School principals world-wide report high levels of strain and attrition resulting in a shortage of qualified principals. It is thus, crucial to identify psychosocial risk factors that reflect principals’ occupational wellbeing. For this purpose, we used the Copenhagen Psychosocial Questionnaire (COPSOQ-II), a widely used self-report measure covering multiple psychosocial factors identified by leading occupational stress theories. We evaluated the COPSOQ-II regarding factor structure and longitudinal, discriminant, and convergent validity using latent structural equation modeling in a large sample of Australian school (...) principals (N = 2,049). Results reveal that confirmatory factor analysis produced marginally acceptable model fit. A novel approach we call set exploratory structural equation modeling (ESEM-set), where cross-loadings were only allowed within a priori defined sets of factors, fit well, and was more parsimonious than a full ESEM. Further multitrait-multimethod models based on the set-ESEM confirm the importance of a principal’s psychosocial risk factors; Stressors and depression were related to demands and ill-being, while confidence and autonomy were related to wellbeing. We also show that working in the private sector was beneficial for showing a low psychosocial risk, while other demographics have little effects. Finally, we identify five latent risk profiles (high risk to no risk) of school principals based on all psychosocial factors. Overall the research presented here closes the theory application gap of a strong multi-dimensional measure of psychosocial risk-factors. (shrink)

Quick, accessible, compact guide to understanding key political concepts. Contents include: Liberty, Justice, Equality, Human rights, Social contract, Democracy, Monarchy, Anarchism, Capitalism, Socialism, Nationalism and Globalisation.

Demystifies complex philosophical ideas and debates in a comprehensive format that introduces the major theories of such great philosophers as Socrates, Aristotle, Plato, Friedrich Nietzsche, Epicurus, and Thomas Aquinas.

Demystifying the key ideas of the world's greatest philosophers, and exploring all of the most important branches of thought, including philosophy of science, philosophy of religion, and feminist philosophy in a uniquely visual way, this resource is the perfect introduction to the subject.

Can you master the ideas of Plato, Kant, Nietzsche and Sartre? What does 'I think, therefore I am' really mean? Do you know the arguments for and against the existence of god? And what do the great philosophers tell us about knowledge and truth, good and evil? Packed with bite-sized briefings, shortcuts and bluffs, Get Smart: Philosophy demystifies 50 key philosophical concepts and provides you with all you need to speak out about the very biggest ideas.

Demystifies complex philosophical ideas and debates in a comprehensive format that introduces the major theories of such great philosophers as Socrates, Aristotle, Plato, Friedrich Nietzsche, Epicurus, and Thomas Aquinas.

Philosophy in Minutes distils 200 of the most important philosophical ideas into easily digestible, bite-sized sections. The core information for every topic - including debates such as the role of philosophy in science and religion, key thinkers from Aristotle to Marx, and introductions to morality and ethics - is explained in straightforward language, using illustrations to make the concepts easy to understand and remember. Whether you are perplexed by existentialism or pondering the notion of free will, this accessible small-format book (...) will help any reader to quickly grasp the basics of this highly nuanced subject. Chapters include: Truth and logic, Marxism, Communism and Socialism, Ontology, Philosophy and literature, Existence of God, Feminist theory, Consciousness, The future of philosophy. (shrink)

The greatest minds of every generation advise on relationships, identity, life events, art and aesthetics, and politics. Everyday questions are answered from a number of philosophical points of view.

The formal sciences, particularly mathematics, have had a profound influence on the development of linguistics. This insightful overview looks at techniques that were introduced in the fields of mathematics, logic and philosophy during the twentieth century, and explores their effect on the work of various linguists. In particular, it discusses the 'foundations crisis' that destabilised mathematics at the start of the twentieth century, the numerous related movements which sought to respond to this crisis, and how they influenced the development of (...) syntactic theory in the 1950s. The book concludes by discussing the resulting major consequences for syntactic theory, and provides a detailed reassessment of Chomsky's early work at the advent of Generative Grammar. Informative and revealing, this book will be invaluable to all those working in formal linguistics, in particular those interested in its history and development. (shrink)

Kant’s revolutionary new approach to philosophy was accompanied by the introduction of a largely novel terminology. With the Kant-Lexikon, a lexical reference gives the modern reader access to his work on the basis of present-day editions and takes into account 20th century and contemporary research and advances in lexicology. The Kant-Lexikon includes 2395 entries authored by 221 scholars.

