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.

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)

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.

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)

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.

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.

Many want to know what bitcoin is and how it works. But bitcoin is as complex as it is controversial, and relatively few have the technical background to understand it. In this paper, I offer an accessible on-ramp for understanding bitcoin in the form of a model. My model reveals both what bitcoin is and how it works. More specifically, it reveals that bitcoin is a fictional substance in a massively coauthored story on a network that automates and distributes jobs (...) normally entrusted to centralized publishing institutions. My model therefore falsifies a popular view according to which each bitcoin is a chunk of code. (shrink)

This article argues that most of the approaches to the foundations of statistical mechanics have severed their link with the original foundational project, the project of demonstrating how real mechanical systems can behave thermodynamically.

Merging of opinions results underwrite Bayesian rejoinders to complaints about the subjective nature of personal probability. Such results establish that sufficiently similar priors achieve consensus in the long run when fed the same increasing stream of evidence. Initial subjectivity, the line goes, is of mere transient significance, giving way to intersubjective agreement eventually. Here, we establish a merging result for sets of probability measures that are updated by Jeffrey conditioning. This generalizes a number of different merging results in the literature. (...) We also show that such sets converge to a shared, maximally informed opinion. Convergence to a maximally informed opinion is a (weak) Jeffrey conditioning analogue of Bayesian “convergence to the truth” for conditional probabilities. Finally, we demonstrate the philosophical significance of our study by detailing applications to the topics of dynamic coherence, imprecise probabilities, and probabilistic opinion pooling. (shrink)

The purpose of this article is to delimit what can and cannot be claimed on behalf of second-order logic. The starting point is some of the discussions surrounding my Foundations without Foundationalism: A Case for Secondorder Logic.

This study examines the presence and roles of female directors of U.S. Fortune 500 firms, focusing on committee assignments and director background. Prior work from almost two decades ago concludes that there is a systematic bias against females in assignment to top board committees. Examining a recent data set with a logistic regression model that controls for director and firm characteristics, director resource-dependence roles and interaction between director gender and director characteristics, we find that female directors are less likely than (...) male directors to sit on executive committees and more likely than male directors to sit on public affairs committees. There is little if any evidence of systematic gender bias in director assignment to other board committees. We find some evidence that boards evaluate resource dependence differently for women than men. (shrink)

The questions raised by Māori identity are not static, but complex and changing over time. The ethnicity known as “Māori” came into existence in colonial New Zealand as a new, pan-tribal identity concept, in response to the trauma of invasion and dispossession by large numbers of mainly British settlers. Ideas of Māori identity have changed over the course of succeeding generations in response to wider social and economic changes. While inter-ethnic marriages and other sexual liaisons have been common throughout the (...) Māori-Pākehā relationship, the nature of such unions, and the identity choices available to their descendants, have varied according to era and social locus. In colonial families, the memory of a Māori ancestor was often deliberately suppressed, and children were encouraged to deny that part of their history and “become” European New Zealanders: a classic form of what we call “trans-ethnicity.” From a Māori perspective, the relationship with Pākehā has been marked by a series of losses: loss of land, language, social cohesion, even loss of knowledge of whakapapa. This article explores this last form of loss, which leads to “suppressed” Māori identities, and possible effects of attempting to recover such lost Māori identity rights. (shrink)

There are striking differences between Camus’s early and late philosophical essays, but Camus often claimed that his works were part of one consistent project. This paper argues that, although Camus had a significant change in his views on the consequences of the absurd, throughout his life he also had a common concern with the relation of the absurd to morality. Showing this requires us to clarify what Camus meant by the “absurd,” and identify at least three different uses of the (...) term by Camus: lacking a purpose; lacking an explanation; and a tension between purpose and purposelessness. Clarifying the meaning of “absurd” allows one to show that Camus’s late argument against suicide, often dismissed as inadequate, is valid. This also illustrates the consistency of his concerns over time. (shrink)

The logic of the commons is applied to the U.S. labor pool. lt is argued that the labor pool is an “active” commons, a commons in whichthe resource as weil as the users of the resource can change voluntarily. For this commons to be tended properly, technical solutions are ineffective and inappropriate; both employer and employee must have trust in the mechanisms that tie them together. Collaborative control is given as a possible framework for making the morality shift necessary to (...) avoid ultimate tragedy. (shrink)

Is there any difference between playing video games in which the player’s character commits murder and video games in which the player’s character commits pedophilic acts? Morgan Luck’s “Gamer’s Dilemma” has established this question as a puzzle concerning notions of permissibility and harm. We propose that a fruitful alternative way to approach the question is through an account of aesthetic engagement. We develop an alternative to the dominant account of the relationship between players and the actions of their characters, and (...) argue that the ethical difference between so-called “virtual murder” and “virtual pedophilia” is to be understood in terms of the fiction-making resources available to players. We propose that the relevant considerations for potential players to navigate concern (1) attempting to make certain characters intelligible, and (2) using aspects of oneself as resources for homomorphic representation. (shrink)

Open peer commentary on the article “Enaction as a Lived Experience: Towards a Radical Neurophenomenology” by Claire Petitmengin. Upshot: Mild” neurophenomenology does not solve the “hard problem” of consciousness; in a way it actually aggravates it. “Radical” neurophenomenology “dissolves” the hard problem. However, I suggest that it may be premature to give up on actually solving the hard problem; and indicate several lines of research that are still open.

