A number of philosophers have recently suggested that some abstract, plausibly non-causal and/or mathematical, explanations explain in a way that is radically dif- ferent from the way causal explanation explain. Namely, while causal explanations explain by providing information about causal dependence, allegedly some abstract explanations explain in a way tied to the independence of the explanandum from the microdetails, or causal laws, for example. We oppose this recent trend to regard abstractions as explanatory in some sui generis way, and argue (...) that a prominent ac- count of causal explanation can be naturally extended to capture explanations that radically abstract away from microphysical and causal-nomological details. To this end, we distinguish di erent senses in which an explanation can be more or less abstract, and analyse the connection between explanations’ abstractness and their explanatory power. According to our analysis abstract explanations have much in common with counterfactual causal explanations. (shrink)
Probabilism is committed to two theses: 1) Opinion comes in degrees—call them degrees of belief, or credences. 2) The degrees of belief of a rational agent obey the probability calculus. Correspondingly, a natural way to argue for probabilism is: i) to give an account of what degrees of belief are, and then ii) to show that those things should be probabilities, on pain of irrationality. Most of the action in the literature concerns stage ii). Assuming that stage i) has been (...) adequately discharged, various authors move on to stage ii) with varied and ingenious arguments. But an unsatisfactory response at stage i) clearly undermines any gains that might be accrued at stage ii) as far as probabilism is concerned: if those things are not degrees of belief, then it is irrelevant to probabilism whether they should be probabilities or not. In this paper we scrutinize the state of play regarding stage i). We critically examine several of the leading accounts of degrees of belief: reducing them to corresponding betting behavior (de Finetti); measuring them by that behavior (Jeffrey); and analyzing them in terms of preferences and their role in decision-making more generally (Ramsey, Lewis, Maher). We argue that the accounts fail, and so they are unfit to subserve arguments for probabilism. We conclude more positively: ‘degree of belief’ should be taken as a primitive concept that forms the basis of our best theory of rational belief and decision: probabilism. (shrink)
ABSTRACT Our aim in this article is to offer a new justification for preferring theories that are more quantitatively parsimonious than their rivals. We discuss cases where it seems clear that those involved opted for more quantitatively parsimonious theories. We extend previous work on quantitative parsimony by offering an independent probabilistic justification for preferring the more quantitatively parsimonious theories in particular episodes of theory choice. Our strategy allows us to avoid worries that other considerations, such as pragmatic factors of computational (...) tractability and so on, could be the driving ones in the historical cases under consideration. _1_ Introduction _2_ Three Desiderata _2.1_ Limiting _2.2_ Robustness _2.3_ Breadth _2.3.1_ A limited success for Baker _2.3.2_ Rejecting Baker’s analysis _2.4_ The proposal _3_ Probabilistically Additive Hypotheses and a Bayesian Account: The Limpid Rationale Relativized and Reconsidered _3.1_ Neutrinos and beta decay _3.2_ Avogadro’s hypothesis _3.3_ Postulation of Neptune _4_ Conclusion. (shrink)
The notions of ground and ontological dependence have made a prominent resurgence in much of contemporary metaphysics. However, objections have been raised. On the one hand, objections have been raised to the need for distinctively metaphysical notions of ground and ontological dependence. On the other, objections have been raised to the usefulness of adding ground and ontological dependence to the existing store of other metaphysical notions. Even the logical properties of ground and ontological dependence are under debate. In this article, (...) I focus on how to account for the judgements of non-symmetry in several of the cases that motivate the introduction of notions like ground and ontological dependence. By focusing on the notion of explanation relative to a theory, I conclude that we do not need to postulate a distinctively asymmetric metaphysical notion in order to account for these judgements. (shrink)
Kant has famously argued that monogamous marriage is the only relationship where sexual use can take place "without degrading humanity and breaking the moral laws." Kantian marriage, however, has been the target of fierce criticisms by contemporary things: it has been regarded as flawed and paradoncal, as being deeply at odds with feminism, and, at best, as plainly uninteresting. In this paper, I argue that Kantian marriage can indeed survive these criticisms. Finally, the paper advances the discussion beyond marriage. Drawing (...) on Kant 's conception of friendship, I suggest that he might have overlooked the possibility of sex being morally permissible in yet another context. (shrink)
