A ‘duality’ is a formal mapping between the spaces of solutions of two empirically equivalent theories. In recent times, dualities have been found to be pervasive in string theory and quantum field theory. Naïvely interpreted, duality-related theories appear to make very different ontological claims about the world—differing in e.g. space-time structure, fundamental ontology, and mereological structure. In light of this, duality-related theories raise questions familiar from discussions of underdetermination in the philosophy of science: in the presence of dual theories, what (...) is one to say about the ontology of the world? In this paper, we undertake a comprehensive and non-technical survey of the landscape of possible ontological interpretations of duality-related theories. We provide a significantly enriched and clarified taxonomy of options—several of which are novel to the literature. (shrink)

I argue that, although education should have positive effects on students’ epistemic character, it is often actually damaging, having bad effects. Rather than cultivating virtues of the mind, certain forms of education lead to the development of the vices of the mind - it is therefore epistemically corrupting. After sketching an account of that concept, I offer three illustrative case studies.

Ill persons suffer from a variety of epistemically-inflected harms and wrongs. Many of these are interpretable as specific forms of what we dub pathocentric epistemic injustices, these being ones that target and track ill persons. We sketch the general forms of pathocentric testimonial and hermeneutical injustice, each of which are pervasive within the experiences of ill persons during their encounters in healthcare contexts and the social world. What’s epistemically unjust might not be only agents, communities and institutions, but the theoretical (...) conceptions of health that structure our responses to illness. Thus, we suggest that although such pathocentric epistemic injustices have a variety of interpersonal and structural causes, they are also sustained by a deeper naturalistic conception of the nature of illness. (shrink)

Although the discipline of vice epistemology is only a decade old, the broader project of studying epistemic vices and failings is much older. This paper argues that contemporary vice epistemologists ought to engage more closely with these earlier projects. After sketching some general arguments in section one, I then turn to deep epistemic vices: ones whose identity and intelligibility depends on some underlying conception of human nature or the nature of reality. The final section then offers a case study from (...) a vice epistemic tradition that emerged in early modern English natural philosophy. (shrink)

In this paper, we argue that certain theoretical conceptions of health, particularly those described as ‘biomedical’ or ‘naturalistic’, are viciously epistemically unjust. Drawing on some recent work in vice epistemology, we identity three ways that abstract objects (such as theoretical conceptions, doctrines, or stances) can be legitimately described as epistemically vicious. If this is right, then robust reform of individuals, social systems, and institutions would not be enough to secure epistemic justice: we must reform the deeper conceptions of health that (...) underlie them. (shrink)

This chapter challenges the common claim that vicious forms of argumentative practice, like interpersonal arrogance and discursive polarisation, are caused by martial metaphors, such as ARGUMENT AS WAR. I argue that the problem isn’t the metaphor, but our wider practices of metaphorising and the ways they are deformed by invidious cultural biases and prejudices. Drawing on feminist argumentation theory, I argue that misogynistic cultures distort practices of metaphorising in two ways. First, they spotlight some associations between the martial and argumentative (...) domains while occluding others, resulting in a sort of myopia. Second, those cultures interfere with a phenomenon I label normative isomorphism – the capacity of some structural metaphors to enable (and often encourage) a transfer of normative chracater traits from the source domain to the target domain. Crucially, the normative status of character trait often changes across domains—traits that are virtuous in the martial domain are often vicious in the argumentative domain, and vice versa. Sexist myopia tends to deform practices of metaphorising by interfering with normative isomorphism by privileging the transfer across domains of traits that recapitulate invidious cultural constructions of masculinity in terms of aggression, domination, and violence. Basically, the problem isn’t the metaphors, but the cultures. (shrink)

Many ancient traditions recognise certain people as exemplars of virtue. I argue that some of these traditions incorporate a 'cosmic' mode of emulation, where certain of the qualities or aspects of the grounds or source of the world manifest, in human form, as virtues. If so, the ultimate objection of emulation is not a human being. I illustrate this with the forms of Daoist exemplarity found in the Book of Zhuangzi, and end by considering the charge that the aspiration to (...) cosmic emulation is inhumane. (shrink)

