Euphorion SH 417 deserves to be better known. A curiosity in itself—an apparent poetic reference to number theory—it is also, potentially, one of our earliest references to Euclidean material. On the authority of a late commentator on Aristotle, Euphorion, a mid-third-century b.c. Euboean poet who was also active in Athens and Antioch, is said to have mentioned perfect numbers—i.e. numbers which equal the total of all their factors, including 1. It is a pity that the context in Euphorion does not (...) survive, and that the line is only preserved, and indeed interpreted, by so late a source. But the wording of the fragment—if Westerink's restoration of its various corruptions is plausible—would strongly suggest a reference to the notion of perfect number. The fragment has been known since Westerink published it in 1960, and was included both in Van Groningen's edition of Euphorion in 1977 and in Supplementum Hellenisticum. But its implications have still not been discussed, and when David Fowler came to gather the evidence for references to Euclidean material in and after the third century b.c. in The Mathematics of Plato's Academy, his attention, unsurprisingly, was not drawn to it. Euphorion has had a bad press, as a poet of rebarbatively obscure myth and intractable vocabulary; yet he holds some interest, and we may be missing more insights into the intellectual life of the Hellenistic period which the perverse intelligence and baneful wit of the fragments display. (shrink)

We show that if M is an r‐maximal set, A is a major subset of M, B is an arbitrary set and, then. We prove that the c.e. ‐degrees are not dense. We also show that there exist infinite collections of ‐degrees and such that the following hold: (i) for every i, j,, and,(ii) each consists entirely of r‐maximal sets, and(iii) each consists entirely of non‐r‐maximal hyperhypersimple sets.

Euphorion SH 417 deserves to be better known. A curiosity in itself—an apparent poetic reference to number theory—it is also, potentially, one of our earliest references to Euclidean material. On the authority of a late commentator on Aristotle, Euphorion, a mid-third-century b.c. Euboean poet who was also active in Athens and Antioch, is said to have mentioned perfect numbers—i.e. numbers which equal the total of all their factors, including 1 . It is a pity that the context in Euphorion does (...) not survive, and that the line is only preserved, and indeed interpreted, by so late a source. But the wording of the fragment—if Westerink's restoration of its various corruptions is plausible—would strongly suggest a reference to the notion of perfect number. The fragment has been known since Westerink published it in 1960, and was included both in Van Groningen's edition of Euphorion in 1977 and in Supplementum Hellenisticum . But its implications have still not been discussed, and when David Fowler came to gather the evidence for references to Euclidean material in and after the third century b.c. in The Mathematics of Plato's Academy, his attention, unsurprisingly, was not drawn to it. Euphorion has had a bad press, as a poet of rebarbatively obscure myth and intractable vocabulary; yet he holds some interest, and we may be missing more insights into the intellectual life of the Hellenistic period which the perverse intelligence and baneful wit of the fragments display. (shrink)

The subjective effects and therapeutic potential of the shamanic practice of journeying is well known. However, previous research has neglected to provide a comprehensive assessment of the subjective effects of shamanic-like journeying techniques on non-shamans. Shamanic-like techniques are those that demonstrate some similarity to shamanic practices and yet deviate from what may genuinely be considered shamanism. Furthermore, the personality traits that influence individual susceptibility to shamanic-like techniques are unclear. The aim of the present study was, thus, to investigate experimentally the (...) effect of shamanic-like techniques and a personality trait referred to as "ego boundaries" on subjective experience including mood disturbance. Forty-three non-shamans were administered a composite questionnaire consisting of demographic items and a measure of ego boundaries (i.e., the Short Boundary Questionnaire; BQ-Sh). Participants were randomly assigned to one of three conditions: listening to monotonous drumming for 15 minutes coupled with one of two sets of journeying instructions; or sitting quietly with eyes closed for 15 minutes. Participants' subjective experience and mood disturbance were retrospectively assessed using the Phenomenology of Consciousness Inventory (PCI) and the Profile of Mood States-Short Form, respectively. The results indicated that there was a statistically significant difference between conditions with regard to the PCI major dimensions of visual imagery, attention and rationality, and minor dimensions of imagery amount and absorption. However, the shamanic-like conditions were not associated with a major reorganization of the pattern of subjective experience compared to the sitting quietly condition, suggesting that what is typically referred to as an altered state of consciousness effect was not evident. One shamanic-like condition and the BQ-Sh subscales need for order, childlikeness, and sensitivity were statistically significant predictors of total mood disturbance. Implications of the findings for the anthropology of consciousness are also considered. (shrink)

