Sparse languages play an important role in classical structural complexity theory. In this paper we introduce a natural definition of sparse problems for parameterized complexity theory. We prove an analog of Mahaney's theorem: there is no sparse parameterized problem which is hard for the tth level of the W hierarchy, unless the W hierarchy itself collapses up to level t. The main result is proved for the most general form of parametric many:1 reducibility, where the parameter functions are not assumed (...) to be recursive. This provides one of the few instances in parameterized complexity theory of a full analog of a major classical theorem. The proof involves not only the standard technique of left sets, but also substantial circuit combinatorics to deal with the problem of small weft, and a diagonalization to cope with potentially nonrecursive parameter functions. The latter techniques are potentially of interest for further explorations of parameterized complexity analogs of classical structural results. (shrink)

We investigate the index sets associated with the degree structures of computable sets under the parameterized reducibilities introduced by the authors. We solve a question of Peter Cholakand the first author by proving the fundamental index sets associated with a computable set A, {e : W e ≤ q u A} for q∈ {m, T} are Σ4 0 complete. We also show hat FPT(≤ q n ), that is {e : W e computable and ≡ q n ?}, is Σ4 (...) 0 complete. We also look at computable presentability of these classes. (shrink)

We describe new results in parametrized complexity theory. In particular, we prove a number of concrete hardness results for W[P], the top level of the hardness hierarchy introduced by Downey and Fellows in a series of earlier papers. We also study the parametrized complexity of analogues of PSPACE via certain natural problems concerning k-move games. Finally, we examine several aspects of the structural complexity of W [P] and related classes. For instance, we show that W[P] can be characterized in (...) terms of the DTIME ) and NP. (shrink)

Many natural computational problems have input consisting of two or more parts, one of which may be considered a parameter. For example, there are many problems for which the input consists of a graph and a positive integer. A number of results are presented concerning parameterized problems that can be solved in complexity classes below P, given a single word of advice for each parameter value. Different ways in which the word of advice can be employed are considered, and it (...) is shown that the class FPT of tractable parameterized problems has interesting and natural internal structure. (shrink)

A completeness theory for parameterized computational complexity has been studied in a series of recent papers, and has been shown to have many applications in diverse problem domains including familiar graph-theoretic problems, VLSI layout, games, computational biology, cryptography, and computational learning [ADF,BDHW,BFH, DEF,DF1-7,FHW,FK]. We here study the parameterized complexity of two kinds of problems: (1) problems concerning parameterized computations of Turing machines, such as determining whether a nondeterministic machine can reach an accept state in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} (...) \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $k$\end{document} steps (the Short TM Computation Problem), and (2) problems concerning derivations and factorizations, such as determining whether a word \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $x$\end{document} can be derived in a grammar \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $G$\end{document} in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $k$\end{document} steps, or whether a permutation has a factorization of length \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $k$\end{document} over a given set of generators. We show hardness and completeness for these problems for various levels of the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $W$\end{document} hierarchy. In particular, we show that Short TM Computation is complete for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $W[1]$\end{document}. This gives a new and useful characterization of the most important of the apparently intractable parameterized complexity classes. (shrink)

Research indicates that positive relationships with fellow church members are associated with better mental health. However, far less research has focused on the relationship between negative interaction with fellow church members and mental health outcomes. The purpose of this study is to examine the relationship between church-based negative interaction and depressive symptoms with data from a nationwide sample of older Mexican Americans. Statistically significant findings were found for the following core relationships in our study model: older Mexican Americans who encounter (...) negative interaction with fellow church members experience more doubts about their faith; older Mexican Americans who experience more doubts about their faith are more likely to expect transgressors to perform acts of contrition ; and older Mexican Americans who require transgressors to perform acts of contrition are more likely to experience symptoms of depression. Subsequent empirical analyses provide support for each of these relationships. (shrink)

SummaryThis article examines the Scottish philosopher James Beattie's controversial work of moral philosophy An Essay on the Nature and Immutability of Truth, noted for its pugnacious attack on the sceptical philosophy of David Hume. Usually treated only as an ephemeral success in the early 1770s, the Essay actually had two distinct periods of enormous popularity that account for its contemporary significance in the period between 1770 and 1830. The prominence of the Essay is demonstrated by its widespread positive reception, evinced (...) in both published and private responses, in both England and Scotland, by the high estimation in which it was held within pedagogical circles as an anti-sceptical philosophical primer, and by its continual use as a textbook in both university and dissenting academy logic and moral philosophy classes. In these senses, Beattie's Essay was arguably the most significant work of the Common Sense School of Scottish philosophy. (shrink)

