Sexual difference as a basis of equality : an introduction to Irigarayan politics -- Irigaray on language : from the speech of dementia to the problem of sexual indifference -- Rethinking the politics of recognition : the declaration of Irigarayan sexuate rights -- Irigarayan performativity : is this a question of can saying it make it so? -- Sexuate genre : ethics and politics for improper selves -- Anticipating sexual difference : mediation, love, and divinity -- Interrogating an unasked question (...) : is there sexual difference? -- The impossible friend : traversing the heterosocial, the homosocial, and the successes of failure -- Sexed discourse and the language of the philosophers : to be two -- Effacement redoubled? : between the Orient and the Occident. (shrink)

I discuss a thesis that I call ‘The Appearance of Mind-Independence’, to the effect that, to the subject of an ordinary perceptual experience, it seems that the experience involves the awareness of a mind-independent world. Although this thesis appears to be very widely accepted, I argue that it is open to serious challenge. Whether such a challenge can be maintained is especially relevant to the assessment of any theory, such as Berkeley’s idealism, according to which the only objects of which (...) we are aware in perception are mind-dependent. But the issue is of significance for the philosophy of perception more generally. In the course of my sceptical discussion, I argue that recent work by Campbell and Cassam may be flawed by a failure to take sufficiently seriously the requirements for genuine mind-independence. (shrink)

We adopt and extend the concept of ‘noncooperative space’ to analyze how (aspirant) black women intellectual activists attempt to sustain their efforts within settings that publicly endorse racial equality, while, in practice, the contexts remain deeply racist. Noncooperative spaces reflect institutional, organizational, and social environments portrayed by powerful white agents as conducive to anti-racism work and promoting racial equality but, indeed, constrain individuals who challenge racism. Our work, which is grounded in intersectionality, draws on an autoethnographic account of racially motivated (...) domestic violence suffered by our lead author. Our analysis suggests that (aspirant) black women intellectual activists must develop courage to sustain their ‘voice’ within noncooperative spaces. However, the three interlinked dimensions of noncooperative spaces—namely, deceiving design, hegemonic actors’ indifference to racism, and (some assimilated gatekeepers’) false equivalence—may gradually erode a black female scholar’s courage. This forces her ‘voice’ to vanish temporarily, or even permanently. Courage is thus fragile and depletable. Yet, courage can be regenerated, resulting in regaining voice. Consequently, we propose courageous collective action by white allies and black and brown individuals who voluntarily and officially cooperate within and across various spaces to achieve racial equality. (shrink)

Penelope Deutscher reconsiders the role of procreation in Foucault's thought, especially its proximity to risk, mortality, and death. Foucault's Futures brings together his work on sexuality and biopolitics to provide new insights into the conflicted political status of reproductive conduct and what it means for feminism and critical theory.

Mathematicians tend to think of themselves as scientists investigating the features of real mathematical things, and the wildly successful application of mathematics in the physical sciences reinforces this picture of mathematics as an objective study. For philosophers, however, this realism about mathematics raises serious questions: What are mathematical things? Where are they? How do we know about them? Offering a scrupulously fair treatment of both mathematical and philosophical concerns, Penelope Maddy here delineates and defends a novel version of mathematical (...) realism. She answers the traditional questions and poses a challenging new one, refocusing philosophical attention on the pressing foundational issues of contemporary mathematics. (shrink)

Traditional accounts of the feminist history of philosophy have viewed reason as associated with masculinity and subsequent debates have been framed by this assumption. Yet recent debates in deconstruction have shown that gender has never been a stable matter. In the history of philosophy 'female' and 'woman' are full of ambiguity. What does deconstruction have to offer feminist criticism of the history of philosophy? _Yielding Gender_ explores this question by examining three crucial areas; the issue of gender as 'troubled'; deconstruction; (...) and feminist criticism of the history of philosophy. The first part of the book discusses the work of Judith Butler, Jacques Derrida, and contemporary French feminist philosophy including key figures such as Luce Irigiray. Particular attention is given to the possibilities offered by deconstruction for understanding the history of philosophy. The second part considers and then challenges feminist interpretations of some key figures in the history of philosophy. Penelope Deutscher sketches how Rousseau, St. Augustine and Simone de Beauvoir have described gender and argues that their readings of gender are in fact empowered by gender's own contradiction and instability rather than limited by it. (shrink)