Marcus Giaquinto presents an investigation into the different kinds of visual thinking involved in mathematical thought, drawing on work in cognitive psychology, philosophy, and mathematics. He argues that mental images and physical diagrams are rarely just superfluous aids: they are often a means of discovery, understanding, and even proof.

This book treats modal logic as a theory, with several subtheories, such as completeness theory, correspondence theory, duality theory and transfer theory and is intended as a course in modal logic for students who have had prior contact with modal logic and who wish to study it more deeply. It presupposes training in mathematical or logic. Very little specific knowledge is presupposed, most results which are needed are proved in this book.

Following in a psychological and musicological tradition beginning with Leonard Meyer, and continuing through David Huron, we present a functional, cognitive account of the phenomenon of expectation in music, grounded in computational, probabilistic modeling. We summarize a range of evidence for this approach, from psychology, neuroscience, musicology, linguistics, and creativity studies, and argue that simulating expectation is an important part of understanding a broad range of human faculties, in music and beyond.

In the Critique of Pure Reason, Kant famously criticizes traditional metaphysics and its proofs of immortality, free will and God's existence. What is often overlooked is that Kant also explains why rational beings must ask metaphysical questions about 'unconditioned' objects such as souls, uncaused causes or God, and why answers to these questions will appear rationally compelling to them. In this book, Marcus Willaschek reconstructs and defends Kant's account of the rational sources of metaphysics. After carefully explaining Kant's conceptions (...) of reason and metaphysics, he offers detailed interpretations of the relevant passages from the Critique of Pure Reason in which Kant explains why reason seeks 'the unconditioned'. Willaschek offers a novel interpretation of the Transcendental Dialectic, pointing up its 'positive' side, while at the same time it uncovers a highly original account of metaphysical thinking that will be relevant to contemporary philosophical debates. (shrink)

I examine how co-parents should handle differing commitments about how to raise their child. Via thought experiment and the examination of our practices and affective reactions, I argue for a thesis about the locus of parental authority: that parental authority is invested in full in each individual parent, meaning that that the command of one parent is sufficient to bind the child to act in obedience. If this full-authority thesis is true, then for co-parents to command different things would be (...) for them to contest one another’s authority. The only course that respects the authority of both parents is for co-parents to agree to command the same thing. Further, what is commanded must not result from a ‘capitulation’ by one co-parent, rather, it should result from a compromise. Parental authority involves a duty to deliberate about which commands it is best to give the child. If a command results from a capitulation, one parent will rightly think of themselves as not having fulfilled their parental duty. Parental compromises are not best understood as bargains or conflicts, but by the metaphor of gifts given by each parent out of respect for the other’s authority. (shrink)

We argue that many intuitions do not have conscious propositional contents. In particular, many of the intuitions had in response to philosophical thought experiments, like Gettier cases, do not have such contents. They are more like hunches, urgings, murky feelings, and twinges. Our view thus goes against the received view of intuitions in philosophy, which we call Mainstream Propositionalism. Our positive view is that many thought-experimental intuitions are conscious, spontaneous, non-theoretical, non-propositional psychological states that often motivate belief revision, but they (...) require interpretation, in light of background beliefs, before a subject can form a propositional judgment as a consequence of them. We call our view Interpretationalism. We argue (i) that Interpretationalism avoids the problems that beset Mainstream Propositionalism and (ii) that our view meshes well with empirical results in contemporary cognitive science. (shrink)

Biometric facial recognition is an artificial intelligence technology involving the automated comparison of facial features, used by law enforcement to identify unknown suspects from photographs and closed circuit television. Its capability is expanding rapidly in association with artificial intelligence and has great potential to solve crime. However, it also carries significant privacy and other ethical implications that require law and regulation. This article examines the rise of biometric facial recognition, current applications and legal developments, and conducts an ethical analysis of (...) the issues that arise. Ethical principles are applied to mediate the potential conflicts in relation to this information technology that arise between security, on the one hand, and individual privacy and autonomy, and democratic accountability, on the other. These can be used to support appropriate law and regulation for the technology as it continues to develop. (shrink)

