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 (...) choices. Each choice can lead to a different "unique" probability and utility. By focusing attention on statedependent utilities, we determine conditions under which a truly unique probability and utility can be determined from an agent's expressed preferences among acts. Suppose that an agent's preference can be represented in terms of a probability P and a utility U.That is, the agent prefers one act to another iff the expected utility of that act is higher than that of the other. There are many other equivalent representations in terms of probabilities Q, which are mutually absolutely continuous with P, and state-dependent utilities V, which differ from U by possibly different positive affine transformations in each state of nature. We describe an example in which there are two different but equivalent state-independent utility representations for the same preference structure. They differ in which acts count as constants. The acts involve receiving different amounts of one or the other of two currencies, and the states are different exchange rates between the currencies. It is easy to see how it would not be possible for constant amounts of both currencies to have simultaneously constant values across the differentstates. Savage (1954, sec. 5.5) discovered a situation in which two seemingly equivalent preference structures are represented by different pairs of probability and utility. He attributed the phenomenon to the construction of a "small world." We show that the small world problem is just another example of two different, but equivalent, representations treating different actsas constants. Finally, we prove a theorem (similar to one of Karni 1985) that shows how to elicit a unique state-dependent utility and does not assume that there are prizes with constant value. To do this, we define a new hypothetical kind of act in which both the prize to be awarded and the state of nature are determined by an auxiliary experiment. (shrink)

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 (...) to determine the rate of incoherence. Potential applications include the treatment of arbitrage opportunities in financial markets and the degree of incoherence of classical statistical procedures. We illustrate the latter with the example of hypothesis testing at a fixed size. (shrink)

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.

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 (...) to lose, so that we can distinguish slightly incoherent procedures from grossly incoherent ones. We present an analysis of testing a simple hypothesis against a simple alternative as a case‐study of how the method can work. (shrink)

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 (...) to lose, so that we can distinguish slightly incoherent procedures from grossly incoherent ones. We present an analysis of testing a simple hypothesis against a simple alternative as a case‐study of how the method can work. (shrink)

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 (...) account of which currency is used as well as the exchange rates between the various available currencies. (shrink)

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.

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.

uniquely into a convex combination of a countably additive probability and a purely finitely additive (PFA) one. The coefficient of the PFA probability..

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. (...) We axiomatize the theory of choice functions and show these axioms are necessary for coherence. The axioms are sufficient for coherence using a set of probability/almost-state-independent utility pairs. We give sufficient conditions when a choice function satisfying our axioms is represented by a set of probability/state-independent utility pairs with a common utility. (shrink)

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 (...) claims by showing that the following three cannot simultaneously hold: (i) Coherent belief is reducible to rational preference, i.e. the generalized Dutch-Book argument fixes standards of coherence. (ii) Finitely additive probability is coherent. (iii) Admissible preference structures may be free of consequences, i.e. they may lack prizes whose values are robust against all contingencies. (shrink)

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 (...) proper scoring rule for eliciting determinate probabilities, we show that there is no real-valuedstrictly proper IP-score. Nonetheless, with respect to either of two decision rules – Γ-maximin or E-admissibility-+-Γ-maximin – we give a lexicographic strictly proper IP-scoring rule that is based on Brier score. (shrink)

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 (...) rules and Bayesian dynamics for sets of probabilities. The volume will be particularly valuable to philosophers concerned with decision theory, probability, and statistics, statisticians, mathematicians, and economists. (shrink)

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 (...) conditional probabilities that fail to be conglomerable in some countable partition. (shrink)

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, (...) then preferences over rich sets of unbounded variables, such as variables used in the St. Petersburg paradox, cannot preserve indifference between all pairs of equivalent variables. In such circumstances, preference is not a function only of probability and utility for outcomes. Then the preference ordering is not defined in terms of lotteries. (shrink)

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 (...) for the data but who holds a different prior probability for the statistical parameters of that model. We consider, specifically, one-sided and two-sided statistical hypotheses involving i.i.d. Normal data with conjugate priors. In a concluding section, using an "improper" prior, we illustrate how the preceding results depend upon the assumption that probability is countably additive. (shrink)

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 (...) holds a different prior probability for the statistical parameters of that model. We consider, specifically, one-sided and two-sided statistical hypotheses involving i.i.d. Normal data with conjugate priors. In a concluding section, using an "improper" prior, we illustrate how the preceding results depend upon the assumption that probability is countably additive. (shrink)

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 (...) search for the top quark. A point in favor of the error statistical theory is its ability, demonstrated here, to explicate such methodological problems and suggest solutions, within the framework of an objective theory of evidence. (shrink)

