Families of Borel equivalence relations and quasiorders that are cofinal with respect to the Borel reducibility ordering, ≤B, are constructed. There is an analytic ideal on ω generating a complete analytic equivalence relation and any Borel equivalence relation reduces to one generated by a Borel ideal. Several Borel equivalence relations, among them Lipschitz isomorphism of compact metric spaces, are shown to be Kσ complete.

We introduce and study the framework of compact metric structures and their associated notions of isomorphisms such as homeomorphic and bi-Lipschitz isomorphism. This is subsequently applied to model various classification problems in analysis such as isomorphism ofC*-algebras and affine homeomorphism of Choquet simplices, where among other things we provide a simple proof of the completeness of the isomorphism relation of separable, simple, nuclearC*-algebras recently established by M. Sabok.

We survey various aspects of the problem of automatic continuity of homomorphisms between Polish groups.

We investigate extensions of S. Solecki's theorem on closing off finite partial isometries of metric spaces [11] and obtain the following exact equivalence: any action of a discrete group Γ by isometries of a metric space is finitely approximable if and only if any product of finitely generated subgroups of Γ is closed in the profinite topology on Γ.

Given a finitely generated group Γ, we study the space Isom(Γ, ℚ������) of all actions of Γ by isometries of the rational Urysohn metric space ℚ������, where Isom(Γ, ℚ������) is equipped with the topology it inherits seen as a closed subset of Isom(ℚ������) Γ . When Γ is the free group ������ n on n generators this space is just Isom(ℚ������) n , but is in general significantly more complicated. We prove that when Γ is finitely generated Abelian there is (...) a generic point in Isom(Γ, ℚ������), i.e., there is a comeagre set of mutually conjugate isometric actions of Γ on ℚ������. (shrink)

We consider actions of completely metrisable groups on simplicial trees in the context of the Bass—Serre theory. Our main result characterises continuity of the amplitude function corresponding to a given action. Under fairly mild conditions on a completely metrisable group G, namely, that the set of elements generating a non-discrete or finite subgroup is somewhere dense, we show that in any decomposition as a free product with amalgamation, G = A * C B, the amalgamated groups A, B and C (...) are open in G. (shrink)

It is proved that any countable index, universally measurable subgroup of a Polish group is open. By consequence, any universally measurable homomorphism from a Polish group into the infinite symmetric group S ∞ is continuous. It is also shown that a universally measurable homomorphism from a Polish group into a second countable, locally compact group is necessarily continuous.

We show that the quasi-order of continuous embeddability between finitely branching dendrites (a natural class of fairly simple compacta) is $\Sigma_1^1$ -complete. We also show that embeddability between countable linear orders with infinitely many colors is $\Sigma_1^1$ -complete.

Spacetime as we know and love it is lost in most approaches to quantum gravity. For many of these approaches, as inchoate and incomplete as they may be, one of the main challenges is to relate what they take to be the fundamental non-spatiotemporal structure of the world back to the classical spacetime of GR. The present essay investigates how spacetime is lost and how it may be regained in one major approach to quantum gravity, loop quantum gravity.

In this paper, I argue that no theory of consciousness can simultaneously respect four initially plausible metaphysical claims – namely, ‘first-person realism’, ‘non-solipsism’, ‘non-fragmentation’, and ‘one world’ – but that any three of the four claims are mutually consistent. So, theories of consciousness face a ‘quadrilemma’. Since it will be hard to achieve a consensus on which of the four claims to retain and which to give up, we arrive at a landscape of competing theories, all of which have pros (...) and cons. I will briefly indicate which kinds of theories correspond to the four horns of the quadrilemma. (shrink)

_Making Sense of Tantric Buddhism_ fundamentally rethinks the nature of the transgressive theories and practices of the Buddhist Tantric traditions, challenging the notion that the Tantras were "marginal" or primitive and situating them instead--both ideologically and institutionally--within larger trends in mainstream Buddhist and Indian culture. Critically surveying prior scholarship, Wedemeyer exposes the fallacies of attributing Tantric transgression to either the passions of lusty monks, primitive tribal rites, or slavish imitation of Saiva traditions. Through comparative analysis of modern historical narratives--that depict (...) Tantrism as a degenerate form of Buddhism, a primal religious undercurrent, or medieval ritualism--he likewise demonstrates these to be stock patterns in the European historical imagination. Through close analysis of primary sources, Wedemeyer reveals the lived world of Tantric Buddhism as largely continuous with the Indian religious mainstream and deploys contemporary methods of semiotic and structural analysis to make sense of its seemingly repellent and immoral injunctions. Innovative, semiological readings of the influential _Guhyasamaja Tantra_ underscore the text's overriding concern with purity, pollution, and transcendent insight--issues shared by all Indic religions--and a large-scale, quantitative study of Tantric literature shows its radical antinomianism to be a highly managed ritual observance restricted to a sacerdotal elite. These insights into Tantric scripture and ritual clarify the continuities between South Asian Tantrism and broader currents in Indian religion, illustrating how thoroughly these "radical" communities were integrated into the intellectual, institutional, and social structures of South Asian Buddhism. (shrink)

