We study connections between classical asymptotic density, computability and computable enumerability. In an earlier paper, the second two authors proved that there is a computably enumerable set A of density 1 with no computable subset of density 1. In the current paper, we extend this result in three different ways: The degrees of such sets A are precisely the nonlow c.e. degrees. There is a c.e. set A of density 1 with no computable subset of nonzero density. There is a (...) c.e. set A of density 1 such that every subset of A of density 1 is of high degree. We also study the extent to which c.e. sets A can be approximated by their computable subsets B in the sense that A\B has small density. There is a very close connection between the computational complexity of a set and the arithmetical complexity of its density and we characterize the lower densities, upper densities and densities of both computable and computably enumerable sets. We also study the notion of "computable at density r" where r is a real in the unit interval. Finally, we study connections between density and classical smallness notions such as immunity, hyperimmunity, and cohesiveness. (shrink)

We classify the asymptotic densities of the sets according to their level in the Ershov hierarchy. In particular, it is shown that for, a real is the density of an n‐c.e. set if and only if it is a difference of left‐ reals. Further, we show that the densities of the ω‐c.e. sets coincide with the densities of the sets, and there are ω‐c.e. sets whose density is not the density of an n‐c.e. set for any.

For [Formula: see text], the coarse similarity class of A, denoted by [Formula: see text], is the set of all [Formula: see text] such that the symmetric difference of A and B has asymptotic density 0. There is a natural metric [Formula: see text] on the space [Formula: see text] of coarse similarity classes defined by letting [Formula: see text] be the upper density of the symmetric difference of A and B. We study the metric space of coarse similarity classes (...) under this metric, and show in particular that between any two distinct points in this space there are continuum many geodesic paths. We also study subspaces of the form [Formula: see text] where [Formula: see text] is closed under Turing equivalence, and show that there is a tight connection between topological properties of such a space and computability-theoretic properties of [Formula: see text]. We then define a distance between Turing degrees based on Hausdorff distance in the metric space [Formula: see text]. We adapt a proof of Monin to show that the Hausdorff distances between Turing degrees that occur are exactly 0, [Formula: see text], and 1, and study which of these values occur most frequently in the senses of Lebesgue measure and Baire category. We define a degree a to be attractive if the class of all degrees at distance [Formula: see text] from a has measure 1, and dispersive otherwise. In particular, we study the distribution of attractive and dispersive degrees. We also study some properties of the metric space of Turing degrees under this Hausdorff distance, in particular the question of which countable metric spaces are isometrically embeddable in it, giving a graph-theoretic sufficient condition for embeddability. Motivated by a couple of issues arising in the above work, we also study the computability-theoretic and reverse-mathematical aspects of a Ramsey-theoretic theorem due to Mycielski, which in particular implies that there is a perfect set whose elements are mutually 1-random, as well as a perfect set whose elements are mutually 1-generic. Finally, we study the completeness of [Formula: see text] from the perspectives of computability theory and reverse mathematics. (shrink)

In _Matter and Consciousness_, Paul Churchland presents a concise and contemporary overview of the philosophical issues surrounding the mind and explains the main theories and philosophical positions that have been proposed to solve them. Making the case for the relevance of theoretical and experimental results in neuroscience, cognitive science, and artificial intelligence for the philosophy of mind, Churchland reviews current developments in the cognitive sciences and offers a clear and accessible account of the connections to philosophy of mind. For (...) this third edition, the text has been updated and revised throughout. The changes range from references to the iPhone's "Siri" to expanded discussions of the work of such contemporary philosophers as David Chalmers, John Searle, and Thomas Nagel. Churchland describes new research in evolution, genetics, and visual neuroscience, among other areas, arguing that the philosophical significance of these new findings lies in the support they tend to give to the reductive and eliminative versions of materialism. Matter and Consciousness, written by the most distinguished theorist and commentator in the field, offers an authoritative summary and sourcebook for issues in philosophy of mind. It is suitable for use as an introductory undergraduate text. (shrink)

Paul Moser's book defends what has been an unfashionable view in recent epistemology: the foundationalist account of knowledge and justification. Since the time of Plato philosophers have wondered what exactly knowledge is. This book develops a new account of perceptual knowledge which specifies the exact sense in which knowledge has foundations. The author argues that experiential foundations are indeed essential to perceptual knowledge, and he explains what knowledge requires beyond justified true beliefs. In challenging prominent sceptical claims that we (...) have no justified beliefs about the external world, the book outlines a theory of rational belief. (shrink)

