We investigate the algebraic structure of the upper semi-lattice formed by the recursively enumerable Turing degrees. The following strong generalization of Lachlan's Nonsplitting Theorem is proved: Given n ≥ 1, there exists an r.e. degree d such that the interval $\lbrack\mathbf{d, 0'}\rbrack \subset\mathbf{R}$ admits an embedding of the n-atom Boolean algebra B n preserving (least and) greatest element, but also such that there is no (n + 1)-tuple of pairwise incomparable r.e. degrees above d which pairwise join to 0' (and (...) hence, the interval $\lbrack\mathbf{d, 0'}\rbrack \subset\mathbf{R}$ does not admit a greatest-element-preserving embedding of any lattice L which has n + 1 co-atoms, including B n + 1 ). This theorem is the dual of a theorem of Ambos-Spies and Soare, and yields an alternative proof of their result that the theory of R has infinitely many one-types. (shrink)

In Intellectual Life in the Ḥijāz before Wahhabism, Naser Dumairieh argues that, as a result of changing global conditions facilitating the movement of scholars and texts, the seventeenth-century Ḥijāz was one of the most important intellectual centers of the Islamic world, acting as a hub between its different parts. Positioning Ibrāhīm al-Kūrānī as representative of the intellectual activities of the pre-Wahhabism Ḥijāz, Dumairieh argues that his coherent philosophical system represents a synthesis of several major post-classical traditions of Islamic thought, namely (...) kalām and Akbarian appropriations of Avicennian metaphysics. Al-Kūrānī's work is the culmination of the philosophized Akbarian tradition; with his reconciliation of Ibn ʻArabī's ideas with Ashʻarī theology, Ibn ʻArabī's ideas became Islamic theology. (shrink)

Einstein, in his “Zur Elektrodynamik bewegter Körper”, gave a physical (operational) meaning to “time” of a remote event in describing “motion” by introducing the concept of “synchronous stationary clocks located at different places”. But with regard to “place” in describing motion, he assumed without analysis the concept of a system of co-ordinates.In the present paper, we propose a way of giving physical (operational) meaning to the concepts of “place” and “co-ordinate system”, and show how the observer can define both the (...) place and time of a remote event. Following Einstein, we consider another system “in uniform motion of translation relatively to the former”. Without assuming “the properties of homogeneity which we attribute to space and time”, we show that the definitions of space and time in the two systems are linearly related. We deduce some novel consequences of our approach regarding faster-than-light observers and particles, “one-way” and “two-way” velocities of light, symmetry, the “group property” of inertial reference frames, length contraction and time dilatation, and the “twin paradox”. Finally, we point out a flaw in Einstein’s argument in the “Electrodynamical Part” of his paper and show that the Lorentz force formula and Einstein’s formula for transformation of field quantities are mutually consistent. We show that for faster-than-light bodies, a simple modification of Planck’s formula for mass suffices. (Except for the reference to Planck’s formula, we restrict ourselves to Physics of 1905.). (shrink)

Geoffrey Rose’s prevention paradox points to a tension between two prima facie plausible moral principles: that we should save the greater number and that weshould save the most at risk. This paper argues that a novel moral theory, ex-ante contractualism, captures our intuitions in many prevention paradox cases, regardless of our interpretation of probability claims. However, it goes on to show that it might be impossible to square ex-ante contractualism with all of our moral intuitions. It concludes that even if (...) ex-ante contractualism cannot furnish an entire ethics of risk, it does identify important considerations for any such theory. (shrink)

Geoffrey Rose’s prevention paradox points to a tension between two prima facie plausible moral principles: that we should save the greater number and that weshould save the most at risk. This paper argues that a novel moral theory, ex-ante contractualism, captures our intuitions in many prevention paradox cases, regardless of our interpretation of probability claims. However, it goes on to show that it might be impossible to square ex-ante contractualism with all of our moral intuitions. It concludes that even if (...) ex-ante contractualism cannot furnish an entire ethics of risk, it does identify important considerations for any such theory. (shrink)

Published within weeks of Charles Darwin's Origin of Species, Isabelle Duncan's Pre-Adamite Man (1860) is the first full-length treatment of preadamism by an evangelical. Intended as a reconciliation of Genesis and geology, Duncan's work gained immediacy when it was published shortly after the September 1859 revelations that men had walked among the mammoths. Written in the tradition of evangelical 'Christian philosophy', Pre-Adamite Man deploys innovative biblical hermeneutics and recent trends in geology to set out both a biblical preadamite theory, and (...) an unorthodox angelology. Duncan responded to contemporary secular interpretations of geology by pushing evangelical concordist strategies to new frontiers, filling out an acceptance of an ancient earth with new biblically informed catastrophist proposals and extensions of salvation history, while simultaneously retaining a firm commitment to plenary inspiration. The product is a highly readable book that operates both as an accessible treatment of geology and a theological discourse. Running through six printings between 1860 and 1866, the book was reviewed by many of the period's leading journals and created a minor controversy among evangelicals. This study both brings to life this previously neglected episode in scriptural geology, and adds to recent work on Victorian popular science writing. (shrink)

"Lettre à l'Autre. Comment empêcher que la présence, en s'instaurant, s'installe? Qu'elle s'enlise de ce qu'elle se réalise et s'abîme dans la durée? Les Amants en sont menacés..."--Page 4 of cover.

Essays by Catholic doctors and scholars attempting to define the proper spheres of psychiatry and religion and their "interpenetration." The aim is to remove misconceptions concerning psychiatry and to demonstrate its value "in the domain of secondary causes" as an aid to man's realizing his "religious and spiritual ideas." --D. S.

P¯an.ini’s grammar includes several types of metarules which determine how its operational rules apply. Among them are “traffic rules” which constrain how rules interact with each other in grammatical derivations. These are typically formulated as designating a rule or class of rules asiddha “not effected” (or asiddhavat “as if not effected”) with respect to another rule or class of rules. For economy, the rules so designated are grouped into several sections, whose headings collectively declare them to be asiddha(vat). The biggest (...) such section, under the famous heading 8.2.1 p ¯urvatr¯asiddham, extends from 8.2.1 through the end of the grammar (8.4.68), and is hence called the Trip¯ad¯ı ‘Three Sections’. (shrink)

The purpose of this study is to examine the relationship between the corporate social performance of an organization and three variables: the size of the organization, the financial performance of the organization, and the environmental performance of the organization. By empirically testing data from 1987 to 1992, the results of the study show that a firm's corporate social performance is indeed impacted by the size of the firm, the level of profitability of the firm, and the amount of pollution emissions (...) released by the firm. (shrink)