§ 1. Introduction. In this communication we present some recent results on the classification of Polish metric spaces up to isometry and on the isometry groups of Polish metric spaces. A Polish metric space is a complete separable metric space.Our first goal is to determine the exact complexity of the classification problem of general Polish metric spaces up to isometry. This work was motivated by a paper of Vershik [1998], where he remarks : “The classification of Polish spaces up to (...) isometry is an enormous task. More precisely, this classification is not ‘smooth’ in the modern terminology.” Our Theorem 2.1 below quantifies precisely the enormity of this task.After doing this, we turn to special classes of Polish metric spaces and investigate the classification problems associated with them. Note that these classification problems are in principle no more complicated than the general one above. However, the determination of their exact complexity is not necessarily easier.The investigation of the classification problems naturally leads to some interesting results on the groups of isometries of Polish metric spaces. We shall also present these results below.The rest of this section is devoted to an introduction of some basic ideas of a theory of complexity for classification problems, which will help to put our results in perspective. Detailed expositions of this general theory can be found, e.g., in Hjorth [2000], Kechris [1999], [2001]. (shrink)

We consider the complexity of the isomorphism relation on countable first-order structures with transitive automorphism groups. We use the theory of Borel reducibility of equivalence relations to show that the isomorphism problem for vertex-transitive graphs is as complicated as the isomorphism problem for arbitrary graphs and determine for which first-order languages the isomorphism problem for transitive countable structures is as complicated as it is for arbitrary countable structures. We then use these results to characterize the complexity of the isometry relation (...) for certain classes of homogeneous and ultrahomogeneous metric spaces. (shrink)

In this paper, we argue that calls for widespread implementation of ethics measurement systems would be better informed by institutional economic analysis. Specifically, we assert that proponents of such systems must first recognize and understand the institutions that potentially impede such efforts. We identify two potential institutional impediments to measuring ethics and social responsibility. First, we suggest that neoclassical economics, supported by traditional business education and legal precedent, serves to reinforce the notion that shareholders are the primary corporate constituency group. (...) Such an emphasis on the needs of shareholders severely hinders implementation of measurement systems that address the needs of multiple stakeholder groups. Second, we argue that the threat of litigation may constrain corporate managers from measuring and considering ethics and corporate social responsibility matters. In particular, managers may be reluctant to quantify various ethical concerns if the resulting measurements could be used as evidence against the corporation in a lawsuit. (shrink)

After distinguishing reductive explanability in principle from ontological deflation, I give a case of an obviously physical property that is reductively inexplicable in principle. I argue that biological systems often have this character, and that, if we make certain assumptions about the cohesion and dynamics of the mind and its physical substrate, then it is emergent according to Broad's criteria.

This paper takes the work of Hans Urs Von Balthasar as a starting point and context for a philosophical recovery of beauty. Balthasar labored to recover a theological aesthetics within contemporary theology. However, his suspicion of modern philosophy with its turn to the subject left him unable to articulate the proper philosophical foundations for a modern recovery of beauty. He acclaimed the achievement of Aquinas but did not move beyond him. Therefore,the paper presents an argument for a transposed philosophy of (...) Aquinas through the thought of Bernard Lonergan. One that can properly ground a theological aesthetics because it reckons with the philosophers of doubt, and allows for the incorporation of other cultural notions of beauty that Balthasar admits are lacking in his own aesthetics. (shrink)

This paper argues for a fundamental theological re‐interpretation of Vatican II ecclesiology that acknowledges not one but two principal ecclesiologies inspired by the Council documents. Ecclesiastical authorities and some theologians have acknowledged that communion ecclesiology is the principal ecclesiology of Vatican II. However, this conception does not sufficiently account for the full range of relations with the Other that is a distinctive development in the Church's self‐understanding inaugurated by Vatican II; such an understanding is better represented by an ecclesiology of (...) friendship. I thus argue there are two ecclesiologies reflected in the Council documents: communion ecclesiology and another to be developed based on mutual relations and friendship with the Other. The latter is distinctively Ignatian in spirit; further, these two ecclesiologies are not fundamentally opposed to each other but are united in the missions of the Son and the Spirit. (shrink)

If connectionist computational models explain the acquisition of complex cognitive skills, errors in such models would also help explain unusual brain activity such as in creativity – as well as in mental illness, including childhood onset problems with social behaviors in autism, the inability to maintain focus in attention deficit and hyperactivity disorder (ADHD), and the lack of motivation of depression disorders.

