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)

IN the last decade deliberative democracy has developed rapidly from a “theoretical statement” into a “working theory.”1 Scholars and practitioners have launched numerous initiatives designed to put deliberative democracy into practice, ranging from deliberative polling to citizen summits.2 Some even advocate deliberation as a new “revolutionary now.”3 Deliberative democracy has also experienced the beginning of an empirical turn, making significant gains as an empirical (or positive) political science. This includes a small, but growing body of literature tackling the connection between (...) the normative standards of deliberation, how well they are met, and the empirical consequences of meeting them.4 This trend has, for instance, included the use of methods and frameworks borrowed from other fields, such as political and social psychology. Such studies suggest that cases approaching ideal deliberation are rare, but that group interaction sometimes works surprisingly well according to such ideals.5. (shrink)

The present paper offers a reflection on school textbooks produced and introduced by the Palestinian Authority in the West Bank and Gaza Strip from the year 2000 onward. The aim is to examine the debates over these textbooks, by situating them over the backdrop of larger geopolitical dynamics and intra-Palestinian social and political struggles.

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)

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.

Este artigo é parte de um estudo mais amplo que tem como eixo a formação das noções comuns e a definição da razão na Ética de Espinosa. Neste artigo, examino a questão a partir da leitura de Gilles Deleuze em Espinoza e o problema daxpressão.

Biografische en ideehistorische vergelijking tussen de dichter en sprookjesschrijver Hans Christian Andersen (1805-1875) en de filosoof Søren Kierkegaard (1813-1855),met ook aandacht voor hedendaagse vragen over onder meer geloof en wetenschap.

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.

L'espace économique s'est profondément modifié au cours des vingt dernières années en raison, bien sûr, de la mondialisation, niais aussi de la déréglementation de nombreuses économies parmi les plus influentes du monde. D'une économie empirique de travail, nous sommes ainsi passés à une économie virtuelle de spéculation avec, à la clé, un recul de l'éthique au profit de logiques financières. C'est pour contrer les effets néfastes de cette financiarisation de l'économie que le mouvement de la finance socialement responsable s'est développé, (...) ses tenants utilisant les leviers économiques, en l'occurrence de nombreux fonds de placement, pour faire pression sur les décideurs et les orienter vers des avenues plus responsables. Ce livre présente le regard d'un philosophe et d'une sociologue sur ce mouvement. Les auteurs définissent les origines de la finance socialement responsable, pour ensuite exposer ses pratiques et ses stratégies, dresser un portrait de ses principaux acteurs et proposer des pistes de réflexion sur la dimension éthique de la finance ainsi que des outils pertinents aux pratiques des financiers. Il s'agit d'une introduction indispensable à tous ceux qui souhaitent s'initier au mouvement de la finance socialement responsable et qui recherchent des avenues éthiques en matière de développement économique. (shrink)

DRACO.WOLFANDDOTCOM.INFO is an interactive proto-videogame installation that immerses users, personified as abstract dragons in a cathartic, stochastic, full-body immersive videogame experience, in cyberspace. The work attempts to playfully shift user consciousness towards non-human embodiment, by real-time 3D meshing the data from the human body into a mirrored abstract, ill-defined dragonic 3D shape. It gifts humans with special virtual powers, such as flying and cusping fireballs, as they fight for their progression in the game-space and facing annihilation, through invisible, interactional camera-based (...) technologies which will be exposed in this paper. Inside the piece’s virtual world, users play as endangered dragons in the XXIst century populated by companies, websites and humanoids eager to stop the mythological beasts. The dragons progress in the game-space by inflicting damage upon the city’s landscape. The stochastic game-space ascends in difficulty as the levels progress, slowly changing the joystick’s response into faster speeds and generating larger city-scapes, inducing the game’s ultimate goal of a cathartic ilinxian state of disruption and otherness in human perception. (shrink)

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)

Loin de pouvoir être réduit à son acception contemporaine, notamment heideggérienne, le concept de finitude est un concept traditionnel. Tel est le constat qui anime cette recherche dont l'objectif est de mettre au jour certaines de ses figures dans l'histoire de la pensée. Il s'agit, en évitant toute interprétation préconçue, d'étudier, sans prétendre à l'exhaustivité, comment ce concept, d'abord présent de façon explicite dans la pensée chrétienne des premiers siècles, se renouvelle ensuite tout au long de l'histoire de la pensée. (...) Le concept de finitude apparaît inauguralement chez Grégoire de Nysse, le théologien fondamental de l'infinité divine, pour qui " le fini " - to peratoumenon - est marqué par l'imperfection radicale de ne pas être Dieu. L'essence du fini est alors pensée grâce à la liaison platonicienne entre être et non-être. Appartenant au domaine général du fini, l'homme est en effet séparé de l'être véritable, mais il possède aussi un être propre : cette double caractéristique est une constante de l'approche chrétienne du fini, que Thomas d'Aquin exprime dans le concept d'ens finitum " participant " de l'être sans restriction dans sa restriction même. Refusant la discontinuité médiévale entre l'étant fini et son créateur, encore à leurs yeux présente chez Descartes, Leibniz et Spinoza renouvellent le concept de fini par leur ambition commune d'une rationalité infinie du fini, le premier au travers de la notion de " substance finie " dérivée de l'infini, le second par celle de " mode fini ", affection de la substance infinie. C'est contre de telles approches de la finitude que la philosophie critique réagit : " l'être raisonnable fini " de Kant est un sujet originaire et ne peut donc trouver aucun appui dans une rationalité infinie. L'idéalisme allemand entreprend de dépasser cette finitude kantienne à partir de Kant lui-même, en repensant la subjectivité transcendantale. La question du statut à accorder à la finitude - Endlichkeit - est au cœur des controverses qui l'animent. Heidegger reprendra d'abord, non sans hésitation, ce concept d'Endlichkeit, ancré dans la tradition occidentale, en parlant d'une " finitude du Dasein ", puis d'une " finitude de l'Être ", mais le poids historique d'un tel concept lui apparaîtra rapidement incompatible avec la nouveauté de sa pensée. Il ressort de cette étude que la question de la finitude consiste moins à se demander si l'homme est ou non un être fini que de déterminer de quelle finitude il est fini. Cette détermination est historiquement et philosophiquement décisive car elle concerne l'essence de l'homme, qui peut et doit " se connaître lui-même ". (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)

Drawing on a half century of scholarship, of Polish studies of Copernicus and Cracow University, and of Copernicus's sources, this book offers a comprehensive re-evaluation of Copernicus's achievement, and explains his commitment to the ...

According to André Orléan, the characteristics of the economical sciences dead ends in the analysis of Jacques Sapir, is the desire expressed by the orthodox movement to radically split up from the social sciences in order to establish the economical science as autonomous. André Orléan also points out Jacques Sapir-,s criticism to his book The monetary violence, according to which it induces a form of monergol essentialism that would render the currency an essential and contradictory social relation.

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.