Naturalism in Mathematics investigates how the most fundamental assumptions of mathematics can be justified. One prevalent philosophical approach to the problem--realism--is examined and rejected in favor of another approach--naturalism. Penelope Maddy defines this naturalism, explains the motivation for it, and shows how it can be successfully applied in set theory. Her clear, original treatment of this fundamental issue is informed by current work in both philosophy and mathematics, and will be accessible and enlightening to readers from both disciplines.

Professor Deutscher studies Beauvoir's philosophy on "otherness" not just through her famous views on gender (in her celebrated 1949 work The...

Sleep enhances integration across multiple stimuli, abstraction of general rules, insight into hidden solutions and false memory formation. Newly learned information is better assimilated if compatible with an existing cognitive framework or schema. This article proposes a mechanism by which the reactivation of newly learned memories during sleep could actively underpin both schema formation and the addition of new knowledge to existing schemata. Under this model, the overlapping replay of related memories selectively strengthens shared elements. Repeated reactivation of memories in (...) different combinations progressively builds schematic representations of the relationships between stimuli. We argue that this selective strengthening forms the basis of cognitive abstraction, and explain how it facilitates insight and false memory formation. (shrink)

Mathematics depends on proofs, and proofs must begin somewhere, from some fundamental assumptions. For nearly a century, the axioms of set theory have played this role, so the question of how these axioms are properly judged takes on a central importance. Approaching the question from a broadly naturalistic or second-philosophical point of view, Defending the Axioms isolates the appropriate methods for such evaluations and investigates the ontological and epistemological backdrop that makes them appropriate. In the end, a new account of (...) the objectivity of mathematics emerges, one refreshingly free of metaphysical commitments. (shrink)

The work of the distinguished philosopher Sarah Kofman has, since her tragic death in 1994, become a focus for many scholars interested in contemporary French philosophy. The first critical collection on her thought to appear in English, Enigmas evaluates Kofman's most important contributions to philosophy, psychoanalytic theory, feminism, and literary theory. These insightful essays range from analyses of Kofman's first book, L'Enfance de l'art, to her last, L'Imposture de la beauté. This unique volume represents the major themes in Kofman's scholarship: (...) literature and aesthetics; philosophy and metaphor; women, feminism, and psychoanalysis; and Jews and German nationalism. Selected essays explore and diagnose Kofman's personal struggles as they are reflected in her writing. (shrink)

Many philosophers claim to be naturalists, but there is no common understanding of what naturalism is. Maddy proposes an austere form of naturalism called 'Second Philosophy', using the persona of an idealized inquirer, and she puts this method into practice in illuminating reflections on logical truth, philosophy of mathematics, and metaphysics.

Does V = L? Is the Axiom of Constructibility true? Most people with an opinion would answer no. But on what grounds? Despite the near unanimity with which V = L is declared false, the literature reveals no clear consensus on what counts as evidence against the hypothesis and no detailed analysis of why the facts of the sort cited constitute evidence one way or another. Unable to produce a well-developed argument one way or the other, some observers despair, retreating (...) to unattractive fall-back positions, e.g., that the decision on whether or not V = L is a matter of personal aesthetics. I would prefer to avoid such conclusions, if possible. If we are to believe that L is not V, as so many would urge, then there ought to be good reasons for this belief, reasons that can be stated clearly and subjected to rational evaluation. Though no complete argument has been presented, the literature does contain a number of varied argument fragments, and it is worth asking whether some of these might be developed into a persuasive case.One particularly simple approach would be to note that the existence of a measurable cardinal implies that V ≠ L,1and to argue that there is a measurable cardinal. The drawback to this approach is that its implying V ≠ L cannot then be counted as evidence in favor of MC, as it often is. Indeed, there seems to have been considerable sentiment against V = L even before the proof of its negation from MC,2and this sentiment must either be accounted for as reasonable or explained away as an aberration of some kind. (shrink)