_Making Sense of Tantric Buddhism_ fundamentally rethinks the nature of the transgressive theories and practices of the Buddhist Tantric traditions, challenging the notion that the Tantras were "marginal" or primitive and situating them instead -- both ideologically and institutionally -- within larger trends in mainstream Buddhist and Indian culture. Critically surveying prior scholarship, Wedemeyer exposes the fallacies of attributing Tantric transgression to either the passions of lusty monks, primitive tribal rites, or slavish imitation of Saiva traditions. Through comparative analysis of (...) modern historical narratives -- that depict Tantrism as a degenerate form of Buddhism, a primal religious undercurrent, or medieval ritualism -- he likewise demonstrates these to be stock patterns in the European historical imagination. Through close analysis of primary sources, Wedemeyer reveals the lived world of Tantric Buddhism as largely continuous with the Indian religious mainstream and deploys contemporary methods of semiotic and structural analysis to make sense of its seemingly repellent and immoral injunctions. Innovative, semiological readings of the influential _Guhyasamaja Tantra_ underscore the text's overriding concern with purity, pollution, and transcendent insight -- issues shared by all Indic religions -- and a large-scale, quantitative study of Tantric literature shows its radical antinomianism to be a highly managed ritual observance restricted to a sacerdotal elite. These insights into Tantric scripture and ritual clarify the continuities between South Asian Tantrism and broader currents in Indian religion, illustrating how thoroughly these "radical" communities were integrated into the intellectual, institutional, and social structures of South Asian Buddhism. (shrink)

Body care is considered a key aspect of nursing and imperative for the health, wellbeing, and dignity of older people. In Scandinavian countries, body care as a professional practice has undergone considerable changes, bringing new understandings, values, and dilemmas into nursing. A systematic mapping review was conducted with the aims of identifying and mapping international nursing research on body care of older people in different institutionalized settings in the healthcare system and to critically discuss the dominant assumptions within the research (...) by adapting a problematization approach. Most identified papers reported on empirical research with a biomedical approach focusing on outcome and effectiveness. Conceptual papers, papers with a focus on the perspectives of the older people, or contextual and material aspects were lacking. The research field is dominated by four dominant assumptions: Body care as an evidence‐based practice, body care as a relational ethical practice, the body as a body‐object and a body‐subject, the objects in the body care practices as nonrelational materialities. Given the complexities of professional body care practices, there is a need for other research designs and theoretical perspectives within nursing that expand our understanding of body care taking into consideration the multiple social and material realities. (shrink)

One of the hallmark themes of Karl Popper’s approach to the social sciences was the insistence that when social scientists are members of the society they study, then they are liable to affect that society. In particular, they are liable to affect it in such a way that the claims they make lose their validity. “The interaction between the scientist’s pronouncements and social life almost invariably creates situations in which we have not only to consider the truth of such pronouncements, (...) but also their actual influence on future developments. The social scientist may be striving to find the truth; but, at the same time, he must always be exerting a definite influence upon society. The very fact that his pronouncements do exert an influence destroys their objectivity.” (Popper 1963. (shrink)

The problem of free will as it is know in Western philosophical traditions is hardly known in China. Considering how central the problem is in the West, this is a remarkable fact. We try to explain this, and we offer insights into discussions within Chinese traditions that we think are related, not historically but regarding the issues discussed. Thus we introduce four central Chinese concepts, namely: (1) xīn 心 (heart, heart-mind), (2) xìng 性 (human nature, characteristic tendencies, inborn capacity), (3) (...) mìng 命 (lifespan, fate, command, allotment, endowment), and (4) zìrán 自然 (self-so, so of itself, nature, spontaneity), and we indicate how these concepts and their discussions can be related to discussions on free will. (shrink)

This is a chapter of the planned monograph "Out of Nowhere: The Emergence of Spacetime in Quantum Theories of Gravity", co-authored by Nick Huggett and Christian Wüthrich and under contract with Oxford University Press. (More information at www<dot>beyondspacetime<dot>net.) This chapter introduces causal set theory and identifies and articulates a 'problem of space' in this theory.

This anthology is based on a symposium in the series "Young Philosophy of Religion," jointly organized by the Catholic Academy in Berlin and the Research Institute for Philosophy Hanover. German text.

Mémoire de Mons. Lange contre cette philosophie -- Réponse préliminaire d'un auteur anonimeà ce mémoire -- Sommaire de la réponse de Mr. Wolf mȩme avec un avis au lecteur de l'histoire de ce nouveau différend.

Abstract:Robert Sugden has suggested a normative standard of freedom as ‘opportunity’ that is supposed to help realign normative economics – with its traditional rational choice orientation – with behavioural economics. While allowing preferences to be incoherent, he wants to maintain the anti-paternalist stance of orthodox welfare economics. His standard, though, presupposes that people respond to uncertainty about their own future preferences by dismissing any kind of self-constraint. We argue that the approach lacks psychological substance: Sugden's normative benchmark – the ‘responsible (...) person’ – can hardly serve as a convincing role model in a contractarian setting. An alternative concept is introduced, and some implications are briefly discussed. (shrink)

Des Herrn Doct. und Prof. Joachim Langens, oder, Der Theologischen Facultaet zu Halle Anmerckungen über des Herrn Hoff-Raths und Professor Christian Wolffens Metaphysicam ... nebst beygefügter Hr. Hoff-R. und Prof. Christian Wolffens gründlicher Antwort -- Herrn D. Joh. Francisci Buddei S.S. Theol. P.P.O. zu Jena Bedencken über die Wolffianische Philosophie, mit Anmerckungen erläutert von Christian Wolffen.

De differentia nexus rerum sapientis et fatalis necessitatis -- Monitum ad commentationem luculentam de differentia nexus rerum sapientis et fatalis necessitatis.

Keine ausführliche Beschreibung für "Ethik und Technik" verfügbar.

This paper generalises the classical Condorcet jury theorem from majority voting over two options to plurality voting over multiple options. The paper further discusses the debate between epistemic and procedural democracy and situates its formal results in that debate. The paper finally compares a number of different social choice procedures for many-option choices in terms of their epistemic merits. An appendix explores the implications of some of the present mathematical results for the question of how probable majority cycles (as in (...) Condorcet's paradox) are in large electorates. (shrink)