The problem of explanatory non-symmetries provides the strongest reason to abandon the view that laws can figure in explanations without causal underpinnings. I argue that this problem can be overcome. The solution that I propose starts from noticing the importance of conditions of application when laws do explanatory work, and I go on to develop a notion of nomological dependence that can tackle the non-symmetry problem. The strategy is to show how a strong notion of counterfactual dependence as guaranteed by (...) the laws is a plausible account of what we aim towards when we give law-based explanations. The aim of this project is not to deny that causal relations can do explanatory work but to restore laws of nature as capable of being explanatory even in the absence of any knowledge of causal underpinnings. (shrink)
Objectification is a notion central to contemporary feminist theory. It has famously been associated with the work of anti-pornography feminists Catharine MacKinnon and Andrea Dworkin, and more recently with the work of Martha Nussbaum. However, objectification is a notion that has not yet been adequately defined. It has been used rather vaguely to refer to a broad range of cases involving, in some way or another, the treatment of a person as an object. My purpose in this paper is to (...) offer a plausible understanding of objectification. I do that by focusing on the work of four prominent thinkers: Immanuel Kant, and contemporary feminists Catharine MacKinnon, Andrea Dworkin and Martha Nussbaum. Through drawing on these thinkers' conceptions of objectification, I am finally led to a more complete and coherent understanding of this notion. (shrink)
The paper’s target is the historically influential betting interpretation of subjective probabilities due to Ramsey and de Finetti. While there are several classical and well-known objections to this interpretation, the paper focuses on just one fundamental problem: There is a sense in which degrees of belief cannot be interpreted as betting rates. The reasons differ in different cases, but there’s one crucial feature that all these cases have in common: The agent’s degree of belief in a proposition A does not (...) coincide with her degree of belief in a conditional that A would be the case if she were to bet on A, where the belief in this conditional itself is conditioned on the supposition that the agent will have an opportunity to make such a bet. Even though the two degrees of belief sometimes can coincide (they will coincide in those cases when the bet has no expected causal bearings on the proposition A and the opportunity to bet have no evidential bearings on that proposition), it is the latter belief rather than the former that guides the agent’s rational betting behaviour. The reason is that this latter belief takes into consideration potential interferences that bet opportunities and betting itself might create with regard to the proposition to be betted on. It is because of this interference problem that the agent’s degree of belief in A cannot be interpreted as her betting rate for A. (shrink)
Everettian quantum mechanics faces the challenge of how to make sense of probability and probabilistic reasoning in a setting where there is typically no unique outcome of measurements. Wallace has built on a proof by Deutsch to argue that a notion of probability can be recovered in the many worlds setting. In particular, Wallace argues that a rational agent has to assign probabilities in accordance with the Born rule. This argument relies on a rationality constraint that Wallace calls state supervenience. (...) I argue that state supervenience is not defensible as a rationality constraint for Everettian agents unless we already invoke probabilistic notions. (shrink)
At the heart of Kantian theory lies the prohibition against treating humanity merely as a means. Two of the most influential interpretations of what this means are Wood's and O'Neill's. Drawing on these thinkers' ideas, Kerstein formulates two accounts of what is involved in the idea of treating a person merely as a means: the and accounts. Kerstein's attempt is to show that they are problematic. He introduces his to alleviate the problems they face. I argue that the end-sharing and (...) possible consent accounts are not vulnerable to Kerstein's criticism. However, they both face a shortcoming: they fail to support the Kantian conclusion that the prostitute and the servile person are treated merely as means. Through reconstructing these accounts, I surmount this difficulty. Moreover, my proposal helps Kerstein's own account overcome a problem he admits it has, without the need to resort to consequentialism. (shrink)
Norms are a pervasive yet mysterious feature of social life. In Explaining Norms, four philosophers and social scientists team up to grapple with some of the many mysteries, offering a comprehensive account of norms: what they are; how and why they emerge, persist and change; and how they work.
