The purpose of this article is to explore the extent to which mathematics is subject to open texture and the extent to which mathematics resists open texture. The resistance is tied to the importance of proof and, in particular, rigor, in mathematics.

Supported decision-making has been promoted at a policy level and within international human rights treaties as a way of ensuring that people with disabilities enjoy the right to legal capacity on an equal basis with others. However, little is known about the practical issues associated with implementing supported decision-making, particularly in the context of dementia. This study aimed to understand the experiences of people with dementia and their family members with respect to decision-making and their views on supported decision-making. Thirty-six (...) interviews were undertaken with fifty-seven participants across three states in Australia. Interpretative Phenomenological Analysis was used as the methodological approach, with relational autonomy as a theoretical perspective. We identified two overarching themes relating to participants’ experiences with decision-making: “the person in relationship over time” and “maintaining involvement.” Participant views on the practical issues associated with supported decision-making are addressed under the themes of “facilitating decision-making,” “supported decision-making arrangements,” “constraints on decision-making,” and “safeguarding decision-making.” While participants endorsed the principles of supported decision-making as part of their overarching strategy of “maintaining involvement” in decision-making, they recognized that progressive cognitive impairment meant that there was an inevitable transition toward greater involvement of, and reliance upon, others in decision-making. Social and contextual “constraints on decision-making” also impacted on the ability of people with dementia to maintain involvement. These themes inform our proposal for a “spectrum approach” to decision-making involvement among people living with dementia, along with recommendations for policy and practice to assist in the implementation of supported decision-making within this population. (shrink)

As introduction to the special issue on the semantics of cardinals, we offer some background on the relevant literature, and an overview of the contributions to this volume. Most of these papers were presented in earlier form at an interdisciplinary workshop on the topic at The Ohio State University, and the contributions to this issue reflect that interdisciplinary character: the authors represent both fields in the title of this journal.

This book returns the reader to an agenda for addressing equity in schools, emphasizing the need to reexamine past reform efforts and the work ahead for educational leaders in reshaping schools and schooling.

In lieu of an abstract, here is a brief excerpt of the content:70 HUME'S LETTER TO STEWART A Note on a Paper by D. C. Stove In a recent paper, D. C. Stove raises an historical problem. There exists a letter, written in 1754 by Hume to John Stewart, then Professor of Natural Philosophy at Edinburgh, in which the following words occur:. „. J never asserted so absurd a Proposition, as that any thing might arise without a Cause: (...) I only maintained, that our Certainty of the Falsehood of that Proposition proceeded neither from Intuition nor Demonstration; but from another Source. Some commentators, most notably Norman Kemp-Smith, take this as telling strongly in favour of a non-sceptical reading of Hume. Stove undertakes to show beyond reasonable doubt that the claim made in the letter is in blatant contradiction with central theses of Hume's published philosophy, so that it has to be regarded as useless as evidence for the interpretation of the latter. There is a mystery as to how Hume came to say something so clearly false about what he himself had written; Stove offers certain conjectures, none of which he finds wholly satisfactory. As the conclusion of the first, exegetical, part of his article, Stove advances the thesis that Hume held the falsity of the Causal Principle to be possible in at least three senses of "possible". These senses he specifies accurately, but doesn't wish to rest anything on the detail of his specification of the third; it is important only that it be stronger than either of the preceding two. This done, he takes a look at the letter to Stewart, and says, with reference to the first part of the 71 passage quoted above: That something might begin to exist without a cause, is evidently equivalent to the proposition that it is possib Ie for something to begin to exist without a cause. That, in turn, is evidently equivalent to the proposition that the falsity of the Causal Principle is possible. (Stove's o underlining). It follows that what Hume says in the letter is simply false. It could be true only if the "might" referred to some sense of possibility even weaker than the weakest of Stove's three senses. But since that is mere self-consistency, there is no such sense. Now the argument to the contradiction relies on reading "might" as "it is possible", in some sense of those words. Stove says, as we have seen, that they are "evidently equivalent", but the equivalence is certainly not evident, and it may well be asked whether it exists at all. After all, there are English constructions with "might" which don't have modal force: "Do you think something might have happened to them without our knowing about it?" The hearer is not, of course, being asked whether it- is possible that something should have happened without their knowledge; he is being asked for his opinion on whether something actually has so happened. "Most unlikely", would be a perfectly natural and acceptable response. Again : "ïou stay here, to take care of any problem that might arise before we get back". Obviously it is not intended that the hearer should start taking precautions against all possibilities, only that he should cope with whatever actually arises, if anything. 72 This is quite normal modern usage, and I know no reason to think that it wasn't also norT.il usage in the 18th Century. Admittedly, it isn't modern philocophers ' usage - we would be very careful, in writing or; logical matters, not to use the word "might" unless it was definitely the modal proposition that we had in mind, but earlier times haven't always been so professional about their vocabulary. Certainly, if Hume, in the letter to Stewart, was denying that he had ever asserted the possibility of the falsehood of the Causal Principle it would be, as Stove shows, extremely hard to see what he could have been thinking of. But if what he meant could have been as well expressed by "I never asserted... that anything arises without a cause" then most of Stove's problems are over, for there is no 3 conflict with any of the theses (1) - (3) which he... (shrink)