Context Conflicts over treatment decisions have been linked to physicians' emotional states. Objective To measure the prevalence of emotional exhaustion and conflicts over treatment decisions among US obstetrician/gynaecologists (ob/gyns), and to examine the relationship between the two and the physician characteristics that predict each. Methods Mailed survey of a stratified random sample of 1800 US ob/gyn physicians. Criterion variables were levels of emotional exhaustion and frequency of conflict with colleagues and patients. Predictors included physicians' religious characteristics and self-perceived empathy. Results (...) Response rate among eligible physicians was 66% (1154/1760). 36% of ob/gyns reported high levels of emotional exhaustion, and majorities reported conflict with colleagues (59%) and patients (61%). Those reporting conflict were much more likely to report emotional exhaustion (58% vs 29% who never conflict, OR, 95% CI 2.8, 1.6 to 4.8 for conflict with colleagues; 55% versus 26%, OR, 95% CI 2.2, 1.4 to 3.5 for conflict with patients). Physicians with lower self-perceived empathy were more likely to report physician-patient conflicts (65% vs 58% with higher empathy, OR, 95% CI 1.4, 1.0 to 1.9), as were female ob/gyns (66% vs 57% of males, OR, 95% CI 1.5, 1.1 to 2.0). Foreign-born physicians were less likely to report such conflicts (47% vs 64% of US born, OR, 95% CI 0.5, 0.4 to 0.8). Physicians' religious characteristics were not significantly associated with reporting conflict. Conclusions Conflicts over treatment decisions are associated with physicians' empathy, gender, immigration history and level of emotional exhaustion. With respect to the latter, conflict in the clinical encounter may represent an overlooked source or sign of burnout among ob/gyns. (shrink)

An infinite lottery machine is used as a foil for testing the reach of inductive inference, since inferences concerning it require novel extensions of probability. Its use is defensible if there is some sense in which the lottery is physically possible, even if exotic physics is needed. I argue that exotic physics is needed and describe several proposals that fail and at least one that succeeds well enough.

Ever since Copernicus, scientists have continually adjusted their view of human nature, moving it further and further from its ancient position at the center of Creation. But in recent years, a startling new concept has evolved that places it more firmly than ever in a special position. Known as the Anthropic Cosmological Principle, this collection of ideas holds that the existence of intelligent observers determines the fundamental structure of the Universe. In its most radical version, the Anthropic Principle asserts that (...) "intelligent information-processing must come into existence in the Universe, and once it comes into existence, it will never die out." This wide-ranging and detailed book explores the many ramifications of the Anthropic Cosmological Principle, covering the whole spectrum of human inquiry from Aristotle to Z bosons. Bringing a unique combination of skills and knowledge to the subject, John D. Barrow and Frank J. Tipler--two of the world's leading cosmologists--cover the definition and nature of life, the search for extraterrestrial intelligence, and the interpretation of the quantum theory in relation to the existence of observers. The book will be of vital interest to philosophers, theologians, mathematicians, scientists, and historians, as well as to anyone concerned with the connection between the vastness of the universe of stars and galaxies and the existence of life within it on a small planet out in the suburbs of the Milky Way. (shrink)

This, the first of two linked papers, presents the Buddha's analysis of the nature and origins of dukkha (suffering) as a basis for understanding the ways in which mindfulness can transform suffering. The First and Second of the Buddha's Four Noble Truths are presented in a way that has proved helpful to teachers of mindfulness-based applications. These Truths offer a framework of understanding that can guide the application of mindfulness to stress and emotional disorders, while stressing the continuity and inevitability (...) of the experience of dukkha in clients, teachers, and those primarily seeking a new way of being. The crucial involvement of self-view and identification with experience are emphasized. (shrink)

Part I. Gnosticism and other religious movements of antiquity -- part II. Crossing boundaries : Gnosticism and Platonism.

