scholarly journals ¿Cuándo una demostración es más perspicua que otra?

Author(s):  
José Seoane

Proofs contribute to mathematical knowledge in a richer way than through exclusively of their results. Then, a philosophically relevant task is to inquire how diverse demonstrations of the same result concretize that contribution. This essay compares (following a recent work by John Dawson) various demonstrations of an elementary result of number theory, regarding a specific relation: “. . . is more perspicuous than . . . ”. The main conclusion of this work aims to highlight (in the cases considered) the relevance of the analysis of the strategic and expressive contrasts and its peculiar dynamics, in the understanding of the relationship of perspicuity between proofs.

Author(s):  
Jan C. A. Boeyens

The discovery of material periodicity must rank as one of the major achievements of mankind. It reveals an ordered reality despite the gloomy pronouncements of quantum philosophers. Periodicity only appears in closed systems with well-defined boundary conditions. This condition excludes an infinite Euclidean universe and all forms of a chaotic multiverse. Manifestations of cosmic order were observed and misinterpreted by the ancients as divine regulation of terrestrial events, dictated by celestial intervention. Analysis of observed patterns developed into the ancient sciences of astrology, alchemy and numerology, which appeared to magically predict the effects of the macrocosm on the microcosm. The sciences of astronomy and chemistry have by now managed to outgrow the magic connotation, but number theory remains suspect as a scientific pursuit. The relationship between Fibonacci numbers and cosmic self-similarity is constantly being confused with spurious claims of religious and mystic codes, imagined to be revealed through the golden ratio in the architecture of the Great Pyramid and other structures such as the Temple of Luxor. The terminology which is shared by number theory and numerology, such as perfect number, magic number, tetrahedral number and many more, contributes to the confusion. It is not immediately obvious that number theory does not treat 3 as a sacred number, 13 as unlucky and 666 as an apocalyptic threat. The relationship of physical systems to numbers is no more mysterious nor less potent than to differential calculus. Like a differential equation, number theory does not dictate, but only describes physical behavior. The way in which number theory describes the periodicity of matter, atomic structure, superconductivity, electronegativity, bond order, and covalent interaction was summarized in a recent volume. The following brief summary of these results is augmented here by a discussion of atomic and molecular polarizabilities, as derived by number theory, and in all cases specified in relation to the grand periodic function that embodies self-similarity over all space-time.


2011 ◽  
Vol 4 (2) ◽  
pp. 153-173
Author(s):  
William Beard

David Cronenberg's recent work has shown a continuation of the same themes and motifs found in his exploratory and formative works of the 70s and early 80s. The relationship of mind and body, of rationality and flesh, of control and loss of identity, continues to be the dominating dichotomy of his cinematic world. But the relatively simple thematic oppositions of repression and explosion, and their relatively unexamined emotional underpinnings of ironic detachment and regurgitative disgust, of an early film like Shivers (1975) have given way in the 1980s to a much more complex and sensitive exploration of the causes and implications of Cronenberg's understanding of things. The author proposes, in this essay, to undertake a close examination of Cronenberg's 1986 film The Fly as a partial illustration of this process of continuation and refinement.


Tempo ◽  
2013 ◽  
Vol 67 (265) ◽  
pp. 37-49
Author(s):  
Malcolm Miller

AbstractThis interview, based on a conversation with Simon Bainbridge at London's City Literary Institute in June 2011, presents something of a rounded portrait of the composer while covering a good deal of ground. We began our conversation with a discussion of a recent work for orchestra, Concerti Grossi, going into some detail in matters of scoring and structure. The discussion then broadened to cover such topics as the creative process, formative influences (for example, his parents' activity in the visual arts, Debussy's Jeux, John Lambert and Gunther Schuller), instrumentation and the relationship of music and text. This led on specifically to Bainbridge's settings of Primo Levi, in for example the cycle Ad Ora Incerta, and to a consideration of the composer's relationship with the audience.