Presents a plethora of approaches to developing human potential in areas not conventionally addressed. Organized in two parts, this international collection of essays provides viable educational alternatives to those currently holding sway in an era of high-stakes accountability.

Some authors have claimed that ante rem structuralism has problems with structures that have indiscernible places. In response, I argue that there is no requirement that mathematical objects be individuated in a non-trivial way. Metaphysical principles and intuitions to the contrary do not stand up to ordinary mathematical practice, which presupposes an identity relation that, in a sense, cannot be defined. In complex analysis, the two square roots of –1 are indiscernible: anything true of one of them is true of (...) the other. I suggest that ‘i’ functions like a parameter in natural deduction systems. I gave an early version of this paper at a workshop on structuralism in mathematics and science, held in the Autumn of 2006, at Bristol University. Thanks to the organizers, particularly Hannes Leitgeb, James Ladyman, and Øystein Linnebo, to my commentator Richard Pettigrew, and to the audience there. The paper also benefited considerably from a preliminary session at the Arché Research Centre at the University of St Andrews. I am indebted to my colleagues Craige Roberts, for help with the linguistics literature, and Ben Caplan and Gabriel Uzquiano, for help with the metaphysics. Thanks also to Hannes Leitgeb and Jeffrey Ketland for reading an earlier version of the manuscript and making helpful suggestions. I also benefited from conversations with Richard Heck, John Mayberry, Kevin Scharp, and Jason Stanley. CiteULike Connotea Del.icio.us What's this? (shrink)

Just about every theorist holds that vague terms are context-sensitive to some extent. What counts as ?tall?, ?rich?, and ?bald? depends on the ambient comparison class, paradigm cases, and/or the like. To take a stock example, a given person might be tall with respect to European entrepreneurs and downright short with respect to professional basketball players. It is also generally agreed that vagueness remains even after comparison class, paradigm cases, etc. are fixed, and so this context sensitivity does not solve (...) the problems with vague terms. In this paper, I briefly sketch the main features of my broadly contextualist account of vagueness, that of the late Ruth Manor, and that of Agustín Rayo, showing how the three accounts relate to, and reinforce, each other, noting a seeming difference. A key item used to articulate my own view is David Lewis's notion of conversational score. This is used to track which borderline cases have been called in the course of a conversation. Manor alludes to Lewis's notion of accommodation, a key aspect of the kinematics of conversation, and Rayo invokes Stalnaker's notion of common ground. I'll show how the conversational score could be employed to develop and extend their views, showing how vague terms, as they construe them, are (or can be) deployed in conversation, consistent with both the underlying indeterminacy of the terms and normal communicative goals. To help develop all three views further, I invoke Craige Roberts's notion of Retrievability, a tool developed to show how definites, such as definite descriptions, singular pronouns, and proper names, are deployed in conversation, in a Lewis-style scorekeeping framework. This, I think, is exactly the right way to understand conversations in what Manor calls non-sorities situations and, to invoke my own view, in sorites situations as well. (shrink)

A review of Robert. B. Stewart's edited volume concerning a discussion between William Dembski and Michael Ruse. Further contributions are included from William Lane Craig and others.

Harry C. Boyte. Craig Calhoun. Geoff Eley. Nancy Fraser. Nicholas Garnham. JürgenHabermas. Peter Hohendahl. Lloyd Kramer. Benjamin Lee. Thomas McCarthy. Moishe Postone. Mary P.Ryan. Michael Schudson. Michael Warner. David Zaret.

