Theoretical methods for empirical state determination of entangled two-level systems are analyzed in relation to information theory. We show that hidden variable theories would lead to a Shannon index of correlation between the entangled subsystems which is larger than that predicted by quantum mechanics. Canonical representations which have maximal correlations are treated by the use of Schmidt and Hilbert-Schmidt decomposition of the entangled states, including especially the Bohm singlet state and the GHZ entangled states. We show that quantum mechanics does (...) not violate locality, but does violate realism. (shrink)

Reverse mathematics is a program in the foundations of mathematics founded by Friedman and developed extensively by Simpson and others. The aim of RM is to find the minimal axioms needed to prove a theorem of ordinary, that is, non-set-theoretic, mathematics. As suggested by the title, this paper deals with two RM-phenomena, namely, splittings and disjunctions. As to splittings, there are some examples in RM of theorems A, B, C such that A↔, that is, A can be split into two (...) independent parts B and C. As to disjunctions, there are examples in RM of theorems D, E, F such that D↔, that is, D can be written as the disjunction of two independent parts E and F. By contrast, we show in this paper that there is a plethora of splittings and disjunctions in Kohlenbach’s higher-order RM. (shrink)

Reverse mathematics is a program in the foundations of mathematics founded by Friedman and developed extensively by Simpson and others. The aim of RM is to find the minimal axioms needed to prove a theorem of ordinary, that is, non-set-theoretic, mathematics. As suggested by the title, this paper deals with the study of the topological notions of dimension and paracompactness, inside Kohlenbach’s higher-order RM. As to splittings, there are some examples in RM of theorems A, B, C such that A (...) ↔, that is, A can be split into two independent parts B and C, and the aforementioned topological notions give rise to a number of splittings involving highly natural A, B, C. Nonetheless, the higher-order picture is markedly different from the second-one: in terms of comprehension axioms, the proof in higher-order RM of, for example, the paracompactness of the unit interval requires full second-order arithmetic, while the second-order/countable version of paracompactness of the unit interval is provable in the base theory RCA 0. We obtain similarly “exceptional” results for the Urysohn identity, the Lindelöf lemma, and partitions of unity. We show that our results exhibit a certain robustness, in that they do not depend on the exact definition of cover, even in the absence of the axiom of choice. (shrink)

More than a decade after Philip P. Wiener and Frederick H. Young edited the first volume of Studies in the Philosophy of Charles Sanders Peirce, Moore and Robin have brought together a collection of essays which serves as a valuable supplement to that earlier publication. It is more than a supplement, however; it can stand on its own as a significant contribution to Peirce scholarship. Continuity with the first volume is achieved through new essays which analyze Peirce's theory of (...) belief, of habit, and of Scotistic realism—themes about which many of the earlier papers revolved. Novelty is achieved through increased emphasis on Peirce's logical and mathematical writings and on the influence of nineteenth century evolutionism upon Peirce's pragmaticism. The exploration of the latter motif in the three contributions of W. Donald Oliver, Rulon Wells, and Thomas A. Goudge is particularly noteworthy. In their Preface, Moore and Robin state that the most significant contribution of this new volume is the revelation of the extent to which Peirce was first a scientist and then a philosopher. This is a misleading characterization of the book. True, Victor F. Lenzen's "Charles S. Peirce As Astronomer" is an engaging piece. On the other hand, the bulk of the articles impress the reader with the originality and modernity of Peirce, the philosopher and Peirce, the logician. The most notable feature of this collection is the number of essays which draw parallels between dominant philosophical and logical themes found in Peirce's writings and major interests of mid-twentieth century philosophers. Impressive examples are: A. R. Turquette's "Peirce's Icons For Deductive Logic," Richard M. Martin's "On Acting On A Belief," Larry Holmes's "Prolegomena To Peirce's Philosophy Of Mind," and Richard J. Bernstein's "Peirce's Theory of Perception." In presenting the articles which constitute this volume the editors give evidence not only of the relevance of Peirce for the contemporary student of philosophy but also of the impetus which Peirce's thought has provided for creative philosophical analysis. An additional bonus for Peirce scholars are two bibliographies prepared by Max H. Fisch. One is a supplement to Arthur W. Burk's 1958 bibliography of works by C. S. Peirce. The other is a draft of a bibliography of works about C. S. Peirce.—B. G. R. (shrink)

