The gauge compensation fields induced by the differential operators of the Stueckelberg-Schrödinger equation are discussed, as well as the relation between these fields and the standard Maxwell fields; An action is constructed and the second quantization of the fields carried out using a constraint procedure. The properties of the second quantized matter fields are discussed.

Some of the problems associated with the construction of a manifestly covariant relativistic quantum theory are discussed. A resolution of this problem is given in terms of the off mass shell classical and quantum mechanics of Stueckelberg, Horwitz and Piron. This theory contains many questions of interpretation, reaching deeply into the notions of time, localizability and causality. A proper generalization of the Maxwell theory of electromagnetic interaction, required for the well-posed formulation of dynamical problems of systems with electromagnetic interaction is (...) discussed, and some of the significance of recently found (classical) relativistic chaotic behavior is pointed out. Many results of a technical nature have been achieved in this framework; in this paper, some of these are reviewed, but I shall concentrate on a discussion of the basic ideas and foundations of the theory. (shrink)

Gilbert Ryle in The Concept of Mind pronounced the “official doctrine” regarding the nature of the mind and the body as “hailing chiefly from Descartes.” That doctrine, anathematized by Ryle as “the dogma of the ghost in the machine,” is said to hold that every human being is composed of a body and a mind, that the body is physical whereas the mind is not, and that the mind may continue to exist when the body is destroyed. Ryle’s famous attack (...) on the official doctrine has undoubtedly stimulated Cartesian studies, both in those who wish to understand Descartes better in order to make the defense of the doctrine more effective and in those who wish to attack it, sometimes even with arguments which Ryle himself would have rejected. Occasionally, one reads a reference to “Platonic dualism,” not so much as a clearly defined alternative to Cartesian dualism but rather as an inchoate or loose version of Descartes’ doctrine. A recent exception is Richard Rorty who in the first chapter of his book Philosophy and the Mirror of Nature has insisted on the difference between the Platonic and the Cartesian positions, although it should perhaps be added that his hostility to the former is if anything greater than his hostility to the latter. Without suggesting that there are not obvious similarities in the Platonic and Cartesian versions of dualism, it will perhaps be useful to try to penetrate beneath the slogans in order to get a clearer picture of the arguments which impelled Plato to hold a position the strangeness which was evident even to his contemporaries. (shrink)

In this paper we show that the prime ideal space of an MV-algebra is the disjoint union of prime ideal spaces of suitable local MV-algebras. Some special classes of algebras are defined and their spaces are investigated. The space of minimal prime ideals is studied as well.

The paper is aimed at analyzing the contribution that the Global Reporting Initiative makes to the field of sustainability reporting. It provides an overview of the multitude of initiatives aimed at standardizing corporate social responsibility efforts on a global scale and highlights the ways in which the GRI can be distinguished from other international initiatives. By evaluating GRI's goals and its claims, the paper provides an overview of the strengths and weaknesses of this critical initiative. It includes a discussion of (...) changes and new strategies that GRI proposes as part of its recently introduced G3 Guidelines. The authors contend that, despite certain remaining challenges, GRI has much to offer a stakeholder community that has for many decades been starved of quality, measurable and accountable corporate social information presented in an accessible and understandable format. (shrink)

1. Bog i tvarnyi mīr -- 2-3. Bog i mīr, v Bogochelovi︠e︡ki︠e︡ vi︠e︡chnyĭ ad pobi︠e︡zhdai︠u︡shchīĭ.

---- t. 6. O nachalakh : opyt khristīanskoĭ metafiziki. [no.] 1. Bog i tvarnyi mīr. [no.] 2-3. Bog i mīr, v Bogochelovi︠e︡ki︠e︡ vi︠e︡chnyĭ ad pobi︠e︡zhdai︠u︡shchīĭ.

It is well known that when resolution occurs in the stichic iambics and trochaics of tragedy word-end is not found between the two shorts so produced: w or, more accurately, that the first short of resolution must not be the last syllable of a polysyllabic word. Moreover, the syllables in resolution most often form part of the same word as the following short or anceps, e.g.: Ion 1143.

Paul Maas extended the law still further: ‘The following rule applies to several metres which contain the rhythm : no word can end after a long anceps, except at the caesura in the middle of the line.’ He lists the types of metre to which the rule applies as the stichic iambic trimeters and trochaic tetrameters of the early iambographers and the Attic tragedians, the dactylo-epitrites of Bacchylides, the trochaic trimeters and dimeters of Alcman's Partheneion, the end of the iambic (...) tetrameters of Sophocles' Ichneutae, and ‘certain rare metres, whose conformity to this rule may be due to accident’. (shrink)

Paul Maas extended the law still further: ‘The following rule applies to several metres which contain the rhythm : no word can end after a long anceps, except at the caesura in the middle of the line.’ He lists the types of metre to which the rule applies as the stichic iambic trimeters and trochaic tetrameters of the early iambographers and the Attic tragedians, the dactylo-epitrites of Bacchylides, the trochaic trimeters and dimeters of Alcman's Partheneion, the end of the iambic (...) tetrameters of Sophocles' Ichneutae, and ‘certain rare metres, whose conformity to this rule may be due to accident’. (shrink)

We discuss some of the experimental motivation for the need for semigroup decay laws and the quantum Lax-Phillips theory of scattering and unstable systems. In this framework, the decay of an unstable system is described by a semigroup. The spectrum of the generator of the semigroup corresponds to the singularities of the Lax-Phillips S-matrix. In the case of discrete (complex) spectrum of the generator of the semigroup, associated with resonances, the decay law is exactly exponential. The states corresponding to these (...) resonances (eigenfunctions of the generator of the semigroup) lie in the Lax-Phillips Hilbert space, and, therefore, all physical properties of the resonant states can be computed. We show that the parametrized relativistic quantum theory is a natural setting for the realization of the Lax-Phillips theory. (shrink)

The fundamental axioms of the quantum theory do not explicitly identify the algebraic structure of the linear space for which orthogonal subspaces correspond to the propositions (equivalence classes of physical questions). The projective geometry of the weakly modular orthocomplemented lattice of propositions may be imbedded in a complex Hilbert space; this is the structure which has traditionally been used. This paper reviews some work which has been devoted to generalizing the target space of this imbedding to Hilbert modules of a (...) more general type. In particular, detailed discussion is given of the simplest generalization of the complex Hilbert space, that of the quaternion Hilbert module. (shrink)

A fundamental problem in the construction of local electromagnetic interactions in the framework of relativistic wave equations of Klein-Gordon or Dirac type is discussed, and shown to be resolved in a relativistic quantum theory of events described by functions in a Hilbert space on the manifold of space-time. The relation, abstracted from the structure of the electromagnetic current, between sequences of events, parametrized by an evolution parameter τ (“historical time”), and the commonly accepted notion of particles is reviewed. As an (...) illustration of these ideas, a perturbative calculation is made for photon emission from a charged two-body system in which the electromagnetic field is quantized in the usual way. The result is in essential agreement with calculations in which the charged particles are treated in the framework of nonrelativistic quantum mechanics, and provides them with a relativistic interpretation. In particular, we obtain a relativistically invariant form of the Bohr radiation condition. (shrink)