David. E. Cooper’s claim in Animals and Misanthropy is that honest reflection on the ways human beings treat and compare with animals encourages a dark, misanthropic judgment on humankind. Treatment of animals manifests a range of vices and failings that are ubiquitous and entrenched in our practices, institutions, and forms of life, organized by Cooper into five clusters. Moreover, comparisons of humans and animals reveals both affinities and similarities, including a crucial difference that animals are capable of virtues while being (...) vice-free, whereas humans are both virtuous and vicious. Various familiar ways of thinking morally and scientifically about animal life are criticized for being overly abstract, occluding richer ways of engaging with animals that are better able to disclose the fundamental wrong of their treatment by humans. The book offers a concise, lucid challenge to mainstream ways of thinking morally about animals and to comfortably optimistic estimations of the moral performance of humankind. (shrink)

This paper focuses on the research field of machine ethics and how it relates to a technological singularity—a hypothesized, futuristic event where artificial machines will have greater-than-human-level intelligence. One problem related to the singularity centers on the issue of whether human values and norms would survive such an event. To somehow ensure this, a number of artificial intelligence researchers have opted to focus on the development of artificial moral agents, which refers to machines capable of moral reasoning, judgment, and decision-making. (...) To date, different frameworks on how to arrive at these agents have been put forward. However, there seems to be no hard consensus as to which framework would likely yield a positive result. With the body of work that they have contributed in the study of moral agency, philosophers may contribute to the growing literature on artificial moral agency. While doing so, they could also think about how the said concept could affect other important philosophical concepts. (shrink)

ABSTRACT Wilfrid Sellars argued that Kant’s account of the conceptual structures involved in experience can be given a linguistic turn so as to provide an analytic account of the resources a language must have in order to be the bearer of empirical knowledge. In this paper I examine the methodological aspects of Kant’s transcendental philosophy that Sellars took to be fundamental to influential themes in his own philosophy. My first aim here is to clarify and argue for the plausibility of (...) what I claim is Sellars’ interpretation of Kant’s ‘analytic’ transcendental method in the first Critique, based ultimately on non-trivial analytic truths concerning the concept of an object of our possible experience. Kant’s ‘transcendental proofs’ thereby avoid a certain methodological trilemma confronting the candidate premises of any such proof, taken from Sellars’ 1970s undergraduate exam question on Kant. In part II of the essay I conclude by highlighting in general terms how Kant’s method, as interpreted in the analytic manner explained in part I, was adapted by Sellars to produce some of the more influential aspects of his own philosophy, expressed in terms of what he contends is their sustainable reformulation in light of the so-called linguistic turn in twentieth-century philosophy. (shrink)

There has been a general failure among mental health theorists and social psychologists to understand the etiology of work-engendered depression. Yet the condition is increasingly prevalent in highly industrialized societies, where an exclusionary focus upon work, money, and the things that money can buy has displaced values that traditionally exerted a liberating and humanizing influence. Social critics have called the result an impoverishment of the spirit, a state of cultural bankruptcy, and an incapacity for genuine leisure. From a clinical perspective, (...) the condition has been diagnosed as widespread narcissism and obsessive work. -/- Acedia, a concept developed by the Scholastics, throws clarifying light on the origin of this form of depression. (shrink)

This paper proposes that spiritual persons are an excellent focus for the study of 'living religion' and offers a methodology for doing so. By ‘spiritual persons’, I have in mind both exemplary figures – like Jesus or the Buddha – and the multitude of ‘ordinary’ spiritual persons whose lives are led in aspiration to the spiritual goods the exemplars manifest (enlightenment, say, or holiness). I start with Linda Zagzebski's recent argument that moral persuasion primarily occurs through encounters with exemplars of (...) moral qualities, of a sort that invite admiration and emulation. A plurality of modes of spiritual exemplarity is distinguished, each reflecting a distinct form of spiritual aspiration, which will show in the lives of the members of different traditions. I develop this claim by focusing on the ways that spiritual aspirants can encounter exemplars through their depictions in spiritual narrative. It emerges that narrative encounters can activate certain forms of admiration and enable certain forms of emulation if they depict the suffering of exemplars. (shrink)

A study of the psychology of demoralization affecting university faculty in the liberal arts. This form of demoralization is not adequately understood in terms of the concept of career burnout. Instead, demoralization that affects university faculty in the liberal arts requires a broadened understanding of the historical and psychological situation in which these professors find themselves today.

A chapter exploring the relations between humility and the sciences.