The ritual handling of serpents remains an unnoticed cultural form for the explanatory aims and theoretical insights desired by cognitive scientists of religion. In the current article, we introduce the Hood and Williams archives at The University of Tennessee at Chattanooga that contains data culled from Hood’s 40-plus year career of studying serpent handlers. The archives contain hundreds of hours of interviews and recordings of speaking in tongues, handling fire, drinking poison, and taking up serpents by different congregants and congregations. (...) The archive remains a rich but untapped source of data for building, testing, and refining cognitive theories of ritual in general, and serpent handling in specific. We connect Hood’s work to current cognitive theories and engage critically with research on the social functions of ritual. Finally, we discuss several further reasons to pay more attention to SHS communities and practices in cognitive theories of ritual. (shrink)

Leon Pinsker’s pamphlet Autoemancipation! (1882), a seminal text of early Jewish nationalism, arguably established Zionism as a movement functioning in the German language. Soon after its publication, the renowned Yiddish writer Sh. Y. Abramovitch produced a Yiddish language version (1884). Abramovitsh’s rendering is above all an adaptation of German or Western European political and cultural concepts and vocabulary to the Jewish, Eastern European Yiddish-speaking milieu, with changes in vocabulary, rhetorical strategies, and cultural references. Abramovitsh reworked the pamphlet according to his (...) own thinking on the plight of Jews in the Russian Empire and a possible nationalist solution, as exemplified in his contemporary novels. In the article, I compare the language in which several socio-political concepts are expressed in the two texts in order to determine whether Abramovitsh, in his ideological skepticism, also subtly adapts the content of the nationalist thesis. (shrink)

Stephen J. Macekura, The Mismeasure of Progress: Economic Growth and Its Critics, Chicago and London, The University of Chicago Press, 2020.

A. M. Pitts in [Pi] proved that HA op fp is a bi-Heyting category satisfying the Lawrence condition. We show that the embedding $\Phi: HA^\mathrm{op}_\mathrm{fp} \longrightarrow Sh(\mathbf{P_0,J_0})$ into the topos of sheaves, (P 0 is the category of finite rooted posets and open maps, J 0 the canonical topology on P 0 ) given by $H \longmapsto HA(H,\mathscr{D}(-)): \mathbf{P_0} \longrightarrow \text{Set}$ preserves the structure mentioned above, finite coproducts, and subobject classifier, it is also conservative. This whole structure on HA op (...) fp can be derived from that of Sh(P 0 ,J 0 ) via the embedding Φ. We also show that the equivalence relations in HA op fp are not effective in general. On the way to these results we establish a new kind of duality between HA op fp and a category of sheaves equipped with certain structure defined in terms of Ehrenfeucht games. Our methods are model-theoretic and combinatorial as opposed to proof-theoretic as in [Pi]. (shrink)

The proclamation of the death of God came at a pivotal time in the history of humankind. It far transcended the concerns of the religious faithful and dented the entire fabric of human existence. Left to its own devices, humans intended their consciousness to replace God's. This proved to be a terrible mistake that collapsed the entire modern project. One of the worldviews that emerged in the wake of this eruption was antinatalism, which refers to the conviction that human reproduction (...) should be brought to an absolute halt. This is the most modern outgrowth of the death of God and represents the most radical face of secular humanism. In spite of the admittedly dark fumes that leak out from the term ‘antinatalism’, this philosophical position emerges quite naturally when we consider the depletion of our traditional sources of philosophical enquiry. (shrink)

The idea that immoral behaviour can sometimes be admirable, and that moral behaviour can sometimes be less than admirable, has led several of its supporters to infer that moral considerations are not always overriding, contrary to what has been traditionally maintained. In this paper I shall challenge this inference. My purpose in doing so is to expose and acknowledge something that has been inadequately appreciated, namely, the moral aspect of nonmoral goods and evils. I hope thereby to show that, even (...) if immorality can be admirable, this poses no threat to morality. (shrink)

The review of the collective monograph "Running and Philosophy", which has not been introduced into the sphere of domestic research of philosophical aspects of physical culture and sports, is presented. Marathon for the Mind" (published in English in 2007). The publication includes 19 essays prepared by American philosophers. The professional study of the socio-cultural determination and the existential significance of running practices by the authors of the monograph is effectively combined with the analysis of personal experience of participating in stayer (...) races, which provides a confessional and emotional presentation, as well as practical confirmation of the results obtained. It can be assumed that the content of the collection under consideration covers the main thematic repertoire and represents the research techniques of the philosophy of running that has been forming since the second half of the twentieth century. The reviewed monograph reveals the humanistic potential of running as a factor of anthropogenesis (Sh. Kay), a means of achieving "correct" apathy (R. Devitt) and the highest kind of friendship (M. V. Austin). R. A. Belliotti considers running as a way to gain superhuman standing, H. L. Reed and R. S. Reed find in it the embodiment of the values of existentialism. Within the framework of solving the problems of anthropological dualism, running activity is addressed by J. J. Wisniewski, M. Maze, C. Taliaferro and R. Trauber. K. Martin and M. S. Nussbaum consider running as a medium of aesthetic experience generation, R. J. van Arragon and K. Kinghorn reflect on the typology of runners. D. P. Fry and J. P. Moreland The connection between running and religious practices is investigated, G. Basham, K. Kelly, U. P. Kabasench and D. R. Hochstetler analyze the correlation of goals and means of running activity. Thus, the monograph substantiates the understanding of running as a publicly available and effective means of gaining physical, mental and social well-being, which expresses the humanistic essence of running practices and justifies the philosophical and anthropological significance of their research. (shrink)

