOT that appeals to pessimism about centrality as the “standard LOT”). I imagine this makes the standard LOT unattractive to those philosophers with a more optimistic approach to what cognitive science can achieve.. (shrink)

Given that one of the major goals of the practice of Philosophy for Children (P4C) is the development of critical thinking skills (Sharp 1987/2018, pp. 4 6), an urgent question that emerged for one of the authors, who is of Chinese Heritage and a novice practitioner at a P4C summer camp was whether this emphasis on critical thinking might make this practice incompatible with the fabric of Chinese culture. Filial piety (孝), which requires respect for one’s parents, elders, and ancestors (...) is considered an important virtue in Asian culture, as is the preservation of harmony. But if one of the goals of P4C is to teach youngsters to courageously pursue reasoned dialogue, does this not set-up young Asians for serious conflict when they come face-to-face with positions that are articulated by elders, but which are ones to which they are diametrically opposed; a racist grandmother, for instance, or an uncle who insists that those at the Tiananmen Square uprising were nothing but hooligan’s. It is this question that we will explore in this presentation. In the process, we will come to the conclusion that, when positions seem irreconcilable, rather than continuing to pursue rigorous critical interchange that may do little other than escalate insult, the facilitator, rather, ought to move toward creating a deeper understanding of each position juxtaposed against its opposing view (a process that we refer to as ‘collaborative caring’), so as to produce side-by-side understanding, knowing that communal bonds have been maintained and, hence, that the opportunity for genuine reasoned collaborative inquiry on other issues and at future times remains open. (shrink)

As the English word “scientism” is currently used, it is a trivial verbal truth that scientism—an inappropriately deferential attitude to science—should be avoided. But it is a substantial question when, and why, deference to the sciences is inappropriate or exaggerated. This paper tries to answer that question by articulating “six signs of scientism”: the honorific use of “science” and its cognates; using scientific trappings purely decoratively; preoccupation with demarcation; preoccupation with “scientific method”; looking to the sciences for answers beyond their (...) scope; denying the legitimacy or worth of non-scientific (e.g., legal or literary) inquiry, or of writing poetry or making art. (shrink)

Summary Analogue models are actual physical setups used to model something else. They are especially useful when what we wish to investigate is difficult to observe or experiment upon due to size or distance in space or time: for example, if the thing we wish to investigate is too large, too far away, takes place on a time scale that is too long, does not yet exist or has ceased to exist. The range and variety of analogue models is too (...) extensive to attempt a survey. In this article, I describe and discuss several different analogue model experiments, the results of those model experiments, and the basis for constructing them and interpreting their results. Examples of analogue models for surface waves in lakes, for earthquakes and volcanoes in geophysics, and for black holes in general relativity, are described, with a focus on examining the bases for claims that these analogues are appropriate analogues of what they are used to investigate. A table showing three different kinds of bases for reasoning using analogue models is provided. Finally, it is shown how the examples in this article counter three common misconceptions about the use of analogue models in physics. (shrink)

After the 2016 election of Donald Trump, many commentators latched on to the accusations Rorty levels at the American Left in Achieving Our Country. Rorty foresaw, they claimed, that the Left's preoccupation with cultural politics and neglect of class politics would lead to the election of a "strongman" who would take advantage of and exploit a rise in populist sentiment. -/- In this paper, I generally agree with these readings of Rorty; he does think that the American Left has made (...) the mistake of putting class on the political backburner. However, I suggest that this position follows from his view that economic security is vital for solidarity. Because economic security is under increasing threat in contemporary America, so too is solidarity. If greater solidarity is a goal of liberal democracy, then class politics, aimed at ending selfishness, ought to be as much a priority for the American Left as is cultural politics, aimed at ending sadism. (shrink)

