Decision theorists widely accept a stochastic dominance principle: roughly, if a risky prospect A is at least as probable as another prospect B to result in something at least as good, then A is at least as good as B. Recently, philosophers have applied this principle even in contexts where the values of possible outcomes do not have the structure of the real numbers: this includes cases of incommensurable values and cases of infinite values. But in these contexts (...) the usual formulation of stochastic dominance is wrong. We show this with several counterexamples. Still, the motivating idea behind stochastic dominance is a good one: it is supposed to provide a way of applying dominance reasoning in the stochastic context of probability distributions. We give two new formulations of stochastic dominance that are more faithful to this guiding idea, and prove that they are equivalent. (shrink)

ABSTRACTThis paper addresses the problem of opaque sweetening and argues that one should use stochastic dominance in comparing lotteries even when dealing with incomplete orderings that allow for non-comparable outcomes.

The principle that rational agents should maximize expected utility or choiceworthiness is intuitively plausible in many ordinary cases of decision-making under uncertainty. But it is less plausible in cases of extreme, low-probability risk (like Pascal's Mugging), and intolerably paradoxical in cases like the St. Petersburg and Pasadena games. In this paper I show that, under certain conditions, stochastic dominance reasoning can capture most of the plausible implications of expectational reasoning while avoiding most of its pitfalls. Specifically, given sufficient (...) background uncertainty about the choiceworthiness of one's options, many expectation-maximizing gambles that do not stochastically dominate their alternatives "in a vacuum" become stochastically dominant in virtue of that background uncertainty. But, even under these conditions, stochastic dominance will not require agents to accept options whose expectational superiority depends on sufficiently small probabilities of extreme payoffs. The sort of background uncertainty on which these results depend looks unavoidable for any agent who measures the choiceworthiness of her options in part by the total amount of value in the resulting world. At least for such agents, then, stochastic dominance offers a plausible general principle of choice under uncertainty that can explain more of the apparent rational constraints on such choices than has previously been recognized. (shrink)

The aim of this paper is to study the monotonicity properties with respect to the probability distribution of the state processes, of optimal decisions in bandit decision problems. Orderings of dynamic discrete projects are provided by extending the notion of stochastic dominance to stochastic processes.

The aim of this paper is to study the monotonicity properties with respect to the probability distribution of the state processes, of optimal decisions in bandit decision problems. Orderings of dynamic discrete projects are provided by extending the notion of stochastic dominance to stochastic processes.

Fishburn and Vickson showed that, when applied to random alternatives with an equal mean, 3rd-degree and decreasing absolute risk aversion stochastic dominances represent equivalent rules. The present paper generalizes this result to higher degrees. Specifically, higher-degree stochastic dominance rules and common preference by all decision makers with decreasing higher-order absolute risk aversion are shown to coincide under appropriate constraints on the respective moments of the random variables to be compared.

I defend an analog of probabilism that characterizes rationally coherent estimates for chances. Specifically, I demonstrate the following accuracy-dominance result for stochastic theories in the C*-algebraic framework: supposing an assignment of chance values is possible if and only if it is given by a pure state on a given algebra, your estimates for chances avoid accuracy-dominance if and only if they are given by a state on that algebra. When your estimates avoid accuracy-dominance (roughly: when you (...) cannot guarantee that other estimates would be more accurate), I say that they are sufficiently coherent. In formal epistemology and quantum foundations, the notion of rational coherence that gets more attention requires that you never allow for a sure loss (or “Dutch book”) in a given sort of betting game; I call this notion full coherence. I characterize when these two notions of rational coherence align, and I show that there is a quantum state giving estimates that are sufficiently coherent, but not fully coherent. (shrink)

Equilibrium is a central concept of statistical mechanics. In previous work we introduced the notions of a Boltzmannian alpha-epsilon-equilibrium and a Boltzmannian gamma-epsilon-equilibrium. This was done in a deterministic context. We now consider systems with a stochastic micro-dynamics and transfer these notions from the deterministic to the stochastic context. We then prove stochastic equivalents of the Dominance Theorem and the Prevalence Theorem. This establishes that also in stochastic systems equilibrium macro-regions are large in requisite sense.

