Challenging the fashionable belief that the Constitution should be interpreted in relation to the times, the distinguished contributors to Our Peculiar Security argue that the Constitution has a dual character. On the one hand it is law, in a binding and judicially enforceable sense. On the other hand, it is a decidedly political document.

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.

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)

This case study aims to preserve and disseminate cultural heritage information about the North American community folk dance tradition of contra dance through development of a thesaurus of choreographic terms and a domain ontology. A survey of dance resources was conducted, reviewing historic and modern examples of contra dance choreography notation and instructions, records of dance events, and recordings of dance performances. Domain and content analysis were performed on the resources to collect and organize concepts and themes regarding choreographic components (...) and their relationships, the structure and function of cultural works, their creative expressions, and the evidence of those expressions in documents and recordings. Vocabulary used in the description of contra dance choreography was identified, classified, and notated to build a thesaurus, which was used as the basis of a domain ontology. Ontology building methodology and existing conceptual models for cultural heritage domains guided the ontology development and revision phases. The study also seeks to safeguard an intangible cultural heritage by applying knowledge organization and semantic approaches to folk dance in order to model such challenges as multiple, simultaneous modes of communication and forms of representation, modular conceptual components, descriptive sequences, differing levels of structured information, and complex cultural networks found at various levels of domain discourse. (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.

This book taps the best American thinkers to answer the essential American question: How do we sustain our experiment in government of, by, and for the people? Authored by an extraordinary and politically diverse roster of public officials, scholars, and educators, these chapters describe our nation's civic education problem, assess its causes, offer an agenda for reform, and explain the high stakes at risk if we fail.

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)

As described by the ancient metricians, catalexis is a matter of arithmetic rather than rhythm. They develop the idea in their usual way, mechanically and mathematically, adding and subtracting elements, so as to produce ‘brachycatalexis’ and ‘hypercatalexis’. These are now mere metrical-glossary terms, but in catalexismodern metricians have seen a genuine relationship between cola and a rhythmic effect more or less comprehensible even to us. Wilamowitz, T.D. Goodell, and A.M. Dale explore the concept to some extent, but current hand books (...) and general treatises give it only perfunctory and superficial treatment, while casual appearances of the term offer the reader glimpses of a theoretical substructure which hasnot been explicitly and coherently explained. (shrink)

Purpose: In the paper, I discuss how Ernst Glasersfeld worked as a scientist on the project, Interdisciplinary Research on Number (IRON), and explain how his scientific activity fueled his development of radical constructivism. I also present IRON as a progressive research program in radical constructivism and suggest the essential components of such programs. Findings: The basic problem of Glasersfeld's radical constructivism is to explore the operations by means of which we assemble our experiential reality. Conceptual analysis is Glasersfeld's way of (...) doing science and he used it in IRON to analyze the units that young children create and count in the activity of counting. In his work in IRON, Glasersfeld first conducted a first-order conceptual analysis of his own operations that produce units and number, and then participated in a second-order analysis of the language and actions of children and inferred the mental operations that they use to produce units and number. Further, Glasersfeld used Piaget's concept of equilibration in the context of scheme theory in a second-order analysis of children's construction of number sequences and of more advanced ways and means of operating in the traffic of numbers. Research Implications: The scientific method of first- and second-order conceptual analysis transcends our work in IRON and it is applicable in any radical constructivist research program whose problem is to explore the operations by means of which we construct our conceptions. Because of the difficulties involved with introspection, conducting second-order conceptual analyses is essential in exploring these operations and it involves analyzing the language and actions of the observed. But conceptual analysis is only a part of the research process because the researchers are by necessity already involved in creating occasions of observation. The "experimenter" and the "analyst" can be the same person or they can be different people. Either case involves intensive and sustained interdisciplinary thinking and ways of working if the research program is to be maintained over a substantial period of time as a progressive research program. (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.

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)

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)

Open peer commentary on the article “Ethics: A Radical-constructivist Approach” by Andreas Quale. Upshot: The first of my two main goals in this commentary is to establish thinking of ethics as concepts rather than as non-cognitive knowledge. The second is to argue that establishing models of individuals’ ethical concepts is a scientific enterprise that is quite similar to establishing models of individuals’ mathematical concepts. To accomplish these two primary goals, I draw from my experience of working scientifically with von Glasersfeld (...) for 25 years while he was developing radical constructivism as a coherent model of knowing, and appeal to several of his basic insights to establish constructing models of ethical concepts as a scientific enterprise. (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)

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)

It is shown that the measurement algebra of Schwinger, a characterization of the properties of Pauli measurements of the first and second kinds, forming the foundation of his formulation of quantum mechanics over the complex field, has a quaternionic generalization. In this quaternionic measurement algebra some of the notions of quaternionic quantum mechanics are clarified. The conditions imposed on the form of the corresponding quantum field theory are studied, and the quantum fields are constructed. It is shown that the resulting (...) quantum fields coincide with the fermion or boson annihilation-creation operators obtained by Razon and Horwitz in the limit in which the number of particles in physical states N→∞. (shrink)

This research explores current controversies within country dance communities and the implications of cultural and ethical issues related to representation of gender and race in a KOS for an ICH, while investigating the importance of context and the applicability of semantic approaches in the implementation of synonym rings. During development of a controlled vocabulary to represent dance concepts for country dance choreography, this study encountered and considered the importance of history and culture regarding synonymous and near-synonymous terms used to describe (...) dance roles and choreographic elements. A subset of names for the same choreographic concepts across four subdomains of country dance (English country dance, Scottish country dance, contra dance, and modern western square dance) were used as a case study. These concepts included traditionally gendered dance roles and choreographic terms with a racially pejorative history. Through the lens of existing research on ethical knowl­edge organization, this study focused on principles and methods of transparency, multivocality, cultural warrant, cultural hospitality, and intersectionality to conduct a domain analysis of country dance resources. The analysis revealed differing levels of engagement and distinction among dance practitioners and communities for their preferences to use different terms for the same concept. Various lexical, grammatical, affective, social, political, and cultural aspects also emerged as important contextual factors for the use and assignment of terms. As a result, this study proposes the use of semantic annotation to represent those contextual factors and to allow mechanisms of user choice in the design of a country dance knowl­edge organization system. Future research arising from this study would focus on expanding examination to other country dance genres and continued exploration of the use of semantic approaches to represent contextual factors in controlled vocabulary development. (shrink)