This article focuses on a particular issue under machine ethics—that is, the nature of Artificial Moral Agents. Machine ethics is a branch of artificial intelligence that looks into the moral status of artificial agents. Artificial moral agents, on the other hand, are artificial autonomous agents that possess moral value, as well as certain rights and responsibilities. This paper demonstrates that attempts to fully develop a theory that could possibly account for the nature of Artificial Moral Agents may consider certain philosophical (...) ideas, like the standard characterizations of agency, rational agency, moral agency, and artificial agency. At the very least, the said philosophical concepts may be treated as signposts for further research on how to truly account for the nature of Artificial Moral Agents. (shrink)

This paper examines a largely unrecognized mental disorder that is essentially a disability of values. It is their daily contact with this pathology that leads many university liberal arts faculty to demoralization. The deeply rooted disparity between the world of the traditional liberal arts scholar and today’s college students is not simply a gulf across which communication is difficult, but rather involves a pathological impairment in the majority of students that stems from an exclusionary focus on work, money, and the (...) acquisition of things. It is argued that this state of mind constitutes a self-disabling mental illness, which for a society becomes pathological ideology, and for the individual takes the form of clinical narcissism. (shrink)

This article looks at “faith-in” and what Jonathan Kvanvig calls the “belittler objection” by comparing Hegel’s and Kierkegaard’s interpretations of Abram (later known as Abraham). I first argue that Hegel’s treatment of Abram in Spirit of Christianity and its Fate is an objection to faith-in. Building on this with additional Hegelian texts, I argue that Hegel’s objection employs his social command account of morality. I then turn to Johannes de Silentio’s treatments of Abraham in Fear and Trembling and Søren Kierkegaard’s (...) Works of Love to argue that Kierkegaard defends faith-in as part of a moderate divine command account of moral knowledge. Finally, this article suggests that the belittler objection is ultimately an objection to faith-in as a divine command source of moral knowledge or obligation rather than social command. (shrink)

This is a study of the relativity of facts in relation to the frameworks of reference in terms of which those facts are established. In this early paper from 1975, intended for a less technical audience, the author proposes an understanding of facts and their associated frameworks in terms of complementarity. This understanding of facts leads to an integrated yet pluralistic concept of reality. In the Addendum, readers will find a partial listing of related publications by the author that extend (...) the research described in this paper. (shrink)

In 1947 Donald Cary Williams claimed in The Ground of Induction to have solved the Humean problem of induction, by means of an adaptation of reasoning first advanced by Bernoulli in 1713. Later on David Stove defended and improved upon Williams’ argument in The Rational- ity of Induction (1986). We call this proposed solution of induction the ‘Williams-Stove sampling thesis’. There has been no lack of objections raised to the sampling thesis, and it has not been widely accepted. In our (...) opinion, though, none of these objections has the slightest force, and, moreover, the sampling thesis is undoubtedly true. What we will argue in this paper is that one particular objection that has been raised on numerous occasions is misguided. This concerns the randomness of the sample on which the inductive extrapolation is based. (shrink)

In this chapter I argue that despite its current popularity the doctrine of the specious present, or at least every current version of it, should be rejected. I describe two alternative accounts, which deal with experiences of two different kinds of change. The first is what I call the dynamic snapshot theory, which accounts for the way we experience continuous changes such as motion and other motion-like phenomena. The second account deals with the way we experience discontinuous changes, those for (...) which there is no finite rate of change. However I then argue that much of the current debate implicitly presupposes a problematic Cartesian view about the nature of conscious experience. If this view is rejected – as I think it should be – then a different kind of account emerges that avoids commitment both to the specious present and to its main current rival, the cinematic view. (shrink)

This essay revisits the topic of how we should measure the things that matter, at a time when we continue to mismeasure our lives, as we hold fast to outworn myths of usefulness, popularity, and the desire to influence others. /// Three central, unquestioned presumptions have come to govern much of contemporary society, education, and the professions. They are: the high value placed on usefulness, on the passion to achieve popularity, and on the desire to influence others. In this essay, (...) the psychologist-philosopher author makes the case against these presumptions, presumptions which lead to exclusionary commitments that stand in the way of human cultural development. (shrink)