Research suggests that metacognitive monitoring ability does not decline with age. For example, judgments-of-learning accuracy is roughly equivalent between younger and older adults. But few studies have asked whether younger and older adults’ metacognitive ability varies across different types of memory processes. The current study tested the relationship between memory and post-decision confidence ratings at the trial level on item and associative memory recognition tests. As predicted, younger and older adults had similarmetacognitive efficiency, when using meta-d’/d’, a measure derived from (...) Signal Detection Theory, despite a significant age effect favoring younger adults on memory performance. This result is consistent with previous work showing age-equivalent metacognitive efficiency in the memory domain. We also found that metacognitive efficiency was higher for associative memory than for item memory across age groups, even though associative and item recognition memory were statistically equivalent. Higher accuracy on post-test decision confidence ratings for associative recognition relative to item recognition on resolution accuracy itself and when corrected for performance differences are novel findings. Implications for associative metacognition are discussed. (shrink)

Originally published in 1967 as the fifth edition of a 1935 original, this book addresses the teaching of various kinds of geography to secondary school students. The text includes suggestions for classwork and possible field courses, in order that geography may have 'its maximum educational effect'. This book will be of value to anyone interested in the history of geography education in Britain.

None of Peirce's most recent interpreters fall clearly into only one of these classes. All are expositors, critics, and innovators. Yet their emphases differ, and the classification serves to highlight them. W. B. Gallie, for instance, is mainly interested in introducing the general reader to the broadest line of Peirce's thought on pragmatism. He does this appreciatively, with skillful fluency. Yet he also advances a critical thesis about the meanings Peirce gave to "pragmatism," and he tests the compatibility of Peirce's (...) metaphysical and logical writings with suggestive results. Manley Thompson's book has, on the other hand, a more formal cast throughout. It is "offered as an essential propaedeutic to the determination of Peirce's place in the history of ideas". With closest care it traces the development of Peirce's pragmatic philosophy, setting out an ordered, definitive statement of what Peirce said, driving finally to a brief evaluation of the whole philosophy in which the pragmatic maxim is a principle. Lastly, the Studies in the Philosophy of Charles Sanders Peirce contains essays of all three emphases: there are biographical, historical, and elucidating essays; there are critical ones that quibble to distraction and critical ones that excite to construction; and finally, there are a few that go through Peirce to continue inquiry on topics in ethics, logic, and metaphysics. (shrink)

Individuals are faced with the many opportunities to pirate. The decision to pirate or not may be related to an individual''s attitudes toward other ethical issues. A person''s ethical and moral predispositions and the judgments that they use to make decisions may be consistent across various ethical dilemmas and may indicate their likelihood to pirate software. This paper investigates the relationship between religion and a theoretical ethical decision making process that an individual uses when evaluating ethical or unethical situations. An (...) ethical decision making model was studied for general unethical scenarios and for the unethical behavior of software piracy. The research model was tested via path analysis using structural equation modeling and was found to be appropriate for the sample data. The results suggest that there is a relationship between religion and the stages of an ethical decision making process regarding general ethical situations and software piracy. (shrink)

The social, educational and political writings of Jean-Jacques Rousseau have become enormously influential in the 200 years since his death. But the breadth as well as the depth of Rousseau's achievement - he was amongst other things a creative writer and musical composer as well as a philosopher - is not always appreciated. In around 100 articles, alphabetically arranged and fully cross-referenced, N. J. H. Dent explores all facets of Rousseau's work and thoughts, while his subject's remarkable life is summarized (...) in a biographical introduction. Details of works by and about Rousseau are listed in an extensive bibliography. For students or general readers seeking an introduction to Rousseau's work, and for those already familiar with the material who require a convenient reference source, this dictionary is essential reading. (shrink)