I claim that there is pro tanto moral reason for parents to not raise their child on a vegan diet because a vegan diet bears a risk of harm to both the physical and the social well-being of children. After giving the empirical evidence from nutrition science and sociology that supports this claim, I turn to the question of how vegan parents should take this moral reason into account. Since many different moral frameworks have been used to argue for veganism, (...) this is a complex question. I suggest that, on some of these moral frameworks, the moral reason that some parents have for not raising their child on a vegan diet on account of this risk is plausibly as strong as the reason they have for raising their child on a vegan diet. In other words, the moral reason I outline is weighty enough to justify some vegan parents in plausibly finding it permissible to not raise their child on a vegan diet. (shrink)

This article probes the practical ethical implications of AI system design by reconsidering the important topic of bias in the datasets used to train autonomous intelligent systems. The discussion draws on recent work concerning behaviour-guiding technologies, and it adopts a cautious form of technological utopianism by assuming it is potentially beneficial for society at large if AI systems are designed to be comparatively free from the biases that characterise human behaviour. However, the argument presented here critiques the common well-intentioned requirement (...) that, in order to achieve this, all such datasets must be debiased prior to training. By focusing specifically on gender-bias in Neural Machine Translation systems, three automated strategies for the removal of bias are considered – downsampling, upsampling, and counterfactual augmentation – and it is shown that systems trained on datasets debiased using these approaches all achieve general translation performance that is much worse than a baseline system. In addition, most of them also achieve worse performance in relation to metrics that quantify the degree of gender bias in the system outputs. By contrast, it is shown that the technique of domain adaptation can be effectively deployed to debias existing NMT systems after they have been fully trained. This enables them to produce translations that are quantitatively far less biased when analysed using gender-based metrics, but which also achieve state-of-the-art general performance. It is hoped that the discussion presented here will reinvigorate ongoing debates about how and why bias can be most effectively reduced in state-of-the-art AI systems. (shrink)

Marcus Giaquinto tells the compelling story of one of the great intellectual adventures of the modern era: the attempt to find firm foundations for mathematics. From the late nineteenth century to the present day, this project has stimulated some of the most original and influential work in logic and philosophy.

A wide range of non-pharmaceutical interventions (NPIs) have been introduced to stop or slow down the COVID-19 pandemic. Examples include school closures, environmental cleaning and disinfection, mask mandates, restrictions on freedom of assembly and lockdowns. These NPIs depend on coercion for their effectiveness, either directly or indirectly. A widely held view is that coercive policies need to be publicly justified—justified to each citizen—to be legitimate. Standardly, this is thought to entail that there is a scientific consensus on the factual propositions (...) that are used to support the policies. In this paper, we argue that such a consensus has been lacking on the factual propositions justifying most NPIs. Consequently, they would on the standard view be illegitimate. This is regrettable since there are good reasons for granting the state the legitimate authority to enact NPIs under conditions of uncertainty. The upshot of our argument is that it is impossible to have both the standard interpretation of the permissibility of empirical claims in public justification and an effective pandemic response. We provide an alternative view that allows the state sufficient room for action while precluding the possibility of it acting without empirical support. (shrink)

According to Ole Hjortland, Timothy Williamson, Graham Priest, and others, anti-exceptionalism about logic is the view that logic “isn’t special”, but is continuous with the sciences. Logic is revisable, and its truths are neither analytic nor a priori. And logical theories are revised on the same grounds as scientific theories are. What isn’t special, we argue, is anti-exceptionalism about logic. Anti-exceptionalists disagree with one another regarding what logic and, indeed, anti-exceptionalism are, and they are at odds with naturalist philosophers of (...) logic, who may have seemed like natural allies. Moreover, those internal battles concern well-trodden philosophical issues, and there is no hint as to how they are to be resolved on broadly scientific grounds. We close by looking at three of the founders of logic who may have seemed like obvious enemies of anti-exceptionalism—Aristotle, Frege, and Carnap—and conclude that none of their positions is clearly at odds with at least some of the main themes of anti-exceptionalism. We submit that, at least at present, anti-exceptionalism is too vague or underspecified to characterize a coherent conception of logic, one that stands opposed to more traditional approaches. (shrink)