Programs of drug testing welfare recipients are increasingly common in US states and have been considered elsewhere. Though often intensely debated, such programs are complicated to evaluate because their aims are ambiguous – aims like saving money may be in tension with aims like referring people to treatment. We assess such programs using a proportionality approach, which requires that for ethical acceptability a practice must be: reasonably likely to meet its aims, sufficiently important in purpose as to outweigh harms incurred, (...) and lower in costs than feasible alternatives. In the light of empirical findings, we argue that the programs fail the three requirements. Pursuing recreational drug users is not important in the light of costs incurred, while dependent users who may require referral are usually identifiable without testing and typically need a broader approach than one focussing on drugs. Drug testing of welfare recipients is therefore not ethically acceptable policy. (shrink)

The American system of education makes important and sometimes unjustified assumptions that were questioned and criticized nearly a hundred years ago by author and educational theorist Albert Jay Nock. This essay discusses Nock’s theory of American education and finds that certain of these assumptions stand greatly in need of the support of evidence.

The elimination of ambiguity and redundancy are unquestioned goals in the exact sciences, and yet, as this paper shows, there are inescapable lower bounds that constrain our wish to eliminate them. The author discusses contributions by Richard Hamming (inventor of the Hamming code) and Satosi Watanabe (originator of the Theorems of the Ugly Duckling). Utilizing certain of their results, the author leads readers to recognize the unavoidable, central roles in effective communication, of redundancy, and of ambiguity of meaning, reference, and (...) identification. (shrink)

A psychological and historical study of college students from the standpoint of the psychology and history of American higher education and of liberal arts values.

The author considers the model-theoretic character of proofs and disproofs by means of attempted counterexample constructions, distinguishes this proof format from formal derivations, then contrasts two approaches to semantic tableaux proposed by Beth and Lambert-van Fraassen. It is noted that Beth's original approach has not as yet been provided with a precisely formulated rule of closure for detecting tableau sequences terminating in contradiction. To remedy this deficiency, a technique is proposed to clarify tableau operations.

This essay is my review of Bob Bowden’s excellent documentary The Cartel. It is a powerful indictment of public schools and public school teachers’ unions. In a crucial part of the film, we see minority parents at a charter school lottery. Charter schools, like voucher private schools, give parents school choice—although charter schools are public schools technically, but run fairly independently. They are so popular, and the school districts allow so few of them, that parents must apply by lottery for (...) the few slots. The looks of grief on the faces of the parents who lose the lottery—and hence must keep their children in failing public schools—is telling. It is ironic that the nation most admired by American progressives—Sweden—completely voucharized its entire K-12 school system thirty years ago. (shrink)

NOTE TO THE READER - December, 2021 ●●●●● -/- After a long period of time devoted to research in other areas, the author returned to the subject of this paper in a book-length study, CRITIQUE OF IMPURE REASON: Horizons of Possibility and Meaning. In this book (Chapter 11, “The Metalogic of Meaning”), the position developed in the 1982 paper, "Referential Consistency as a Criterion of Meaning", has been substantively revised and several important corrections made. It is recommended that readers read (...) the revised and corrected version that appears in the book, CRITIQUE OF IMPURE REASON. ●●●●● -/- The book is available in a printed edition, ISBN 978-0-578-88646-6, from online booksellers such as Barnes & Noble, Amazon, and through independent bookstores. The book is also available as a freely downloadable _corrected second edition_ eBook, DOI: 10.5281/zenodo.5458352, through PhilSci, PhilPapers, HAL, and other online archives. ●●●●● -/- In addition to the above-mentioned book, readers may find "A Primer on Bartlett's CRITIQUE OF IMPURE REASON" to be useful as a guide to the nearly 900-page CRITIQUE. The primer is available as a free download through PhilPapers. ●●●●● -/- "Referential Consistency as a Criterion of Meaning" describes a logically compelling criterion of meaning — that is, a necessary condition of meaning, one which is non-arbitrary and compelling. One cannot _not_ accept the proposed criterion without self-referential inconsistency. This “metalogical” variety of self-referential inconsistency is new, opening a third category beyond semantical and pragmatical forms of self-referential inconsistency. ●●●●● -/- It is argued that such a criterion of meaning can serve as an instrument of internal criticism for any theoretical framework that permits reference to a class of objects. The paper combines the concern of the logical empiricists to formulate a rigorous meaning criterion, with the analytical interest in identifying and eliminating self-defeating statements through an analysis of the referential structure of theories. ●●●●● -/- The paper is followed by a list of other publications by the author that further develop and extend the ideas presented here. (shrink)

The psychological-ideological roots of philosophy. -/- ●●●●● 2022 UPDATE: The approach of this paper has been updated and developed further in Chapters 1 and 2 of the author’s 2021 book _Critique of Impure Reason: Horizons of Possibility and Meaning_. The book is available both in a printed edition (under ISBN 978-0-578-88646-6 from Barnes & Noble, Amazon, and other booksellers) and an Open Access eBook edition (available through Philpapers under the book’s title and other philosophy online archives).

