Results for 'Mark J. Schervish'

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  1.  56
    State-Dependent Utilities.Mark J. Schervish, Teddy Seidenfeld & Joseph B. Kadane - unknown
    Several axiom systems for preference among acts lead to a unique probability and a state-independent utility such that acts are ranked according to their expected utilities. These axioms have been used as a foundation for Bayesian decision theory and subjective probability calculus. In this article we note that the uniqueness of the probability is relative to the choice of whatcounts as a constant outcome. Although it is sometimes clear what should be considered constant, in many cases there are several possible (...)
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  2.  23
    Two measures of incoherence: How not to Gamble if you must.Mark J. Schervish, Teddy Seidenfeld & Joseph B. Kadane - unknown
    The degree of incoherence, when previsions are not made in accordance with a probability measure, is measured by either of two rates at which an incoherent bookie can be made a sure loser. Each bet is considered as an investment from the points of view of both the bookie and a gambler who takes the bet. From each viewpoint, we define an amount invested (or escrowed) for each bet, and the sure loss of incoherent previsions is divided by the escrow (...)
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  3.  20
    Dominating countably many forecasts.Mark J. Schervish, Teddy Seidenfeld & Joseph B. Kadane - unknown
    We investigate differences between a simple Dominance Principle applied to sums of fair prices for variables and dominance applied to sums of forecasts for variables scored by proper scoring rules. In particular, we consider differences when fair prices and forecasts correspond to finitely additive expectations and dominance is applied with infinitely many prices and/or forecasts.
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  4. A rate of incoherence applied to fixed-level testing.Mark J. Schervish, Teddy Seidenfeld & Joseph B. Kadane - 2002 - Proceedings of the Philosophy of Science Association 2002 (3):S248-S264.
    It has long been known that the practice of testing all hypotheses at the same level , regardless of the distribution of the data, is not consistent with Bayesian expected utility maximization. According to de Finetti’s “Dutch Book” argument, procedures that are not consistent with expected utility maximization are incoherent and they lead to gambles that are sure to lose no matter what happens. In this paper, we use a method to measure the rate at which incoherent procedures are sure (...)
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  5.  52
    A Rate of Incoherence Applied to Fixed‐Level Testing.Mark J. Schervish, Teddy Seidenfeld & Joseph B. Kadane - 2002 - Philosophy of Science 69 (S3):S248-S264.
    It has long been known that the practice of testing all hypotheses at the same level , regardless of the distribution of the data, is not consistent with Bayesian expected utility maximization. According to de Finetti’s “Dutch Book” argument, procedures that are not consistent with expected utility maximization are incoherent and they lead to gambles that are sure to lose no matter what happens. In this paper, we use a method to measure the rate at which incoherent procedures are sure (...)
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  6.  47
    The Effect of Exchange Rates on Statistical Decisions.Mark J. Schervish, Teddy Seidenfeld & Joseph B. Kadane - 2013 - Philosophy of Science 80 (4):504-532.
    Statistical decision theory, whether based on Bayesian principles or other concepts such as minimax or admissibility, relies on minimizing expected loss or maximizing expected utility. Loss and utility functions are generally treated as unit-less numerical measures of value for consequences. Here, we address the issue of the units in which loss and utility are settled and the implications that those units have on the rankings of potential decisions. When multiple currencies are available for paying the loss, one must take explicit (...)
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  7.  25
    Characterization of Proper and Strictly Proper Scoring Rules for Quantiles.Mark J. Schervish, Joseph B. Kadane & Teddy Seidenfeld - unknown
    We give necessary and sufficient conditions for a scoring rule to be proper for a quantile if utility is linear, and the distribution is unrestricted. We also give results when the set of distributions is limited, for example, to distributions that have first moments.
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  8.  24
    Infinite Previsions and Finitely Additive Expectations.Mark J. Schervish, Teddy Seidenfeld & Joseph B. Kadane - unknown
    We give an extension of de Finetti’s concept of coherence to unbounded random variables that allows for gambling in the presence of infinite previsions. We present a finitely additive extension of the Daniell integral to unbounded random variables that we believe has advantages over Lebesgue-style integrals in the finitely additive setting. We also give a general version of the Fundamental Theorem of Prevision to deal with conditional previsions and unbounded random variables.