This book offers a radically new account of the development and structure of the central arguments of Kant's Critique of Pure Reason: the defense of the objective validity of such categories as substance, causation, and independent existence. Paul Guyer makes far more extensive use than any other commentator of historical materials from the years leading up to the publication of the Critique and surrounding its revision, and he shows that the work which has come down to us is the (...) result of some striking and only partially resolved theoretical tensions. Kant had originally intended to demonstrate the validity of the categories by exploiting what he called 'analogies of appearance' between the structure of self-knowledge and our knowledge of objects. The idea of a separate 'transcendental deduction', independent from the analysis of the necessary conditions of empirical judgements, arose only shortly before publication of the Critique in 1781, and distorted much of Kant's original inspiration. Part of what led Kant to present this deduction separately was his invention of a new pattern of argument - very different from the 'transcendental arguments' attributed by recent interpreters to Kant - depending on initial claims to necessary truth. (shrink)

The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox, a challenge to 'classical' mathematics from a world-famous mathematician, a new foundational school, and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably with Bertrand Russell, W. V. Quine, and Gödel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection (...) brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field. (shrink)

This collection of essays by one of the preeminent Kant scholars of our time transforms our understanding of both Kant's aesthetics and his ethics. Guyer shows that at the very core of Kant's aesthetic theory, disinterestedness of taste becomes an experience of freedom and thus an essential accompaniment to morality itself. At the same time he reveals how Kant's moral theory includes a distinctive place for the cultivation of both general moral sentiments and particular attachments on the basis of the (...) most rigorous principle of duty. Kant's thought is placed in a rich historical context including such figures as Shaftesbury, Hutcheson, Hume, Burke, Kames, as well as Baumgarten, Mendelssohn, Schiller, and Hegel. Other topics treated are the sublime, natural versus artistic beauty, genius and art history, and duty and inclination. These essays extend and enrich the account of Kant's aesthetics in the author's earlier book, Kant and the Claims of Taste. (shrink)

This entirely new translation of Critique of Pure Reason is the most accurate and informative English translation ever produced of this epochal philosophical text. Though its simple and direct style will make it suitable for all new readers of Kant, the translation displays an unprecedented philosophical and textual sophistication that will enlighten Kant scholars as well. This translation recreates as far as possible a text with the same interpretative nuances and richness as the original. The extensive editorial apparatus includes informative (...) annotation, detailed glossaries, an index, and a large-scale general introduction in which two of the world's preeminent Kant scholars provide both a succinct summary of the structure and argument of the Critique and a detailed account of its long and complex genesis. (shrink)

In “What you can’t expect when you’re expecting,” I argue that, if you don’t know what it’s like to be a parent, you cannot make this decision rationally—at least, not if your decision is based on what you think it would be like for you to become a parent. My argument hinges on the idea that becoming a parent is a transformative experience. This unique type of experience often transforms people in a deep and personal sense, and in the process, (...) changes their preferences. In section 1, I will explain transformative experience in terms of radical first-personal epistemic and self change. In section 2, I’ll explain the notion of subjective value that I use to develop the decision problem. In section 3, I will discuss the way we ordinarily combine our introspective assessments with testimony and evidence. In section 4, I will discuss the problems for rational decision-making. In section 5, I will explore the problem of first-personally transformed future selves. In section 6, I will engage with the main themes and arguments and ideas of the authors of the papers contributed to this volume. (shrink)

Churchland explores the unfolding impact of the several empirical sciences of the mind, especially cognitive neurobiology and computational neuroscience on a variety of traditional issues central to the discipline of philosophy. Representing Churchland's most recent research, they continue his research program, launched over thirty years ago which has evolved into the field of neurophilosophy. Topics such as the nature of Consciousness, the nature of cognition and intelligence, the nature of moral knowledge and moral reasoning, neurosemantics or world-representation in the brain, (...) the nature of our subjective sensory qualia and their relation to objective science, and the future of philosophy itself are here addressed in a lively, graphical, and accessible manner. Throughout the volume, Churchland's view that science is as important as philosophy is emphasised. Several of the color figures in the volume will allow the reader to perform some novel phenomenological experiments on his/her own visual system. (shrink)