Temporal dynamics have been increasingly recognized as an important component of facial expressions. With the need for appropriate stimuli in research and application, a range of databases of dynamic facial stimuli has been developed. The present article reviews the existing corpora and describes the key dimensions and properties of the available sets. This includes a discussion of conceptual features in terms of thematic issues in dataset construction as well as practical features which are of applied interest to stimulus usage. To (...) identify the most influential sets, we further examine their citation rates and usage frequencies in existing studies. General limitations and implications for emotion research are noted and future directions for stimulus generation are outlined. (shrink)
In this paper I argue that Newton’s stance on explanation in physics was enabled by his overall methodology and that it neither committed him to embrace action at a distance nor to set aside philosophical and metaphysical questions. Rather his methodology allowed him to embrace a non-causal, yet non-inferior, kind of explanation. I suggest that Newton holds that the theory developed in the Principia provides a genuine explanation, namely a law-based one, but that we also lack something explanatory, namely a (...) causal account of the explanandum. Finally, I argue that examining what it takes to have law-based explanation in the face of agnosticism about the causal process makes it possible to recast the debate over action at a distance between Leibniz and Newton as empirically and methodologically motivated on both sides. (shrink)
We posit a key goal of firms’ corporate social responsibility efforts is to influence reputation through carefully crafted communicative practices. This trend has accelerated with the rise of social media such as Twitter and Facebook, which are essentially public message networks that organizations are leveraging to engage with concerned audiences. Given the large number of messages sent on these sites, only some will be effective and achieve broad public resonance. Building on signaling theory, this paper asks whether and how messages (...) conveying CSR-related topics resonate with the public and, if so, which CSR topics and signal qualities are most effective. We test our hypotheses using data on public reactions to Fortune 500 companies’ CSR-focused Twitter feeds, using the retweeting of firms’ messages as a proxy for public resonance. We find resonance is positively associated with messages that convey CSR topics such as the environment or education, those that make the topic explicit through use of hashtags, and those that tap into existing social movement discussions. (shrink)
What is the relation between norms (in the sense of ?socially accepted rules?) and conventions? A number of philosophers have suggested that there is some kind of conceptual or constitutive relation between them. Some hold that conventions are or entail special kinds of norms (the ?conventions-as-norms thesis?). Others hold that at least some norms are or entail special kinds of conventions (the ?norms-as-conventions thesis?). We argue that both theses are false. Norms and conventions are crucially different conceptually and functionally in (...) ways that make it the case that it is a serious mistake to try to assimilate them. They are crucially different conceptually in that whereas conventions are not normative and are behaviour dependent and desire dependent, norms are normative, behaviour independent, and desire independent. They are crucially different functionally in that whereas conventions principally serve the function of facilitating coordination, norms principally serve the function of making us accountable to one another. (shrink)
This article examines how the interactive capabilities of companion robots, particularly their materiality and animate movements, appeal to human users and generate an image of aliveness. Building on Husserl’s phenomenological notion of a ‘double body’ and theories of emotions as affective responses, we develop a new understanding of the robots’ simulated aliveness. Analyzing empirical findings of a field study on the use of the robot Zora in care homes for older people, we suggest that the aliveness of companion robots is (...) the result of a combination of four aspects: 1) material ingredients, 2) morphology, 3) animate movements guided by software programs and human operators as in Wizard of Oz-settings and 4) anthropomorphising narratives created by their users to support the robot’s performance. We suggest that narratives on affective states, such as, sleepiness or becoming frightened attached to the robot trigger users’ empathic feelings, caring and tenderness toward the robot. (shrink)
This paper examines how a standardized question is launched and received in a corpus of performance appraisal interviews, with a focus on how pre-formulated questions are translated into interaction. Using conversation analysis, we demonstrate that the same question becomes many different actions in practice. Prefaces as well as prosodic and lexical alterations make relevant different responses, and as such, the question can be recruited to initiate diverse interactional projects such as assessments and other socially delicate activities. As a consequence, goals (...) of uniformity and standardization may be subverted. The interactional adaptations further evidence the strength of recipient design as reformulations also result in more fitted and personalized answers. Our study contributes to the understanding of standardization versus interactionalization, and points to the strong interrelationship between question design and the fitting of response options. (shrink)