The mature Wittgenstein's groundbreaking analyses of sense and the logical must—and the powerful new method that made them possible—were the result of a multi‐year process of writing, re‐arranging, re‐writing and one large‐scale revision that eventually produced the Philosophical Investigations and RFM I. In contrast, his struggles during the same period with questions of arithmetic and higher mathematics remained largely in first‐draft form, and he drops the topic entirely after 1945. In this paper, I argue that Wittgenstein's new method can be (...) applied to the cases of arithmetic and set theory and that the result is innovative, recognizably Wittgensteinian, and independently appealing. I conclude by acknowledging the reasons Wittgenstein himself might have had to resist applying his own proven method to the case of mathematics—particularly to set theory—and by indicating why I think those reasons are ultimately unsound. (shrink)

What is the modal significance of sortal concepts? It is generally accepted that sortal concepts provide persistence conditions with modal implications that are de re, and not merely de dicto. I do not think that this important assumption has received the scrutiny that it deserves. In this paper, I examine the contrast between a ‘pure de dicto’ theory of the persistence conditions associated with sortal concepts and a variety of de re theories, both essentialist and non-essentialist. I conclude that although (...) there is a defensible argument against the pure de dicto theory, it has two interesting implications. First, the argument lends no support to an essentialist version of the de re theory. Secondly, it appears to support the rejection of the pure de dicto theory only by a theorist who is also a pluralist about coincidence. Hence it appears to provide no justification for the rejection of the pure de dicto theory on the part of a contingent identity theorist. (shrink)

What is the modal significance of sortal concepts? It is generally accepted that sortal concepts provide persistence conditions with modal implications that are de re, and not merely de dicto. I do not think that this important assumption has received the scrutiny that it deserves. In this paper, I examine the contrast between a ‘pure de dicto’ theory of the persistence conditions associated with sortal concepts and a variety of de re theories, both essentialist and non-essentialist. I conclude that although (...) there is a defensible argument against the pure de dicto theory, it has two interesting implications. First, the argument lends no support to an essentialist version of the de re theory. Secondly, it appears to support the rejection of the pure de dicto theory only by a theorist who is also a pluralist about coincidence. Hence it appears to provide no justification for the rejection of the pure de dicto theory on the part of a contingent identity theorist. (shrink)

Mathematical axioms have traditionally been thought of as obvious or self-evident truths, but current set theoretic work in the search for new axioms belies this conception. This raises epistemological questions about what other forms of justification are possible, and how they should be judged.

“I can’t read. Show me” is a student’s cry heard by teachers of the arts in all kinds of classes. Demonstrating a particular process one on one is a very effective way to learn, but sometimes teachers need a way for students to take notes or follow a guide to aid in remembering a complex technique. Notation systems have developed as the educational solution to this need.1 Adela Bay, a private piano teacher, relates in her book’s dedication the reason she (...) developed a notation system for her music students, saying they were “intimidated by traditional music instruction.”2 In the arts, written notations are available from places and times that most people cannot visit in order to learn a particular technique.3 .. (shrink)

