In this paper we will offer a few examples to illustrate the orientation of contemporary research in data analysis and we will investigate the corresponding role of mathematics. We argue that the modus operandi of data analysis is implicitly based on the belief that if we have collected enough and sufficiently diverse data, we will be able to answer most relevant questions concerning the phenomenon itself. This is a methodological paradigm strongly related, but not limited to, biology, and we label (...) it the microarray paradigm. In this new framework, mathematics provides powerful techniques and general ideas which generate new computational tools. But it is missing any explicit isomorphism between a mathematical structure and the phenomenon under consideration. This methodology used in data analysis suggests the possibility of forecasting and analyzing without a structured and general understanding. This is the perspective we propose to call agnostic science, and we argue that, rather than diminishing or flattening the role of mathematics in science, the lack of isomorphisms with phenomena liberates mathematics, paradoxically making more likely the practical use of some of its most sophisticated ideas. (shrink)

The development of transplantation technology increasingly places before society a multitude of diverse, complex ethical and legal problems. The subject is the more complex because of the various divergent interests involved. There are the interests of the donor of organs, who has a right to protection of his legal position, and those of the patient in need of an often lifesaving organ. There are also the interests of the donor’s relatives, after his death, and those of the transplantation surgeons. The (...) international dimension of transplantation technology makes the picture even more complicated. Though this article is devoted to the European situation, the problems are similar all over the world. (shrink)

The development of transplantation technology increasingly places before society a multitude of diverse, complex ethical and legal problems. The subject is the more complex because of the various divergent interests involved. There are the interests of the donor of organs, who has a right to protection of his legal position, and those of the patient in need of an often lifesaving organ. There are also the interests of the donor’s relatives, after his death, and those of the transplantation surgeons. The (...) international dimension of transplantation technology makes the picture even more complicated. Though this article is devoted to the European situation, the problems are similar all over the world. (shrink)

Mencius, who lived in the 4th century B.C., is second only to Confucius in importance in the Confucian tradition. The _Mencius_ consists of sayings of Mencius and conversations he had with his contemporaries. When read side by side with the _Analects_, the _Mencius_ throws a great deal of light on the teachings of ConfuciusMencius developed many of the ideas of Confucius and at the same time discussed problems not touched upon by Confucius. He drew out the implications of Confucius' moral (...) principles and reinterpreted them for the conditions of his time. As the fullest of the four great Confucian texts, the _Mencius_ has been the required reading amongst Chinese scholars for two thousand years, and it still throws considerable light on the character of the Chinese people. (shrink)

We show that, if a suitable intuitionistic metatheory proves that consistency implies satisfiability for subfinite sets of propositional formulas relative either to standard structures or to Kripke models, then that metatheory also proves every negative instance of every classical propositional tautology. Since reasonable intuitionistic set theories such as HAS or IZF do not demonstrate all such negative instances, these theories cannot prove completeness for intuitionistic propositional logic in the present sense.

It is obvious that two contingent statements, each of which denies the existence of something, can be inconsistent with one another: for example, ‘There are no non-black ravens, and there is at least one raven’, and ‘There are no black ravens’. But it is also obvious that these two statements are inconsistent only because one of them, as well as denying the existence of something, asserts the existence of something. The mere denials of existence, ‘There are no non-black ravens’ and (...) ‘There are no black ravens’, are consistent with one another. Indeed, it must hold quite generally that two contingent statements cannot be inconsistent, where each is a mere denial of existence in the sense that it denies existence and does not also assert existence. For in order to be inconsistent with a mere denial of existence, a second statement must assert existence, whatever else it may do; and if it asserts existence, it is not itself a mere denial of existence. (shrink)

