It is shown that the Hilbert space formalism of quantum mechanics can be derived as a corrected form of probability theory. These constructions yield the Schrödinger equation for a particle in an electromagnetic field and exhibit a relationship of this equation to Markov processes. The operator formalism for expectation values is shown to be related to anL 2 representation of marginal distributions and a relationship of the commutation rules for canonically conjugate observables to a topological relationship of two manifolds is (...) indicated. (shrink)

A response to hector-neri castaneda's "a problem for utilitarianism" ("analysis" 28 (1968), pp. 141-142). by applying castaneda's line of argument to a theory sometimes suggested as an elaboration of ross's theory of prima facie duties, i show that if castaneda's is indeed a problem for utilitarianism, it is a problem for some deontological theories as well.

Laws of mechanics, quantum mechanics, electromagnetism, gravitation and relativity are derived as “related mathematical identities” based solely on the existence of a joint probability distribution for the position and velocity of a particle moving on a Riemannian manifold. This probability formalism is necessary because continuous variables are not precisely observable. These demonstrations explain why these laws must have the forms previously discovered through experiment and empirical deduction. Indeed, the very existence of electric, magnetic and gravitational fields is predicted by these (...) purely mathematical constructions. Furthermore these constructions incorporate gravitation into special relativity theory and provide corrected definitions for coordinate time and proper time. These constructions then provide new insight into the relationship between manifold geometry and gravitation and present an alternative to Einstein’s general relativity theory. (shrink)

A relativistic one-particle, quantum theory for spin-zero particles is constructed uponL 2(x, ct), resulting in a positive definite spacetime probability density. A generalized Schrödinger equation having a Hermitian HamiltonianH onL 2(x, ct) for an arbitrary four-vector potential is derived. In this formalism the rest mass is an observable and a scalar particle is described by a wave packet that is a superposition of mass states. The requirements of macroscopic causality are shown to be satisfied by the most probable trajectory of (...) a free tardyon and a nontrivial framework for charged and neutral particles is provided. The Klein paradox is resolved and a link to the free particle field operators of quantum field theory is established. A charged particle interacting with a static magnetic field is discussed as an example of the formalism. (shrink)

A new approach to developing formulisms of physics based solely on laws of mathematics is presented. From simple, classical statistical definitions for the observed space-time position and proper velocity of a particle having a discrete spectrum of internal states we derive u generalized Schrödinger equation on the space-time manifold. This governs the evolution of an N component wave function with each component square integrable over this manifold and is structured like that for a charged particle in an electromagnetic field but (...) also includes SU(N) gauge field couplings. This construction reveals a new hasis for gauge invariance and new insight into the appearance of spin and other such properties in relativistic quantum mechanics and suggests a new charged particle model. (shrink)

This paper clarifies the notion of "contact with reality" by investigating one way in which lack of such contact can be expressed: the interrogative attitude. The case of a socially withdrawn, seventeen-year-old schoolboy is examined. Paul C. had long been overly logical and precise in his style of thinking. An acute disturbance began with mental fatigue along with apparent obsessive symptoms (e.g., extreme monitoring of his own actions) to the point that simple, everyday actions became very time-consuming; he also developed (...) a tendency to ask endless questions even about trivial phenomena. However, unlike those of the true obsessive, Paul's monitoring, doubting, and querying seemed to lack any emotional or personal element; he was not anxious but, rather, apathetic. Also, Paul lacked real curiosity: To him, everything had the same level of importance, and his attention was not directed by any precise or personal goal. This paper argues that Paul's interrogative attitude was actually a form of autistic-schizophrenic thinking characterized by "pragmatic weakening" and a loss of vital contact with reality, which are consequences of a weakening of the "élan vital" with its "vital propulsion toward the future." Such patients retain their intellectual powers but do not use these powers in accord with the requirements of reality. The interrogative attitude can be seen as a compensation mechanism—a way to maintain some minimal contact with the world. The paper ends with psychotherapeutic recommendations. (Abstract written by special issue editor: L.A.S.). (shrink)

INTRODUCTION Linguists who work within the tradition of transformational generative grammar tend to regard semantics as an intractable, perhaps ultimately ...

