Cette étude prolonge des considérations sur la musique nées sous l'impulsion des mutations touchant le fait musical et les sciences sociales.

The Jordan decomposition theorem states that every function $f \colon \, [0,1] \to \mathbb {R}$ of bounded variation can be written as the difference of two non-decreasing functions. Combining this fact with a result of Lebesgue, every function of bounded variation is differentiable almost everywhere in the sense of Lebesgue measure. We analyze the strength of these theorems in the setting of reverse mathematics. Over $\mathsf {RCA}_{0}$, a stronger version of Jordan’s result where all functions are continuous is equivalent to (...) $\mathsf {ACA}_0$, while the version stated is equivalent to ${\textsf {WKL}}_{0}$. The result that every function on $[0,1]$ of bounded variation is almost everywhere differentiable is equivalent to ${\textsf {WWKL}}_{0}$. To state this equivalence in a meaningful way, we develop a theory of Martin–Löf randomness over $\mathsf {RCA}_0$. (shrink)

Religion is presented as a family of religions, identified by a cluster of religion-making features, most but not all of which must be present, involving beliefs and practices which are diverse and often in conflict. Because of differences in scope, application of scientific method, and vocabulary, science can also be regarded as a family—this time a family of sciences. The universality of the physical sciences contrasts with the more restricted scope of the earth sciences and the human sciences. Their relationship (...) can be shown by a three-tiered pyramid, with the physical sciences at the base, the human sciences at the top, and the earth sciences in the middle. Despite three notable differences between science and religion, science and religion are not, as popularly believed, in conflict. The contrary view, espoused by the “new atheists,” is shown to be based on oversimplified views of religion and science. There are nontheistic religions and science is committed, not to metaphysical naturalism (“scientism”), but only to methodological naturalism. Stephen Jay Gould escapes the conflict view by proposing that science and religion are independent “magisteria”, science being occupied with facts and religion with values. In divorcing the realm of facts from the realm of values, he too distorts their complex nature, for science is not devoid of values and religion makes claims about the facts. As Hume long ago suggested, facts and values are interconnected. While a fact is not the same as a value, a fact cannot support a value without presupposing another value in turn. Interaction between facts and values is here to stay. (shrink)

This paper presents a new reconstruction of Wittgenstein’s famous (and controversial) rule-following arguments. Two are the novel features offered by our reconstruction. In the first place, we propose a shift of the central focus of the discussion, from the general semantics and the philosophy of mind to the philosophy of mathematics and the rejection of the notion of a function. The second new feature is positive: we argue that Wittgenstein offers us a new alternative notion of a rule (to replace (...) the rejected functions), a notion reminiscent of Category Theory’s notion of a morphism. (shrink)

Through fourteen original essays, the book seeks to understand the viability of the notion of sovereignty in a globalized world, thus taking into account the inclusion of a language of rights, limitation and legitimacy. It examines sovereignty using a normative approach.

Analisaremos o comentário produzido por Leo Strauss a partir dos textos de Maquiavel no livro Thoughts on Machiavelli. Com base na crítica do método de leitura e escrita dos textos filosóficos de Strauss, podemos perceber que a operação interpretativa de Strauss consiste na construção de uma nova figuração do velho maquiavelismo que assaltou a obra de Maquiavel desde que passou a ser censurada pelos padres. A enunciação da tese de que o ensinamento de Maquiavel é diabólico consiste apenas no traço (...) mais superficial e evidente da interpretação teológica de Strauss, pois sob a sua nova figuração do “maquiavelismo” podemos ver ao fundo o seu projeto de destruição da filosofia moderna para insinuar uma certa e determinada filosofia contemporânea como se fosse o reestabelecimento da filosofia política clássica. (shrink)

This paper adopts justificatory moral pluralism – a multilevel framework for justifying the choice by different agents of the most appropriate norms and values to guide their decisions and actions – to climate change. Its main objective is to investigate how ethics may effectively help achieve a better result in deciding how to mitigate, adapt, or compensate by enhancing the moral acceptability of the available policies or actions that are most likely to counter the effects of climate change. JMP presents (...) agents – individuals, nonstate, and state – with a thorough yet flexible process of matching policies and actions with ethical theories, raising the robustness of moral reasons for politically efficient and individually motivating courses of action against climate change. JMP triggers climate responsibility and sensibility in agents, engaging them in discussing and finding out individually and collectively the most acceptable paths for the decarbonisation transition that is fast approaching. (shrink)

This paper discusses the method when an argument is refuted by a parallel argument since the flaw of the parallel argument is clearly displayed. The method is explicated, examined and compared with two other general methods.

We show that the elementary theory of the recursively enumerable tt-degrees has the same computational complexity as true first-order arithmetic. As auxiliary results, we prove theorems about exact pairs and initial segments in the tt-degrees.

Catalogue des manuscrits chinois de Touen-houang, fonds Pelliot de la Bibliothèque nationale, volume III, no 3001-3500, Editions de la Fondation Singer-Polignac, Paris 1983, XX + 482pp.

