We introduce an analogue of the theory of Borel equivalence relations in which we study equivalence relations that are decidable by an infinite time Turing machine. The Borel reductions are replaced by the more general class of infinite time computable functions. Many basic aspects of the classical theory remain intact, with the added bonus that it becomes sensible to study some special equivalence relations whose complexity is beyond Borel or even analytic. We also introduce an infinite time generalization of the (...) countable Borel equivalence relations, a key subclass of the Borel equivalence relations, and again show that several key properties carry over to the larger class. Lastly, we collect together several results from the literature regarding Borel reducibility which apply also to absolutely $\Delta^1_2$ reductions, and hence to the infinite time computable reductions. (shrink)

We prove that the conjugacy problem for the automorphism group of the random graph is Borel complete, and discuss the analogous problem for some other countably categorical structures.

We observe that the classification problem for countable models of arithmetic is Borel complete. On the other hand, the classification problems for finitely generated models of arithmetic and for recursively saturated models of arithmetic are Borel; we investigate the precise complexity of each of these. Finally, we show that the classification problem for pairs of recursively saturated models and for automorphisms of a fixed recursively saturated model are Borel complete.

Boykin and Jackson recently introduced a property of countable Borel equivalence relations called Borel boundedness, which they showed is closely related to the union problem for hyperfinite equivalence relations. In this paper, we introduce a family of properties of countable Borel equivalence relations which correspond to combinatorial cardinal characteristics of the continuum in the same way that Borel boundedness corresponds to the bounding number. We analyze some of the basic behavior of these properties, showing, e.g., that the property corresponding to (...) the splitting number coincides with smoothness. We then settle many of the implication relationships between the properties; these relationships turn out to be closely related to (but not the same as) the Borel Tukey ordering on cardinal characteristics. (shrink)

We show that for any countable homogeneous ordered graph G, the conjugacy problem for automorphisms of G is Borel complete. In fact we establish that each such G satisfies a strong extension property called ABAP, which implies that the isomorphism relation on substructures of G is Borel reducible to the conjugacy relation on automorphisms of G.

We introduce a new family of jump operators on Borel equivalence relations; specifically, for each countable group [Formula: see text] we introduce the [Formula: see text]-jump. We study the elementary properties of the [Formula: see text]-jumps and compare them with other previously studied jump operators. One of our main results is to establish that for many groups [Formula: see text], the [Formula: see text]-jump is proper in the sense that for any Borel equivalence relation [Formula: see text] the [Formula: see (...) text]-jump of [Formula: see text] is strictly higher than [Formula: see text] in the Borel reducibility hierarchy. On the other hand, there are examples of groups [Formula: see text] for which the [Formula: see text]-jump is not proper. To establish properness, we produce an analysis of Borel equivalence relations induced by continuous actions of the automorphism group of what we denote the full [Formula: see text]-tree, and relate these to iterates of the [Formula: see text]-jump. We also produce several new examples of equivalence relations that arise from applying the [Formula: see text]-jump to classically studied equivalence relations and derive generic ergodicity results related to these. We apply our results to show that the complexity of the isomorphism problem for countable scattered linear orders properly increases with the rank. (shrink)

We introduce the computable FS-jump, an analog of the classical Friedman–Stanley jump in the context of equivalence relations on the natural numbers. We prove that the computable FS-jump is proper with respect to computable reducibility. We then study the effect of the computable FS-jump on computably enumerable equivalence relations (ceers).

We study the complexity of the classification problem for countable models of set theory (). We prove that the classification of arbitrary countable models of is Borel complete, meaning that it is as complex as it can conceivably be. We then give partial results concerning the classification of countable well‐founded models of.

We consider the classification problem for several classes of countable structures which are “vertex-transitive”, meaning that the automorphism group acts transitively on the elements. We show that the classification of countable vertex-transitive digraphs and partial orders are Borel complete. We identify the complexity of the classification of countable vertex-transitive linear orders. Finally we show that the classification of vertex-transitive countable tournaments is properly above \ in complexity.