Visual thinking -- visual imagination or perception of diagrams and symbol arrays, and mental operations on them -- is omnipresent in mathematics. Is this visual thinking merely a psychological aid, facilitating grasp of what is gathered by other means? Or does it also have epistemological functions, as a means of discovery, understanding, and even proof? By examining the many kinds of visual representation in mathematics and the diverse ways in which they are used, Marcus Giaquinto argues that visual thinking (...) in mathematics is rarely just a superfluous aid; it usually has epistemological value, often as a means of discovery. Drawing from philosophical work on the nature of concepts and from empirical studies of visual perception, mental imagery, and numerical cognition, Giaquinto explores a major source of our grasp of mathematics, using examples from basic geometry, arithmetic, algebra, and real analysis. He shows how we can discern abstract general truths by means of specific images, how synthetic a priori knowledge is possible, and how visual means can help us grasp abstract structures. Visual Thinking in Mathematics reopens the investigation of earlier thinkers from Plato to Kant into the nature and epistemology of an individual's basic mathematical beliefs and abilities, in the new light shed by the maturing cognitive sciences. Clear and concise throughout, it will appeal to scholars and students of philosophy, mathematics, and psychology, as well as anyone with an interest in mathematical thinking. (shrink)

This volume looks at the forms and functions of counterspeech as well as what determines its effectiveness and success from multidisciplinary perspectives. Counterspeech is in line with international human rights and freedom of speech and it can be a much more powerful tool against dangerous and toxic speech than blocking and censorship. In the face of online hate speech and disinformation, counterspeech is a tremendously important and timely topic. The book uniquely brings together expertise from a variety of disciplines. It (...) explores linguistic, ethical and legal aspects of counterspeech, looks at the functions and effectiveness of counterspeech from anthropological, practical and sociological perspectives and addresses the question of how we can use modern technological advances to make counterspeech a more instantaneous and efficient option to respond to harmful language online. The greatest benefit of counterspeech lies in the ability to reach bystanders and prevent them from becoming perpetrators themselves. This volume is an excellent opportunity to spread the word about counterspeech, its potential, importance, and future endeavors. This anthology is a great resource for scholars and students of linguistics, philosophy of language, media and communication studies, digital humanities, natural language processing, international human rights law, anthropology and sociology, and interdisciplinary research methods. It is also a valuable source of information for practitioners and anyone who wants to speak up against harmful speech. (shrink)

This article argues that existing approaches to programming ethical AI fail to resolve a serious moral-semantic trilemma, generating interpretations of ethical requirements that are either too semantically strict, too semantically flexible, or overly unpredictable. This paper then illustrates the trilemma utilizing a recently proposed ‘general ethical dilemma analyzer,’ GenEth. Finally, it uses empirical evidence to argue that human beings resolve the semantic trilemma using general cognitive and motivational processes involving ‘mental time-travel,’ whereby we simulate different possible pasts and futures. I (...) demonstrate how mental time-travel psychology leads us to resolve the semantic trilemma through a six-step process of interpersonal negotiation and renegotiation, and then conclude by showing how comparative advantages in processing power would plausibly cause AI to use similar processes to solve the semantic trilemma more reliably than we do, leading AI to make better moral-semantic choices than humans do by our very own lights. (shrink)

In this article I have two primary goals. First, I present two recent views on the distinction between knowledge-that and knowledge-how (Stanley and Williamson, The Journal of Philosophy 98(8):411–444, 2001; Hetherington, Epistemology futures, 2006). I contend that neither of these provides conclusive arguments against the distinction. Second, I discuss studies from neuroscience and experimental psychology that relate to this distinction. Having examined these studies, I then defend a third view that explains certain relevant data from these studies by positing the (...) double dissociation of knowledge-that and knowledge-how and that is also able to do explanatory work elsewhere. (shrink)