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, (...) which focuses attention on the role that the assumption of countable additivity plays in Belot’s criticisms. (shrink)

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. (...) We also explore what fair prices Sleeping Beauty computes for gambles that she might be offered during the Experiment. (shrink)

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. (...) We also explore what fair prices Sleeping Beauty computes for gambles that she might be offered during the experiment. (shrink)

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 (...) probability distributions are discrete, not continuous. We use Easwaran’s (Easwaran, Thought 2:53–61, 2013) advocacy of the _Comparative_ principle to illustrate these two concerns. Easwaran supports countable additivity, both for numerical probabilities and for finer, qualitative probabilities, by defending a condition he calls the _Comparative_ principle [ \({\mathcal{C}}\) ]. For numerical probabilities, principle \({\mathcal{C}}\) contrasts pairs, P 1 and P 2, defined over a common partition \(\prod\) = {a _i_ : _i_ ∈ I} of measurable events. \({\mathcal{C}}\) requires that no P 1 may be pointwise dominated, i.e., no (finitely additive) probability P 2 exists such that for each _i_ ∈ I, P 2 (a _i_ ) > P 1 (a _i_ ). By design, the cardinality of \(\prod\) is not limited in \({\mathcal{C}}\), which Easwaran asserts is important when arguing that the principle does not require more, or less, than that probability is countably additive. We agree that a numerical probability P satisfies principle \({\mathcal{C}}\) in all partitions just in case P is countably additive. However, we show that for numerical probabilities, by considering the size of the algebra of events to which probability is applied, principle \({\mathcal{C}}\) is subject to each of the above concerns, (1) and (2). Also, Easwaran considers principle \({\mathcal{C}}\) with non-numerical, qualitative probabilities, where a qualitative probability may be finer than an almost agreeing numerical probability P. A qualitative probability is regular if possible events are strictly more likely than impossible events. Easwaran motivates and illustrates regular qualitative probabilities using a continuous, almost agreeing quantitative probability that is uniform on the unit interval. We make explicit the conditions for applying principle \({\mathcal{C}}\) with qualitative probabilities and show that \({\mathcal{C}}\) restricts regular qualitative probabilities to those whose almost agreeing quantitative probabilities are completely additive. For instance, Easwaran’s motivating example of a regular qualitative probability is precluded by principle \({\mathcal{C}}\). (shrink)

In the Freedom Essay, Schelling provides four different accounts of the copula, two of which are largely implicit. In this paper, I focus on the first of these accounts, which I call the "mediated account." I argue that this explanation of the copula articulates a fundamental ontological structure in Schelling's philosophy. In the first half of the paper, I analyze the structural features of the account, drawing on Schelling's more extensive treatment in the Ages of the World. In the second (...) half of the paper, I argue that Schelling's fundamental distinction between that-which-exists and the ground of existence exhibits the same structure as the mediated account of the copula. This has implications for understanding the enigmatic relationship of these two principles to the Ungrund. I conclude by briefly suggesting other applications of this fundamental structure in Schelling's philosophy. (shrink)

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 (...) theory of mind, which postulates the existence of a language of thought. Fodor: Language, Mind and Philosophy is a comprehensive study of Fodor's writings. Individual chapters are devoted to each of the major issues raised by his work and contain extensive discussion of his relationships to key developments in cognitive science and to the views of such philosophical luminaries as Dennett, Davidson and Searle. (shrink)

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 (...) and public policy regarding informed consent. This surface account is then contrasted with examples drawn from the actual functioning of Texas law: Texas legislation regarding out-of-hospital do-not-resuscitate (DNR) orders. As a default approach to medical decision-making when patients lose decisional capacity and have failed to appoint a formal proxy or establish their wishes, this law establishes a defeasible presumption in favor of what the law characterizes as “qualified relatives” who can function as decision-makers for those terminal family members who lose decisional capacity. The study shows how, in the face of a general affirmation of the autonomy of individuals as if they were morally and socially isolated agents, space is nevertheless made for families to choose on behalf of their own members. The result is a multi-tier public morality, one affirming individuals as morally authoritative and the other recognizing the decisional standing of families. (shrink)

Creation of for-profit markets in organs for transplantation ignites in many deep moral repugnance. Proposals to broker organs have been denounced by the US Congress and professional groups alike. Financial incentives are believed to undermine consent, coercing the poor into selling their organs, violating human dignity, and improperly commodifying the human body; such concerns are held to trump the possibility of increasing life-sustaining transplants. While such views summarize the apparent global consensus which marks worldwide prohibition of the sale of human (...) organs, I argue that closer examination reveals significant grounds for concluding that markets would be more successful in preventing exploitation, preserving human dignity, and protecting against improper commodification than governmental bureaucratic procedures for procuring and allocating organs. (shrink)