This article empirically investigates how Chinese executives and managers perceive and interpret corporate social responsibility (CSR), to what extent firms' productive characteristics influence managers' attitudes towards their CSR rating, and whether their values in favour of CSR are positively correlated to firms' economic performance. Although a large proportion of respondents express a favourable view of CSR and a willingness to participate in socially responsible activities, we find that the true nature of their assertion is linked to entrepreneurs' instincts of gaining (...) economic benefits. It is the poorly performing firms, or rather, firms with vulnerable indicators -smaller in size, State-owned, producing traditional goods and located in poorer regions that are more likely to have managers who opt for a higher CSR rating. Managers' personal characteristics per se are not significant in determining their CSR choice. Moreover, controlling for other observed variables, we find that managers' CSR orientation is positively correlated with their firms' performance. The better-off a firm is, the more likely its manager is to get involve in CSR activities. Firms with better economic performance before their restructuring would sustain higher postrestructuring performance. (shrink)
Twenty-five years ago, robotics guru Joseph Engelberger had a mission to motivate research teams all over the world to design the ‘Elderly Care Giver’, a multitasking personal robot assistant for everyday care needs in old age. In this article, we discuss how this vision of omnipotent care robots has influenced the design strategies of care robotics, the development of R&D initiatives and ethics research on use of care robots. Despite the expectations of robots revolutionizing care of older people, the role (...) of robots in human care has remained marginal. The value of world trade in service robots, including care robots, is rather small. We argue that the implementation of robots in care is not primarily due to negative user attitudes or ethical problems, but to problems in R&D and manufacturing. The care robots currently available on the market are capable of simple, repetitive tasks or colloquial interaction. Thus far, also research on care robots is mostly conducted using imaginary scenarios or small-scale tests built up for research purposes. To develop useful and affordable robot solutions that are ethically, socially and ecologically sustainable, we suggest that robot initiatives should be evaluated within the framework of care ecosystems. This implies that attention has to be paid to the social, emotional and practical contexts in which care is given and received. Also, the political, economic and ecological realities of organizing care and producing technological commodities have to be acknowledged. It is time to openly discuss the drivers behind care robot initiatives to outline the bigger picture of organizing care under conditions of limited resources. (shrink)
In this paper, a method of fault diagnosis and fault-tolerant tracking control is investigated for non-Gaussian nonlinear stochastic distribution control systems with missing measurements. The phenomenon of the randomly occurring missing measurements is described as a Bernoulli process. The missing measurements during transmission are compensated with the data successfully transmitted at the previous moment. The residual signal of the fault diagnosis observer is different from that of the general system. Using the integral of the error of the output probability density (...) function as the driving information, the system state and fault can be estimated by an adaptive fault diagnosis observer. Then, a novel fault-tolerant tracking controller is designed based on a discrete-time 2-order sliding mode to make the post-fault PDF still track the target. Two simulated examples are included to illustrate the effectiveness of the theoretical results. (shrink)
Con la crisis del paradigma newtoniano a principios del siglo XX, vemos surgir unacercamiento entre la ciencia, la religión y el misticismo, alentado por algunos delos físicos cuánticos más destacados, asimismo, la epistemología se vio afectaday a lo largo del siglo XX se entabló una discusión en torno a la objetividad del conocimientoy la construcción socio-lingüística de la realidad. Con este trasfondo,la experiencia mística será objeto de estudio por la epistemología, que desde unaperspectiva constructivista afirmará el carácter mediado de este (...) tipo de experiencias.Sin embargo, una revisión de esta postura muestra que es necesarioconceder un carácter singular a la experiencia mística, que a su vez permite unacomprensión renovada de la experiencia mística. (shrink)
in Undetermined On an influential interpretation, the agent's degrees of belief asr identified with her betting rates. However, being placed in a betting situation can itself change one’s degree of belief in the proposition in question. The problem as such isn’t new. Ramsey, for example, was right on to this idea when he wrote: "… the proposal of a bet may inevitably alter [one’s] state of opinion; just as we could not always measure electric intensity by actually introducing a charge (...) and seeing what force it was subject to, because the introduction of the charge would change the distribution to be measured." This ‘interference problem’ for the betting interpretation can best be put in the following way: The bets we are disposed to accept do not manifest our current unconditional degrees of belief in various propositions. Whether a bet on A would be accepted or not does not depend on the agent’s degree of