From the Editor’s Introduction: "The Internal Limitations of Human Understanding." We carry, unavoidably, the limits of our understanding with us. We are perpetually confined within the horizons of our conceptual structure. When this structure grows or expands, the breadth of our comprehensions enlarges, but we are forever barred from the wished-for glimpse beyond its boundaries, no matter how hard we try, no matter how much credence we invest in the substance of our learning and mist of speculation. -/- The limitations (...) in view here are not due to the mere finitude of our understanding of ourselves and of the world in which we live. They are limitations that come automatically and necessarily with any form of understanding. They are, as we shall see, part and parcel of any organization or ordering of data that we call information. -/- The consequences of these limitations are varied: As a result of them, hermeneutics cannot help but be hermetic; scientific theories of necessity are circumscribed by the boundaries of the ideas that define them; formal systems must choose between consistency and comprehensiveness; philosophical study, because it includes itself within its own proper subject matter, is forced to be reflexive in its self-enclosure. The fundamental dynamic shared by all forms of understanding testifies to an internal limitative keystone. (shrink)

This article examines when deceptive withholding of information is ethically acceptable in research. The first half analyses the concept of deception. We argue that there are two types of accounts of deception: normative and non-normative, and argue that non-normative accounts are preferable. The second half of the article argues that the relevant ethical question which ethics committees should focus on is not whether the person from whom the information is withheld will be deceived, but rather on the reasonableness of withholding (...) the information from the person who is deceived. We further argue that the reasonableness of withholding information is dependent on the context. The last section examines how the context of research should shape our judgements about the circumstances in which withholding information from research participants is ethically acceptable. We argue that some important features of research make it more difficult to justify withholding information in the context of research than elsewhere. (shrink)

We show how an epistemology informed by cognitive science promises to shed light on an ancient problem in the philosophy of mathematics: the problem of exactness. The problem of exactness arises because geometrical knowledge is thought to concern perfect geometrical forms, whereas the embodiment of such forms in the natural world may be imperfect. There thus arises an apparent mismatch between mathematical concepts and physical reality. We propose that the problem can be solved by emphasizing the ways in which the (...) brain can transform and organize its perceptual intake. It is not necessary for a geometrical form to be perfectly instantiated in order for perception of such a form to be the basis of a geometrical concept. (shrink)

I remain unsatisfied by a lack of philosophical clarity among Báñezian authors on the nature of freedom. In a recent paper, I therefore posed a problem for Báñezianism that resembles what is called the “grounding problem” for Molinism: where do the truths about alternative possibilities come from? And I illustrated the problem in the context of the account of grace given by one famous defender of the view, Fr. Réginald Garrigou-Lagrange, whose work in turn was recently promoted by Taylor Patrick (...) O’Neill. O’Neill responds in this present journal issue to that paper, arguing that I failed to be attentive to distinctions drawn by Garrigou-Lagrange which would resolve the dilemma. However, I fear that O’Neill’s presentation of both the dilemma and his own resolution is conceptually confused. I will try to illustrate that O’Neill’s own responses are at many points either a concession to a certain fork of the dilemma that I posed in the original paper, or change the subject and fail to address my concerns except superficially. However, since at many points O’Neill implies that I reject Báñezianism, despite my explicit qualification in the paper that I do not, I will end by proposing what would constitute a sufficient response to the dilemma. (shrink)

This essay is my review of Philip Booth’s Wellbeing and the Role of Government. The book is an anthology of original articles by eminent researchers in modern happiness economics, such as: Booth himself; Paul Omerod; David Sacks, Betsey Stephenson, and Justin Wolfers; Christopher Snowden; J. R. Shackleton; Christian Bjornskov; Peter Boettke and Christopher Coyne; and Pedro Schwartz. I conclude by offering several criticisms of the work.