It is meet and right that pride and humility should be the two human characteristics on which University sermons have to be preached. Left to myself, although I might have picked on my modesty as something I should share with you, I should have given the preeminence to other among my sins than pride. My greed, my sloth, my avarice or, in this salacious age my lust, are subjects on which I could tell you much that might interest you. Pride (...) lacks immediate appeal. We are not sure what it is, or whether it is a bad thing, when we think of it in purely individual terms. But when we consider it collectively, we can see that it is, together with humility, something Oxford is peculiarly well qualified to preach on. We all of us are proud of our university. We were proud, and our schoolmasters were proud, when we first got our places here. We are, dons and undergraduates alike, proud of our colleges, each grateful that good fortune has brought him to the best college in Oxford, and anxious that everyone else should secretly acknowledge it to be the best. Our parents were proud when we took our degrees, and although we profess to be unconcerned with classes, we are deeply content to record our firsts when occasion requires us to do so, or have our contemporaries allude to them as opportunity offers. We are studious, as dons, not to pull rank, safe in the knowledge that others will do it for us, and that we shall receive the deference due to a fellow of an Oxford college. In an age that is egalitarian in theory but elitist at heart, Oxford men have benefited greatly, as other forms of social eminence have been eroded, leaving a clear field for our own claims to public esteem, which are, if not entirely unchallenged, still generally allowed. Oxford is, as we like to be told by outsiders, a centre of excellence, and a lot of the resplendence rubs off on us, not altogether undeservedly. It is, as we corporately admit on Commemoration Sunday, largely due to our having entered into other men's labours.. (shrink)

I must start with an apologia. My original paper, ``Minds, Machines and Gödel'', was written in the wake of Turing's 1950 paper in Mind, and was intended to show that minds were not Turing machines. Why, then, didn't I couch the argument in terms of Turing's theorem, which is easyish to prove and applies directly to Turing machines, instead of Gödel's theorem, which is horrendously difficult to prove, and doesn't so naturally or obviously apply to machines? The reason was that (...) Gödel's theorem gave me something more: it raises questions of truth which evidently bear on the nature of mind, whereas Turing's theorem does not; it shows not only that the Gödelian well-formed formula is unprovable-in-the-system, but that it is true. It shows something about reasoning, that it is not completely rule-bound, so that we, who are rational, can transcend the rules of any particular logistic system, and construe the Gödelian well-formed formula not just as a string of symbols but as a proposition which is true. Turing's theorem might well be applied to a computer which someone claimed to represent a human mind, but it is not so obvious that what the computer could not do, the mind could. But it is very obvious that we have a concept of truth. Even if, as was claimed in a previous paper, it is not the summum bonum, it is a bonum, and one it is characteristic of minds to value. A representation of the human mind which could take no account of truth would be inherently implausible. Turing's theorem, though making the same negative point as Gödel's theorem, that some things cannot be done by even idealised computers, does not make the further positive point that we, in as much as we are rational agents, can do that very thing that the computer cannot. I have however, sometimes wondered whether I could not construct a parallel argument based on Turing's theorem, and have toyed with the idea of a von Neumann machine. A von Neumann machine was a black box, inside which was housed John von Neumann.. (shrink)

For more than thirty years the writings and influence of one man in particular have dominated and directed the field of modern business ethics. We are indebted to two of his fellow‐Americans for this portrait of Richard T. De George. R. Edward Freeman is the Elis and Signe Olsson Professor of Business Administration and Director of the Olsson Center for Ethics at The Darden School, University of Virginia, Charlottesville, VA 22906‐6550; and Martin Calkins, SJ, is a Research Assistant in the (...) Olsson Center and a doctoral student in business ethics at the Darden School. (shrink)

For more than thirty years the writings and influence of one man in particular have dominated and directed the field of modern business ethics. We are indebted to two of his fellow‐Americans for this portrait of Richard T. De George. R. Edward Freeman is the Elis and Signe Olsson Professor of Business Administration and Director of the Olsson Center for Ethics at The Darden School, University of Virginia, Charlottesville, VA 22906‐6550; and Martin Calkins, SJ, is a Research Assistant in the (...) Olsson Center and a doctoral student in business ethics at the Darden School. (shrink)