In this paper we will study the properties of the least extension n(Λ) of a given intermediate logic Λ by a strong negation. It is shown that the mapping from Λ to n(Λ) is a homomorphism of complete lattices, preserving and reflecting finite model property, frame-completeness, interpolation and decidability. A general characterization of those constructive logics is given which are of the form n(Λ). This summarizes results that can be found already in [13, 14] and [4]. Furthermore, we determine the (...) structure of the lattice of extensions of n(LC). (shrink)

Deep brain stimulation is an invasive technique designed to stimulate certain deep brain regions for therapeutic purposes and is currently used mainly in patients with neurodegenerative disorders, such as Parkinson’s disease. However, DBS is also used increasingly for other experimental applications, such as the treatment of psychiatric disorders, weight reduction. Apart from its therapeutic potential, DBS can cause severe adverse effects, some that might also have a significant impact on the patient’s personality and autonomy by the external stimulation of DBS (...) which effects lie beyond the individual’s control and free will. The article’s purpose is to outline the procedures of DBS currently used in therapeutic and experimental applications and to discuss the ethical concerns regarding this procedure. It will address the clinical benefit-risk-ratio, the particular ethics of research in this field, and the ethical issues raised by affecting a patient’s or an individual’s personality and autonomous behaviour. Moreover, a potential ethical guideline, the Ulysses contract is discussed for the field of clinical application as well as the question of responsibility. (shrink)

Many of Margaret Cavendish’s criticisms of Thomas Hobbes in the Philosophical Letters (1664) relate to the disorder and damage that she holds would result if Hobbesian pressure were the cause of visual perception. In this paper, I argue that her “two men” thought experiment in Letter IV is aimed at a different goal: to show the explanatory potency of her account. First, I connect Cavendish’s view of visual perception as “patterning” to the “two men” thought experiment in Letter IV. Second, (...) I provide a potential reply on Hobbes’s behalf that appeals to physiological differences between perceivers’ sense organs, drawing upon Hobbes’s optics in De homine. Third, I argue that such a reply would misunderstand Cavendish’s objective of showing the limited explanatory resources available in understanding visual perception as pressing when compared to her view of visual perception as patterning. (shrink)

The paper argues that ‘All varieties of gratitude are only overall fitting when targeted towards agents,’ for instance that any variety of gratitude for the beautiful sunset is only overall fitting if a supernatural agent such as God exists. The first premise is that ‘Prepositional gratitude is overall fitting only when targeted towards agents.’ For this premise, intuitive judgments are offered. The second premise is that ‘Prepositional gratitude is the paradigmatic variety of gratitude.’ For this premise, an aspect of the (...) common consent of philosophers about gratitude is noted and the metaphysical basicness of prepositional gratitude is argued for. This gives the intermediate conclusion that ‘The paradigmatic variety of gratitude is overall fitting only when targeted towards agents.’ The fourth premise is that ‘If the paradigmatic variety of gratitude is overall fitting only when targeted towards agents, then all varieties of gratitude are overall fitting only when targeted towards agents.’ To supply the conditional of this premise, the Paradigmatic Fittingness Principle is offered, which states that ‘Paradigmatic emotions set the fittingness conditions for their non-paradigmatic varieties.’ This principle is argued for by noting that it vindicates some popular and plausible intuitive judgements and gives an error theory of why one might think that gratitude could be fittingly targeted towards non-agents, and by suggesting the absence of any other plausible source of fittingness conditions for non-paradigmatic emotions. (shrink)

Marcus Aurelius' Meditations is a private notebook of philosophical reflections with universal significance. Drawing on Stoic philosophy, Marcus confronts challenges that affect us all in our struggle to live meaningful lives. This edition includes a selection of Marcus' correspondence with his tutor Fronto which complements the Meditations.