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  9. Wahrscheinlichkeiistheorie.Mark J. Schervish, Teddy Seidenfeld & Joseph B. Kadane - unknown
    uniquely into a convex combination of a countably additive probability and a purely finitely additive (PFA) one. The coefficient of the PFA probability..
     
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  10. Coherent choice functions under uncertainty.Teddy Seidenfeld, Mark J. Schervish & Joseph B. Kadane - 2010 - Synthese 172 (1):157-176.
    We discuss several features of coherent choice functions—where the admissible options in a decision problem are exactly those that maximize expected utility for some probability/utility pair in fixed set S of probability/utility pairs. In this paper we consider, primarily, normal form decision problems under uncertainty—where only the probability component of S is indeterminate and utility for two privileged outcomes is determinate. Coherent choice distinguishes between each pair of sets of probabilities regardless the “shape” or “connectedness” of the sets of probabilities. (...)
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  11.  49
    Forecasting with Imprecise Probabilities.Teddy Seidenfeld, Mark J. Schervish & Joseph B. Kadane - unknown
    We review de Finetti’s two coherence criteria for determinate probabilities: coherence1defined in terms of previsions for a set of events that are undominated by the status quo – previsions immune to a sure-loss – and coherence2 defined in terms of forecasts for events undominated in Brier score by a rival forecast. We propose a criterion of IP-coherence2 based on a generalization of Brier score for IP-forecasts that uses 1-sided, lower and upper, probability forecasts. However, whereas Brier score is a strictly (...)
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  12. A conflict between finite additivity and avoiding dutch book.Teddy Seidenfeld & Mark J. Schervish - 1983 - Philosophy of Science 50 (3):398-412.
    For Savage (1954) as for de Finetti (1974), the existence of subjective (personal) probability is a consequence of the normative theory of preference. (De Finetti achieves the reduction of belief to desire with his generalized Dutch-Book argument for Previsions.) Both Savage and de Finetti rebel against legislating countable additivity for subjective probability. They require merely that probability be finitely additive. Simultaneously, they insist that their theories of preference are weak, accommodating all but self-defeating desires. In this paper we dispute these (...)
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  13.  71
    Non-conglomerability for countably additive measures that are not κ-additive.Teddy Seidenfeld, Mark J. Schervish & Joseph B. Kadane - 2014 - Review of Symbolic Logic 10 (2):284-300.
    Let κ be an uncountable cardinal. Using the theory of conditional probability associated with de Finetti and Dubins, subject to several structural assumptions for creating sufficiently many measurable sets, and assuming that κ is not a weakly inaccessible cardinal, we show that each probability that is not κ-­additive has conditional probabilities that fail to be conglomerable in a partition of cardinality no greater than κ. This generalizes our result, where we established that each finite but not countably additive probability has (...)
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  14. Rethinking the Foundations of Statistics.Joseph B. Kadane, Mark J. Schervish & Teddy Seidenfeld - 1999 - Cambridge University Press.
    This important collection of essays is a synthesis of foundational studies in Bayesian decision theory and statistics. An overarching topic of the collection is understanding how the norms for Bayesian decision making should apply in settings with more than one rational decision maker and then tracing out some of the consequences of this turn for Bayesian statistics. There are four principal themes to the collection: cooperative, non-sequential decisions; the representation and measurement of 'partially ordered' preferences; non-cooperative, sequential decisions; and pooling (...)
     
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  15. Preference for equivalent random variables: A price for unbounded utilities.Teddy Seidenfeld, Mark J. Schervish & Joseph B. Kadane - 2009 - Journal of Mathematical Economics 45:329-340.
    When real-valued utilities for outcomes are bounded, or when all variables are simple, it is consistent with expected utility to have preferences defined over probability distributions or lotteries. That is, under such circumstances two variables with a common probability distribution over outcomes – equivalent variables – occupy the same place in a preference ordering. However, if strict preference respects uniform, strict dominance in outcomes between variables, and if indifference between two variables entails indifference between their difference and the status quo, (...)
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  16.  31
    Decisions without Ordering.Teddy Seidenfeld, Mark J. Schervish & Joseph B. Kadane - unknown
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  17.  75
    When several bayesians agree that there will be no reasoning to a foregone conclusion.Joseph B. Kadane, Mark J. Schervish & Teddy Seidenfeld - 1996 - Philosophy of Science 63 (3):289.