This volume inaugurates the publication of the series of biblical Dead Sea Scrolls written in the Jewish script that were discovered in Cave 4 at Qumran. It contains twenty-six manuscripts of the books of Genesis, Exodus, Leviticus, and Numbers. These Hebrew texts antedate by a millenium what had previously been considered the earliest surviving biblical manuscripts in the original language. They document a pluriformity acceptable in the ancient biblical textual tradition that formed the basis for the Samaritan Pentateuch and helps (...) to illumine the historical and theological relationship between the Jews and the Samaritans. Superior textual variants from these manuscripts have been adopted in recent revised translations of the Bible. (shrink)

An examination of Rahner’s theology and cognitive linguistics shows that the two are basically in accord concerning sacramental efficacy. This article also puts cognitive linguistics into conversation with Rahner’s theologies of expression. In Rahner’s theology of the symbol, he argues that all beings express themselves in that which is not themselves. Furthermore, Rahner noted the existence of uniquely powerful “primordial words” , which mediate the reality to which they point. Cognitive linguistics sees all human knowing as mediated by the “embodied (...) mind,” and characterized by concept integration, wherein a given thing comes to be known in terms of another. This understanding of embodied mind, poses a significant challenge to the Christian tradition. This challenge is answered, though, by Rahner’s distinctive anthropology and christology. (shrink)

In book 10 of City of God, Augustine appeals to the notion of true sacrifice in order to counteract the attraction of pagan worship. This appeal to the concept of sacrifice gives a distinct shape to the Christology and ecclesiology he develops in this book. Set against this polemical horizon, and within the context of his wider thought, it becomes clear that sacrifice is itself soteriological motif for Augustine. The work it does in this context is to serve as another (...) way of describing the return of humanity to God through the Incarnate Christ. The cross, the Eucharist, the moral life, and the church itself are all identified as instances of the one true sacrifice of Christ. In this way, sacrifice provides an integrative motif for discussing Augustinian Christology, ecclesiology, sacramental theology, and soteriology. (shrink)

This case study focuses on Roger Boisjoly's attempt to prevent the launch of the Challenger and subsequent quest to set the record straight despite negative consequences. Boisjoly's experiences before and after the Challenger disaster raise numerous ethical issues that are integral to any explanation of the disaster and applicable to other management situations. Underlying all these issues, however, is the problematic relationship between individual and organizational responsibility. In analyzing this fundamental issue, this paper has two objectives: first, to demonstrate the (...) extent to which the ethical ambiguity that permeates the relationship between individual and organizational responsibility contributed to the Challenger disaster; second, to reclaim the meaning and importance of individual responsibility within the diluting context of large organizations. (shrink)

Always connect—that is the imperative of today’s media. But what about those moments when media cease to function properly, when messages go beyond the sender and receiver to become excluded from the world of communication itself—those messages that state: “There will be no more messages”? In this book, Alexander R. Galloway, Eugene Thacker, and McKenzie Wark turn our usual understanding of media and mediation on its head by arguing that these moments reveal the ways the impossibility of communication is (...) integral to communication itself—instances they call excommunication. In three linked essays, _Excommunication_ pursues this elusive topic by looking at mediation in the face of banishment, exclusion, and heresy, and by contemplating the possibilities of communication with the great beyond. First, Galloway proposes an original theory of mediation based on classical literature and philosophy, using Hermes, Iris, and the Furies to map out three of the most prevalent modes of mediation today—mediation as exchange, as illumination, and as network. Then, Thacker goes boldly beyond Galloway’s classification scheme by examining the concept of excommunication through the secret link between the modern horror genre and medieval mysticism. Charting a trajectory of examples from H. P. Lovecraft to Meister Eckhart, Thacker explores those instances when one communicates or connects with the inaccessible, dubbing such modes of mediation “haunted” or “weird” to underscore their inaccessibility. Finally, Wark evokes the poetics of the infuriated swarm as a queer politics of heresy that deviates from both media theory and the traditional left. He posits a critical theory that celebrates heresy and that is distinct from those that now venerate Saint Paul. Reexamining commonplace definitions of media, mediation, and communication, _Excommunication_ offers a glimpse into the realm of the nonhuman to find a theory of mediation adequate to our present condition. (shrink)

In this paper we will analyze the relationship between free market principles and ethics through an exploration of how too many business managers often approach the ideas of Adam Smith and Milton Friedman. In doing so, we aim to provide a thoughtful foundation for future discussions of how we ought to navigate this intersection. We briefly examine questions such as: What is the relationship between the “best” economy in terms of efficiency and the common good for society? Is pursuing one’s (...) individual economic advantage the same as promoting the general interest? As we analyze and discuss these questions, specifically in the context of Smith and Friedman, we also make some alternative normative assertions, grounded in social welfare, about adopting a broader societal perspective for the purpose of business. (shrink)