The possibility that autonomous weapons will be deployed on the battlefields of the future raises the challenge of determining who can be held responsible for how these weapons act. Robert Sparrow has argued that it would be impossible to attribute responsibility for autonomous robots' actions to their creators, their commanders, or the robots themselves. This essay reaches a much different conclusion. It argues that the problem of determining responsibility for autonomous robots can be solved by addressing it within the context (...) of the military chain of command. The military hierarchy is a system of distributing responsibility between decision makers on different levels and constraining autonomy. If autonomous weapons are employed as agents operating within this system, then responsibility for their actions can be attributed to their creators and their civilian and military superiors. (shrink)

This paper shows that non-normal modal logics can be simulated by certain polymodal normal logics and that polymodal normal logics can be simulated by monomodal (normal) logics. Many properties of logics are shown to be reflected and preserved by such simulations. As a consequence many old and new results in modal logic can be derived in a straightforward way, sheding new light on the power of normal monomodal logic.

Let X\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal{X }$$\end{document} be a set of outcomes, and let I\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal{I }$$\end{document} be an infinite indexing set. This paper shows that any separable, permutation-invariant preference order \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$$$\end{document} on XI\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal{X }^\mathcal{I }$$\end{document} admits an additive representation. That is: there exists a linearly ordered abelian group R\documentclass[12pt]{minimal} (...) \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal{R }$$\end{document} and a ‘utility function’ u:X⟶R\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$u:\mathcal{X }{{\longrightarrow }}\mathcal{R }$$\end{document} such that, for any x,y∈XI\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbf{x},\mathbf{y}\in \mathcal{X }^\mathcal{I }$$\end{document} which differ in only finitely many coordinates, we have x≽y\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbf{x}\succcurlyeq \mathbf{y}$$\end{document} if and only if ∑i∈Iu-u≥0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\sum _{i\in \mathcal{I }} \left[u-u\right]\ge 0$$\end{document}. Importantly, and unlike almost all previous work on additive representations, this result does not require any Archimedean or continuity condition. If \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$$$\end{document} also satisfies a weak continuity condition, then the paper shows that, for anyx,y∈XI\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbf{x},\mathbf{y}\in \mathcal{X }^\mathcal{I }$$\end{document}, we have x≽y\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbf{x}\succcurlyeq \mathbf{y}$$\end{document} if and only if ∗∑i∈Iu≥∗∑i∈Iu\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${}^*\!\sum _{i\in \mathcal{I }} u\ge {}^*\!\sum _{i\in \mathcal{I }}u$$\end{document}. Here, ∗∑i∈Iu\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${}^*\!\sum _{i\in \mathcal{I }} u$$\end{document} represents a nonstandard sum, taking values in a linearly ordered abelian group ∗R\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${}^*\!\mathcal{R }$$\end{document}, which is an ultrapower extension of R\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal{R }$$\end{document}. The paper also discusses several applications of these results, including infinite-horizon intertemporal choice, choice under uncertainty, variable-population social choice and games with infinite strategy spaces. (shrink)

The paper offers a three-premise argument that a person with first-hand experience of possession and exorcism, such as an exorcist, can have a justified belief in the existence of demons. (1) “Exorcism involves a process by which the exorcist comes to believe that testimony is offered by a demon.” Cited for (1) are the Gospels, the Roman Ritual, some modern cases of exorcism, and exorcism practices in non-Christian contexts. (2) “If defeaters are absent, the exorcist may treat as reliable the (...) process by which he comes to believe that testimony is offered by a demon.” For (2) a case is offered that we have a reliable ability to identify when testimony is being offered and when it is being offered by particular types of agents, what is termed testifier-identification. (3) “In many cases of exorcism, defeaters are absent.” An inductive case is given for (3) by responding to possible defeaters, including several suggested recently by David Kyle Johnson. Therefore, in many cases of exorcism the exorcist may treat as reliable the processes by which he comes to believe that testimony is offered by a demon, and so can have a justified belief in the existence of demons. (shrink)