William of Ockham (d. 1347) is well known for his commitment to parsimony and for his so-called ‘razor’ principle. But little is known about attempts among his own contemporaries to deflect his use of the razor. In this paper, I explore one such attempt. In particular, I consider a clever challenge that Ockham’s younger contemporary, Walter Chatton (d. 1343) deploys against the razor. The challenge involves a kind of dilemma for Ockham. Depending on how Ockham responds to this dilemma, his (...) razor will, Chatton argues, either prove unacceptably dull when it comes to determining ontological commitment or prove unacceptably sharp when it comes to determining commitments entailed by certain theological doctrines. While Chatton’s objection is subtle and interesting in its own right, the broader significance of the debate between these thinkers lies in the light it sheds on medieval approaches to issues surrounding metaphysical methodology. (shrink)

Though Jana Mohr Lone refers to children’s striving to wonder, to question, to figure out how the world works and where they fit as the “philosophical self,” like its parent discipline, it could be argued that the philosophical self is actually the “parent self,”—the wellspring of all the other aspects of personhood that we traditionally parse out, e.g., the intellectual, moral, social, and emotional selves. If that is the case, then to be blind to “The Philosophical Child,” the latter being (...) the title of Jana Mohr Lone’s book, is, in a sense then, to be blind to the child. Thus, though Mohr Lone says that the subject of her book is to assist parents in supporting the development of children’s philosophical selves, that claim may mask the gift that this lovely book can bring to the parent-child relationship if it is interpreted as helping children to become “smarty pants” in the sense of acquiring esoteric skills to excel in the ivory-tower discipline of academic philosophy. This is not the focus of this book. This is not an invitation to learn about the history of philosophy— about what some wise, usually white, usually men said about the fundamental questions that intrigue all humans. This is not an invitation to memorize and thus to sit in awe of what others think —as is too often the case in university classrooms. This book, rather, is a guide to how to actually philosophize—how to use questions to energetically and courageously make progress toward finding answers that one, through reflection, comes to believe are the best, given the reasons and evidence available. And to the degree that we and our children are successful, we give ourselves and our children the gift of continuously learning to become ever wiser. (shrink)

On a literal reading of `Computing Machinery and Intelligence'', Alan Turing presented not one, but two, practical tests to replace the question `Can machines think?'' He presented them as equivalent. I show here that the first test described in that much-discussed paper is in fact not equivalent to the second one, which has since become known as `the Turing Test''. The two tests can yield different results; it is the first, neglected test that provides the more appropriate indication of intelligence. (...) This is because the features of intelligence upon which it relies are resourcefulness and a critical attitude to one''s habitual responses; thus the test''s applicablity is not restricted to any particular species, nor does it presume any particular capacities. This is more appropriate because the question under consideration is what would count as machine intelligence. The first test realizes a possibility that philosophers have overlooked: a test that uses a human''s linguistic performance in setting an empirical test of intelligence, but does not make behavioral similarity to that performance the criterion of intelligence. Consequently, the first test is immune to many of the philosophical criticisms on the basis of which the (so-called) `Turing Test'' has been dismissed. (shrink)

This dissertation concerns the methodology Kant employs in the first two sections of the Groundwork of the Metaphysics of Morals (Groundwork I-II) with particular attention to how the execution of the method of analysis in these sections contributes to the establishment of moral metaphysics as a science. My thesis is that Kant had a detailed strategy for the Groundwork, that this strategy and Kant’s reasons for adopting it can be ascertained from the Critique of Pure Reason (first Critique) and his (...) lectures on logic, and that understanding this strategy gains us interpretive insight into Kant’s moral metaphysics. At the most general level of methodology, Kant says there are four steps for the establishment of any science: 1) make distinct the idea of the natural unity of its material 2) determine the special content of the science 3) articulate the systematic unity of the science 4) critique the science to determine its boundaries The first two of these steps are accomplished by the genetically scholastic method of analysis, paradigmatically the method whereby confused and obscure ideas are made clear and distinct, thereby logically perfecting them and transforming them into possible grounds of cognitive insight that are potentially complete and adequate to philosophical purposes. The analysis of Groundwork I is a paradigmatic analysis that makes distinct what is contained in common understanding, i.e. its Inhalt or intension, making distinct the higher partial concepts that together define the concept of morality. The analysis of Groundwork II is an employment more specifically of the method of logical division, which makes distinct what is contained under the concept, i.e. its Umfang, by which the extension or object of morality is determined. Part I introduces Kant’s conception of moral metaphysical science and why he took it to be in need of establishment, explains the general method for establishing science and the scholastic method of analysis by which its first two steps are to be accomplished, then provides an interpretation of Groundwork I as an execution of this method. Part II details Kant’s determination of the special content of moral science in Groundwork II in relation to the central problem for moral metaphysics – how synthetic a priori practical cognition is possible. (shrink)