The inaugural title in the new, Open Access series BSPS Open, The Material Theory of Induction will initiate a new tradition in the analysis of inductive inference. The fundamental burden of a theory of inductive inference is to determine which are the good inductive inferences or relations of inductive support and why it is that they are so. The traditional approach is modeled on that taken in accounts of deductive inference. It seeks universally applicable schemas or rules or a single (...) formal device, such as the probability calculus. After millennia of halting efforts, none of these approaches has been unequivocally successful and debates between approaches persist. The Material Theory of Induction identifies the source of these enduring problems in the assumption taken at the outset: that inductive inference can be accommodated by a single formal account with universal applicability. Instead, it argues that that there is no single, universally applicable formal account. Rather, each domain has an inductive logic native to it. Which that is, and its extent, is determined by the facts prevailing in that domain. Paying close attention to how inductive inference is conducted in science and copiously illustrated with real-world examples, The Material Theory of Induction will initiate a new tradition in the analysis of inductive inference. (shrink)

The claim that theoretical entities are not real, that they are merely convenient fictions, has been defended and attacked in diverse ways. This paper is concerned with only one defense of the fictionalist thesis and with a certain realist attack on it. The defense in question is that theories which prima facie make reference to theoretical entities can be revised in such a way that no such apparent reference is made by eliminating all occurrences of theoretical expressions. It will be (...) argued here that there is a procedure for revising theories which meets certain minimal criteria of adequacy, contrary to arguments in the literature. Further, it will be argued that the existence of this procedure provides neither sufficient nor necessary support for the fictionalist thesis, that this procedure is not of significance in the dispute between the fictionalist and the realist. Whether or not the theoretical-nontheoretical distinction is viable is another story which will not be told here. It will be assumed for the sake of argument that such a distinction can be drawn. (shrink)

: Health care professionals should be the ones to make allocation decisions in the managed care setting because they are in the best position to assess outcomes, cost effectiveness, and quality of care.

Ong and Derrida are concerned with presence—for Ong the presence of the other; for Derrida the presence of the signified. These seemingly disparate epistemological meanings of 'presence' actually share some striking similarities, but differ about how reason should be figured, that is, what metaphors should be used to conceptualize reason. This disagreement is fundamentally about what Ong called 'analogues for intellect.' After describing the history of Ong's and Derrida's concept of presence, we indicate how the ethical and religious implications Ong (...) and Derrida draw from 'presence' proceed logically from the analogues for intellect that each assumes. We will conclude, first, that these implications reveal a conflict of traditions—philosophy and rhetoric—but we also indicate how Ong's own rhetoric may permit dialogue between traditions. (shrink)

John D. Schaeffer shows how the seventeenth-century Italian philosopher Giambattista Vico synthesized Greek and Roman ideas of what "sensus communis" and what ...

Contemporary philosophical discussion of religion neglects dualistic religions: although Manichaeism from time to time is accorded mention, Zoroastrianism, a more plausible form of religious dualism, is almost entirely ignored. We seek to change this state of affairs. To this end we present the basic tenets of Zoroastrian dualism, argue that objections to the Zoroastrian conception of God are less strong than typically imagined, argue that objections to the Zoroastrian conception of the devil are less strong than typically imagined, and offer (...) some brief concluding thoughts. (shrink)