The language of manuals may be used to discuss inference in measurement in a general experimental context. Specializing to the context of the frame manual for Hilbert space, this inference leads to state dominance of the inferred state from partial measurements; this in turn, by Sakai's theorem, determines observables which are described by positive operator-valued measures. Symmetries are then introduced, showing that systems of covariance, rather than systems of imprimitivity, are natural objects to study in quantum mechanics. Experiments measuring (...) different polarization components simultaneously are reexamined in this language. Finally, implications of the Naimark extension theorem for the manual approach are investigated. (shrink)

We consider random choice rules that, by satisfying a weak form of Luce’s choice axiom, embody a form probabilistic rationality. We show that for this important class of stochastic choices, the law of demand for normal goods—arguably the main result of traditional consumer theory—continues to hold on average when strictly dominated alternatives are dismissed.

We review studies of an evolution operator ℒ for a discrete Langevin equation with a strongly hyperbolic classical dynamics and a Gaussian noise. The leading eigenvalue of ℒ yields a physically measurable property of the dynamical system, the escape rate from the repeller. The spectrum of the evolution operator ℒ in the weak noise limit can be computed in several ways. A method using a local matrix representation of the operator allows to push the corrections to the escape rate up (...) to order eight in the noise expansion parameter. These corrections then appear to form a divergent series. Actually, via a cumulant expansion, they relate to analogous divergent series for other quantities, the traces of the evolution operators ℒn. Using an integral representation of the evolution operator ℒ, we then investigate the high order corrections to the latter traces. Their asymptotic behavior is found to be controlled by sub-dominant saddle points previously neglected in the perturbative expansion, and to be ultimately described by a kind of trace formula. (shrink)

The article demonstrates that the dominance approach—often used for the measurement of welfare in a population in which there are different household types (see e.g., Atkinson and Bourguignon, Arrow and the foundations of the theory of economic policy, 350–370, 1987)—can be based on explicit value judgments on the households’ living standard. We define living standard by equivalent income (functions) and consider classes of inequality averse social welfare functions: Welfare increases if the inequality of living standard is decreased. In this (...) framework, we suggest three new dominance criteria and obtain characterizations of second degree stochastic dominance and of two criteria proposed by Bourguignon (Journal of Econometrics 42:67–80, 1989). (shrink)

In a recent paper the authors studied numerically the hydrogen ground state in stochastic electrodynamics within the the non-relativistic approximation. In quantum theory the leading non-relativistic corrections to the ground state energy dominate the Lamb shift related to the photon cloud that should cause the quantum-like behaviour of SED. The present work takes these corrections into account in the numerical modelling. It is found that they have little effect; the self-ionisation that occurs without them remains present. It is speculated (...) that the point-charge approximation for the electron is the cause of the failure. (shrink)

It is commonly presumed that abiotic membranes were colonized by proteins later on. Yet, hydrophobic peptides could have formed primordial protein‐dominated membranes on their own. In a metabolism‐first context, “autocatalytically closed” sets of statistical peptides could organize a self‐maintaining protometabolism, assisted by an unfolding set of ribotide‐related cofactors. Pairwise complementary ribotide cofactors may have formed docking guides for stochastic peptide formation, before replicating RNA emerged from this subset. Tidally recurring wet‐drying cycles and an early onset of photosynthetic activities are (...) considered most likely to meet the thermodynamic requirements. Conceivably, the earliest peptide‐dominated vesicles were engaged in light harvesting, together with isoprenoid‐tethered pigments, rather than providing an external boundary. Early on, the bulk of prebiotic organic matter can have formed a contiguous layer covering the mineral sediment, held in place by colloidal coherence of a hydrogel matrix. This unconventional scenario assumes a late onset of cellular individualization – perhaps from within, resembling endosporogenesis. (shrink)

This paper proposes several concepts of efficient solutions for multicriteria decision problems under uncertainty. We show how alternative notions of efficiency may be grounded on different decision ‘contexts’, depending on what is known about the Decision Maker's (DM) preference structure and probabilistic anticipations. We define efficient sets arising naturally from polar decision contexts. We investigate these sets from the points of view of their relative inclusions and point out some particular subsets which may be especially relevant to some decision situations.