    When can a Bayesian investigator select an hypothesis H and design an experiment (or a sequence of experiments) to make certain that, given the experimental outcome(s), the posterior probability of H will be lower than its prior probability? We report an elementary result which establishes sufficient conditions under which this reasoning to a foregone conclusion cannot occur. Through an example, we discuss how this result extends to the perspective of an onlooker who agrees with the investigator about the statistical model (...)
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  18.  15
    When Several Bayesians Agree That There Will Be No Reasoning to a Foregone Conclusion.Joseph B. Kadane, Mark J. Schervish & Teddy Seidenfeld - 1996 - Philosophy of Science 63 (5):S281-S289.
    When can a Bayesian investigator select an hypothesis H and design an experiment to make certain that, given the experimental outcome, the posterior probability of H will be lower than its prior probability? We report an elementary result which establishes sufficient conditions under which this reasoning to a foregone conclusion cannot occur. Through an example, we discuss how this result extends to the perspective of an onlooker who agrees with the investigator about the statistical model for the data but who (...)
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  19. What experiment did we just do?Joseph B. Kadane, Mark J. Schervish & Teddy Seidenfeld - unknown
    Experimenters sometimes insist that it is unwise to examine data before determining how to analyze them, as it creates the potential for biased results. I explore the rationale behind this methodological guideline from the standpoint of an error statistical theory of evidence, and I discuss a method of evaluating evidence in some contexts when this predesignation rule has been violated. I illustrate the problem of potential bias, and the method by which it may be addressed, with an example from the (...)
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  20.  43
    What Kind of Uncertainty is That? Using Personal Probability for Expressing One's Thinking About Logical and Mathematical Propositions. [REVIEW]Teddy Seidenfel, Mark J. Schervish & Joseph B. Kadane - 2012 - Journal of Philosophy 109 (8-9):516-533.
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  21.  47
    Standards for Modest Bayesian Credences.Jessi Cisewski, Joseph B. Kadane, Mark J. Schervish, Teddy Seidenfeld & Rafael Stern - 2018 - Philosophy of Science 85 (1):53-78.
    Gordon Belot argues that Bayesian theory is epistemologically immodest. In response, we show that the topological conditions that underpin his criticisms of asymptotic Bayesian conditioning are self-defeating. They require extreme a priori credences regarding, for example, the limiting behavior of observed relative frequencies. We offer a different explication of Bayesian modesty using a goal of consensus: rival scientific opinions should be responsive to new facts as a way to resolve their disputes. Also we address Adam Elga’s rebuttal to Belot’s analysis, (...)
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  22.  56
    Sleeping Beauty’s Credences.Jessi Cisewski, Joseph B. Kadane, Mark J. Schervish, Teddy Seidenfeld & Rafael Stern - 2016 - Philosophy of Science 83 (3):324-347.
    The Sleeping Beauty problem has spawned a debate between “thirders” and “halfers” who draw conflicting conclusions about Sleeping Beauty's credence that a coin lands heads. Our analysis is based on a probability model for what Sleeping Beauty knows at each time during the experiment. We show that conflicting conclusions result from different modeling assumptions that each group makes. Our analysis uses a standard “Bayesian” account of rational belief with conditioning. No special handling is used for self-locating beliefs or centered propositions. (...)
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  23.  25
    On the Shared Preferences of Two Bayesian Decision Makers.Teddy Seidenfeld, Joseph B. Kadane & Mark J. Schervish - 1989 - Journal of Philosophy 86 (5):225.
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  24.  58
    On the shared preferences of two bayesian decision makers.Teddy Seidenfeld, Joseph B. Kadane & Mark J. Schervish - 1989 - Journal of Philosophy 86 (5):225-244.
  25.  53
    Sleeping Beauty’s Credences.Jessica Cisewski, Joseph B. Kadane, Mark J. Schervish, Teddy Seidenfeld & Rafael Stern - unknown
    The Sleeping Beauty problem has spawned a debate between “Thirders” and “Halfers” who draw conflicting conclusions about Sleeping Beauty’s credence that a coin lands Heads. Our analysis is based on a probability model for what Sleeping Beauty knows at each time during the Experiment. We show that conflicting conclusions result from different modeling assumptions that each group makes. Our analysis uses a standard “Bayesian” account of rational belief with conditioning. No special handling is used for self-locating beliefs or centered propositions. (...)