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 (...) of representations in cognition; the architecture of the mind and the modularity thesis; the nature of concepts; knowledge of language and its acquisition; perception; and the relationship between the brain and cognition. Cain draws upon an extensive knowledge of empirical developments and their philosophical interpretation. He argues that although the field has generated some challenging new views in recent years, many of the core ideas that initiated its birth are still to be taken seriously. Clearly written and incisively argued, The Philosophy of Cognitive Science will appeal to any student or researcher interested in the workings of the mind. (shrink)

Perhaps nature is simply a challenge to be addressed, overcome, and set aside.This volume is a critical exploration of natural law theory.

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. (...) Secular bioethics seeks to separate children from the authority of their parents, placing children themselves as in authority to make their own judgments about appropriate lifestyle choices, including sexual behaviors. As I argue, however, absent God, there exists no standpoint outside of our own cultural sociohistorically conditioned understanding from which to communicate any deeper perspective of reality or the bioethics that such a perspective would secure. Consequently, rather than discerning moral truth, secular bioethics merely affirms its own particular cultural sociohistorically conditioned ideological perspective. It is a social and political worldview bereft of definitive moral foundation, independent moral authority, or unambiguous content. (shrink)

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 (...) satisfy than informed consent, organ retrieval may proceed despite the family’s objections. Some countries have replaced voluntary consent to organ donation with forms of organ conscription. Often referred to under the misnomer “presumed consent,” such policies legalize the harvesting of organs at death, unless individuals exercise official options to opt out. As this article explores, however, there are good grounds for affirming the authority of the family to consent to or to deny organ donation on behalf of recently deceased family members, as well as to reject first-person assent and “presumed consent” policies of organ procurement. Insofar as individuals have failed clearly and competently to provide informed consent to organ donation, moral authorization for the use of the person and his body ought to be grounded on the foundational authority of the family, rather than the state’s supposed interests in obtaining organs for transplantation. (shrink)

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 (...) autonomy family-oriented approaches acknowledge the central social and moral reality of the family. I argue that the family ought to be appreciated as more than a mere network of personal relations and individual undertakings; the family possesses a being that is social and moral such that it realizes a particular structure of human good and sustains the necessary conditions for core areas of human flourishing. Moreover, since the family exists as a nexus of face-to-face relationships, the consent of persons, including adults, to be members of a particular family, subject to its own respective account of family sovereignty, is significantly more amply demonstrated than the consent of citizens to be under the authority of a particular state. As a result, in the face of a general Western bioethical affirmation of the autonomy of individuals, as if adults and children were morally and socially isolated agents, this paper argues that social space must nevertheless be made for families to choose on behalf of their own members. (shrink)

While many have suggested that to withdraw medical interventions is ethically equivalent to withholding them, the moral complexity of actually withdrawing life supportive interventions from a patient cannot be ignored. Utilizing interplay between expository and narrative styles, and drawing upon our experiences with patients, families, nurses, and physicians when life supports have been withdrawn, we explore the changeable character of boundaries in end-of-life situations. We consider ways in which boundaries imply differences – for example, between cognition and performance – and (...) how the encounter with boundaries can generate altered meanings important for understanding decisions and actions in these contexts. We conclude that the reliance on mere roles to support the moral weight of withdrawing medical interventions is inadequate. Roles that lead us to such moments are exceeded by the responsibility encountered in such moments. And here, we suggest, is the momentous character of withdrawal: it presents the grave astonishment, the trembling awe, in the not-being-there of the other in death. (shrink)

This study explores the ways in which adolescents, even so-called “mature minors”, lack adequate development of the intellectual, affective, and emotional capacities necessary morally to consent to medical research on their own behalf. The psychological and neurophysiological data regarding brain maturation supports the conclusion that adolescents are qualitatively different types of agents than mature adults. They lack full adult maturity and personal agency. As a result, in addition to the usual requirements for IRB approval, one or both parents, or a (...) legal guardian, should provide informed consent for minor children to participate in medical research. (shrink)

This essay addresses two growing edges of the just war tradition. First, theorists have been accused of focusing narrowly on justifying war and governing its conduct, neglecting wider considerations that encompass justice during the years prior to and after war. Second, calling a war "just" allegedly makes it seem "good" so that it is easier to fight a war and to bend or set aside the rules. Based on "imperfect justice," we argue for a "justified" war theory, taking all criteria (...) and categories seriously, including jus ante bellum and jus post bellum. (shrink)