2007 ◽  
Vol 50 (2) ◽  
pp. 449-464 ◽  
Author(s):  
MICHAEL EDWARDS

The historiography of early modern Aristotelian philosophy and its relationship with its seventeenth-century critics, such as Hobbes and Descartes, has expanded in recent years. This article explores the dynamics of this project, focusing on a tendency to complicate and divide up the category of Aristotelianism into multiple ‘Aristotelianisms’, and the significance of this move for attempts to write a contextual history of the relationship of Hobbes and Descartes to their Aristotelian contemporaries and predecessors. In particular, it considers recent work on Cartesian and Hobbesian natural philosophy, and the ways in which historians have related the different forms of early modern Aristotelianism to the projects of the novatores.


2017 ◽  
Vol 25 (1) ◽  
pp. 81-99
Author(s):  
Page duBois

This response to the essays collected here considers questions of torture, slavery, and resistance. Building on the fruitful extension of earlier work on ancient Greek practices of the basanos, or “touchstone,” and on slavery in the ancient world and in antebellum America, the response takes account of the valuable and thought-provoking use of duBois’ work in the new contexts of early Christianity. The response also points to her recent work on the relationship of torture, crucifixion, slavery, forms of resistance, and the persistence, in new forms, of what Hellenists tend to call “polytheism”.



2004 ◽  
Vol 18 (5) ◽  
pp. 435-443 ◽  
Author(s):  
Gisli H. Gudjonsson ◽  
Jon Fridrik Sigurdsson ◽  
Olafur O. Bragason ◽  
Emil Einarsson ◽  
Eva B. Valdimarsdottir

The aim of the study was to assess the relationship of compliance with Eysenck's three personality dimensions: psychoticism, extraversion, and neuroticism. Three groups of participants (prison inmates, college students, and university students) completed the Gudjonsson Compliance Scale (GCS) and the Eysenck Personality Questionnaire (EPQ). As predicted, compliance correlated positively with neuroticism and negatively with extraversion in all groups, whereas for psychoticism the correlation was positive among the prison inmates, negative for college students, and non‐significant for university students. A quadrant analysis according to Eysenck's original two‐dimensional framework (neuroticism–stability and introversion–extraversion) showed that compliance was highest among unstable introverts and lowest among stable extraverts. The findings are discussed in relation to recent work on person‐type approaches. Copyright © 2004 John Wiley & Sons, Ltd.


2020 ◽  
Vol 70 (1) ◽  
pp. 104-123
Author(s):  
Carol A. Newsom

Abstract This paper examines various ways in which ancient Israelite texts speak of the relationship of divine spirit to human bodies. Methodologically, it takes its cue from recent work in cognitive anthropology, specifically the study of cultural cognitive models. This approach pays attention to keywords, metaphors, and aspects of syntax and grammar to attempt to elicit implicit assumptions that lie behind and enable the discourse itself. With respect to divine spirit and human bodies the texts reveal a particular focus on the modalities of the relationship. Although the two major models are “wind-against-object” and “breathwind-in-container,” a surprising number of expressions featuring spirit-as-liquid are attested. Moreover, certain aspects of how death is modeled become clearer when one distinguishes a rûaḥ model of vitality from a nepeš model. Implications for further research in the areas of selfhood and personal agency are suggested.


1976 ◽  
Vol 70 (6) ◽  
pp. 232-236
Author(s):  
Thomas E. Coveny

Research concerning the adaptation and development of tests for visually handicapped children is reviewed. Early developmental work with verbal tests is examined as well as the more recent work undertaken to develop performance type tests. Finally, work on the validation of both verbal and performance tests, as well as the relationship of such tests to academic performance, is described.


Author(s):  
Silvan Sievers ◽  
Martin Wehrle

Stubborn sets are a pruning technique for state-space search which is well established in optimal classical planning. In this paper, we show that weak stubborn sets introduced in recent work in planning are actually not weak stubborn sets in Valmari's original sense. Based on this finding, we introduce weak stubborn sets in the original sense for planning by providing a generalized definition analogously to generalized strong stubborn sets in previous work. We discuss the relationship of strong, weak and the previously called weak stubborn sets, thus providing a further step in getting an overall picture of the stubborn set approach in planning.


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