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)

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.

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.

As in literature poetry precedes prose, so in poetry a special and ‘heightened’ diction seems to precede everyday language. Mr.T.S.Eliot has put it thus: ‘Every revolution in poetry is apt to be, and sometimes to announce itself as, a return to common speech.’ How does this apply to Greek and Latin ? There are objections to considering words in isolation from this point of view, since neutral ones are apt to go now grey, now purple, according to their company; but (...) if we do not do so, we deny ourselves the only considerable method of investigation that is still open to us. Again, we must recognize that most poems are composed largely of ordinary words, though these are often used in a way that is not ordinary. (shrink)

The elements which every schoolboy learns on beginning Latin Verse Composition include a number of rules which seem arbitrarily designed to make the game harder. In hexameters, he is told, he must have a masculine caesura either in the third foot or in the second and fourth, and end normally with a disyllabic or a trisyllable; in pentameters he must end with a disyllabic; and in neither line may a single monosyllable stand at the end. Rarely, in my experience, is (...) any reason given him by way of redress, and he will search for one in vain in most of the school text-books, in introductions like Postgate's to Tibullus and Propertius, and in histories of Latin literature like Wight Duff's and Mackail's. This reticence may be due to the dissensions of experts on this subject and on the subject of Latin accentuation in general, but the theory that predominates in England, among those who hold a theory at all, explains so many of the phenomena that it deserves to be more widely and precisely known. The most detailed exposition of it is by E. H. Sturtevant, who summed up his analyses in a pair of articles in the Transactions of the American Philological Association in 1923–4. While his careful work is invaluable as marshalling the statistics and evidence, it errs on the side of excessive minuteness, and leaves room not merely for some additions, but for a different kind of treatment concerned less with bare statistics and more with poetic principles and historical development. Since Latin Verse Composition plays such an important part in English higher classical education, it seems desirable that a less technical and more accessible account should be available for English readers. Such an account I attempt to give here, keeping separate as far as possible the exposition and the consideration of the criticisms and rival theories that have been advanced. (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.

In C.Q. xliii , p. 39, Mr. J. H. Quincey quotes the opening lines of Catalepton 5 as, Ite hinc,-inanes, ite, rhetorum ampullae, inflata rhoso* non Achaico verba, and adds, ‘the second line is corrupt and no satisfactory emendation has been proposed’. The MS. readings are: rhorso B, roso Mu, om. in lacuna Ar. In face of these voces nihili many have fallen back on the rore of the Aldine edition of 1517. But this does not really help, for one (...) does not inflate with dew: orators are not dew-bags, but wind-bags. It occurred to me some years ago that what is needed is some word meaning breath or wind to go with inflata, and that in view of the rh in rhorso it was probably a Greek word which a scribe had failed to recognize. I conjectured οζ, and found subsequently that this had been proposed by K. Münscher in Hermes, xlvii , pp. 153–4. οȋζος used of any rushing sound, is applied to speech by Philostratus , and by Pollux . It is easy to see how rhoezo could degenerate into rhoeso-rhoso-roso. (shrink)

It has been pointed out to me that in my article on ‘The Augustan Rules for Dactylic Verse’ I misrepresented an observation of Maas as reported by Wilamowitz in his Griechische Verskunst, p. 53. Wilamowitz' words are: ‘Wenn Tibull und Ovid den Pentameter so bauen, dass die vorletzte Silbe betont wird, tun sie das nach dem Vorgange gleichzeitiger griechischer Epigrammatiker.’ This means, of course, that the Greek writers mentioned ended with a paroxytone word, not necessarily with a disyllable, as I (...) assumed it to mean, and I apologize for the oversight. (shrink)

The fragmentary columns of the Fourth Book of Philodemus' περ μονσικς were the first-fruits of Herculaneum, published in 1793, with venturesome reconstructions and learned notes, by the Academici of Naples. Fragments of the other books occur in four volumes of the Collectio Altera of 1862–5. A. Teubner Text by J. Kemke, a pupil of Bücheler, appeared in 1884, upon which Gomperz made a number of improvements in a pamphlet published in the following year. Otherwise, save for a few pages in (...) H. Abert's Die Lehre vom Ethos in der griechischen Musik published in 1899, the work has attracted very little attention; which is scarcely surprising in view of the state of the text and the peculiar awkwardness of Philodemus' Greek. (shrink)

In his valuable contribution to the Fondation Hardt Entretiens of 1960 on Hesiod Professor La Penna dealt with the famous ‘theodicy of labour’ in Virgil, Georgics I. 118–59. He recalled that, whereas Hesiod made Prometheus' trickery the reason for Zeus' hiding fire and the other goods and so rendering labour necessary, Virgil omits mention of Prometheus or of any element of guilt.

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)

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)