For the philosopher Ivan Illich, society became a set of systems rather than a group of people. As such, society depersonalizes life and brings the need for open non-systematized spaces where people can act and interact outside their typical roles. On the other hand, an absence of formal structures may simply open spaces for the informal reproduction of society’s already well-established structures. Given this conjuncture, can systems be designed to foster personal expression? The answer I found in cybernetics is self-organization, (...) a process of adaptation to a context that can grow different organizations depending on what this context provides. This implies that personal expression is a concern in society’s emergent organizations, calling for meta planning to design the context of some of society’s self-organization processes. The cybernetician Gordon Pask argued that depersonalization follows from non-conversational communications, like the ones that develop in large committees. In response, Pask’s fellow cybernetician Stafford Beer proposed a meeting protocol called Team Syntegrity allowing large groups to subdivide into small integrated discussion groups. While Beer’s work has been extensively discussed in existent literature, this article presents the results of four experiments conducted by using variations of Beer’s protocol to understand both the ease with which it can be adapted to different situations, and the implications of its conversational structure on personal expression. The experiment’s realization demonstrates that the protocol’s preparation is laborious and hard to adapt in a timely manner in situations where participant numbers fluctuate. Automation of these processes, however, offers possibilities to use the approach in loosely organized groups. Automation can also help choosing the most appropriate protocol for particular situations through the manipulation of its configuration. Despite difficulties, the protocol offers promise for different purposes, encouraging personal expression in a way that reverberates with others’ personal perspectives. (shrink)

The world is beginning to look askance at Science. Or, rather, not beginning but intensifying an attitude of suspicion if not of downright hostility. We scientists are, of course, partly to blame; for we have so loudly proclaimed our virtues as the creators of radios and airplanes that, now these instruments are being abused as agents of mass propaganda and mass destruction, we are the obvious targets for the rising wrath of men. This is serious, for science is inseparably a (...) part of the society and culture in which it is embedded, and it does not suffice to deny impatiently ourguilt and shrug away our responsibility to our fellows. (shrink)

We can gain fresh insights into aspects of criminal liability by focusing first on the prior topic of criminal responsibility, and on the relational dimensions of responsibility: responsibility is responsibility for something, to someone. We are criminally responsible as citizens, to our fellow citizens, for committing 'public' wrongs: I discuss the difficulty of giving determinate content to this idea of public wrongs, and the way in which, whereas moral responsibility is typically strict, criminal responsibility is not. Finally, I explore the (...) grounds on which defendants might deny that they are criminally responsible before the courts that seek to try them. (shrink)

ABSTRACT Professor of Moral Philosophy at Marischal College, Aberdeen, James Beattie (1735–1803) was one of the most prominent literary figures of late eighteenth-century Britain. His major works, An Essay on the Nature and Immutability of Truth (1770) and the two-canto poem The Minstrel (1771–1774), were two of the best-sellers of the Scottish Enlightenment and were key to Beattie’s role in the emergence of both the ‘Scottish School’ of Common Sense Philosophy and British Romanticism. Intellectual history scholarship on the Scottish Enlightenment (...) has tended to discuss Beattie in terms of his relationship to his fellow Aberdonian Thomas Read. While clearly important, his link with Reid does not exhaust our potential interest in Beattie. This article explores his extensive engagement with the thought of Jean-Jacques Rousseau (1712–1778). In the process, it is argued that the Genevan’s works – especially the Confession of the Savoyard Vicar in Emile (1762) – played an important though little noticed role in both Beattie’s rhetoric and anti-scepticism in both the Essay and Minstrel. Moreover, Beattie’s initially praising stance on Rousseau as a potential friend to true religion indicates the complexity of the reception of the Genevan’s works in late eighteenth-century Britain. (shrink)

Magnanimity is often regarded as the heroic virtue of glory-seeking warriors and honour-loving aristocrats. But in the Nicomachean Ethics Aristotle presents magnanimity as a civic rather than a heroic virtue. By attending to Aristotle's often overlooked accounts of his indifference to honour and his attitudes towards fortune and towards others, I aim to show that so far from seeking only glory or self-sufficiency, the magnanimous man realizes his true greatness and nobility in his beneficence towards his fellow citizens.