In this paper, I will argue that there is a version of possibilism—inspired by the modal analogue of Kit Fine’s fragmentalism—that can be combined with a weakening of actualism. The reasons for analysing this view, which I call Modal Fragmentalism, are twofold. Firstly, it can enrich our understanding of the actualism/possibilism divide, by showing that, at least in principle, the adoption of possibilia does not correspond to an outright rejection of the actualist intuitions. Secondly, and more specifically, it can enrich (...) our understanding of concretism, by proving that, at least in principle, the idea that objects have properties in an absolute manner is compatible with transworld identity. (shrink)

Gils-Schmidt and Salloch recognise that human and climate health are inextricably linked, and that mitigating healthcare-associated climate harms is essential for protecting human health.1 They argue that physicians have a duty to consider how their own practices contribute to climate change, including during their interactions with patients. Acknowledging the potential for conflicts between this duty and the provision of individual patient care, they propose the application of Korsgaard’s neo-Kantian account of practical identities to help navigate such scenarios. In this commentary, (...) we argue that by focusing attention on this physician–patient level, the authors overlook the complexity of climate change, both within the healthcare sector and beyond. We recognise the importance of individual agency in tackling this issue, and we also recognise that the authors do briefly acknowledge the importance of considering these broader complexities; however, we emphasise the need for climate and health discussions/action to be situated in a wider framework of systemic change. Our concern is that overemphasis on patient-level interactions risks normalising the prioritisation of individual-level approaches to addressing climate change, detracting from such a broader approach. Physician training emphasises the need for trust, confidentiality and shared decision-making in the doctor–patient relationship. …. (shrink)

We sometimes fail unwittingly to do things that we ought to do. And we are, from time to time, culpable for these unwitting omissions. We provide an outline of a theory of responsibility for unwitting omissions. We emphasize two distinctive ideas: (i) many unwitting omissions can be understood as failures of appropriate vigilance, and; (ii) the sort of self-control implicated in these failures of appropriate vigilance is valuable. We argue that the norms that govern vigilance and the value of self-control (...) explain culpability for unwitting omissions. (shrink)

Each volume of this series of companions to major philosophers contains specially commissioned essays by an international team of scholars and will serve as a reference work for students and nonspecialists. John Rawls is the most significant and influential philosopher and moral philosopher of the twentieth century. His work has profoundly shaped contemporary discussions of social, political and economic justice in philosophy, law, political science, economics and other social disciplines. In this exciting collection of new essays, many of the world's (...) leading political and moral theorists discuss the full range of Rawls's contribution to the concepts of political and economic justice, democracy, liberalism, constitutionalism, and international justice. There are also assessments of Rawls's controversial relationships with feminism, utilitarianism and communitarianism. New readers will find this the most accessible guide to Rawls currently available. Advanced students and specialists will find a conspectus of recent developments in the interpretation of Rawls. (shrink)

This article challenges the association between realist methodology and ideals of legitimacy. Many who seek a more “realistic” or “political” approach to political theory replace the familiar orientation towards a state of justice with a structurally similar orientation towards a state of legitimacy. As a result, they fail to provide more reliable practical guidance, and wrongly displace radical demands. Rather than orienting action towards any state of affairs, I suggest that a more practically useful approach to political theory would directly (...) address judgments, by comparing the concrete possibilities for action faced by real political actors. (shrink)