I bet you don’t practice your philosophical intuitions. What’s your excuse? If you think philosophical training improves the reliability of philosophical intuitions, then practicing intuitions should improve them even further. I argue that philosophers’ reluctance to practice their intuitions highlights a tension in the way that they think about the role of intuitions in philosophy.

This volume of new essays presents groundbreaking interpretations of some of the most central themes of Wittgenstein's philosophy. A distinguished group of contributors demonstrates how Wittgenstein's thought can fruitfully be applied to contemporary debates in epistemology, metaphilosophy and philosophy of language. The volume combines historical and systematic approaches to Wittgensteinian methods and perspectives, with essays providing detailed analysis that will be accessible to students as well as specialists. The result is a rich and illuminating picture of a key figure in (...) twentieth-century philosophy and his continuing importance to philosophical study. (shrink)

Isenbergian particularism is the view that we make no appeal to general principles in criticism. Sibleyan generalism is the view that we do make appeal to general reasons in criticism. I argue that Isenbergian particularism and Sibleyan generalism are compatible one with another. I refer to their conjunction as "critical compatibilism" and argue that we ought to accept it over its rivals: strong particularism (the view that we make appeal neither to general principles nor to general reasons in criticism) and (...) strong generalism (the view that we make appeal both to general principles and to general reasons in criticism). (shrink)

Jonathan Schaffer, among others, has argued that metaphysics should deal primarily with relations of " grounding. " I will follow John Heil in arguing that this view of metaphysics is problematic as it draws on ambiguous notions of grounding and fundamentality that are unilluminating as metaphysical explanations. I understand Heil to be arguing that grounding relations do not form a natural class, where a 'natural' class is one where some member of that class has (analytic or contingent a posteriori) priority (...) among others and explains order among other members in the class. To strengthen Heil's criticism that grounding is a non-natural class of relations, I will draw on an unlikely ally. St. Thomas Aquinas's " analogy of being " doctrine, if accurate, offers reasons that no categorical relations (like grounding relations) form a natural class. (shrink)

Pascal’s Wager does not exist in a Platonic world of possible gods, abstract probabilities and arbitrary payoffs. Real decision-makers, such as Pascal’s “man of the world” of 1660, face a range of religious options they take to be serious, with fixed probabilities grounded in their evidence, and with utilities that are fixed quantities in actual minds. The many ingenious objections to the Wager dreamed up by philosophers do not apply in such a real decision matrix. In the situation Pascal addresses, (...) the Wager is a good bet. In the situation of a modern Western intellectual, the reasoning of the Wager is still powerful, though the range of options and the actions indicated are not the same as in Pascal’s day. (shrink)

This article argues, against the still-prevailing interpretation of Leonardo Bruni’s De militia – that it is a defense of civic militias against the mercenary system – for an alternative view: that it represents an attempt to reform communal knighthood in accordance with ancient Greek political theory and Roman historical models. It thus aimed to make the reform of contemporary knighthood into an aspect of the revival of antiquity.

The problem of tragedy is the problem of explaining why tragedy gives us the pleasure that it does, given that it has the content that it has. I propose a series of constraints that any adequate solution to the problem must satisfy. Then I develop a solution to the problem that satisfies those constraints. But I do not claim that the solution I develop uniquely satisfies the constraints I propose. I aim merely to narrow the field of contending solutions, and (...) then to draw attention to an overlooked contended in that narrowed field. (shrink)

This short article provides intriguing evidence that the Bible was encoded by its original redactors. It then proposes innovative interpretations of some of the Bible's important words and stories.

This paper offers a new account of metaphysical explanation. The account is modelled on Kitcher’s unificationist approach to scientific explanation. We begin, in Sect. 2, by briefly introducing the notion of metaphysical explanation and outlining the target of analysis. After that, we introduce a unificationist account of metaphysical explanation before arguing that such an account is capable of capturing four core features of metaphysical explanations: irreflexivity, non-monotonicity, asymmetry and relevance. Since the unificationist theory of metaphysical explanation inherits irreflexivity and non-monotonicity (...) directly from the unificationist theory of scientific explanation that underwrites it, we focus on demonstrating how the account can secure asymmetry and relevance. (shrink)