belief in A but rather on the degree of belief she would have if she were confronted with this bet proposal, or – more generally – the degree of belief she would have if she were in a position to bet on A. Assuming the conditionalization model for belief change, this means that whether the agent would be willing to bet depends on her current conditional beliefs concerning A on the hypothetical supposition that she has an opportunity to make this bet. Furthermore, her disposition to bet also depends on the expected effects the act of betting would have on the truth of the proposition to be betted on. Both these phenomena imply that finding oneself in a betting situation might alter one’s expectations in important ways. Consequently, the identification of degrees of belief with betting rates is a mistake. We show that this problem comes up in several different versions, or – equivalently – that different kinds of arguments against the betting interpretation stem from the same source. (shrink)
Many paradoxes have been revealed in the theory of democracy over the years. This article points to yet another paradox at the heart of democracy, whether in its aggregative or deliberative form.The paradox is this: If you are dealing with a large and heterogeneous community, in which people's choices are menu-sensitive in diverse ways, and if people's cognitive capacities preclude them from considering all items on a large menu simultaneouslythen individuals’ choices may be unstable and manipulable depending on how choices (...) over cognitively-manageable subsets of the menu are partitioned and sequenced, 1 and the collective choice may be likewise unstable and manipulable in consequence.Aggregative democracy casts this argument in terms of ‘alternatives’ on the menu for choice. Deliberative democracy casts this argument in terms of ‘considerations’. The same formal problem arises in both cases. (shrink)
There are a number of existing classifications and staging schemes for carcinomas, one of the most frequently used being the TNM classification. Such classifications represent classes of entities which exist at various anatomical levels of granularity. We argue that in order to apply such representations to the Electronic Health Records one needs sound ontologies which take into consideration the diversity of the domains which are involved in clinical bioinformatics. Here we outline a formal theory for addressing these issues in a (...) way that the ontologies can be used to support inferences relating to entities which exist at different anatomical levels of granularity. Our case study is the colon carcinoma, one of the most common carcinomas prevalent within the European population. (shrink)
In this paper, we analyze and calculate the crowd density in a tourist area utilizing video surveillance dynamic information analysis and divide the crowd counting and density estimation task into three stages. In this paper, novel scale perception module and inverse scale perception module are designed to further facilitate the mining of multiscale information by the counting model; the main function of the third stage is to generate the population distribution density map, which mainly consists of three columns of void (...) convolution with different void rates and generates the final population distribution density map using the feature maps of different branch regressions. Also, the algorithm uses jump connections between the top convolution and the bottom void convolution layers to reduce the risk of network gradient disappearance and gradient explosion and optimizes the network parameters using an intermediate supervision strategy. The hierarchical density estimator uses a hierarchical strategy to mine semantic features and multiscale information in a coarse-to-fine manner, and this is used to solve the problem of scale variation and perspective distortion. Also, considering that the background noise affects the quality of the generated density map, the soft attention mechanism is integrated into the model to stretch the distance between the foreground and background to further improve the quality of the density map. Also, inspired by multitask learning, this paper embeds an auxiliary count classifier in the count model to perform the count classification auxiliary task and to increase the model’s ability to express semantic information. Numerous experimental results demonstrate the effectiveness and feasibility of the proposed algorithm in solving the problems of scale variation and perspective distortion. (shrink)
I argue that we should solve the Lottery Paradox by denying that rational belief is closed under classical logic. To reach this conclusion, I build on my previous result that (a slight variant of) McGee’s election scenario is a lottery scenario (see Lissia 2019). Indeed, this result implies that the sensible ways to deal with McGee’s scenario are the same as the sensible ways to deal with the lottery scenario: we should either reject the Lockean Thesis or Belief Closure. After (...) recalling my argument to this conclusion, I demonstrate that a McGee-like example (which is just, in fact, Carroll’s barbershop paradox) can be provided in which the Lockean Thesis plays no role: this proves that denying Belief Closure is the right way to deal with both McGee’s scenario and the Lottery Paradox. A straightforward consequence of my approach is that Carroll’s puzzle is solved, too. (shrink)