THIS IS A PRE-PUBLICATION VERSION OF THE PAPER. The New Testament speaks of our having faith rather than sight. This distinction is not made to distinguish faith from knowledge. Rather, it is to distinguish one kind of knowledge from another. We may know by trust in reliable authority; this knowledge is necessarily secondhand, but it is knowledge all the same. This, I argue, is the New Testament idea of faith. Another way of knowing is firsthand. Sight in the New Testament, (...) I argue, is a metonym for firsthand knowledge. In this article I consider the meaning of faith and sight in the relevant New Testament passages, with an extended exegesis of 2 Cor. 5:7 and Heb. 11:1. (shrink)

Generalizedn-gons are certain geometric structures (incidence geometries) that generalize the concept of projective planes (the nontrivial generalized 3-gons are exactly the projective planes).In a simplified world, every generalizedn-gon of finite Morley rank would be an algebraic one, i.e., one of the three families described in [9] for example. To our horror, John Baldwin [2], using methods discovered by Hrushovski [7], constructed ℵ1-categorical projective planes which are not algebraic. The projective planes that Baldwin constructed fail to be algebraic in a dramatic (...) way.Indeed, every algebraic projective plane over an algebraically closed field is Desarguesian [12]. In particular, an algebraically closed field (isomorphic to the base field) can be interpreted in every one of them. However, in the projective planes that Baldwin constructed, one cannot even interpret an infinite group.In this article we show that the same phenomenon occurs for the generalizedn-gons ifn≥ 3 is an odd integer. For each suchnwe constructmany nonisomorphic generalizedn-gons of finite Morley rank that do not interpret an infinite group. As one may expect, our method is inspired by Hrushovski and Baldwin, and we follow Baldwin's line of approach. Quite often our proofs are a verification of the fact that the proofs of Baldwin [2] forn= 3 carry over to an arbitrary positive odd integern(which is sometimes far from being obvious). As in [2], we begin by defining a certain collection of finite graphsK* and a binary relation ≤ on these graphs. We show that (K*, ≤) satisfies the amalgamation property. (shrink)

Stereological techniques allow biologists to create quantitative, three-dimensional descriptions of biological structures from two- dimensional images of tissue viewed under the microscope. For example, they can accurately estimate the size of a particular organelle, the total length of a mass of capillaries, or the number of neurons or synapses in a particular region of the brain. This book provides a practical guide to designing and critically evaluating stereological studies of the nervous system and other tissues. It explains the basic concepts (...) behind design-based stereology and how to get started. Also included are detailed descriptions of how to prepare tissue appropriately, perform pilot studies and decide on the appropriate sampling strategy, and account for phenomena such as tissue shrinkage. Numerous examples of applications of stereological methods that are applicable to studies of the central system and a wide variety of other tissues are explained. The book is therefore essential reading for neurobiologists and cell biologists interested in generating accurate representations of cell and tissue architecture. (shrink)

The day-to-day work of clinical ethics consultants and healthcare ethics committees can easily become overly routine. Too much routine, however, comes with a risk that morally important practices will be reduced to mere bureaucratic formalities, while practitioners become desensitized to ethically significant distinctions between cases. Clinical ethics consultation and organizational ethics must be set within the broader social and cultural context of the healthcare environment. This practice requires looking beyond mere legal compliance and the routinely false assumption that there are (...) unambiguous ethical norms that easily govern clinical ethics and hospital policy formation. Together the essays in this issue of HEC Forum challenge readers to rethink taken-for-granted assumptions regarding patient care, physician obligation, clinical ethics consultation, and organizational ethics. (shrink)

Brain transplants have long been no more than the subject of science fiction and engaging thought experiments. That is no longer true. Neuroscientists have announced their intention to transplant the head of a volunteer onto a donated body. Response has been decidedly mixed. How should we think about the moral permissibility of head transplants? Is it a life-saving/life-enhancing opportunity that appropriately expands the boundaries of medical practice? Or, is it a bioethical morass that ought not to be attempted? For the (...) purposes of this paper, I set aside questions regarding the surgical operation’s technological plausibility so as to focus on very basic questions regarding personal identity and the morality of head transplantation. The analysis begins with an exploration of the embodiment of persons. It considers whether persons can be conceptually distinguished from all parts of their body, even if they cannot be physically separated from some parts without loss of personhood. It argues that in most cases replacing body parts with reasonably similar parts will not destroy the conditions for sustaining personhood. However, as I explore, the phenomenology of personhood is such that some physical changes may prove to be too significant to maintain personal identity successfully over time. Given such complexity and the significance of the costs involved, the moral permissibility of head transplantation likely depends on recognizing that persons may give permission to collaborate in common activities, including projects with which others deeply disagree, provided that they only utilize the services and resources of free and consenting others. (shrink)