My goal here is to explore the relationship between pure and applied mathematics and then, eventually, to draw a few morals for both. In particular, I hope to show that this relationship has not been static, that the historical rise of pure mathematics has coincided with a gradual shift in our understanding of how mathematics works in application to the world. In some circles today, it is held that historical developments of this sort simply represent changes in fashion, or in (...) social arrangements, governments, power structures, or some such thing, but I resist the full force of this way of thinking, clinging to the old school notion that we have gradually learned more about the world over time, that our opinions on these matters have improved, and that seeing how we reached the point we now occupy may help us avoid falling back into old philosophies that are now no longer viable. In that spirit, it seems to me that once we focus on the general question of how mathematics relates to science, one observation is immediate: the march of the centuries has produced an amusing reversal of philosophical fortunes. Let me begin there. In the beginning, that is, in Plato, mathematical knowledge was sharply distinguished from ordinary perceptual belief about the world. According to Plato’s metaphysics, mathematics is the study of eternal and unchanging abstract Forms,1 while science is uncertain and changeable opinion about the world of mere becoming. Indeed, in Plato’s lights, of the two, only mathematics deserves to be called ‘knowledge’ at all! Of course if sense perception cannot give us knowledge, if mathematics is not about perceivable things, then Plato owes us an account of how we ordinary humans achieve this wonderful insight into the properties of the abstract world of Forms. Plato’s answer is that we do not actually acquire mathematical knowledge at all; rather, we recollect it from a time before birth, when our souls, unencumbered by physical bodies, were free to commune with the Forms, and not just the mathematical ones, either – also Truth, Beauty, Justice, the Good, and so on.2 Whatever appeal this position may have held for the ancient Greeks, it will not begin to satisfy a contemporary, scientifically minded philosopher.. (shrink)

A novel treatment of an issue central to much current work in metaphysics: the distinction between the essential and accidental properties of individuals. Mackie challenges widely held views, and arrives at what she calls "minimalist essentialism," an unorthodox theory according to which ordinary individuals have relatively few interesting essential properties. Mackie's clear and accessible discussions of issues surrounding necessity and essentialism mean that the book will appeal as much to graduate students as it will to seasoned metaphysicians.

It’s often said that set theory provides a foundation for classical mathematics because every classical mathematical object can be modeled as a set and every classical mathematical theorem can be proved from the axioms of set theory. This is obviously a remarkable mathematical fact, but it isn’t obvious what makes it ‘foundational’. This paper begins with a taxonomy of the jobs set theory does that might reasonably be regarded as foundational. It then moves on to category-theoretic and univalent foundations, exploring (...) to what extent they do these same jobs, and to what extent they might do other jobs also reasonably regarded as foundational. (shrink)

My aim in this paper is to propose what seems to me a distinctive approach to set theoretic methodology. By ‘methodology’ I mean the study of the actual methods used by practitioners, the study of how these methods might be justified or reformed or extended. So, for example, when the intuitionist's philosophical analysis recommends a wholesale revision of the methods of proof used in classical mathematics, this is a piece of reformist methodology. In contrast with the intuitionist, I will focus (...) more narrowly on the methods of contemporary set theory, and, more importantly, I will certainly recommend no sweeping reforms. Rather, I begin from the assumption that the methodologist's job is to account for set theory as it is practiced, not as some philosophy would have it be. This credo lies at the very heart of the so-called ‘naturalism’ to be described here.A philosopher looking at set theoretic practice from the outside, so to speak, might notice any number of interesting methodological questions, beginning with the intuitionist's ‘why use classical logic?’, but this sort of question is not a live issue for most practicing set theorists. One central question on which the philosopher's and the practitioner's interests converge is this: what is the status of independent statements like the continuum hypothesis (CH)? A number of large questions arise in its wake: what criteria should guide the search for new axioms? For that matter, what reasons support our adoption of the old axioms? (shrink)

The Logical Must is an examination of Wittgenstein's philosophy of logic, early and late, from an austere naturalistic perspective called "Second Philosophy.".

In several writings, John Martin Fischer has argued that those who deny a principle about abilities that he calls ‘the Fixity of the Past’ are committed to absurd conclusions concerning practical reasoning. I argue that Fischer’s ‘practical rationality’ argument does not succeed. First, Fischer’s argument may be vulnerable to the charge that it relies on an equivocation concerning the notion of an ‘accessible’ possible world. Secondly, even if Fischer’s argument can be absolved of that charge, I maintain that it can (...) be defeated by appeal to an independently plausible principle about practical reasoning that I call ‘the Knowledge Principle’. In addition, I point out that Fischer’s own presentation of his argument is flawed by the fact that the principle that he labels ‘the Fixity of the Past’ does not, in fact, succeed in representing the intuitive idea that it is intended to capture. Instead, the debate should be recast in terms of a different principle, which I call ‘the Principle of Past-Limited Abilities’. The principal contribution of my paper is thus twofold: to clarify the terms of the debate about the fixity of the past, and to undermine Fischer’s ‘practical rationality’ argument for the fixity of the past. (shrink)