The controversy over the equivalence of continuous sedation until death (CSD) and physician-assisted suicide/euthanasia (PAS/E) provides an opportunity to focus on a significant extended use of CSD. This extension, suggested by the equivalence of PAS/E and CSD, is designed to promote additional patient autonomy at the end-of-life. Samuel LiPuma, in his article, “Continuous Sedation Until Death as Physician-Assisted Suicide/Euthanasia: A Conceptual Analysis” claims equivalence between CSD and death; his paper is seminal in the equivalency debate. Critics contend that sedation (...) follows proportionality protocols for which LiPuma’s thesis does not adequately account. Furthermore, sedation may not eliminate consciousness, and as such LiPuma’s contention that CSD is equivalent to neocortical death is suspect. We not only defend the equivalence thesis, but also expand it to include additional moral considerations. First, we explain the equivalence thesis. This is followed by a defense of the thesis against five criticisms. The third section critiques the current use of CSD. Finally, we offer two proposals that, if adopted, would broaden the use of PAS/E and CSD and thereby expand options at the end-of-life. (shrink)

P. Kyle Stanford defends the problem of unconceived alternatives, which maintains that scientists are unlikely to conceive of all the scientifically plausible alternatives to the theories they accept. Stanford’s argument has been criticized on the grounds that the failure of individual scientists to conceive of relevant alternatives does not entail the failure of science as a corporate body to do so. I consider two replies to this criticism and find both lacking. In the process, I argue that Stanford does not (...) provide evidence that there are likely scientifically plausible unconceived alternatives to scientific theories accepted now and in the future. (shrink)

Mintz examines seventeenth-century reactions to the political philosophy of Thomas Hobbes.

According to Aristotle, the medical art aims at health, which is a virtue of the body, and does so in an unlimited way. Consequently, medicine does not determine the extent to which health should be pursued, and “mental health” falls under medicine only via pros hen predication. Because medicine is inherently oriented to its end, it produces health in accordance with its nature and disease contrary to its nature—even when disease is good for the patient. Aristotle’s politician understands that this (...) inherent orientation can be systematically distorted, and so would see the need for something like the Hippocratic Oath. (shrink)

One popular theory of moral responsibility locates responsible agency in exercises of control. These control-based theories often appeal to tracing to explain responsibility in cases where some agent is intuitively responsible for bringing about some outcome despite lacking direct control over that outcome’s obtaining. Some question whether control-based theories are committed to utilizing tracing to explain responsibility in certain cases. I argue that reflecting on certain kinds of negligence shows that tracing plays an ineliminable role in any adequate control-based theory (...) of responsibility. (shrink)

This comprehensive, historically organized introduction to philosophy communicates the richness of the discipline and provides the student with a working knowledge of the development of Western philosophy. New co-author James Fieser has brought this classic text up-to-date both chronologically and stylistically while preserving the thoughtful, conceptual characteristics that have made it so successful. The text covers all periods of philosophy, lists philosophers alphabetically and chronologically on the end-papers, and features an exceptional glossary of key concepts.

Most democratic theorists agree that concentrations of wealth and power tend to distort the functioning of democracy and ought to be countered wherever possible. Deliberative democrats are no exception: though not its only potential value, the capacity of deliberation to ‘neutralise power’ is often regarded as ‘fundamental’ to deliberative theory. Power may be neutralised, according to many deliberative democrats, if citizens can be induced to commit more fully to the deliberative resolution of common problems. If they do, they will be (...) unable to get away with inconsistencies and bad or private reasons, thereby mitigating the illegitimate influence of power. I argue, however, that the means by which power inflects political disagreement is far more subtle than this model suggests and cannot be countered so simply. As a wealth of recent research in political psychology demonstrates, human beings persistently exhibit ‘motivated reasoning’, meaning that even when we are sincerely committed to the deliberative resolution of common problems, and even when we are exposed to the same reasons and evidence, we still disagree strongly about what ‘fair cooperation’ entails. Motivated reasoning can be counteracted, but only under exceptional circumstances such as those that enable modern science, which cannot be reliably replicated in our society at large. My analysis suggests that in democratic politics – which rules out the kind of anti-democratic practices available to scientists – we should not expect deliberation to reliably neutralise power. (shrink)