A record of the words and teachings of Confucius, _The Analects_ is considered the most reliable expression of Confucian thought. However, the original meaning of Confucius's teachings have been filtered and interpreted by the commentaries of Confucianists of later ages, particularly the Neo-Confucianists of the Song dynasty, not altogether without distortion.In this monumental translation by Professor D. C. Lau, an attempt has been made to interpret the sayings as they stand. The corpus of the sayings is taken as an organic (...) whole and the final test of the interpretation rests on the internal consistency it exhibits. In other words, _The Analects_ is read in the light of _The Analects._This results in a truer understanding of Confucius' thought than the traditional interpretation and paves the way for a re-assessment of its importance in the history of Chinese thought and its relevance to the present day world.This volume also contains an introduction to the life and teachings of Confucius, and three appendices on the events in the life of Confucius, on his disciples, and on the composition of _The Analects._. (shrink)

In 1957, Gödel proved that completeness for intuitionistic predicate logic HPL implies forms of Markov's Principle, MP. The result first appeared, with Kreisel's refinements and elaborations, in Kreisel. Featuring large in the Gödel-Kreisel proofs are applications of the axiom of dependent choice, DC. Also in play is a form of Herbrand's Theorem, one allowing a reduction of HPL derivations for negated prenex formulae to derivations of negations of conjunctions of suitable instances. First, we here show how to deduce Gödel's results (...) by alternative means, ones arguably more elementary than those of Kreisel. We avoid DC and Herbrand's Theorem by marshalling simple facts about negative translations and Markov's Rule. Second, the theorems of Gödel and Kreisel are commonly interpreted as demonstrating the unprovability of completeness for HPL, if means of proof are confined within strictly intuitionistic metamathematics. In the closing section, we assay some doubts about such interpretations. (shrink)

_Rhetoric_ is the sixth volume in The New Hackett Aristotle series, a series featuring translations, with Introductions and Notes, by C. D. C. Reeve, Delta Kappa Epsilon Distinguished Professor of Philosophy at The University of North Carolina at Chapel Hill. The series will eventually include all of Aristotle's works.

Through discourse with international groups of physicians, we conducted a cross-cultural analysis of the types of ethical dilemmas physicians face. Qualitative analysis was used to categorise the dilemmas into seven themes, which we compared among the physicians by country of practice. These themes were a-theoretically-driven and grounded heavily within the text. We then subjected the dilemmas to an analysis of moral intensity, which represents an important theoretical perspective of ethical decision making. These constructs represent salient determinants of ethical behaviour and (...) our cross-cultural sample afforded us the opportunity to consider both the pragmatic aspects of culture, as they are perceived by physicians, as well as the theory-driven concept of moral intensity. By examining both culture and moral intensity, we hope to better elucidate the complexities of ethical decision-making determinants among physicians in their daily practice. Doing so may potentially have practical implications for ethics training of medical students and foreign physicians. (shrink)

The historical antecedents of Frege's treatment of binocular vision in "The thought" were the physiological writings of Johannes Mueller, Hermann von Helmholtz, and Emil du Bois-Reymond. In their research on human vision, logic was assigned an unexpected role: it was to be the means by which knowledge of a world extended in three dimensions arises from stimuli that are at best two-dimensional. An examination of this literature yields a richer understanding of Frege's insistence that a proper epistemology requires us to (...) recognize the existence and importance of nonsensible sources of knowledge. (shrink)

Mencius, who lived in the 4th century B.C., is second only to Confucius in importance in the Confucian tradition. The _Mencius_ consists of sayings of Mencius and conversations he had with his contemporaries. When read side by side with the _Analects_, the _Mencius_ throws a great deal of light on the teachings of ConfuciusMencius developed many of the ideas of Confucius and at the same time discussed problems not touched upon by Confucius. He drew out the implications of Confucius' moral (...) principles and reinterpreted them for the conditions of his time. As the fullest of the four great Confucian texts, the _Mencius_ has been the required reading amongst Chinese scholars for two thousand years, and it still throws considerable light on the character of the Chinese people. (shrink)

sirIn a scholarly and thought-provoking paper, Clarke sets out to debunk the concept of “rational suicide” as nonsensical.1 His motivation in this is to undermine any support that the notion of rational suicide might give to a “categorical right to suicide”. If his enterprise were successful, however, it would go far beyond the “rights issue” and would have a profound impact on all arguments raised in support of euthanasia or physician-assisted suicide.Clarke's major thrust might be termed the argument from posthumous (...) ignorance. He begins with a claim that the process of making a rational decision involves the process of “gaining all possible facts and `imagining' all possible consequences”. He goes on to say that making a rational decision “in the consideration of life or death . . . would seem to be impossible”. It is “impossible” …. (shrink)