Given his view that the modern world is ‘radically evil’, Adorno is an unlikely contributor to business ethics. Despite this, we argue that his work has a number of provocative implications for the field that warrant wider attention. Adorno regards our social world as damaged, unfree, and false and we draw on this critique to outline why the achievement of good work is so rare in contemporary society, focusing in particular on the ethical demands of roles and the ideological nature (...) of management’s self-understanding. Nevertheless, we show that Adorno’s comments on activities such as art and philosophy mean that it is possible to draw on his work in a way that contributes constructively to the conversation about good and meaningful work within business ethics. (shrink)

This paper aims to demonstrate the contemporary relevance of Adorno’s thought for business ethicists working in the critical tradition by showing how his critique of modern social life anticipated, and offers continuing illumination of, recent technological transformations of capitalism. It develops and extrapolates Adorno’s thought regarding three central spheres of modern society, which have seen radical changes in light of recent technological developments: work, in which employee monitoring has become ever more sophisticated and intrusive; leisure consumption, in which the algorithmic (...) developments of the culture industry have paved the way for entertainment products to dominate us; and political discourse, in which social media has exacerbated the anti-democratic tendencies Adorno warned of in the mid-twentieth century. We conclude by presenting, as a rejoinder to these developments, the contours of an Adornian ethics of resistance to the reification and dehumanisation of such developments. (shrink)

This chapter provides broad coverage of the notion of logical consequence, exploring its modal, semantic, and epistemic aspects. It develops the contrast between proof-theoretic notion of consequence, in terms of deduction, and a model-theoretic approach, in terms of truth-conditions. The main purpose is to relate the formal, technical work in logic to the philosophical concepts that underlie reasoning.

ABSTRACTThe political is changing its shape. Ideologies are no longer stable, but instead build hybrid combinations. Populism is getting popular. In addition, there are new forms of political exper...

This study experimentally tests the contributions of specific appraisals, considered at both molecular (appraisal components) and molar (core relational themes) levels of analysis, to the experience of four emotions (anger, guilt, fear/anxiety, and sadness) using a two-stage directed imagery task. In Stage 1, subjects imagined themselves in scenarios designed to evoke appraisals hypothesised to produce either anger or sadness. In Stage 2, the scenarios unfolded in time to produce a second manipulation designed to systematically evoke the appraisals hypothesised to produce (...) each of the four emotions under study. The results provided substantial support for the theoretically specified appraisal-emotion relationships for anger, guilt, and fear/ anxiety. However, support for the predictions for sadness was weaker, partially due to ineffective manipulation of the relevant appraisals. Implications for the further development and testing of emotion theory are discussed. (shrink)

This paper attempts to show how Adorno’s thought can illuminate our reflections on the future of work. It does so by situating Adorno’s conception of genuine activity in relation to his negativist critical epistemology and his subtle account of the distinction between true and false needs. What emerges is an understanding of work that can guide our aspirations for the future of work, and one we illustrate via discussions of creative work and care work. These are types of work which (...) cater to persistent human needs, albeit ones that are distorted under present social conditions. Adorno’s thought helps us to understand why this is the case. (shrink)

Hierarchy has been a central concern of work on the modern political imaginary. The need to elucidate hierarchy’s deeper sources and its legitimations were some of the motivations behind Cornelius Castoriadis’ development of the notion of the imaginary. The work of Claude Lefort on the political imaginary similarly commences from a critical analysis of the hierarchical form of bureaucracy and its place in the constitution of totalitarian political regimes. In a different vein, Charles Taylor’s conception of the imaginary details a (...) long-term process of the erosion of preceding forms of hierarchy and their justifications. In the contemporary period, the opposition to hierarchy has penetrated organisations and institutions that had previously been shaped by it, like the family, the capitalist firm, the school, and the political movement. Despite the potentials that these initiatives suggest of a change in the political imaginary, it will be argued that forms of hierarchy have, to varying degrees, been reconstituted and that the problem of hierarchy appears in new ideological forms, both with respect to institutionalised power and the legitimating justifications for how things are organised. The critique of hierarchy was once associated with the radical democratic imaginary, however, there have recently been perverse mobilisations. (shrink)