Humans are able to construct mental representations and models of possible interactions with their environment. They can use these mental models to identify actions that will enable them to achieve their adaptive goals. But humans do not use this capacity to identify and implement the actions that would contribute most to the evolutionary success of humanity. In general, humans do not find motivation or satisfaction in doing so, no matter how effective such actions might be in evolutionary terms. From an (...) evolutionary perspective, this is a significant limitation in the psychological adaptability of humans. This paper sets out to identify the new psychological capacity that would be needed to overcome this limitation and how the new capacity might be acquired. Humans that develop this capacity will become self-evolving organisms - organisms that are able to adapt in whatever ways are necessary for future evolutionary success, largely unfettered by their biological and social past. (shrink)

After a brief account of the problem of higher-order vagueness, and its seeming intractability, I explore what comes of the issue on a linguistic, contextualist account of vagueness. On the view in question, predicates like 'borderline red' and 'determinately red' are, or at least can be, vague, but they are different in kind from 'red'. In particular, 'borderline red' and 'determinately red' are not colours. These predicates have linguistic components, and invoke notions like 'competent user of the language'. On my (...) view, so-called 'higher-order vagueness' is actually ordinary, first-order vagueness in different predicates. I explore the possibility that, nevertheless, a pernicious regress ensues. (shrink)

The Aristotelian-Thomist claim is that external actions can be morally evaluated when they are voluntary (which includes being based on reasonably accurate knowledge of what an agent is doing), absent which, in effect, we evaluate outcomes, not acts. Also, in the Aristotelian-Thomist tradition the internal act of the will is paramount. These claims contrast with some current theorizing, e.g., by Judith Jarvis Thomson, that morally evaluates actions separately from agents, downplaying the internal act. Taking cases from current authors that revolve (...) around ignorance of key facts, I critique their theorizing on the basis of the nature of agency, the nature of abstraction, the moral language we use in describing acts, the need for reasonably complete descriptions of acts, and the tendency of act evaluations to “leak” into agent evaluations in objective theories. I then describe how Thomas Aquinas’s account of moral evaluation avoids these problems and provides a superior, multi-dimensional framework for moral evaluation. (shrink)

David Widerker has forcefully argued that a libertarian is on firm ground in believing that the principle of alternative possibilities (PAP) is true. Eleonore Stump has argued that not all libertarians need accept PAP, and that its acceptance is not required for a rejection of compatibilism.This paper is a defense of Widerker against Stump. I argue that it is not at all clear that Stump’s view of freedom is libertarian in nature, and that she has not provided a good reason (...) for thinking that a libertarian can abandon PAP. (shrink)

This paper searches for an explicit expression of the so-called problem of the direction of time. I argue that the traditional version of the problem is an artifact of a mistaken view in the foundations of statistical mechanics, and that to the degree it is a problem, it is really one general to all the special sciences. I then search the residue of the traditional problem for any remaining difficulty particular to time's arrow and find that there is a special (...) puzzle for some types of scientific realist. (shrink)

How ought we respond to advance directives that appear to fly in the face of a severely mentally impaired patient's quality of life? An advance directive is a legal instrument wherein a person records instructions regarding the medical treatment that she is to receive in the event that she becomes persistently incapable of refusing or giving informed consent to treatment. Where these instructions are legally binding, they enable a person to exercise control over her future medical treatment. This has been (...) welcomed by some on the grounds that it increases patient autonomy, but there has also been concern that in cases in which a patient is left conscious but severely mentally impaired, the person's advance .. (shrink)

God is conceived in the Western theistic tradition to be both the Creator and Conservor of the universe. These two roles were typically classed as different aspects of creation, originating creation and continuing creation. On pain of incoherence, however, conservation needs to be distinguished from creation. Contrary to current analyses (such as Philip Quinn's), creation should be explicated in terms of God's bringing something into being, while conservation should be understood in terms of God's preservation of something over an interval (...) of time. The crucial difference is that while conservation presupposes an object of the divine action, creation does not. Such a construal has significant implications for a tensed theory of time. (shrink)

In this paper we describe two approaches to the revision of probability functions. We assume that a probabilistic state of belief is captured by a counterfactual probability or Popper function, the revision of which determines a new Popper function. We describe methods whereby the original function determines the nature of the revised function. The first is based on a probabilistic extension of Spohn's OCFs, whereas the second exploits the structure implicit in the Popper function itself. This stands in contrast with (...) previous approaches that associate a unique Popper function with each absolute (classical) probability function. We also describe iterated revision using these models. Finally, we consider the point of view that Popper functions may be abstract representations of certain types of absolute probability functions, but we show that our revision methods cannot be naturally interpreted as conditionalization on these functions. (shrink)

The practice of psychology in rural areas offers unique challenges for psychologists as they try to provide optimal care, often with a minimum of resources. Psychologists are frequently required to be creative and flexible in order to provide effective services to a wide range of clients. However, these unique challenges often confront psychologists with ethical dilemmas and problems for which their urban-based training has not prepared them. The author examines how certain characteristics of rural communities may lead to specific ethical (...) dilemmas. By being a part of a small community, psychologists will inevitably face multiple relationship dilemmas. Confidentiality is harder to maintain in a small town, particularly with its informal information-sharing network. To provide services to meet community needs, with a limited number of referral options, psychologists typically need to be generalists. This may lead to concerns about scope of practice, training, and experience with diverse populations. Psychologists also face other competency issues, such as a lack of supervision and consultation resources. Other concerns addressed include the psychologist's visibility in the community, having clients know about the psychologist's personal life, and the blurring of professional and personal roles. Suggestions are made for coping with each of these ethical issues, although more quantitative research and discussion are needed on the practice of psychology in rural areas. (shrink)

A biographical overview introduces the work and provides a context for the theoretical issues taken up in the articles, and an extensive bibliography suggests ...