Standard decision theory has trouble handling cases involving acts without finite expected values. This paper has two aims. First, building on earlier work by Colyvan (2008), Easwaran (2014), and Lauwers and Vallentyne (2016), it develops a proposal for dealing with such cases, Difference Minimizing Theory. Difference Minimizing Theory provides satisfactory verdicts in a broader range of cases than its predecessors. And it vindicates two highly plausible principles of standard decision theory, Stochastic Equivalence and Stochastic Dominance. The second (...) aim is to assess some recent arguments against Stochastic Equivalence and Stochastic Dominance. If successful, these arguments refute Difference Minimizing Theory. This paper contends that these arguments are not successful. (shrink)

In _ Psychiatry in the Scientific Image, _Dominic Murphy looks at psychiatry from the viewpoint of analytic philosophy of science, considering three issues: how we should conceive of, classify, and explain mental illness. If someone is said to have a mental illness, what about it is mental? What makes it an illness? How might we explain and classify it? A system of psychiatric classification settles these questions by distinguishing the mental illnesses and showing how they stand in relation to one (...) another. This book explores the philosophical issues raised by the project of explaining and classifying mental illness. Murphy argues that the current literature on mental illness -- exemplified by the Diagnostic and Statistical Manual of Mental Disorders -- is an impediment to research; it lacks a coherent concept of the mental and a satisfactory account of disorder, and yields too much authority to commonsense thought about the mind. He argues that the explanation of mental illness should meet the standards of good explanatory practice in the cognitive neurosciences, and that the classification of mental disorders should group symptoms into conditions based on the causal structure of the normal mind. (shrink)

Birth asphyxia is the most common single cause of death in term newborn infants. The majority of deaths in developed countries follow decisions to withdraw intensive care. Recent technological advances, particularly the use of magnetic resonance imaging (MRI) of the brain, may affect the process of prognostication and decision-making. There is little existing evidence about how prognosis is determined in newborn infants and how this relates to treatment withdrawal decisions.An exploratory qualitative study was performed using in-depth semi-structured interviews with a (...) sample of ten neonatologists from tertiary intensive care units in the UK. Participants were purposively selected to ensure a range of experience and type of unit. They were asked about the process of prognostication for infants with birth asphyxia and decisions about treatment withdrawal. Interviews were transcribed and thematically analysed.MRI played a significant role in decision-making about life-sustaining treatment for a number of clinicians. Clinicians did not identify particular ethical concerns related to MRI, though wider discussion revealed issues relating to uncertainty around predictions, the timing of prognostication and decision-making, and difficulty in predicting quality of life. (shrink)

For centuries, philosophers have identified beauty with what brings pleasure. Dominic McIver Lopes challenges this interpretation by offering an entirely new theory of beauty - that beauty engages us in action, in concert with others, in the context of social networks - and sheds light on why aesthetic engagement is crucial for quality of life.

Why me? -- Sticks and stones -- Hammer of God -- God is great -- The problem of atheists -- Guardian angels -- Nations under God -- God knows.

There is not one but many ways to picture the world--Australian "x-ray" pictures, cubish collages, Amerindian split-style figures, and pictures in two-point perspective each draw attention to different features of what they represent. Understanding Pictures argues that this diversity is the central fact with which a theory of figurative pictures must reckon. Lopes advances the theory that identifying pictures' subjects is akin to recognizing objects whose appearances have changed over time. He develops a schema for categorizing the different ways pictures (...) represent--the different kinds of meaning they have--and argues that that depiction's epistemic value lies in its representational diversity. He also offers a novel account of the phenomenology of pictorial experience, comparing pictures to visual prostheses like mirrors and binoculars. (shrink)

We observed that despite international declarations on child-rights, outsourced domestic girl-child labour still persists. Raising the question whether outsourced domestic girl-child labour constitutes hermeneutical injustice, we respond affirmatively. Relying on two indigenous victimology-narratives that are newspaper reports, we expose some of the horrors that the victims of outsourced domestic girl-child labour suffer. Comparing these reports with other victimology-narratives of hermeneutical injustice as reported by Miranda Fricker and Hilkje Hänel, we argue that the victims of outsourced domestic girl-child labour suffer a (...) hermeneutical gap and hermeneutical interference; and that the perpetuators of this practice, help to foster what we call ‘hermeneutical obstruction’. We recommend different counteracting measures such as: a radical feminization of educational curricula, which will allow for the introduction of the relevant hermeneutical resources that female children need in making sense of their experiences, into the classrooms and other places of learning; establishing feminist liberation agencies in all schools, religious institutions and hospitals, as ways of increasing the level of awareness about the rights of the girl-child in children and adults; feminizing legislation and legislative processes, to allow for the enactment of laws to protect the rights of the girl-child; and campaigning for a more rigorous enforcement of child-rights laws. (shrink)