Theodor W. Adorno was one of the twentieth century’s most potent and influential European thinkers, whose impact is felt across the humanities and social sciences. However, Adorno’s thought has been almost entirely absent from the business ethics conversation. This chapter explores the relevance of Adorno’s thought for business ethics that has emerged in recent scholarship. It does so through an engagement with topics such as positivistic management, consumer culture, social media and political discourse, and the possibility of good work, and (...) by expounding Adorno’s critical theory, the critique of the business ethics tradition implied by his work, and the debate regarding whether Adorno can be read as a ‘negative Aristotelian’. (shrink)

Despite the promise of international collaboration and sharing by bringing together bioethicists from throughout the world at the 2024 IAB conference in Qatar, I will not be attending. The authors...

In response to my critics, I argue that Peter van Inwagen, despite his protestations, is an advocate of an indispensability argument for Platonism. What remains to be shown by van Inwagen is that his version of the argument overcomes his own presumption against Platonism and survives defeat by besting every anti-Platonist alternative. While acknowledging Greg Welty’s helpful responses to my worries about divine conceptualism as a realist alternative to Platonism, I express ongoing reservations about some of those responses.

Jaakko Nevasto has offered a number of thoughtful criticisms of our attempt to show that Adorno’s work can fruitfully be brought to bear on topics in business ethics. After welcoming his constructive clarifications, we attempt to defuse Nevasto’s main objections and defend our application of Adorno, focusing in particular on the topics of moral epistemology, needs, and the possibility of genuine activity – and thus good work – within capitalist society.

When Donald Davidson published his influential article ‘Actions, Reasons and Causes’ [1963], many of his contemporaries were convinced that reasons for action could not be causes of anything, so that even an explanation such as ‘Gilbert knelt because he had decided to propose to Gertrude’ did not work by citing Gilbert’s decision as a cause of his kneeling. Davidson was mainly responsible for demolishing that consensus and reinstating causalism—the thesis that psychological or rationalizing explanations of human behaviour are a species (...) of event-causal explanation—as the dominant view in the philosophy of action, so that it is now often regarded as an obvious truth. (shrink)

This collection situates Deleuze's work and several of his most important concepts in the context of his post-Kantian predecessors, further illuminating both the breadth of his philosophical heritage and the manner in which he moves beyond it. Through a series of studies by leading scholars in the field, At the Edges of Thought sheds new light on key philosophical encounters with thinkers such as Maimon, Kleist, Hölderlin, Fichte, Hegel, Schopenhauer and Feuerbach in Deleuze's texts. Readers are invited to join with (...) Deleuze as he traverses and transforms post-Kantian philosophy, taking it towards the very edges of thought. (shrink)

It might be objected to penal substitutionary theories that punishing Christ could not possibly meet the demands of divine retributive justice. For punishing another person for my crimes would not serve to remove my guilt. The Anglo-American system of justice, in fact, does countenance and even endorse cases in which a substitute satisfies the demands of retributive justice. Moreover, Christ’s being divinely and voluntarily appointed to act not merely as our substitute but as our representative enables him to serve as (...) our proxy before God, so that when he is punished, we are punished, to the satisfaction of divine justice. (shrink)

The first three chapters of Eleonore Stump’s Atonement are devoted to a critique of atonement theories she styles “Anselmian,” including penal substitutionary theories. I focus on her critique of the latter. She presents three groups of objections labeled “internal problems,” “external problems,” and “further problems,” before presenting what she takes to be “the central and irremediable problem” facing such accounts. The external and further problems are seen to be irrelevant to penal substitutionary theories once they are properly understood. Her four (...) internal problems are shown to be far from conclusive. Finally, her identified central problem is seen to be spurious because given Stump’s definitions of love and forgiveness, it is not true that God, as characterized by penal substitutionary theories, fails to be perfectly loving and forgiving, and Stump’s entire approach to the doctrine of the atonement is mistakenly predicated on construing God as a private party involved in a personal dispute rather than as a Judge and Ruler. (shrink)

Does a temporal dual process theory explain the illusive flow of time? I point out one shortcoming of such a theory and propose an alternative that does not require either dual cognitive processes or demand such a stark asymmetry between space and time in the brain.

This paper critically evaluates the effect of introducing markets into the institutional system of education and promotes the claim of a learning democracy to underpin a richer conception for developing the powers and capacities of all citizens.