Richard Martin's aim in this paper is to present a critical method of making ethical decisions in a medical context. He feels that such a reflective method provides the best means of making the appropriate decisions in given situations. It is based on Dr Martin's experience in applying ethical theory while collaborating with physicians in the daily course of clinical practice. Through his giving of a functional definition of medical ethics, his descriptions of an analytical model, the significance of values (...) for clinical decision-making and the advocacy role of medical ethicists and their relationships with clinicians, Richard Martin sets out his own value-intention as regards an ideal decision process. He stresses that his argument is of particular importance to his fellow ethicists who should continuously and vigorously examine the creative interaction of faith and fact in their own inquiry and action. Dr Martin concludes by stating that physicians and ethicists can work together to accomplish their common aim, which is, of course, the health and well-being of the patient. (shrink)

Only we must guard against this—not to strain our voice too roughly when conscious of a full stomach or sexual intercourse or physical fatigue. Many politicians and sophists experience this, being induced to engage in competitive debates, some through considerations of glory and ambition, others for pay or political contests. Thus our fellow citizen Niger, when a professional sophist in Galatia, happened to have swallowed a fishbone. But as another sophist had appeared on the scene from abroad and was engaged (...) in declaiming, Niger, fearful that he give the impression of having yielded to the newcomer, himself gave public performances, although the fishbone was still stuck in his throat. A serious and persistent inflammation in consequence developing, as he could not endure the pain, he submitted to a deep surgical incision from without. The fishbone was then removed through the wound site but thereafter the wound itself, becoming troublesome and purulent, caused his death. (shrink)

Bertrand Russell , born in Trelleck, Wales, was the grandson of the first Earl Russell, who introduced the Reform Bill of 1832 and served as prime minister under Queen Victoria. He studied mathematics and philosophy at Trinity College, Cambridge, 1890–1894, was a Fellow of Trinity College, 1895–1901, a Fellow of the Royal Society in 1908, and was a lecturer in philosophy, 1910–1916. Among his publications in philosophy in this period were An Essay on the Foundations of Geometry , A Critical (...) Exposition of the Philosophy of Leibniz , The Principles of Mathematics , Principia Mathematica , The Problems of Philosophy and Our Knowledge of the External World. (shrink)

In the afterword for his book, Malory states that it “was ended the ix yere of the reygne of Kyng Edward the Fourth” , but we have no copy of the book from his own hand. For almost five hundred years the book was known ultimately only from the edition by William Caxton, who indicated in his preface that he printed it “after a copye unto me delyverd” and in his colophon that he finished the printing “the last day of (...) Juyl, the yere of Our Lord MCCCCLXXXV”; we do not have the manuscript copy from which Caxton and his compositors produced the book. Then in 1934 Walter F. Oakeshott discovered in the Fellows Library at Winchester College, England, a manuscript of Malory's book, roughly contemporary with Caxton's edition, prepared by two scribes, lacking nineteen leaves—including the beginning and the ending—and differing rather considerably from Caxton's text. (shrink)

The international disparities in health and health-care provision comprise the gravest problem of medical ethics. The implications are explored of three theories of justice: an expanded version of Rawlsian contractarianism, Nozick's historical account, and a consequentialism which prioritizes the satisfaction of basic needs. The second too little satisfies medical needs to be cogent. The third is found to incorporate the strengths of the others, and to uphold fair rules and practices. Like the first, it also involves obligations transcending those to (...) an agent's relations and fellow-citizens. These conclusions are applied to international health-care provision, which they would transform. (shrink)

Only we must guard against this—not to strain our voice too roughly when conscious of a full stomach or sexual intercourse or physical fatigue. Many politicians and sophists experience this, being induced to engage in competitive debates, some through considerations of glory and ambition, others for pay or political contests. Thus our fellow citizen Niger, when a professional sophist in Galatia, happened to have swallowed a fishbone. But as another sophist had appeared on the scene from abroad and was engaged (...) in declaiming, Niger, fearful that he give the impression of having yielded to the newcomer, himself gave public performances, although the fishbone was still stuck in his throat. A serious and persistent inflammation in consequence developing, as he could not endure the pain, he submitted to a deep surgical incision from without. The fishbone was then removed through the wound site but thereafter the wound itself, becoming troublesome and purulent, caused his death. (shrink)

Are there persuasive approaches to embryonic stem cell (ESC) research that appeal, not just to those fellow-citizens in one’s own ideological camp, nor just to those undecided citizens in the middle, but to those citizens on the other side of the issue? I believe that there are such arguments and in this short paper I try to develop one of them. In particular, I argue that certain beliefs shared by some proponents and some opponents of ESC research—beliefs about the personal (...) identity and moral status of those who are victims of terrible brain diseases—are beliefs that should lead us to adopt a qualified endorsement of ESC research. (shrink)

