In this paper we prove that the preordering $\lesssim $ of provable implication over any recursively enumerable theory $T$ containing a modicum of arithmetic is uniformly dense. This means that we can find a recursive extensional density function $F$ for $\lesssim $. A recursive function $F$ is a density function if it computes, for $A$ and $B$ with $A\lnsim B$, an element $C$ such that $A\lnsim C\lnsim B$. The function is extensional if it preserves $T$-provable equivalence. Secondly, we prove a (...) general result that implies that, for extensions of elementary arithmetic, the ordering $\lesssim $ restricted to $\Sigma_{n}$-sentences is uniformly dense. In the last section we provide historical notes and background material. (shrink)

This is a valuable book, jam-packed with learning and insight, cosmopolitan in scope, timely yet classically anchored. An achievement of intellectual beauty. This is how I like to see philosophy conducted. Robert Ginsberg Director, The International Center for the Arts, Humanities, and Value Inquiry. This book contains fifteen essays all seeking to regain the original meaning of philosophy as the love of wisdom. Mythos and Logos are two essential aspects of a quest that began with the ancient Greeks. As concepts (...) fundamental to human experience, Mythos and Logos continue to guide the search for truth in the twenty-first century. (shrink)

The royal house of Pontus claimed to be descended from the cream of the old Persian nobility, the Seven Families, and to have received its lands as the gift of Darius I. The claim is first attested by Polybius, and it became common currency in the reign of Mithridates Eupator. Since Théodore Reinach wrote his magisterial history of the Pontic kingdom, the royal pretensions of the regime have been dismissed as apocryphal.

This topically organized, interdisciplinary anthology provides competing perspective on the claim that western culture faces a moral crisis. Using clearly written, accessible essays by well-known authors in philosophy, the social sciences, and the humanities, the book introduces students to a variety of perspectives on the current cultural debate about values that percolates beneath the surface of most of our social and political controversies.

PURPOSE: The offer to return research results to participants is increasingly recognized as an ethical obligation, although few researchers routinely return results. We examined the needs and attitudes of parents of children with cancer and of adolescents with cancer to the return of research results. METHODS: Seven experts in research ethics scored content validity on parent and adolescent questionnaires previously developed through focus group and phone interviews. The questionnaires were revised and provided to 30 parents and 10 adolescents in a (...) tertiary care oncology setting. RESULTS: The content validity index for individual questions and the overall questionnaires scored as 0.86 for both questionnaires. All 30 parents and 10 adolescents who agreed to participate returned questionnaires. The majority (>95%) indicated that they had a strong or very strong right to receive results. Letter or e-mail was a satisfactory means to return results described as good or neutral (66% parents, 100% adolescents) but more participants wished face-to-face disclosure of results with negative implications (50% parents, 60% adolescents). Very few wanted results disseminated through a Web site. The majority acknowledged the need for peer-review before disclosure (60% of adolescents and parents) but did not want "to be the last to know." CONCLUSIONS: Our data suggest that pediatric oncology patients and parents of children with cancer strongly feel that they have a right to research results, and that they wish to receive these in a timely manner. (shrink)

Translated by Anthony Bower With an Introduction by Oliver Todd 'A conscience with style' V.S. Pritchett The Rebel (1951) is Camus's 'attempt to understand the time I live in' and a brilliant essay on the nature of human revolt. Here he makes a daring critique of communism - how it had gone wrong behind the Iron Curtain and the resulting totalitarian regimes. And he questions two events held sacred by the left wing - the French Revolution of 1789 and the (...) Russian Revolution of 1917 - that had resulted, he believed, in the use of terrorism as a political instrument. In this towering intellectual document, Camus argues that hope for the future lies in revolt with revolution - a chance to achieve change without losing our freedom. 'The last French intellectual to take the side of humanity and talk its language... a figure of immense moral stature' Sunday Times Winner of the Nobel Prize for Literature. (shrink)

The central result of this paper is the small‐is‐very‐small principle for restricted sequential theories. The principle says roughly that whenever the given theory shows that a definable property has a small witness, i.e., a witness in a sufficiently small definable cut, then it shows that the property has a very small witness: i.e., a witness below a given standard number. Which cuts are sufficiently small will depend on the complexity of the formula defining the property. We draw various consequences from (...) the central result. E.g., roughly speaking, (i) every restricted, recursively enumerable sequential theory has a finitely axiomatized extension that is conservative with respect to formulas of complexity ; (ii) every sequential model has, for any n, an extension that is elementary for formulas of complexity, in which the intersection of all definable cuts is the natural numbers; (iii) we have reflection for ‐sentences with sufficiently small witness in any consistent restricted theory U; (iv) suppose U is recursively enumerable and sequential. Suppose further that every recursively enumerable and sequential V that locally inteprets U, globally interprets U. Then, U is mutually globally interpretable with a finitely axiomatized sequential theory. The paper contains some careful groundwork developing partial satisfaction predicates in sequential theories for the complexity measure depth of quantifier alternations. (shrink)

In this paper we formulate a version of Second Incompleteness Theorem. The idea is that a sequential sentence has ‘consistency power’ over a theory if it enables us to construct a bounded interpretation of that theory. An interpretation of V in U is bounded if, for some n , all translations of V -sentences are U -provably equivalent to sentences of complexity less than n . We call a sequential sentence with consistency power over T a pro-consistency statement for T (...) . We study pro-consistency statements. We provide an example of a pro-consistency statement for a sequential sentence A that is weaker than an ordinary consistency statement for A . We show that, if A is $${{\sf S}^{1}_{2}}$$ , this sentence has some further appealing properties, specifically that it is an Orey sentence for EA . The basic ideas of the paper essentially involve sequential theories. We have a brief look at the wider environment of the results, to wit the case of theories with pairing. (shrink)

According to some proponents of an empirical medical ethics, medical ethics should take the experience, insights, and arguments of doctors and other medical practitioners as their point of departure. Medical practitioners are supposed to have ‘moral wisdom.’ In this view, the moral beliefs of medical practitioners have a special status. In sections I-IV, I discuss two possible defences of such a status. The first defence is based on the special status of the moral beliefs of the health professional as an (...) expert in medical ethics, and the second defence on the special status of the health professional’s moral beliefs as a practitioner. The first defence is built up around the opposition between experts and laypersons, while the second defence rests on the opposition between practitioners and theorists. In sections V and VI, I examine the interrelations between empirical ethics and anti-theory in ethics. Some regard empirical ethics as a laudable alternative to theory-driven normative ethics. I explore their objections against ethical theory and ethical theorising, and conclude that they are not valid. In the last section, VII, I discuss the role of ethicists in medical practice. (shrink)