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  26.  50
    A Rubinesque Theory of Decision.Joseph B. Kadane, Teddy Seidenfeld & Mark J. Schervish - unknown
  27. The Rest of Sleeping Beauty.Jessi Cisewski, Joseph B. Kadane, Mark J. Schervish, Teddy Seidenfeld & Rafael Stern - unknown
     
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  28.  9
    Finite Additivity, Complete Additivity, and the Comparative Principle.Teddy Seidenfeld, Joseph B. Kadane, Mark J. Schervish & Rafael B. Stern - forthcoming - Erkenntnis:1-24.
    In the longstanding foundational debate whether to require that probability is countably additive, in addition to being finitely additive, those who resist the added condition raise two concerns that we take up in this paper. (1) _Existence_: Settings where no countably additive probability exists though finitely additive probabilities do. (2) _Complete Additivity_: Where reasons for countable additivity don’t stop there. Those reasons entail complete additivity—the (measurable) union of probability 0 sets has probability 0, regardless the cardinality of that union. Then (...)
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  29.  19
    The philosophy of cognitive science.Mark J. Cain - 2016 - Malden, MA: Polity.
    In recent decades cognitive science has revolutionised our understanding of the workings of the human mind. Philosophy has made a major contribution to cognitive science and has itself been hugely influenced by its development. This dynamic book explores the philosophical significance of cognitive science and examines the central debates that have enlivened its history. In a wide-ranging and comprehensive account of the topic, philosopher M.J. Cain discusses the historical origins of cognitive science and its philosophical underpinnings; the nature and role (...)
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  30.  8
    Key thinkers of the radical right: behind the new threat to liberal democracy.Mark J. Sedgwick (ed.) - 2019 - New York, NY: Oxford University Press.
    Since the start of the twenty-first century, the political mainstream has been shifting to the right. The liberal orthodoxy that took hold in the West as a reaction to the Second World War is breaking down. In Europe, populist political parties have pulled the mainstream in their direction; in America, a series of challenges to the Republican mainstream culminated in the 2016 election of Donald Trump. In Key Thinkers of the Radical Right, sixteen expert scholars explain sixteen thinkers, providing an (...)
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  31.  4
    Rethinking Peter Lombard's Corpus.Mark J. Clark - 2024 - Recherches de Theologie Et Philosophie Medievales 90 (2):229-289.
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  32.  6
    The Odyssey of Eidos: Reflections on Aristotle's Response to Plato.Mark J. Nyvlt (ed.) - 2023 - Eugene, Oregon: Wipf and Stock.
    Aristotle sets the horizons of our inquiry: What is it when we say we know something? And is the object of knowledge a universal or particular [tode ti] object? Aristotle's critique of Plato's theory of form/Forms in light of his notion of actuality has generated a variety of topics that frame our inquiry: "Understanding Eidos as Form in the Works of Aristotle as Plato's Critical Student"; "Aristotle on Plato's Forms as Causes"; "Notes on the Relationship between Plato's Parmenides and Aristotle's (...)
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  33. Freedom and Ground: A Study of Schelling's Treatise on Freedom.Mark J. Thomas - 2023 - Albany, NY, USA: State University of New York Press.
    This book is a new interpretation of Schelling's path-breaking 1809 treatise on freedom, the last major work published during his lifetime. The treatise is at the heart of the current Schelling renaissance—indeed, Heidegger calls it "one of the most profound works of German, thus of Western, philosophy." It is also one of the most demanding and complex texts in German Idealism. By tracing the problem of ground through Schelling's treatise, this book provides a unified reading of the text, while unlocking (...)
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  34. "The Master's Student Learning Outcomes and Assessment Methods: An Alternative Perspective on Pedagogy".Mark J. Boone - 2022 - In Benedict S. B. Chan & Victor C. M. Chan (eds.), Whole Person Education in East Asian Universities: Perspectives from Philosophy and Beyond. Routledge.
    Although current educational priorities tend to avoid strong moral positions, one of the world's most venerable yet persistently influential moral traditions not only lays out a number of major moral principles but also incorporates them into its pedagogy. Confucius teaches us about the importance of seeking knowledge, learning how to learn, applying ancient wisdom to contemporary situations, valuing virtue over material gain, following the Golden Rule, and living by our principles. He also has ways of assessing his own students' progress (...)