Marcus Giaquinto traces the story of the search for firm foundations for mathematics. The nineteenth century saw a movement to make higher mathematics rigorous; this seemed to be on the brink of success when it was thrown into confusion by the discovery of the class paradoxes. That initiated a period of intense research into the foundations of mathematics, and with it the birth of mathematical logic and a new, sharper debate in the philosophy of mathematics. The Search for Certainty (...) focuses mainly on two major twentieth-century programmes: Russell's logicism and Hilbert's finitism. Giaquinto examines their philosophical underpinnings and their outcomes, asking how successful they were, and how successful they could be, in placing mathematics on a sound footing. He sets these questions in the context of a clear, non-technical exposition and assessment of the most important discoveries in mathematical logic, above all Gödel's underivability theorems.More than six decades after those discoveries Giaquinto asks what our present perspective should be on the question of certainty in mathematics. Taking recent developments into account, he gives reasons for a surprisingly positive response. (shrink)

The recent alleged doping case of the figure skater Kamila Valieva at the Winter Olympic Games in Beijing 2022 dramatically raised the issue of the protection of minors in anti-doping policy. We firstly present the literature on doping in relation to minors. Secondly, we present WADA’s Protected Person (PP) concept and its implications. Thirdly, we analyse the WADA Code’s purpose and the vulnerability of minors under the Code, and fourthly, we identify the real threats from which minors should be protected (...) by analysing the ineffective PP concept, and showing how it cannot be a real protection. We explain how preventing one threat can generate another, thus converting minor athletes from victims into suspects. We conclude by stressing the necessity for further research, and we indicate our future research direction, towards the development of a much wider concept of protection, and its application into sporting contexts. (shrink)

The effect of violent video games is among the most widely discussed topics in media studies, and for good reason. These games are immensely popular, but many seem morally objectionable. Critics attack them for a number of reasons ranging from their capacity to teach players weapons skills to their ability to directly cause violent actions. This essay shows that many of these criticisms are misguided. Theoretical and empirical arguments against violent video games often suffer from a number of significant shortcomings (...) that make them ineffective. This essay argues that video games are defensible from the perspective of Kantian, Aristotelian, and utilitarian moral theories. (shrink)

The paper offers an account of luck, fate, and fortune. It begins by showing that extant accounts of luck are deficient because they do not identify the genus of which luck is a species. That genus of properties, the tychic, alert an agent to occasions on which the external world cooperates with or frustrates their goal-achievement. An agent’s sphere of competence is the set of goals that it is possible for them to reliably achieve. Luck concerns occasions on which there (...) is a mismatch between attempt and result; in bad luck the external world thwarts goal-achievement within the agent’s sphere of competence, in good luck the external world assists goal-achievement beyond the agent’s sphere of competence. Fateful events are those where, more passively, the agent finds the external world achieving or frustrating their goals. Fortune concerns the contraction and expansion of the agent’s sphere of competence. Eight reasons are given for accepting the account; its theoretical virtues and various things it explains. Lastly, three objections are answered; that the tychic properties relate to well-being rather than agency, that there are alternative theories of fortune available in the contemporary literature, that the account draws arbitrary distinctions between synonyms. (shrink)

The paper argues that ‘All varieties of gratitude are only overall fitting when targeted towards agents,’ for instance that any variety of gratitude for the beautiful sunset is only overall fitting if a supernatural agent such as God exists. The first premise is that ‘Prepositional gratitude is overall fitting only when targeted towards agents.’ For this premise, intuitive judgments are offered. The second premise is that ‘Prepositional gratitude is the paradigmatic variety of gratitude.’ For this premise, an aspect of the (...) common consent of philosophers about gratitude is noted and the metaphysical basicness of prepositional gratitude is argued for. This gives the intermediate conclusion that ‘The paradigmatic variety of gratitude is overall fitting only when targeted towards agents.’ The fourth premise is that ‘If the paradigmatic variety of gratitude is overall fitting only when targeted towards agents, then all varieties of gratitude are overall fitting only when targeted towards agents.’ To supply the conditional of this premise, the Paradigmatic Fittingness Principle is offered, which states that ‘Paradigmatic emotions set the fittingness conditions for their non-paradigmatic varieties.’ This principle is argued for by noting that it vindicates some popular and plausible intuitive judgements and gives an error theory of why one might think that gratitude could be fittingly targeted towards non-agents, and by suggesting the absence of any other plausible source of fittingness conditions for non-paradigmatic emotions. (shrink)