There is growing interest in the effect of sound on visual motion perception. One model involves the illusion created when two identical objects moving towards each other on a two-dimensional visual display can be seen to either bounce off or stream through each other. Previous studies show that the large bias normally seen toward the streaming percept can be modulated by the presentation of an auditory event at the moment of coincidence. However, no reports to date provide sufficient evidence to (...) indicate whether the sound bounce-inducing effect is due to a perceptual binding process or merely to an explicit inference resulting from the transient auditory stimulus resembling a physical collision of two objects. In the present study, we used a novel experimental design in which a subliminal sound was presented either 150 ms before, at, or 150 ms after the moment of coincidence of two disks moving towards each other. The results showed that there was an increased perception of bouncing when the subliminal sound was presented at or 150 ms after the moment of coincidence compared to when no sound was presented. These findings provide the first empirical demonstration that activation of the human auditory system without reaching consciousness affects the perception of an ambiguous visual motion display. (shrink)

This paper outlines a method to assess the effectiveness of diagrams, from semiotic foundations. In doing so, we explore the Peircian notion of signification, as applied to diagrammatic representations. We review a history of diagrams, with particular emphasis on schematics used for representing systems, and uncover the neglect of semiotic analysis of diagrammatic representations. Through application of category theory to the Peircian triadic model, we propose a set of quantitative quality measures for diagrams, and a framework for their assessment, based (...) on the properties of their encoding, pragmatic and perceptual morphisms. These measures include diagram complexity, utility, aesthetics and expert assessment of semiotic content, together with qualitative feedback. We consider the diagrams as an aid to cognitive processes, rather than a purely communication media. This utility-focused perspective on diagram quality dimensions allows for fresh insights into the creation of effective diagrams. (shrink)

La question de la culpabilité est un point capital de la pensée de Kierkegaard ; c’est par la faute que l’homme advient à soi-même. Cette interrogation, qui est examinée dans Le concept d’angoisse, est mise en scène et explorée dans Coupable? – non-coupable? En vérité, ses diverses significations ne trouvent leur cohérence qu’en étant mises en relation avec les catégories premières de Kierkegaard, celles d’amour et de don.

Annotation: This is a comprehensive and psychological history of art from a variety of cultures by one of the eminent thinkers of the twentieth century.

The book presents the results of the joint annual conference of the four Operations Research Societies DGOR, GM\OR, \GOR and SVOR, held in Vienna in 1990.

A limited number of studies attempted to account for regional and community‐level variables in exploring the mediating mechanisms conditioning the structure of educational opportunities. As a result, contextual dynamics of social stratification remain largely obscure. The aim of the present paper is to examine the relative effects of regional, locality and high school variables on access opportunities of Palestinian Arab high school pupils in Israel to educational credentials. The analysis is based on the aggregate data of 46 Arab localities. Findings (...) reveal that while high school tracking patterns are affected by high school variables at community level , access to educational credentials is determined by community‐level SES and the locality's geographic location . The implications of these findings for the broader study of issues related to equality in educational opportunities are discussed. (shrink)

Resumo: Este artigo mostra a abordagem hermenêutica realizada por Martin Heidegger dos conceitos de natureza e vida a partir da ontologia fundamental. Em Ser e Tempo, Heidegger elabora as condições hermenêuticas para que se possa apreender ontologicamente a vida através do que ele chama de interpretação privativa da vida. O desenvolvimento sistemático do sentido de ser da vida é apresentado por Heidegger na preleção Os conceitos fundamentais da metafísica : mundo, finitude, solidão, de 1929/1930. Nela, para apresentar o fenômeno da (...) vida, Heidegger parte da tese central de que todo vivente é organismo, de modo a desenvolver uma investigação ontológica em conjunto com pesquisas biológicas e zoológicas. Por conseguinte, após a explicitação dos modos de encontro com a natureza, será evidenciado como a natureza em sentido originário mostra-se a partir de um retraimento na abertura de mundo do ser-aí em sua relação com os organismos vivos. Palavras-chave: Heidegger; ontologia; hermenêutica da natureza; vida; mundo.: This article shows the hermeneutical approach performed by Martin Heidegger to the concepts of nature and life from the fundamental ontology. In Being and Time, Heidegger elaborates the hermeneutical conditions so that we can apprehend ontologically life through what he calls the private interpretation of life. The systematic development of the sense of being of life is presented by Heidegger in the lecture course The Fundamental Concepts of Metaphysics: World, Finitude, Solitude, of 1929/1930. In this lecture, to present the phenomenon of life Heidegger uses the central thesis that every living being is organism in order to develop an ontological investigation in conjunction with biological and zoological research. Therefore, after the explanation of the ways of meeting with nature, will be shown as nature in the original sense shows itself from a withdrawal in the world opening of the being-there in its relationship with living organisms. Keywords: Heidegger; ontology; hermeneutic of nature; life; world. (shrink)

ArgumentLudwik Antoni Birkenmajer (1855-1929), following along the paths pioneered by Leopold Prowe, Maximilian Curtze, Franz Hipler, and J. L. E. Dreyer, joined them as trailblazers of Copernican scholarship in the nineteenth century. Educated in the classics and mathematics, Birkenmajer began by examining more closely the Cracow background to Copernicus's development and studying his works and annotations in books he owned or read. Birkenmajer contributed many discoveries that eventually became common knowledge, and his studies loomed over Polish research on Copernicus into (...) the 1970s. Focusing on historical context and his original insights, the essay reminds readers of his contributions (sections 1–2), relates them to discussions of Copernicus's precursors (section 3), to the debate about Maragha precedents (section 4), his reading of theUppsala Notebook(sections 2 and 5), and his account of the origin of Copernicus's heliocentrism (section 6). By means of a more critical assessment of his interpretation, the essay revises earlier accounts, rescuing the original insights that mark Birkenmajer's most important contributions to current debates and his efforts to reconstruct Copernicus's path to heliocentrism. (shrink)