The geometry of the state space of a finite-dimensional quantum mechanical system, with particular reference to four dimensions, is studied. Many novel features, not evident in the two-dimensional space of a single spin, are found. Although the state space is a convex set, it is not a ball, and its boundary contains mixed states in addition to the pure states, which form a low-dimensional submanifold. The appropriate language to describe the role of the observer is that of flag manifolds.

The complexity of biobank research raises concerns about individuals’ understanding of the information conveyed in the consent process for such research.. We report the results of a qualitative, cognitive interview study with an ethnically, linguistically, and educationally diverse sample of 43 respondents to assess the clarity and utility of a multimedia tool developed for a biobank. Using weighted randomization, respondents were assigned to either view the multimedia tool or read a written consent document . The study illustrates the utility of (...) cognitive interviews for gaining insights from prospective research participants about the clarity of informed consent tools. Findings suggest that a multimedia tool is useful for communicating key messages but should be combined with a written consent document and personal interaction with the study staff. We recommend that the potential value of multimedia tools should be more rigorously tested in a randomized controlled trial. (shrink)

MEDIEVAL LOGICS LAMBERT MARIE DE RIJK (ed.), Die mittelalterlichen Traktate De mod0 opponendiet respondendi, Einleitung und Ausgabe der einschlagigen Texte. (Beitrage zur Geschichte der Philosophie und Theologie des Mittelalters, Neue Folge Band 17.) Miinster: Aschendorff, 1980. 379 pp. No price stated. THE SEVENTEENTH CENTURY MARTA FATTORI, Lessico del Novum Organum di Francesco Bacone. Rome: Edizioni dell'Ateneo 1980. Two volumes, il + 543, 520 pp. Lire 65.000. VIVIAN SALMON, The study of language in 17th century England. (Amsterdam Studies in the Theory (...) and History of Linguistic Science, Series 111: Studies in theHistory of Linguistics, Volume 17.) Amsterdam: John Benjamins B.V., 1979.x + 218 pp. Dfl. 65. Theoria cum Praxi. Zum Verhaltnis von Theorie und Praxis im 17. und 18. Jahrhundert. (Akten des 111. Internationalen Leibnizkongress, Hannover, 12. bis 17.November 1977, Band 111: Logik, Erkenntnistheorie, Wissenschaftstheorie, Metaphysik, Theologie.) Wiesbaden: Franz Steiner Verlag, 1980. vii + 269 pp. DM 48. CLASSICAL AND NON-CLASSICAL LOGICS MICHAEL CLARK, The place of syllogistic in logical theory. Nottingham: University of Nottingham Press, 1980. ix + 151 pp. £3.00. A.F. PARKER-RHODES, The theory of indistinguishables. Dordrecht, Boston and London: D. Reidel Publishing Company, 1981. xvii + 216 pp. Dfl.90.00/$39.50. NICHOLAS RESCHER and ROBERT BRANDOM, The logic of inconsistency. Oxford:Basil Blackwell, 1980. x + 174 pp. f 11.50. MISCELLANEOUS J. ZELENY, The logic of Marx. Translated from the German by T. Carver. Oxford: Basil Blackwell, 1980. xcii + 247 pp. £12.50. FELIX KAUFMANN, The infinite in mathematics. Edited by Brian McGuinness. Introduction by E. Nagel. Translation from the German by Paul Foulkes. Dordrecht: Reidel, 1978. xvii + 235 pp. Dfl 85/$39.50 (cloth); Dfl 45/$19.95 (paper). PAMELA MCCORDUCK, Machines who think. San Francisco: W.H. Freeman and Company, 1979. xiv + 275 pp. $14.95. J. MITTELSTRASS (ed.), Enzyklopadie Philosophie und Wissenschaftstheorie Bd. 1 : A-G. Mannheim, Wien, Ziirich: Bibliographisches Institut, 1980. 835 pp. DM 128. (shrink)

'Uncertainty and chance' is a subject with a broad span, in that there is no academic discipline or walk of life that is not beset by uncertainty and chance. In this book a range of approaches is represented by authors from varied disciplines: natural sciences, mathematics, social sciences and medical sciences. At one extreme, this volume is concerned with the foundations of probability. At the other extreme, we have scholars who acknowledge the concept of chance and uncertainty but do not (...) cope with it by means of systematic measurement or quantative analysis. (shrink)

C. A. J. Coady; VIII*—Descartes' Other Myth, Proceedings of the Aristotelian Society, Volume 83, Issue 1, 1 June 1983, Pages 121–142, https://doi.org/10.1093/ar.

The Dirac field and its quanta are obtained from the imposition of an infinite member of Dirac 2 nd class constraints on a system of complex scalar fields having an indefinite internal metric. The spin-1/2 character of the constrained system follows from constraint-induced coupling of the scalar system's independent internal and space-time symmetries, from constraint restrictions on allowed symmetries. The resulting spinor field quanta are seen to exist as a class of “elementary excitations” belonging to a dynamical algebra existing naturally (...) within the system of complex scalar fields. (shrink)

The ‘beautiful axiom’ to which Dickens refers is a central feature of Thomas Hobbes' thinking but its precise role in his moral philosophy remains unclear. I shall here attempt both to dispel the unclarity and to evaluate the adequacy of the position that emerges. Given the high level of contemporary interest in Hobbes' thought, both within and beyond philosophical circles, this is an enterprise of considerable importance. None the less, my interest is not merely interpretative, since the assessment of Hobbes' (...) attitude to ‘the beautiful axiom’ raises important and difficult questions about what might be termed the preconditions of morality. (shrink)

Many recent discussions of the identity and individuation of actions focus on attempts to find satisfactory answers to questions like, “When, if ever, is a shooting a killing?” Those who attempt to answer such questions divide themselves, on the whole, into two opposing groups. I. Thalberg has conveniently labelled the members of one group ‘unifiers’, and the members of the other group ‘multipliers’.The unifier account is commonly attributed to philosophers such as G. E. M. Anscombe and Donald Davidson. Proponents of (...) this account characteristically believe that many non-basic actions such as shootings, killings, etc., are identical with those basic actions by means of which the non-basic ones are performed. This position is indicated in the following remarks:… in moving her hand, the queen was doing something that caused the death of the king. These are two descriptions of the same event — the queen moved her hand in that way; she did something that caused the death of the king. Doing something that causes a death is identical with causing a death. But there is no distinction to be made between causing the death of a person and killing him. (shrink)

In der folgenden Übersicht wird versucht, die wissenschaftstheoretischen Tätigkeiten in den Niederlanden, insbesondere auf den Gebieten der Logik und Grundlagenforschung, Philosophie der Naturwissenschaften, Philosophie der Geschichtswissenschaft und der Sozialwissenschaften zu skizzieren. In einer Schlußbetrachtung werden die allgemeinen methodologischen Fragestellungen und die daraus sich ergebenden neuen Möglichkeiten einer Wissenschaftstheorie erörtert.