Immanuel Kant claims that transcendental idealism yields a form of realism at the empirical level. Polite silence might best describe the reception this assertion has garnered among even sympathetic interpreters. This book challenges that prejudice, offering a controversial presentation and rehabilitation of Kant's empirical realism that places his realist credentials at the centre of the account of representation he offers in the Critique of Pure Reason. This interpretation ranges over the major themes contained in the Analytic of Principles and relevant (...) portions of the Dialectic. Kant's analysis of the conditions necessary for determinate representation is shown to involve a realist understanding of the relation of mind and world. The realist character of Kant's account of empirical truth, and his commitment to the unity of nature, are defended against competing empiricist, pragmatist, and methodological readings. This title links Kant studies to contemporary philosophical debates, and will appeal to scholars and students of Kant, as well as epistemologists, metaphysicians, and philosophers of science interested in a powerful, experience-sensitive, form of realism. (shrink)

Contains nineteen newly commissioned articles by top philosophers on various aspects of the theory of knowledge. The articles survey the field as well as make original contributions to contemporary debates.

Bioethics is currently witnessing unprecedented debate over the moral and legal norms governing the conduct of clinical research. At the center of this debate is the duty of care in clinical research, and its most widely accepted specification, clinical equipoise. In recent work, we have argued that equipoise and cognate concepts central to the ethics of clinical research have been left unnecessarily vulnerable to criticism. We have suggested that the vulnerability lies in the conspicuous absence of an articulated foundation in (...) moral and legal theory of the physician-researcher's duty of care to the patient-subject. We have repeatedly suggested that the requisite foundation is in the ethics of trust and the law of fiduciaries.Curiously, despite the absence of a published thorough exposition of our position, some have preemptively criticized our suggestion that the relationship between physician-researcher and patient-subject is fiduciary. Others have offered their own accounts of the implications of fiduciary law for the relationship. (shrink)

In the research ethics literature, there is strong disagreement about the ethical acceptability of placebo-controlled trials, particularly when a tested therapy aims to alleviate a condition for which standard treatment exists. Recently, this disagreement has given rise to debate over the moral appropriateness of the principle of clinical equipoise for medical research. Underlying these debates are two fundamentally different visions of the moral obligations that investigators owe their subjects.Some commentators and ethics documents claim that physicians, whether acting as care givers (...) or researchers, have the same duty of beneficence towards their patients and subjects: namely, that they must provide optimal medical care. In discussing placebo surgery in research on refractory Parkinson's disease, Peter Clark succinctly states this view: “The researcher has an ethical responsibility to act in the best interest of subjects.”. (shrink)

In their highly topical paper, Grahamet alargued that Trusted Research Environments (TREs) are not actually about trust because they reduce or remove ‘…the need for trust in the use and sharing of patient health data’. We believe this is fundamentally mistaken. TREs mitigate or remove some risks, but they do not address all public concerns. In this regard, TREs provide evidence for people to decide whether the bodies holding and using their data can be trusted. TREs may make it easier (...) for people to trust but there is still a need for that trust. (shrink)

The point, for the 946,326th time is that people get elected to office by currying the favor of powerful interest groups. They don’t get elected for their excellence as political philosophers.Congress has consistently failed to solve some serious problems with the cost, effectiveness, and safety of pharmaceuticals. In part, this failure results from the pharmaceutical industry convincing legislators to define policy problems in ways that protect industry profits. By targeting campaign contributions to influential legislators and by providing them with selective (...) information, the industry manages to displace the public’s voice in developing pharmaceutical policy. (shrink)

Over the past thirty years, the doctrine of informed consent has become a focal point in discussions of medical ethics. The literature of informed consent explores the evolution of the principle of autonomy, purportedly emerging from the mists of 19th Century medical practice, and finding its earliest articulation in legal cases where wronged citizens asserted their rights against medical authority. A commonplace, if not obligatory, feature of that literature is a reference to the case of Mary Schloendorff and the opinion (...) written by Judge Benjamin Cardozo by which the case is remembered. Commentators today applaud the prescience of Cardozo for an early articulation of what eventually would become bioethical orthodoxy concerning informed consent and its place as a bulwark of patient autonomy. They inevitably quote Cardozo's famous statement, “Every human being of adult years and sound mind has a right to determine what shall be done with his own body.”. (shrink)