Vann McGee has presented a putative counterexample to modus ponens. After clarifying that McGee actually targets an epistemic version of such a principle, I show that, contrary to a view commonly held in the literature, assuming the material conditional as an interpretation of the natural language conditional “if … then …” does not dissolve the puzzle. Indeed, I provide a slightly modified version of McGee’s famous election scenario in which (1) the relevant features of the scenario are preserved and (2) (...) both (epistemic) modus ponens and modus tollens fail, even if we assume the material conditional. I go on to note that in the modified scenario (which I call “the restaurant scenario”) (epistemic) conjunction introduction does not hold. More specifically, I show that the restaurant scenario is actually a version of the lottery scenario Kyburg uses in his Lottery Paradox. One main conclusion ensues, according to which we should expect a unified solution to both McGee’s puzzle and the Lottery Paradox. This conclusion defies the existing accounts of McGee’s puzzle. (shrink)
The article analyzes the discursive establishment of the miracle in the religious sensibilities of the population of the Nuevo Reino de Granada, the Spanish American colony Empire, based in Bogota, during the sixteenth, seventeenth and eighteenth centuries. He turned to the identification of miraculous events both in the territory as the reports and descriptions of them are made in relationships or travel diaries written by clerics of different regular and secular orders and a typology of the facts identified was performed. (...) The methodology was oriented from three views of miracles: the discursive construction from the social appropriation of these phenomena, the popular acceptance of an unexpected event and symbolic configuration that these were in the process of social cohesion between this and other provinces of Nueva Granada territory; also four categories of miracles were identified: those of an image on itself, assistance, physical and thaumaturgic; these, in turn, were grouped as impersonal, individual or collective. (shrink)
Podría pensarse que el discurso epistemológico no puede abordar la experiencia mística, sin embargo desde el siglo XX diversos autores se han dado a la tarea de formular modelos epistemológicos que permitan comprender el estatus epistemológico de dicha experiencia. A partir del auge de perspectivas lingüísticas y sociológicas que se apoyaron en la filosofía de Wittgenstein y en la importancia que éste dio al lenguaje, a la experiencia que en él se expresa y a la comunidad que se entiende con (...) este lenguaje, el modelo constructivista dominó las discusiones epistemológicas sobre la experiencia mística. Sin embargo, este modelo también fue criticado desde varias perspectivas que consideraban que el constructivismo terminaba por reducir la experiencia a la doctrina. A partir de un análisis de este debate, el presente artículo argumenta a favor de un modelo naturalizado y propone algunos criterios para su constitución; muestra, también, la pertinencia de este modelo para una concepción epistemológica de la experiencia mística. (shrink)
This article discusses Leo Tolstoy’s view of the Russian revolutionary movement. Taking as a focal point the writer’s lifelong interest in the Decembrist uprising of 1825 and particularly in the personalities of the gentry revolutionaries, the article argues that Tolstoy’s fascination for these figures was due to their superior moral qualities, rather than to their political and socioeconomic doctrines. Following Alexander Herzen, Tolstoy came to regard the Decembrists as full-fledged individualities and “beautiful souls”. Thus, Tolstoy’s much debated “conversion” and subsequent (...) attempts to transform literary art into a medium of religious and moral reform can also be viewed as extensions of his project of self-understanding and self-formation according to the model of kalokagathia provided by Russia’s aristocratic revolutionaries. (shrink)
This article discusses Leo Tolstoy’s view of the Russian revolutionary movement. Taking as a focal point the writer’s lifelong interest in the Decembrist uprising of 1825 and particularly in the personalities of the gentry revolutionaries, the article argues that Tolstoy’s fascination for these figures was due to their superior moral qualities, rather than to their political and socioeconomic doctrines. Following Alexander Herzen, Tolstoy came to regard the Decembrists as full-fledged individualities and “beautiful souls”. Thus, Tolstoy’s much debated “conversion” and subsequent (...) attempts to transform literary art into a medium of religious and moral reform can also be viewed as extensions of his project of self-understanding and self-formation according to the model of kalokagathia provided by Russia’s aristocratic revolutionaries. (shrink)
How does an emerging community of faith develop its identity in the context of a semi-hostile and increasingly nationalistic culture? The story of the early years of Lithuanian-speaking Baptists provides an interesting and informative case study. This article focusses on the formative stage of the Lithuanian-speaking Baptist movement during the interwar period of the independent Republic of Lithuania. It considers four main factors which contributed to the formation of Lithuanian-speaking Baptist identity: different ethnic and cultural groupings amongst Baptists in Lithuania; (...) the role of the global Baptist family in providing both material and ideological support; the community’s relationship with the Lithuanian state; and their stance towards the dominant religious context, i.e. the Lithuanian Catholic Church. Out of this dynamic emerges a picture of the particular ways in which these congregations, and especially their leadership, navigated their understanding of loyalty to the Kingdom of God in relation to their belonging to a particular national grouping. (shrink)