Samuel Clarke was by far the most gifted and influential Newtonian philosopher of his generation, and A Demonstration of the Being and Attributes of God, which constituted the 1704 Boyle Lectures, was one of the most important works of the first half of the eighteenth century, generating a great deal of controversy about the relation between space and God, the nature of divine necessary existence, the adequacy of the Cosmological Argument, agent causation, and the immateriality of the soul. Together (...) with the other texts presented in this edition, it also provides the best introduction to Clarke's philosophical views, which, in addition to their intrinsic interest, are historically important for the light they shed both on the philosophical positions within the Newtonian circle and on the exchange between Clarke and Leibniz, the most famous philosophical controversy of the eighteenth century. (shrink)

Despite claims to the contrary, the science of ecology has a long history of building theories. Many ecological theories are mathematical, computational, or statistical, though, and rarely have attempts been made to organize or extrapolate these models into broader theories. The Theory of Ecology brings together some of the most respected and creative theoretical ecologists of this era to advance a comprehensive, conceptual articulation of ecological theories. The contributors cover a wide range of topics, from ecological niche theory to population (...) dynamic theory to island biogeography theory. Collectively, the chapters ably demonstrate how theory in ecology accounts for observations about the natural world and how models provide predictive understandings. It organizes these models into constitutive domains that highlight the strengths and weaknesses of ecological understanding. This book is a milestone in ecological theory and is certain to motivate future empirical and theoretical work in one of the most exciting and active domains of the life sciences. (shrink)

Taking the title of his book from Isaiah Berlin's famous essay distinguishing a negative concept of liberty connoting lack of interference by others from a positive concept involving participation in the political realm, Samuel Fleischacker explores a third definition of liberty that lies between the first two. In Fleischacker's view, Kant and Adam Smith think of liberty as a matter of acting on our capacity for judgment, thereby differing both from those who tie it to the satisfaction of our (...) desires and those who translate it as action in accordance with reason or "will." Integrating the thought of Kant and Smith, and developing his own stand through readings of the Critique of Judgment and The Wealth of Nations, Fleischacker shows how different acting on one's best judgment is from acting on one's desires--how, in particular, good judgment, as opposed to mere desire, can flourish only in favorable social and political conditions. At the same time, exercising judgment is something every individual must do for him- or herself, hence not something that philosophers and politicians who reason better than the rest of us can do in our stead. For this reason advocates of a liberty based on judgment are likely to be more concerned than are libertarians to make sure that government provides people with conditions for the use of their liberty--for example, excellent standards of education, health care, and unemployment insurance--while at the same time promoting a less paternalistic view of government than most of the movements associated for the past thirty years with the political left. (shrink)

Variabilism is the view that proper names (like pronouns) are semantically represented as variables. Referential names, like referential pronouns, are assigned their referents by a contextual variable assignment (Kaplan 1989). The reference parameter (like the world of evaluation) may also be shifted by operators in the representation language. Indeed verbs that create hyperintensional contexts, like ‘think’, are treated as operators that simultaneously shift the world and assignment parameters. By contrast, metaphysical modal operators shift the world of assessment only. Names, being (...) variables, refer rigidly in the latter merely intensional contexts, but may vary their reference in hyperintensional contexts. This conforms to the intuition that the content of attitude ascriptions encapsulates referential uncertainty. Furthermore, names in hyperintensional contexts are ambiguous between de re* and de dicto* interpretations. This fact is used to account for asymmetric mistaken identity attributions (for example, Biron thinks Katherine is Rosaline, but he doesn’t think Rosaline is Katherine). -/- The variable theory compares favourably with its alternatives, including Millianism and descriptivism. Millians cannot account for the behaviour of names in hyperintensional contexts, while descriptivists cannot generate a necessary contrast between intensional and hyperintensional contexts. No other theory can capture the facts pertaining to the existentially bound use of names. (shrink)

Cognitive science has recently made some startling discoveries about temporal experience, and these discoveries have been drafted into philosophical service. We survey recent appeals to cognitive science in the philosophical debate over whether time objectively passes. Since this research is currently in its infancy, we identify some directions for future research.