Part I Introduction -/- Passion at a Distance (Don Howard) -/- Part II Philosophy, Methodology and History -/- Balancing Necessity and Fallibilism: Charles Sanders Peirce on the Status of Mathematics and its Intersection with the Inquiry into Nature (Ronald Anderson) -/- Newton’s Methodology (William Harper) -/- Whitehead’s Philosophy and Quantum Mechanics (QM): A Tribute to Abner Shimony (Shimon Malin) -/- Bohr and the Photon (John Stachel) -/- Part III Bell’s Theorem and Nonlocality A. Theory -/- Extending the Concept of (...) an “Element of Reality” to Work with Inefficient Detectors (Daniel M. Greenberger) -/- A General Proof of Nonlocality without Inequalities for Bipartite States (GianCarlo Ghirardi and Luca Marinatto) -/- On the Separability of Physical Systems (Jon P. Jarrett) -/- Bell Inequalities: Many Questions, a Few Answers (Nicolas Gisin) -/- B. Experiment -/- Do Experimental Violations of Bell Inequalities Require a Nonlocal Interpretation of Quantum Mechanics? II: Analysis a la Bell (Edward S. Fry, Xinmei Qu, and Marlan O. Scully) -/- The Physics of 2 = 1 + 1 (Yanhua Shih) -/- Part IV Probability, Uncertainty, and Stochastic Modifications of Quantum Mechanics -/- Interpretations of Probability in Quantum Mechanics: A Case of “Experimental Metaphysics” (Geoffrey Hellman) -/- “No Information Without Disturbance”: Quantum Limitations of Measurement (Paul Busch) -/- How Stands Collapse II (Philip Pearle) -/- Is There a Relation Between the Breakdown of the Superposition Principle and an Indeterminacy in the Structure of the Einsteinian Space-Time? (Andor Frenkel) -/- Indistinguishability or Stochastic Dependence? (D. Costantini and U. Garibaldi) -/- Part V Relativity -/- Plane Geometry in Spacetime (N. David Mermin) -/- The Transient nows (Steven F. Savitt) -/- Quantum in Gravity? (Michael Horne) -/- A Proposed Test of the Local Causality of Spacetime (Adrian Kent) -/- Quantum Gravity Computers: On the Theory of Computation with Indefinite Causal Structure (Lucien Hardy) -/- “Definability,” “Conventionality,” and Simultaneity in Einstein–Minkowski Space-Time (Howard Stein) -/- Part VI Concluding Words -/- Bistro Banter: A Dialogue with Abner Shimony and Lee Smolin -/- Unfinished Work: A Bequest (Abner Shimony) -/- Bibliography of Abner Shimony. (shrink)

The systems approach to niche presented herein stands as an example of the unifying potential of mathematical system theory when applied to concepts and principles of ecology. Beginning with subjective concepts from the naturalistic tradition, the niche was framed in the formalism of general system theory. So modeled, it appeared as a restriction of a more general construct, the environ. Both niches and environs are implementable in the context of ecosystem models, and with the growing ability of ecologists to construct (...) such models, system theoretic niches and environs both should serve in the future to clarify old problems of ecology, and make it possible to raise new classes of problems. The nature of niches, always difficult conceptually for the ecologist, may now give way to further development, both theoretical and empirical. (shrink)

According to both deontologists and consequentialists, if there is a reason to promote the general happiness – or to promote any other state of affairs unrelated to one's own projects or self-interest – then the reason must apply to everyone. This view seems almost self-evident; to challenge it is to challenge the way we think of moral reasons. I contend, however, that the view depends on the unwarranted assumption that the only way to restrict the application scope of a reason (...) for action is by restricting it to those agents whose interests or projects are involved in the reason. In fact normative theories may coherently restrict application scopes in other ways. Thus we must take seriously the possibility that the reason to promote the general happiness, although genuine, does not apply to everyone. (shrink)