Working in a fixed Grothendieck topos Sh(C, J C ) we generalize \({\mathcal{L}_{{\infty},\omega}}\) to allow our languages and formulas to make explicit reference to Sh(C, J C ). We likewise generalize the notion of model. We then show how to encode these generalized structures by models of a related sentence of \({\mathcal{L}_{{\infty},\omega}}\) in the category of sets and functions. Using this encoding we prove analogs of several results concerning \({\mathcal{L}_{{\infty},\omega}}\) , such as the downward Löwenheim–Skolem theorem, the completeness theorem and (...) Barwise compactness. (shrink)

In the course of history, many individuals have the dubious honor of being remembered primarily for an eponym of which they would disapprove. How many are aware that Joseph-Ignace Guillotin actually opposed the death penalty? Another notable case is that of Maria Agnesi, an Italian woman of privileged, but not noble, birth who excelled at mathematics and philosophy during the eighteenth century. In her treatise of 1748, Instituzioni Analitiche, she provided a comprehensive summary of the current state of knowledge concerning (...) both integral calculus and differential equations. Later in life she was elected to the Bologna Academy of Sciences and, in 1762, was consulted by the University of Turin for an opinion on the work of an up-and-coming mathematician named Joseph-Louis Lagrange. (shrink)

The advent of the post-Stalin "thaw," particularly the period after 1956, was marked by a spectacular expansion in the publishing of translated Western writing and also, on occasion, of editions in the original languages: the virtual ban on import of Western books was, as of 1975, never relaxed. The more permissive political atmosphere favored the publication of a vastly larger variety of Western authors and titles and provision for the Soviet public of much larger quantities of such books in the (...) country's bookstores and libraries. While the improvement was very impressive in itself, abundant data attest that it was far from adequate to satisfy reader demand.1 Among the beneficiaries, books by American authors stood out the more prominently since it was these that were most discriminated against during the years immediately preceding.2 Decades of neglect, to say nothing of politically inspired selectivity, resulted in such incongruities as the first Russian translation of Melville's Moby Dick in 1961—more than a century after the novel's appearance—and the first Soviet publication of any work by Henry James in 1973. It was not until the 1960's that Russians had an opportunity to read Faulkner—but then, the same was true of Kafka. However unevenly, the range of American literature, both old and new, now made available to Soviet readers is gradually expanding. · 1. The overall problem is discussed in detail in this writer's forthcoming book, A Decade of Euphoria: Western Literature in Post-Stalin Russia, 1954-64 . · 2. For a thorough and illuminating discussion of the fate of American literature in the U.S.S.R. from the Revolution until the early post-Stalin years, see Deming Brown, Soviet Attitudes toward American Writing . Interesting statistical data on the first post-Stalin years may also be found in Melville J. Ruggles, "American Books in Soviet Publishing," Slavic Review 20, n.3 : 419-35. A useful, very brief list of selected works of American writing published by 1968, though not entirely as complete as it purports to be, may be found in M.O. Mendel'son, A.N. Nikolyukin, R.M. Samarin, eds., Problemy literature S. Sh. A. XX. veka , pp. 391-517. Unfortunately, the Soviet bibliography contains no information on press runs of the books listed. Maurice Friedberg, head of the Department of Slavic Languages and Literatures at the University of Illinois, is the author of numerous essays and articles on Soviet literature. Professor Friedberg's most recent book, A Decade of Euphoria: Western Literature in Post-Stalin Russia, 1954-1964, will be published this year. (shrink)

In his list of essential reading, Richard Baxter includes a section on “affectionate practical English writers.” Among others, he mentions George Swinnock. While essentially forgotten today, Swinnock's contemporaries held him in high esteem as a skilful physician of the soul. The focus of this article is Swinnock's view of Scripture meditation as necessary for bridging the gap between head and heart in Christian experience. He encourages his readers to “retire out of the world's company, to converse with the word of (...) God.” He believes this “conversing” warms the heart, causing it to “boil with love” for God. With that basic premise in view, this article is organized around three main sections. The first establishes Swinnock's place in the Puritan meditative tradition, stretching back to Joseph Hall. The second analyzes Swinnock's faculty-focused approach to meditation, whereby it begins in the understanding, extends to the affections, and ends in the will, resulting in practical knowledge. The third section considers Swinnock's teaching on the role of the Holy Spirit in Scripture meditation. As with the other means of grace, meditation is ultimately dependent upon the Holy Spirit to work through it and along with it directly upon the faculties of the soul. The article concludes with Swinnock's threefold approach to transformative Scripture meditation. (shrink)