This article is divided into three sections. In the first and second, I examine Sartorio’s account of the causal structure of the famous Thirsty Traveler thought experiment. I argue that this account does not withstand critical scrutiny. In the third, I turn to a novel kind of moral luck that Sartorio uses the Thirsty Traveler to expose. I expand the scope of my argument to look also at other recently proposed categories of moral luck. I argue that these proposals are (...) overhasty. (shrink)

This paper examines the interplay of semantics and pragmatics within the domain of film. Films are made up of individual shots strung together in sequences over time. Though each shot is disconnected from the next, combinations of shots still convey coherent stories that take place in continuous space and time. How is this possible? The semantic view of film holds that film coherence is achieved in part through a kind of film language, a set of conventions which govern the relationships (...) between shots. In this paper, we develop and defend a new version of the semantic view. We articulate it for a pair of conventions that govern spatial relations between viewpoints. One such rule is already well-known; sometimes called the "180° Rule," we term it the X-Constraint; to this we add a previously unrecorded rule, the T-Constraint. As we show, both have the effect, in different ways, of limiting the way that viewpoint can shift through space from shot to shot over the course of a film sequence. Such constraints, we contend, are analogous to relations of discourse coherence that are widely recognized in the linguistic domain. If film is to have a language, it is a language made up of rules like these. (shrink)

Much current debate in the metaphysics of time is between A-theorists and B-theorists. Central to this debate is the assumption that time exists and that the task of metaphysics is to catalogue time’s features. Relatively little consideration has been given to an error theory about time. Since there is very little extant work on temporal error theory the goal of this paper is simply to lay the groundwork to allow future discussion of the relative merits of such a view. The (...) paper thus develops a conceptual framework from within which to evaluate claims about the actual existence, or not, of temporality as that notion appears in folk discourses about time, and from there to examine claims about the counterfactual existence, or not, of temporality so conceived. We subsequently apply this framework to three extant positions drawn from physics and metaphysics that deny the existence of time. We show that only one of these positions is a folk temporal error theory; that is, a view that denies the existence of time as that notion is operative in our everyday thought and talk. (shrink)

In Wilmot-Smith’s recent ‘Law, “Ought”, and “Can”,’ he argues that legal obligation does not imply ability. In this short reply, I show that Wilmot-Smith’s arguments do not withstand critical scrutiny. In section 1, I attack Wilmot-Smith’s argument for the claim that allowing for impossible obligations makes for a better legal system, and I introduce positive grounds for thinking otherwise. In section 2, I show that, even if Wilmot-Smith had established that impossible obligations make for a better legal system, his subsequent (...) attack on OIC fails. (shrink)

New and experienced psychotherapists alike can find themselves overwhelmed by an ethical quandary where there doesn't seem to be an easy solution. This book presents positive ethics as a means to overcome such ethical challenges. The positive approach focuses on not just avoiding negative consequences, but reaching the best possible outcomes for both the psychotherapist and the client. The authors outline a clear decision-making process that is based on three practical strategies: the ethics acculturation model to help therapists incorporate personal (...) ethics into their professional roles, the quality enhancement model for dealing with high-risk patients who are potentially harmful, and ethical choice-making strategies to make the most ethical decision in a situation where two ethical principles conflict. Throughout the decision-making process, psychotherapists are encouraged to follow four basic guidelines: Focus on overarching ethical principles Consider intuitive, emotional, and other nonrational factors Accept that some problems have elusive solutions Solicit input from colleagues and consultation groups Numerous vignettes illustrate how to apply positive ethics to many different ethical challenges that psychotherapists will likely encounter in practice. (shrink)