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  35.  6
    At the Foundations of Bioethics and Biopolitics: Critical Essays on the Thought of H. Tristram Engelhardt, Jr.Mark J. Cherry, Ana Iltis & Lisa M. Rasmussen (eds.) - 2015 - Cham: Imprint: Springer.
    This volume brings together a set of critical essays on the thought of Professor Doctor H. Tristram Engelhardt Jr., Co-Founding Editor of the Philosophy and Medicine book series. Amongst the founders of bioethics, Professor Engelhardt, looms large. Many of his books and articles have appeared in multiple languages, including Italian, Romanian, Portuguese, Spanish, and Chinese. The essays in this book focus critically on a wide swath of his work, in the process elucidating, critiquing, and/or commending the rigor and reach of (...)
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  36. The argument and the action of plato's laws.Mark J. Lutz - 2015 - In Timothy Burns (ed.), Brill's Companion to Leo Strauss' Writings on Classical Political Thought. Boston: Brill.
  37.  10
    Aristotle and early Christian thought.Mark J. Edwards - 2019 - New York: Routledge, Taylor & Francis Group.
    In studies of early Christian thought, 'philosophy' is often a synonym for 'Platonism', or at most for 'Platonism and Stoicism'. Nevertheless, it was Aristotle who, from the sixth century AD to the Italian Renaissance, was the dominant Greek voice in Christian, Muslim and Jewish philosophy. Aristotle and Early Christian Thoughtis the first book in English to give a synoptic account of the slow appropriation of Aristotelian thought in the Christian world from the second to the sixth century. Concentrating on the (...)
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  38.  11
    Happiness, Democracy, and the Cooperative Movement: The Radical Utilitarianism of William Thompson.Mark J. Kaswan - 2014 - SUNY Press.
    Examines the political significance of ideas about happiness through the work of utilitarian philosophers William Thompson and Jeremy Bentham. Happiness is political. The way we think about happiness affects what we do, how we relate to other people and the world around us, our moral principles, and even our ideas about how society should be organized. Utilitarianism, a political theory based on hedonistic and individualistic ideas of happiness, has been dominated for more than two-hundred years by its founder, Jeremy Bentham. (...)
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  39.  5
    Traditionalism: the radical project for restoring sacred order.Mark J. Sedgwick - 2023 - New York, NY, United States of America: Oxford University Press.
    Traditionalism is a shadowy philosophy that has influenced much of the twentieth century and beyond: from the far-right to the environmental movement, from Sufi shaykhs and their followers to Trump advisor and right-wing provocateur Steve Bannon. It is a worldview that rejects modernity and instead turns to mystical truth and tradition as its guide. Mark Sedgwick, one of the world's leading scholars of Traditionalism, presents a major new analysis, pulling back the curtain on the foundations of Traditionalist philosophy, its (...)
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  40.  14
    The Sassanian Inscription of PaikuliThe Sassanian Inscription of Paikuli Part 1, Supplement to Herzfeld's Paikuli.Mark J. Dresden, Helmut Humbach, Prods O. Skjaervo̵, Herzfeld & Prods O. Skjaervo - 1981 - Journal of the American Oriental Society 101 (4):465.
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  41.  3
    Security, technology and global politics: thinking with Virilio.Mark J. Lacy - 2014 - London: Routledge.
    This book analyses some of the key problems explored in Paul Virilio's theorising on war and security.Virilio is one of the most challenging and provocative critics of technology, war and globalisation. While many commentators focus on the new possibilities for mobility and communication in an interconnected world, Virilio is interested in the role that technology and security play in the shaping of our bodies and how we come to see the world -- what he terms the 'logistics of perception'. Security, (...)
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  42.  21
    The Goals of Medicine: The Forgotten Issues in Health Care Reform.Mark J. Hanson & Daniel Callahan - 2000 - Georgetown University Press.
    Debates over health care have focused for so long on economics that the proper goals for medicine seem to be taken for granted; yet problems in health care stem as much from a lack of agreement about the goals and priorities of medicine as from the way systems function. This book asks basic questions about the purposes and ends of medicine and shows that the answers have practical implications for future health care delivery, medical research, and the education of medical (...)
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  43.  89
    Kidney for Sale by Owner.Mark J. Cherry - 2017 - International Journal of Applied Philosophy 31 (2):171-187.