Images have power - for good or ill. They may challenge us to see things anew and, in widening our experience, profoundly change who we are. The change can be ugly, as with propaganda, or enriching, as with many works of art. Sight and Sensibility explores the impact of images on what we know, how we see, and the moral assessments we make. Dominic Lopes shows how these are part of, not separate from, the aesthetic appeal of images. His book (...) will be essential reading for anyone working in aesthetics and art theory, and for all those intrigued by the power of images to affect our lives. '...tightly focused and carefully argued... an exceptionally interesting contribution to the philosophy of art: it contains subtle, concise, and convincing discussions of a number of difficult concepts and contentious doctrines... lucid and meticulous'. (shrink)

Given its brevity, Plato's Meno covers an astonishingly wide array of topics: politics, education, virtue, definition, philosophical method, mathematics, the nature and acquisition of knowledge and immortality. Its treatment of these, though profound, is tantalisingly short, leaving the reader with many unresolved questions. This book confronts the dialogue's many enigmas and attempts to solve them in a way that is both lucid and sympathetic to Plato's philosophy. Reading the dialogue as a whole, it explains how different arguments are related to (...) one another and how the interplay between characters is connected to the philosophical content of the work. In a new departure, this book's exploration focuses primarily on the content and coherence of the dialogue in its own right and not merely in the context of other dialogues, making it required reading for all students of Plato, be they from the world of classics or philosophy. (shrink)

One of the few points of agreement to be found in mainstream responses to the logical and semantic problems generated by vagueness is the view that if any modification of classical logic and semantics is required at all then it will only be such as to admit underdetermined reference and truth-value gaps. Logics of vagueness including many valued logics, fuzzy logics, and supervaluation logics all provide responses in accord with this view. The thought that an adequate response might require the (...) recognition of cases of overdetermination and truth value gluts has few supporters. This imbalance lacks justification. As it happens, Jaskowski's paraconsistent discussive logic-a logic which admits truth value gluts-can be defended by reflecting on similarities between it and the popular supervaluationist analysis of vagueness already in the philosophical literature. A simple dualisation of supervaluation semantics results in a paraconsistent logic of vagueness based on what has been termed subvaluational semantics. (shrink)

This book offers a bold new approach to the philosophy of art. General theories of art don't work: they can't deal with problem cases. Instead of trying to define art, we should accept that a work of art is nothing but a work in one of the arts. Lopes's buck passing theory works well for the avant garde, illuminating its radical provocations.

The paper examines the relationships between the contents of imaginative episodes and the mental images that often play a central role within them. It considers, for example, whether the presence of mental imagery is required for a mental episode to count as an imagining.

In early 2020, a number of countries developed and published intensive care triage guidelines for the pandemic. Several of those guidelines, especially in the UK, encouraged the explicit assessment...

[David Charles] Aristotle, it appears, sometimes identifies well-being with one activity, sometimes with several, including ethical virtue. I argue that this appearance is misleading. In the Nicomachean Ethics, intellectual contemplation is the central case of human well-being, but is not identical with it. Ethically virtuous activity is included in human well-being because it is an analogue of intellectual contemplation. This structure allows Aristotle to hold that while ethically virtuous activity is valuable in its own right, the best life available for (...) humans is centred around, but not wholly constituted by, intellectual contemplation. /// [Dominic Scott] In Nicomachean Ethics X 7-8, Aristotle distinguishes two kinds of eudaimonia, primary and secondary. The first corresponds to contemplation, the second to activity in accordance with moral virtue and practical reason. My task in this paper is to elucidate this distinction. Like Charles, I interpret it as one between paradigm and derivative cases; unlike him, I explain it in terms of similarity, not analogy. Furthermore, once the underlying nature of the distinction is understood, we can reconcile the claim that paradigm eudaimonia consists just in contemplation with a passage in the first book requiring eudaimonia to involve all intrinsic goods. (shrink)

This paper is a critical analysis of the concept of mental disorder recently advanced by Jerome Wakefield. Wakefield suggests that mental disorders are most aptly conceived as "harmful dysfunctions" involving two distinct and separable components: the failure of the mechanism in the person to perform a natural function for which the mechanism was designed by natural selection, and a value judgment that the dysfunction is undesirable.