Contemporary critics of the administrative state are right to highlight the dangers of vesting too much power in a centralized bureaucracy removed from popular oversight and accountability. Too often neglected in this literature, however, are the dangers of vesting too little power in a centralized state, which enables dominant groups to further expand their social and economic advantages through decentralized means. This article seeks to synthesize these concerns, understanding them as reflecting the same underlying danger of state capture. It then (...) articulates a set of heuristics for the design of public and administrative institutions, which aim at minimizing the risks of capture from both public and private sources. By following these heuristics, it claims, we can successfully employ the administrative state as a weapon against concentrated private power, rather than allowing it to serve as a tool of dominant groups. (shrink)

What if "liberal democracy" were a contradiction in terms? This book distinguishes liberalism from democracy to defend a Rancirean vision of impure politics. Disclosing Rancire's refusal of ontology as political, The Lessons of Rancire enacts a critical theory beyond unmasking and a democratic politics beyond liberalism.

Where do ideas fit into historical accounts that take an expansive, global view of human movements and events? Teaching scholars of intellectual history to incorporate transnational perspectives into their work, while also recommending how to confront the challenges and controversies that may arise, this original resource explains the concepts, concerns, practice, and promise of "global intellectual history," featuring essays by leading scholars on various approaches that are taking shape across the discipline. The contributors to _Global Intellectual History_ explore the different (...) ways in which one can think about the production, dissemination, and circulation of "global" ideas and ask whether global intellectual history can indeed produce legitimate narratives. They discuss how intellectuals and ideas fit within current conceptions of global frames and processes of globalization and proto-globalization, and they distinguish between ideas of the global and those of the transnational, identifying what each contributes to intellectual history. A crucial guide, this collection sets conceptual coordinates for readers eager to map an emerging area of study. (shrink)

Introduction to the study of African Christian ethics -- Foundations of contemporary African ethics -- Foundations of Western ethics -- Foundations of Christian ethics -- Foundations of African Christian ethics -- Applying African Christian ethics -- Church and state -- War and violence -- Strikes -- Poverty -- Corruption -- Fund-raising -- Procreation and infertility -- Reproductive technologies -- Contraception -- Polygamy -- Domestic violence -- Divorce and remarriage -- Widows and orphans -- Rape -- Incest -- Prostitution and sex (...) trafficking -- Female circumcision -- Homosexuality -- HIV/AIDS -- Abortion -- Euthanasia and infanticide -- Strikes and medical services -- Drug and alcohol abuse -- Witchcraft. (shrink)

Recent years have witnessed growing controversy over the “wisdom of the multitude.” As epistemic critics drawing on vast empirical evidence have cast doubt on the political competence of ordinary citizens, epistemic democrats have offered a defense of democracy grounded largely in analogies and formal results. So far, I argue, the critics have been more convincing. Nevertheless, democracy can be defended on instrumental grounds, and this article demonstrates an alternative approach. Instead of implausibly upholding the epistemic reliability of average voters, I (...) observe that competitive elections, universal suffrage, and discretionary state power disable certain potent mechanisms of elite entrenchment. By reserving particular forms of power for the multitude of ordinary citizens, they make democratic states more resistant to dangerous forms of capture than non-democratic alternatives. My approach thus offers a robust defense of electoral democracy, yet cautions against expecting too much from it—motivating a thicker conception of democracy, writ large. (shrink)

Serena Olsaretti brings together new essays by leading moral and political philosophers on the nature of desert and justice, their relations with each other and with other values.

The leading reductive approaches to shared agency model that phenomenon in terms of complexes of individual intentions, understood as plan-laden commitments. Yet not all agents have such intentions, and non-planning agents such as small children and some non-human animals are clearly capable of sophisticated social interactions. But just how robust are their social capacities? Are non-planning agents capable of shared agency? Existing theories of shared agency have little to say about these important questions. I address this lacuna by developing a (...) reductive account of the social capacities of non-planning agents, which I argue supports the conclusion that they can enjoy shared agency. The resulting discussion offers a fine-grained account of the psychological capacities that can underlie shared agency, and produces a recipe for generating novel hypotheses concerning why some agents do not engage in shared agency. (shrink)