The surge in genetic research and technology, fuelled in large part by the Human Genome Project, has resulted in the continuing expansion of the range of genetic tests and other genetic information available to physicians, insurance companies, employers, and the general public.’ Genetic tests can provide presymptomatic medical information about an individual, including information about an individual's increased risk of future disease, disability, or early death. These tests can reveal information about an individual's carrier status, that is, the likelihood of (...) parents passing on to their children a genetic condition, and about the health of the individual's family members. Although genetic information provides the promise of early detection and treatment of certain illnesses and disorders, it also poses risks. As a result of the increase in genetic testing and information, legal issues regarding employment discrimination on the basis of genetic information are emerging. (shrink)

Human Goodness presents an original, pragmatic moral theory that successfully revives and revitalizes the classical Greek concept of happiness. It also includes in-depth discussions of our freedoms, our obligations, and our virtues, as well as adroit comparisons with the moral theories of Kant and Hume. Paul Schollmeier explains that the Greeks define happiness as an activity that we may perform for its own sake. Obvious examples might include telling stories, making music, or dancing. He then demonstrates that we may (...) use the pragmatic method to discover and to define innumerable activities of this kind. Schollmeier's demonstration rests on the modest assumption that our happiness takes not one ideal form, but many empirical forms. (shrink)

"Since the end of the last century," Walter Benjamin wrote, "philosophy has made a series of attempts to lay hold of the 'true' experience as opposed to the kind that manifests itself in the standardized, denatured life of the civilized masses. It is customary to classify these efforts under the heading of a philosophy of life. Towering above this literature is Henri Bergson's early monumental work, Matter and Memory."Along with Husserl's Ideas and Heidegger's Being and Time, Bergson's work represents one (...) of the great twentieth-century investigations into perception and memory, movement and time, matter and mind. Arguably Bergson's most significant book, Matter and Memory is essential to an understanding of his philosophy and its legacy.This new edition includes an annotated bibliography prepared by Bruno Paradis.Henri Bergson was awarded the Nobel Prize in 1927. His works include Time and Free Will, An Introduction to Metaphysics, Creative Evolution, and The Creative Mind. (shrink)

28 essays on all aspects of Nietzsche's thought. The attached file contains the introduction and table of contents.

This chapter contains sections titled: Introduction Section 1: Rational Judgment and Understanding Section 2: The Structure of Systematicity Section 3: Systematicity as Methodological Maxim? Section 4: Nature and Rational Structure.

Name der Zeitschrift: Jahrbuch für Wissenschaft und Ethik Jahrgang: 19 Heft: 1 Seiten: 77-90.

As educators we are haunted. This haunting takes place on several levels, through our personal histories, through key theoretical ideas we have encountered on our journeys, and by those significant educators who have gone before. This paper highlights how Elwyn S. Richardson continues to haunt education in New Zealand. Also how Elwyn, in turn, was haunted by ‘Wal’ and John Dewey. Rubbing up against neo-liberal reform, philosophers such as Elwyn, give us permission to develop our own personal educational philosophy. Through (...) employing an arts-based autoethnography, we explore how our educational journeys have been haunted by Elwyn. And by drawing on Jacques Derrida’s directive, ‘speak to the ghost’, we summon up Elwyn. To do this we write a series of fictional letters which enable us to reflect on one author’s memories. Through analysis of these letters we demonstrate the importance of the Arts as a method to critically reflect upon, and rise above, the dominant neo-liberal ideology we work within. We speculate here that a strong personal philosophy has the potential to disrupt and engage educators critically with an institutional philosophy that continues to dominate much of mainstream education in New Zealand. (shrink)

In this collection, thirteen prominent philosophers and political scientists address the nature of liberalism, its origins, and its meaning and proper interpretation. Some essays examine the writings of liberalism's earliest defenders, like John Locke and Adam Smith, or the influence of classical liberalism on the American founders. Some focus on the Progressive movement and the rise of the administrative state, while others defend particular conceptions of liberalism or examine liberal theories of justice, including those of John Rawls and Robert Nozick. (...) Several essays discuss the U.S. Constitution, seeking to determine whether it is best viewed as empowering the federal government to achieve certain ends, or as strictly limiting its power to ensure the broadest freedom for individuals to pursue their own ends. Other essays address the limits of economic freedom or focus on the nature and extent of property rights and the government's power of eminent domain. (shrink)

General introduction -- The concept of science in the context of Western Civilization and the debate between science and faith -- Relationship between science and religion -- The unity of reason -- General conclusion.