The human microbiome has become one of the dominant biomedical frameworks of the contemporary moment that may be understood to be post-Pasteurian. The recognitions the human microbiome opens up for thinking about the biological self and the individual have ontological and epistemological ramifications for considering what and who the human being is. As this article illustrates, the microbiopolitics of the human microbiome challenges the immunitarian Pasteurian model in which the organismic self shores itself up and defends itself against a microbial (...) non-self or other. Instead, this theory presents the human organism as comprised of multiple ecosystems and as a multitude, suggesting that the thanatopolitical attempts to wipe out microbial others (evident in the overuse and misuse of antibiotics, for example) are giving way to an affirmative microbiopolitics grounded in generative multispecies relationality. This article sets out to make the case for this affirmative microbiopolitics. (shrink)

Available from UMI in association with The British Library. Requires signed TDF. ;The main part of the thesis concerns how things, in the sense of individuals, might have been. The topic is what limits there are on the counterfactual possibilities for individuals: in other words, what essential properties, if any, they have. ;In Chapters 3-6 three answers to this question that have been given in recent philosophical literature are examined. They are: that each thing has a unique individual essence ; (...) that there are features of the origin of an individual without which it could not possibly have existed ; and, finally, that there are sortal concepts that represent essential properties of the things that fall under them . ;All of these answers, and many of the arguments that have been given for them, are criticised. Sometimes the criticism takes the form of pointing to unpalatable consequences that result from the acceptance of the doctrine in question. Sometimes the criticism consists in pointing to difficulties or inadequacies in the arguments that have been presented in its favour. ;A preliminary chapter prepares the ground by setting out the conceptual framework, and the chief formal characteristics, of the essentialism discussed in the later chapters. Chapter 2 discusses the nature of necessary a posteriori truth, touching on questions in the philosophy of language and mind concerning the notion of de re thought. ;It is argued that essentialism about natural kinds raises problems of its own: some of these are discussed in Chapters 7 and 8. Here the main topic is the connection between semantic theory and natural kind essentialism. Concluding that the essentialism should be regarded as in an important sense independent of semantic theory, the chapters add to, and also criticise, the work of other writers who have reached the same verdict. Scepticism is also expressed about the independent plausibility of natural kind essentialism. ;Recent interest in essentialism owes its genesis chiefly to the work of Saul Kripke and Hilary Putnam: these figures stand in the background throughout the discussion. Among the other writers whose work is discussed are Baruch Brody, Gareth Evans, Graeme Forbes, Colin McGinn, J. L. Mackie, D. H. Mellor, Nathan Salmon, and David Wiggins. (shrink)

This chapter compares and contrasts Quine’s naturalism with the versions of two post-Quineans on the nature of science, logic, and mathematics. The role of indispensability in the philosophy of mathematics is treated in detail.

What Do Philosophers Do? takes up the leading arguments for radical skepticism from an everyday point of view. A range of philosophical methods are examined and employed, for a revealing portrait of what philosophers do, and perhaps a quiet suggestion for what they should do, for what they do best.

Non-suicidal self-injury is a complex behaviour, routinely engaged for emotion regulatory purposes. As such, a number of theoretical accounts regarding the aetiology and maintenance of NSSI are grounded in models of emotion regulation; the role that cognition plays in the behaviour is less well known. In this paper, we summarise four models of emotion regulation that have repeatedly been related to NSSI and identify the core components across them. We then draw on social cognitive theory to unite models of cognition (...) and models of emotion in developing a new cognitive-emotional model of NSSI. Our model articulates how emotion regulation and cognition can work in concert to govern NSSI, and offers several new research questions that can be addressed within this framework. (shrink)