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.

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)

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)

One of the notable arguments in the history of philosophy is Descartes' thesis: cogito, ergo sum. However, the question as to the logical nature of that argument has not yet been entirely clarified.

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)

Purpose: One of my goals in the paper is to investigate why realists reject radical constructivism (RC) as well as social constructivism (SC) out of hand. I shall do this by means of commenting on Peter Slezak’s critical paper, Radical Constructivism: Epistemology, Education and Dynamite. My other goal is to explore why realists condemn the use of RC and SC in science and mathematics education for no stated reason, again by means of commenting on Slezak’s paper. Method: I restrict my (...) comments to Slezak’s paper and leave it to the reader to judge which, if any, of the reasons that I advance for these two states of affairs are not specific to Slezak’s paper. Other readers might not agree with my interpretations of Slezak’s paper, including Slezak himself, but I offer them after having worked with von Glasersfeld in interdisciplinary research in mathematics education for over 25 years. Findings: My findings are that Slezak: (1) rejects RC and SC on the basis of unjustified criticisms, (2) does not explore basic tenets of RC nor of SC beyond the unjustified criticisms, (3) rejects how SC and RC have been used in science and mathematics education, based at least in part on the unjustified criticisms, (3) dislikes how SC has been used in science and mathematics education, a dislike that fuels his rejection of any constructivism, and (4) doesn’t explore how RC has been used in scientific investigations in mathematics education. On the basis of these findings, I conclude that how epistemological models of knowing might be used in science or mathematics education would be better left to the educators who use them in interdisciplinary work. (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)

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)

The level of medical care to patients and the success of the implementation of the national project "Health" depend on the health status and doctor's professionalism. Modern healthcare reform is being implemented by optimizing costs, merging medical organizations, closing ineffective hospitals, expanding the use of high-tech care and informatization of the doctor's activities. All this makes it necessary to assess the health of doctors. Scientists have studied the quality of life and identified the professional burnout of doctors in children's clinics (...) in different age groups. Primary care pediatricians have a higher quality of life score when compared to the standard [1]. However, all groups have a high level of professional burnout. The pre-retirement group of doctors has more unfavorable profile. They are highly professional specialists but may experience emotional discomfort because the pension system has been reformed. This situation requires the introduction of preventive work with doctors of this age as a group with great potential and capable of professional longevity. (shrink)

Open peer commentary on the article “Negotiating Between Learner and Mathematics: A Conceptual Framework to Analyze Teacher Sensitivity Toward Constructivism in a Mathematics Classroom” by Philip Borg, Dave Hewitt & Ian Jones. Upshot: My commentary has two general goals. First, I investigate how basic principles of radical constructivism might be used in constructing models of mathematics teaching. Toward that end, I found that I was not in complete intersubjective agreement with Borg et al.’s use of some basic terms. Second, I (...) explore what mathematics teaching might look like in what is construed as constructivist mathematics teaching. Toward that end, I comment on Borg et al.’s use of “negotiation” and explain how a constructivist teacher can establish experiential models of students’ mathematics. (shrink)

This study uses a “science pipeline” model and cross-national data to examine women's participation in science education and occupations in seven countries. Gender stratification in later science education and in science occupations is found in every country examined. Young women's participation in science education decreases with each stage in the science pipeline, but there is considerable cross-national variation in the extent of gender stratification in science. Findings show greater gender stratification in science occupations than in science education, suggesting factors other (...) than training help maintain inequality in high-status science occupations. (shrink)

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

В книге на материале различных культурных ареалов (Западной Европы, Руси / России, цивилизации Востока) и эпох (Античности, Средневековья, Нового времени) исследуются образы времени, коллективные представления о связи времен, о прошлом и будущем.

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)

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)