We report a unique, collaborative effort by users and providers of genetic services to arrive at outlines for optimal ethics and clinical practice. Using focus groups of consumers and providers , a provider-consumer project team developed 1) a consumer wish list, 2) an experientially based ethical overview of situations arising in practice, and 3) detailed suggestions for consumer-provider interactions in clinical settings. Consumers were primarily interested in accurate information, respect for persons, a smoothly functioning team, with the consumer as an (...) equal member of the team, family integrity, and providers who knew the limits of their knowledge and were willing to refer. “Non-directive” counselling and privacy were not major issues in consumer focus groups; some thought providers should openly state their own opinions. Providers had a rather different list of priorities.Books and papers on clinical ethics usually originate from bioethicists and physicians. This pilot project is unique in including consumers and providers equally. (shrink)

A pure vehicle theory of the contents of consciousness is not possible. While it is true that hard-wired tacit representations are insufficient as content-vehicles, not all tacit representations are hard-wired. The definition of stability offered for patterns of neural activation is not well-motivated, and too simplistic. We disagree in particular with the assumption that stability within a network is purely intrinsic to that network. Many complex forms of stability within a network are apparent only when interpreted by something external to (...) that network. The requirement for interpretation introduces a necessary functional element into the theory of the contents of consciousness, suggesting that a pure vehicle theory of those contents will not succeed. (shrink)

This work provides an interesting, though sometimes rather sweeping, demonstration that the metaphysical problem of the same and the other is also the central problem of literature and literary criticism. The author defends the analogical imagination as the symbolic counterpart of participation in Platonic metaphysics.--D. C. B.

This article discusses the adequacy of Rawls’ theory of justice as a tool for racial justice. It is argued that critics like Charles W Mills fail to appreciate both the insights and limits of the Rawlsian framework. The article has two main parts spread out over several different sections. The first is concerned with whether the Rawlsian framework suffices to prevent racial injustice. It is argued that there are reasons to doubt whether it does. The second part is concerned with (...) whether a Rawlsian framework has the resources to rectify past racial injustice. It is argued that it has more resources to do this than Mills allows. This second part of the article centers on two Rawlsian ideas: ideal theory and the fair equality of opportunity principle. It is argued that ideal theory is essential for the kind of rectificatory work that Mills wants nonideal theory to do, and that where there is a socioeconomic legacy of past injustice, it is hard to see how FEO could be implemented if it did no rectificatory work, a result which means that there is less need to turn to nonideal theory at all. (shrink)

In over thirty lines of the Agamemnon I think I discern lurking in the apparatus of modern editions truths unnoticed by recent editors, and needing for the most part merely redivision, repunctuation, or reaccentuation to become recognizable. At a few points I offer alternative interpretations of readings that have been accepted by some at least among modern editors.

This paper argues that the concept and role of ‘institutional racism’ in contemporary discussions of race should be reconsidered. It starts by distinguishing between ‘intrinsic institutional racism’, which holds that institutions are racist in virtue of their constitutive features, and ‘extrinsic institutional racism’, which holds that institutions are racist in virtue of their negative effects. It accepts intrinsic institutional racism, but argues that a ‘disparate impact’ conception of extrinsic conception faces a number of objections, the most serious being that it (...) has no plausible account of what it is that makes extrinsically racist institutions racist. It also argues that claims about the explanatory indispensability of institutional racism are overstated (individual racism is at least as important), critiques structural approaches to racial inequality, and suggests that there is reason to doubt whether institutional reform can provide us with all that morality may require in the racial domain. (shrink)