Interpreters of Hume on causation consider that an advantage of the ‘quasi-realist’ reading is that it does not commit him to scepticism or to an error theory about causal reasoning. It is unique to quasi-realism that it maintains this positive epistemic result together with a rejection of metaphysical realism about causation: the quasi-realist supplies an appropriate semantic theory in order to justify the practice of talking ‘as if’ there were causal powers in the world. In this paper, I problematise the (...) quasi-realist reading of Hume on causation by showing how quasi-realism does not speak to inductive scepticism. I also offer evidence that Hume takes inductive scepticism to result from his theory of causation, and that his scepticism is tied to his rejection of metaphysical causal realism. (shrink)

Certain representations are bound in special ways to our sensory capacities; consider, for instance, pictures, sound recordings, and the various forms of mental sensory imagery. What do these representations have in common, and what makes them different from representations of other kinds? Dominic Gregory employs novel ideas on perceptual states and sensory perspectives to explain the special nature of the contents of distinctively sensory representations. The book contains extensive discussions of e.g. perceptual imagination, pictorial representation, and memories.

In this paper, I will argue that the NIMH’s new Research Domain of Criteria is a useful test of the philosophical hypothesis of eliminative materialism and demonstrates the superiority of a moderate eliminativism over integrationism, which is a rival philosophical framework for the cognitive sciences. I begin by going over the motivation for RDOC, which rests on the problems with the existing Diagnostic and Statistical Manual of Mental Disorders framework in psychiatry. Then, I introduce the main tenets of RDoC before (...) discussing eliminativism and trying to show what a moderate eliminativism looks like through the example of addiction. I then contrast that approach with intregrationism to the latter’s detriment. I end by wondering whether the broadly political consequences of eliminativism give us non-scientific reasons for resisting it, as it threatens to rob ordinary people of important means of self-description. (shrink)

This chapter begins by sketching an account of morally responsible agency and the general conditions under which it may fail. We discuss how far individuals with psychiatric diagnoses may be exempt from morally responsible agency in the way that infants are, with examples drawn from a sample of diagnoses intended to make dierent issues salient. We further discuss a recent proposal that clinicians may hold patients responsible without blaming them for their acts. We also consider cognitively impaired subjects in the (...) light of related issues in moral and political theory, asking whether they have been unjustly excluded from liberal conceptions of political community due to their presumed lack of agency. (shrink)

There are not enough solid organs available to meet the needs of patients with organ failure. Thousands of patients every year die on the waiting lists for transplantation. Yet there is one currently available, underutilized, potential source of organs. Many patients die in intensive care following withdrawal of life-sustaining treatment whose organs could be used to save the lives of others. At present the majority of these organs go to waste.In this paper we consider and evaluate a range of ways (...) to improve the number and quality of organs available from this group of patients. Changes to consent arrangements (for example conscription of organs after death) or changes to organ donation practice could dramatically increase the numbers of organs available, though they would conflict with currently accepted norms governing transplantation.We argue that one alternative, Organ Donation Euthanasia, would be a rational improvement over current practice regarding withdrawal of life support. It would give individuals the greatest chance of being able to help others with their organs after death. It would increase patient autonomy. It would reduce the chance of suffering during the dying process. We argue that patients should be given the choice of whether and how they would like to donate their organs in the event of withdrawal of life support in intensive care.Continuing current transplantation practice comes at the cost of death and prolonged organ failure. We should seriously consider all of the alternatives. (shrink)

Jennifer Radden argues that delusions play an important role in modernist epistemology, which is preoccupied with the justification and evaluation of beliefs. Another theme running through the book is the importance of culture for attribution of delusion. Beliefs that look delusional will not be treated as pathological if they are expressions of religious views or other culturally acceptable forms of life. It is hard to see why cultural acceptability should play a role in the modernist project of justification. I suggest (...) that we think less about a philosophical project of justification and turn our attention instead to commonsense judgements of the circumstances in which we see a belief as evidence of underlying pathology. I discuss cases in which unjustified beliefs are nonetheless treated as phenomena that are consistent with our views of how healthy human beings act, and suggest that alongside folk psychology we should acknowledge a folk epistemology that embraces such instances. I suggest that delusions are beliefs that folk epistemology treats as inexplicable, and that this approach solves some of the puzzles that Radden identifies as growing out of the modernist epistemic project. (shrink)