Plato was born around 2,500 years ago. He lived in a small city-state in Greece and busied himself with the problems of his fellow Greeks, a people living in scattered cities around the Mediterranean and the Black Sea. In all he tried to do for the Greeks he failed. Why, then, should people in the modern world bother to read what he had to say? Does it make sense to go to a Greek thinker for advice on the problems of (...) an age so different from his own? To anyone who has questioned the relevance of Plato to the modern world Richard Crossman’s lively book provides a brilliant reply. The problems facing Plato’s world bear striking parallels to ours today, the author maintains, so who better to turn to than Plato, the most objective and most ruthless observer of the failures of Greek society. Crossman’s engaging text provides both an informed introduction to Greek ideas and an original and controversial view of Plato himself. (shrink)

Several times each month, usually on a Thursday morning, I join one or more of my physician colleagues on teaching rounds. Most weeks these are traditional rounds, where an attending physician leads a group of medical students, residents, and clinical fellows from bed to bed reviewing charts, examining patients, and planning daily procedures. As a medical ethicist, my role is to discuss some of the ethical issues that are embedded in these decisions about medical care and help students to (...) hone the skills required to manage these issues successfully in the context of ongoing care.Although the clinical setting varies, questions of patient management are always at the center of teaching rounds. Since my training is in philosophy, and not in medicine or nursing, there have been occasions when this focus on patient care has prompted me to reflect upon my role as a medical ethicist in these contexts. Lacking even the most basic medical training, and having been remarkably fortunate in having had limited personal experiences as a patient, what can I possibly contribute to the training of physicians?I suspect that at some time or another most teachers, but perhaps especially those trained in the humanities, have moments when they question the usefulness of their teaching. In my case, by introducing perspectives from the humanities on teaching rounds, my hope is to add some balance to the often narrow focus on the ordering of diagnostic tests, scheduling of procedures, obtaining of patient consent, and other practical matters. I often stress, for example, how the patients with whom students and residents interact are not mere patients, but persons with lives outside the hospital that can be made profoundly better or worse as a result of the brief time they are seen in the hospital. I draw attention to the …. (shrink)

Plato was born around 2,500 years ago. He lived in a small city-state in Greece and busied himself with the problems of his fellow Greeks, a people living in scattered cities around the Mediterranean and the Black Sea. In all he tried to do for the Greeks he failed. Why, then, should people in the modern world bother to read what he had to say? Does it make sense to go to a Greek thinker for advice on the problems of (...) an age so different from his own? To anyone who has questioned the relevance of Plato to the modern world Richard Crossman’s lively book provides a brilliant reply. The problems facing Plato’s world bear striking parallels to ours today, the author maintains, so who better to turn to than Plato, the most objective and most ruthless observer of the failures of Greek society. Crossman’s engaging text provides both an informed introduction to Greek ideas and an original and controversial view of Plato himself. (shrink)

Plato was born around 2,500 years ago. He lived in a small city-state in Greece and busied himself with the problems of his fellow Greeks, a people living in scattered cities around the Mediterranean and the Black Sea. In all he tried to do for the Greeks he failed. Why, then, should people in the modern world bother to read what he had to say? Does it make sense to go to a Greek thinker for advice on the problems of (...) an age so different from his own? To anyone who has questioned the relevance of Plato to the modern world Richard Crossman’s lively book provides a brilliant reply. The problems facing Plato’s world bear striking parallels to ours today, the author maintains, so who better to turn to than Plato, the most objective and most ruthless observer of the failures of Greek society. Crossman’s engaging text provides both an informed introduction to Greek ideas and an original and controversial view of Plato himself. (shrink)

In the mid-seventeenth century a movement of self-styled experimental philosophers emerged in Britain. Originating in the discipline of natural philosophy amongst Fellows of the fledgling Royal Society of London, it soon spread to medicine and by the eighteenth century had impacted moral and political philosophy and even aesthetics. Early modern experimental philosophers gave epistemic priority to observation and experiment over theorising and speculation. They decried the use of hypotheses and system-building without recourse to experiment and, in some quarters, developed (...) a philosophy of experiment. The movement spread to the Netherlands and France in the early eighteenth century and later impacted Germany. Its important role in early modern philosophy was subsequently eclipsed by the widespread adoption of the Kantian historiography of modern philosophy, which emphasised the distinction between rationalism and empiricism and had no place for the historical phenomenon of early modern experimental philosophy. The re-emergence of interest in early modern experimental philosophy roughly coincided with the development of contemporary x-phi and there are some important similarities between the two. (shrink)