Cognitive deficits were produced in rats by different methods of damaging the brain: chronic ingestion of alcohol, causing widespread damage to diffuse cholinergic and aminergic projection systems; lesions (by local injection of the excitotoxins, ibotenate, quisqualate, and AMPA) of the nuclei of origin of the forebrain cholinergic projection system (FCPS), which innervates the neocortex and hippocampal formation; transient cerebral ischaemia, producing focal damage especially in the CA1 pyramidal cells of the dorsal hippocampus; and lesions (by local injection of the neurotoxin, (...) colchicine) of the granule cells of the dentate gyrus. Following chronic alcohol or lesions of the FCPS, transplants of cholinergically rich fetal brain tissue into the terminal areas (neocortex and/or hippocampus) restored performance almost to control levels, with a time course consistent with growth of the transplants and integration with host tissue; transplants of cholinergically poor fetal tissue (hippocampus) were without effect, as were transplants of cholinergically rich tissue into the region containing the nuclei of origin of the FCPS. Grafts of primary cells enriched in glia and cultured neuroblastoma cells into the terminal areas of the FCPS were equally effective, suggesting that there are multiple mechanisms by which neural transplants can restore cognitive function following diffuse cholinergic damage. In contrast, after ischaemia- or neurotoxin-induced damage to CA1 or dentate granule cells respectively, cholinergically rich fetal transplants into the damaged hippocampal formation were ineffective in restoring performance. After ischaemic damage, however, performance was restored by suspension grafts of CA1 cells but not by transplants containing CA3 pyramidal cells or granule cells; and after colchicine damage it was restored by solid grafts containing granule but not CA1 pyramidal cells. Furthermore, electrophysiological evidence has demonstrated functional, graft type-specific host-graft functional neuronal connectivity. Thus, restoration of cognitive function by neural transplants is possible after damage to either diffuse (cholinergic) or point-to-point (intrahippocampal) forebrain systems, but the transplant must be appropriate to the damage to be repaired. Because the different types of brain damage studied provide analogues of human alcoholic dementia, Alzheimer's disease, and heart attack, these results are encouraging with regard to the eventual application of neural transplant surgery to the treatment of cognitive deficits in humans. (shrink)

growth industry, and currently exhibits such bullish prospects that its present competitor seems content to merely slow its rate of growth. Thus the government would have us rejoice that the alligator is eating us slowly. Such a tremendous achievement with the second derivative of..

Contrary to formal theories of induction, I argue that there are no universal inductive inference schemas. The inductive inferences of science are grounded in matters of fact that hold only in particular domains, so that all inductive inference is local. Some are so localized as to defy familiar characterization. Since inductive inference schemas are underwritten by facts, we can assess and control the inductive risk taken in an induction by investigating the warrant for its underwriting facts. In learning more facts, (...) we extend our inductive reach by supplying more localized inductive inference schemes. Since a material theory no longer separates the factual and schematic parts of an induction, it proves not to be vulnerable to Hume's problem of the justification of induction. (shrink)

It is proposed that we use the term “approximation” for inexact description of a target system and “idealization” for another system whose properties also provide an inexact description of the target system. Since systems generated by a limiting process can often have quite unexpected, even inconsistent properties, familiar limit systems used in statistical physics can fail to provide idealizations, but are merely approximations. A dominance argument suggests that the limiting idealizations of statistical physics should be demoted to approximations.

Loneliness in medicine is a serious problem not just for patients, for whom illness is intrinsically isolating, but also for physicians in the contemporary condition of medicine. We explore this problem by investigating the ideal physician-patient relationship, whose analogy with friendship has held enduring normative appeal. Drawing from Talbot Brewer and Nir Ben-Moshe, we argue that this appeal lies in a dynamic form of companionship incompatible with static models of friendship-like physician-patient relationships: a mutual refinement of embodied virtue that draws (...) both persons together. The ideal physician-patient relationship has a dialectical character that fosters each member's improvement of phenomenologically recognizing and embodying moral virtues. A key component of this dynamic is a commitment to the common goal of the patient's health, realized through joint interactivities and conversations over time. The physician's presence to the patient's suffering—understood best as an alienating phenomenological condition for the patient—orients and discloses possibilities for virtuous caregiving by structuring the meanings of the goals, conversations, and joint narrative constitutive of their relationship. Presence to suffering, paradoxically, is perhaps an important prerequisite for this dynamic partnership. These activities dialectically build an interpretive horizon of understanding through which moral goods and character refinement—in and for the other—may become revealed for both persons in their shared being-in-the-world. This analysis of suffering, mood, and revealing of (possible) moral goods has implications for addressing the modern problem of loneliness for patients and physicians, who are increasingly inhibited from building flourishing relationships with each other. (shrink)