Hegel's most interesting and controversial claims about nonconceptual knowledge arise in contexts of value. This paper examines the relation between nonconceptual and conceptual knowledge in Hegel's Phenomenology, specifically in connection with early Greek aesthetics. I take up Hegel's claim that the ancient Greeks expressed in their myths, religious narratives, sculpture, and artistic materials certain high powered philosophical truths which they shouldn't express in words. I raise a paradox about his claims and show how his claims about ineffable knowledge clash with (...) his general propositional criterion of knowledge, namely, that for something to count as knowledge it must be expressible in words. However I argue that Hegel's thoughts about the matter were coherent and I solve the paradox. (shrink)

During the past decades, our image ofHomo neanderthalensishas changed dramatically. Initially, Neanderthals were seen as primitive brutes. Increasingly, however, Neanderthals are regarded as basically human. New discoveries and technologies have led to an avalanche of data, and as a result of that it becomes increasingly difficult to pinpoint what the difference between modern humans and Neanderthals really is. And yet, the persistent quest for a minimal difference which separates them from us is still noticeable in Neanderthal research. Neanderthal discourse is (...) a vantage point from which the logic of ‘us’ versus ‘other’ is critically reconsidered. Studying contemporary academic literature and science autobiographies from an oblique perspective, focusing not on Neanderthals as objects, but on the dynamics of interaction between Neanderthal researchers and their finds, basic convictions at work in this type of research are retrieved. What is at issue is not the actual distinction between modern humans and Neanderthals, but rather the dualistic construction of human and nonhuman. Neanderthal understanding is affected by the desire to safeguard human uniqueness. The overall trend is to identify the human mark or spark, which defines us as favoured ‘winners’. The paradoxes emerging in contemporary Neanderthal discourse are symptomatic of the fact that a dualistic style of thinking is no longer tenable. (shrink)

Philosophy has a dirty little secret and it is this: a whole lot of philosophers have swallowed the mechanistic billiard ball deterministic view of human action—presumably because philosophy assumes that science demands it, and/or because modern attempts to articulate in what free will consists seem incoherent. This below-the-surface-purely-academic commitment to mechanistic determinism is a dirty little secret because an honest public commitment would render virtually all that is taught in philosophy departments incomprehensible. Can “lovers of wisdom” really continue to tolerate (...) such a heavy burden of hypocrisy? For it is maximally hypocritical, is it not, to teach ethics, or existentialism, or political philosophy, or critical thinking, or indeed to teach anything at all if one views the bodies of humans as entities determined by forces that are describable entirely under the auspices of physical/chemical laws. The only option, it would seem, to avoid such hypocrisy is to go out of business. After all, either base metal can be turned into gold, or it cannot. We found out long ago that it cannot, and so alchemy was rightly banished into the dustbin of history. Likewise, either philosophy can enhance the wisdom quotient of its disciples as its name implies, and thus override billiard ball mechanics, or it cannot. And if it cannot, it deserves to follow alchemy to an ignominious end. (shrink)