    This paper defends an in principle understanding of the authority of persons over themselves and, in consequence, argues for significant limits on morally permissible state authority. It also defends an account of the limits of permissible state action that distinguishes between the ability of persons to convey authority to common projects and what may be judged virtuous, good, safe, or proper to do. In terms of organ transplantation policy, it concludes that it is morally acceptable, and should be legally permissible, (...)
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  44.  58
    Informed consent in texas: Theory and practice.Mark J. Cherry & H. Tristram Engelhardt - 2004 - Journal of Medicine and Philosophy 29 (2):237 – 252.
    The legal basis of informed consent in Texas may on first examination suggest an unqualified affirmation of persons as the source of authority over themselves. This view of individuals in the practice of informed consent tends to present persons outside of any social context in general and outside of their families in particular. The actual functioning of law and medical practice in Texas, however, is far more complex. This study begins with a brief overview of the roots of Texas law (...)
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  45.  14
    Kidney for Sale by Owner.Mark J. Cherry - 2017 - International Journal of Applied Philosophy 31 (2):171-187.
    This paper defends an in principle understanding of the authority of persons over themselves and, in consequence, argues for significant limits on morally permissible state authority. It also defends an account of the limits of permissible state action that distinguishes between the ability of persons to convey authority to common projects and what may be judged virtuous, good, safe, or proper to do. In terms of organ transplantation policy, it concludes that it is morally acceptable, and should be legally permissible, (...)
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  46.  22
    Organ Vouchers and Barter Markets: Saving Lives, Reducing Suffering, and Trading in Human Organs.Mark J. Cherry - 2017 - Journal of Medicine and Philosophy 42 (5):503-517.
    The essays in this issue of The Journal of Medicine and Philosophy explore an innovative voucher program for encouraging kidney donation. Discussions cluster around a number of central moral and political/theoretical themes: What are the direct and indirect health care costs and benefits of such a voucher system in human organs? Do vouchers lead to more effective and efficient organ procurement and allocation or contribute to greater inequalities and inefficiencies in the transplantation system? Do vouchers contribute to the inappropriate commodification (...)
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  47.  23
    Contested Organ Harvesting from the Newly Deceased: First Person Assent, Presumed Consent, and Familial Authority.Mark J. Cherry - 2019 - Journal of Medicine and Philosophy 44 (5):603-620.
    Organ procurement policy from the recently deceased recasts families into gatekeepers of a scarce medical resource. To the frustration of organ procurement teams, families do not always authorize organ donation. As a result, efforts to increase the number of organs available for transplantation often seek to limit the authority of families to refuse organ retrieval. For example, in some locales if a deceased family member has satisfied the legal conditions for first-person prior assent, a much looser and easier standard to (...)
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  48.  54
    Fodor: Language, Mind and Philosophy.Mark J. Cain - 2002 - Malden, MA: Polity Press.
    Jerry Fodor is one of the most important philosophers of mind in recent decades. He has done much to set the agenda in this field and has had a significant influence on the development of cognitive science. Fodor's project is that of constructing a physicalist vindication of folk psychology and so paving the way for the development of a scientifically respectable intentional psychology. The centrepiece of his engagement in this project is a theory of the cognitive mind, namely, the computational (...)
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  49.  44
    Re-Thinking the Role of the Family in Medical Decision-Making.Mark J. Cherry - 2015 - Journal of Medicine and Philosophy 40 (4):451-472.
    This paper challenges the foundational claim that the human family is no more than a social construction. It advances the position that the family is a central category of experience, being, and knowledge. Throughout, the analysis argues for the centrality of the family for human flourishing and, consequently, for the importance of sustaining family-oriented practices within social policy, such as more family-oriented approaches to consent to medical treatment. Where individually oriented approaches to medical decision-making accent an ethos of isolated personal (...)
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  50.  64
    Sex, Abortion, and Infanticide: The Gulf between the Secular and the Divine.Mark J. Cherry - 2011 - Christian Bioethics 17 (1):25-46.
    This paper critically explores key aspects of the gulf between traditional Christian bioethics and the secular moral reflections that dominate contemporary bioethics. For example, in contrast to traditional Christian morality, the established secular bioethics judges extramarital sex acts among consenting persons, whether of the same or different sexes, as at least morally permissible, affirms sexual freedom for children to develop their own sexual identity, and holds the easy availability of abortion and infanticide as central to the liberty interests of women. (...)
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