The United Nations Convention on the Rights of the Child risks harm to adolescents insofar as it encourages not only poor decision making by adolescents but also parenting styles that will have an adverse impact on the development of mature decision-making capacities in them. The empirical psychological and neurophysiological data weigh against augmenting and expression of the rights of children. Indeed, the data suggest grounds for expanding parental authority, not limiting its scope. At the very least, any adequate appreciation of (...) the moral claims regarding the authority of parents with respect to the decision-making capacity of adolescents needs to be set within an understanding of the psychological and neurophysiological facts regarding the development of adolescent decision-making capacity. (shrink)

W. D. Ross’s ethical theory requires us somehow to compare the metaphorical “weights” of different prima facie duties, but it leaves mysterious how this might be done. The formulation of a procedure to achieve such a comparison would be desirable on practical, theoretical, and pedagogical grounds. I formulate a procedure that is congenial to Ross’s theory. Central to my procedure are instructions to characterize the weight of each prima facie duty with respect to (a) the general stringency of this kind (...) of duty, (b) the stringency of this particular duty relative to other duties of its own kind, and (c) the degree to which the duty specifically demands the particular action that it favors in a given case. The procedure leads to a determination of one’s actual, all-things-considered duty in some cases but not in all. (shrink)

Bradford C Bemiss, Chad A WittDepartment of Internal Medicine, Division of Pulmonary and Critical Care Medicine, Washington University School of Medicine, St Louis, MO, USA: Chronic rejection is a major cause of death after the first year following lung transplantation. Bronchiolitis obliterans is the most common pathologic finding on biopsy, characterized by fibrous granulation tissue, which obliterates the lumen of the bronchiole. Clinically, in the absence of tissue for pathology, BO syndrome refers to a progressive irreversible drop in the forced (...) expiratory volume in 1 second. Recently, a broader definition of chronic rejection, termed "chronic lung allograft dysfunction", has been used to encompass a more inclusive definition of posttransplant dysfunction. Recently, the lung transplant community has come to realize that chronic rejection may be the final common result after repetitive epithelial insults. Acute rejection, infection, and alloreactivity to mismatched HLA antigens are a few of these insults that damage the surface of the bronchioles. Recent evidence of autoimmunity to the normally hidden structural proteins collagen V and K-α1 tubulin have been correlated with a BO phenotype as well, perhaps correlating the epithelial damage with a mechanism for developing BO lesions. Many immunomodulatory medications and treatments have been studied for effectiveness for the treatment of chronic lung allograft dysfunction. New drugs, which more precisely target the immune system, are being developed and tested. Further study is required, but recent advances have improved our understanding of the pathogenesis and potential intervention for this common and deadly complication of lung transplantation.Keywords: lung transplant, bronchiolitis obliterans syndrome, rejection. (shrink)

It is often taken for granted that there is a crucial dichotomy between positive science, with its interest in what is the case, and morality, with its supposed interest in what ought to be the case. This assumption takes its departure from a belief in the notion of unconditional or categorical obligation or ?the moral? as ?that whose nature it is to be required or demanded?. The notion of unconditional or categorical obligation, together with the assumption that there is a (...) dichotomy between considerations of what is the case and what ought to be the case, however widespread and entrenched this notion and assumption might be, are logically confused. But to demonstrate this logical confusion is not the only task confronting ethical theory. Another, and often neglected task, is to draw attention to the ethical origins of this confusion in a particular way of life. Hegel's distinction between Moralität (Moral Life) and Sittlichkeit (Ethical Life) is of critical importance here. The obstacle to the development of ethical theory, then, is not some abstract ?logical confusion?, but is, rather, the way of life (Moral Life) of which this confusion is a natural expression. (shrink)