There is a long standing controversy in education as to whether education ought to be teacher- or student- centered. Interestingly, this controversy parallels the parent- vs. child-centered theoretical swings with regard to good parenting. One obvious difference between the two poles is the mode of communication. “Authoritarian” teaching and parenting strategies focus on the need of those who have much to learn to “do as they are told,” i.e. the authority talks, the child listens. “Non-authoritarian” strategies are anchored in the (...) assumption that youngsters ought to be encouraged to develop their natural interests and talents and hence that it is important to allow the children to do the talking and that adults listen. Both strategies seemed flawed due to the absence of the inherent wisdom of its opposing view. This chasm can be overcome. The Community of Inquiry, a pedagogical method used in Philosophy for Children, demands a method of communication which is able to bridge this gap. A Community of Inquiry is neither teacher-centered and controlled nor student-centered and controlled, but centered on and controlled by the demands of truth. Truth is absolutely essential to this method; it is only because of progress toward truth that participants are ultimately convinced of the fruitfulness of the process. Truth, however, is a hard taskmaster; it places severe restrictions on participants and puts exacting demands on the facilitator. These inherent restrictions and demands are too often underplayed, overlooked and sometimes seemingly overtly denied by those who, quite correctly emphasize that ultimately this method depends on maintenance and enhancement of student autonomy. This underrating of the role of the facilitator has led to a severe undervaluing of this otherwise brilliant pedagogical method, but worse, it has left novice teacher/facilitators ill prepared to utilize this method successfully. (shrink)

Dedication: I would like to dedicate this essay to Mort Morehouse, whose intelligence, warmth, and good humour sustains NAACI to this day. I would like, too, to dedicate this essay to Nadia Kennedy who, in her paper “Respecting the Complexity of CI,” suggests that respect for the rich non-reductive emergent memories and understandings that evolve out of participating in the sort of complex communicative interactions that we experienced at the 2012 NAACI conference requires “a turning around and looking back so (...) that we might understand it better.” Thus, though “we cannot grasp the essence of the system in some determinate way, since each description provides a limited view, and portrays some aspect of the system from a specific position inside or outside it, and at a specific point in time,” nonetheless respect requires that we try “to take different ‘snapshots’ of such systems and attempt to make sense of them.” It is as a result of this urging that the following snapshot was attempted. My thanks to Nadia for being such an inspiration, and to all the participants for making this conference such a memorable occasion. (shrink)

The tragedy of the commons is a primary contributing factor in ensuring that humanity makes no serious inroads in averting climate change. As a recent Canadian politician pointed out, we could shut down the Canadian economy tomorrow, and it would make no measurable difference in global greenhouse gas emissions. When coordinated effort is required, it would seem that doing the “right thing” alone is irrational: it will harm oneself with no positive consequences as a result. Such is the tragedy. And (...) that is the challenge that we take up here. Though Garrett Hardin suggests that the solution is a governmental process that rules over all contenders, since a world government seems unlikely before the planet hits the tippy point, we suggest an educational initiative instead: one that holds a mirror up to the behaviour of individuals, rather than to the behaviour of individuals in groups. Such an educational initiative would be focused on priming individuals to keep constant track of what they do as individuals as opposed to focusing on the behaviour of humanity in general. Such an educational initiative would focus on tackling the “problem solvers” rather than just “the problem”. (shrink)

In this paper, I explore Augustine’s account of sense cognition in book 11 of De Trinitate. His discussion in this context focuses on two types of sensory state—what he calls “outer vision” and “inner vision,” respectively. His analysis of both types of state is designed to show that cognitive acts involving external and internal sense faculties are susceptible of a kind of trinitarian analysis. A common way to read De Trin. 11, is to interpret Augustine’s account of “outer” vision as (...) an analysis of sense perception and his account “inner” vision as an analysis of occurrent sensory memory and imagination. I argue against such a reading of De Trin. 11, however. Insofar as we take perception to be a phenomenally conscious mode of sensory awareness, outer vision cannot, I claim, be the equivalent of ordinary sense perception. For, on Augustine’s view, the deliverances of outer vision only reach the threshold of consciousness, when outer vision occurs in conjunction with inner vision. Hence, on my analysis, sense perception turns out to be a complex, hybrid state—one that involves both outer and inner vision. If I am right, acts of sense perception turn out not to be directly susceptible to trinitarian analysis. Even so, the account is interesting and nuanced for all that. (shrink)