After the publication of Begriffsschrift, a conflict erupted between Frege and Schröder regarding their respective logical systems which emerged around the Leibnizian notions of lingua characterica and calculus ratiocinator. Both of them claimed their own logic to be a better realisation of Leibniz’s ideal language and considered the rival system a mere calculus ratiocinator. Inspired by this polemic, van Heijenoort (1967b) distinguished two conceptions of logic—logic as language and logic as calculus—and presented them as opposing views, but did not explain (...) Frege’s and Schröder’s conceptions of the fulfilment of Leibniz’s scientific ideal. -/- In this paper I explain the reasons for Frege’s and Schröder’s mutual accusations of having created a mere calculus ratiocinator. On the one hand, Schröder’s construction of the algebra of relatives fits with a project for the reduction of any mathematical concept to the notion of relative. From this stance I argue that he deemed the formal system of Begriffsschrift incapable of such a reduction. On the other hand, first I argue that Frege took Boolean logic to be an abstract logical theory inadequate for the rendering of specific content; then I claim that the language of Begriffsschrift did not constitute a complete lingua characterica by itself, more being seen by Frege as a tool that could be applied to scientific disciplines. Accordingly, I argue that Frege’s project of constructing a lingua characterica was not tied to his later logicist programme. (shrink)

It is well known that the formal system developed by Frege in Begriffsschrift is based upon the distinction between function and argument—as opposed to the traditional distinction between subject and predicate. Almost all of the modern commentaries on Frege's work suggest a semantic interpretation of this distinction, and identify it with the ontological structure of function and object, upon which Grundgesetze is based. Those commentaries agree that the system proposed by Frege in Begriffsschrift has some gaps, but it is taken (...) as an essentially correct formal system for second-order logic: the first one in the history of logic. However, there is strong textual evidence that such an interpretation should be rejected. This evidence shows that the nature of the distinction between function and argument is stated by Frege in a significantly different way: it applies only to expressions and not to entities. The formal system based on this distinction is tremendously flexible and is suitable for making explicit the logical structure of contents as well as of deductive chains. We put forward a new reconstruction of the function-argument scheme and the quantification theory in Begriffsschrift. After that, we discuss the usual semantic interpretation of Begriffsschrift and show its inconsistencies with a rigorous reading of the text. (shrink)

In contemporary historical studies, Peano is usually included in the logical tradition pioneered by Frege. In this paper, I shall first demonstrate that Frege and Peano independently developed a similar way of using logic for the rigorous expression and proof of mathematical laws. However, I shall then suggest that Peano also used his mathematical logic in such a way that anticipated a formalisation of mathematical theories which was incompatible with Frege’s conception of logic.

In contemporary historical studies, Peano is usually included in the logical tradition pioneered by Frege. In this paper, I shall first demonstrate that Frege and Peano independently developed a similar way of using logic for the rigorous expression and proof of mathematical laws. However, I shall then suggest that Peano also used his mathematical logic in such a way that anticipated a formalisation of mathematical theories which was incompatible with Frege’s conception of logic.

In Begriffsschrift, Frege presented a formal system and used it to formulate logical definitions of arithmetical notions and to deduce some noteworthy theorems by means of logical axioms and inference rules. From a contemporary perspective, Begriffsschrift’s deductions are, in general, straightforward; it is assumed that all of them can be reproduced in a second-order formal system. Some deductions in this work present—according to this perspective—oddities that have led many scholars to consider it to be Frege’s inaccuracies which should be amended. (...) In this paper, we continue with the analysis of Begriffsschrift’s logic undertaken in an earlier work and argue that its deductive system must not be reconstructed as a second-order calculus. This leads us to argue that Begriffsschrift’s deductions do not need any correction but, on the contrary, can be explained in coherence with a global reading of this work and, in particular, with its fundamental distinction between function and argument. (shrink)

"Mille Plateaux (Paris, Éditions de Minuit, 1980) est le second des deux volumes ayant pour sous-titre Capitalisme et schizophrénie issu de la collaboration entre le philosophe Gilles Deleuze et le philosophe et psychanalyste Félix Guattari. Cet ouvrage continue à explorer par des voies inédites - en s'attaquant notamment à une série d'erreurs afférentes selon les auteurs à l'arborescence, à l'État, au langage ... - la question déjà avancée dans L'Anti-Œdipe (premier volume) d'une ontologie révolutionnaire des devenirs ("presque imperceptibles") qui ne (...) cessent de défaire l'histoire des identités ("primauté des lignes de fuite") et de produire des "coups" imprévisibles au sociologue et au militant. Sans doute le livre politique de Deleuze et Guattari le plus important, grâce à sa conception originale du pluralisme (l'individu n'y est pas conçu comme fondement de l'organisation sociale : les subjectivités sociales sont toujours au-dessus ou en dessous du niveau de l'individu, composant et décomposant des collectivités de toutes sortes)"--Wikipedia = Mille Plateaux (Paris: Editions de Minuit, 1980) is the second of two volumes which comes in the series of Capitalism and Schizophrenia is a result of collaboration between the philosopher Gilles Deleuze and Felix Guattari, philosopher and psychoanalyst. This book continues to explore new paths - including addressing a series of errors by the authors related to the tree, the state, the language ... - that are already dealt with in Anti-Oedipus (first volume) of an ontology of revolutionary futures; the latter continues to unravel the history of identities ("primacy of lines of flight") and produce "coups" unforeseeable to the sociologist and activist. No doubt the political book of Deleuze and Guattari's is the most important, with its original conception of pluralism (the individual is not conceived as the foundation of social organization: social subjectivities are always above or below of the individual level, composing and decomposing communities of all kinds).". (shrink)

Selon une psychologie empiriste, aucune vie mentale inconsciente n'existe ; la conscience devrait être vue comme intérieure au sujet. Au contraire, la psychologie idéaliste soutient une philosophie de l'inconscient (et non pas de l'inconscience). La multiplicité et la finalité ne sont pas représentables comme des produits de l'évolution ou du destin des individus ; notre image du monde est conscience du monde. Nietzsche (1874), le premier, réagit contre cette thèse ; il y voit un tourbillon de consciences étroites : "l'homme (...) historique qui se laisse transformer en miroir historique." La psychologie idéaliste tendrait-elle vers une idolâtrie de l'histoire ? Il nous semble qu'une éthique et une philosophie sociale idéalistes, bâties sur les principes du droit, aident à former des hypothèses plausibles, notamment celle d'une solidarité inconsciente. L'expérience moniste d'unité entre notre représentation et notre volonté peut plaider pour une compréhension du monde sur le terrain de valeurs axiologiques, sans maladie historique. Elle explique une soif universelle de culture et de religion. Réexaminons l'utilité et l'inconvénient d'élargir la reconnaissance réciproque des sujets, vers un don de soi au monde. (shrink)

For each natural number n, let C (n) be the closed and unbounded proper class of ordinals α such that V α is a Σ n elementary substructure of V. We say that κ is a C (n) -cardinal if it is the critical point of an elementary embedding j : V → M, M transitive, with j(κ) in C (n). By analyzing the notion of C (n)-cardinal at various levels of the usual hierarchy of large cardinal principles we show (...) that, starting at the level of superstrong cardinals and up to the level of rank-into-rank embeddings, C (n)-cardinals form a much finer hierarchy. The naturalness of the notion of C (n)-cardinal is exemplified by showing that the existence of C (n)-extendible cardinals is equivalent to simple reflection principles for classes of structures, which generalize the notions of supercompact and extendible cardinals. Moreover, building on results of Bagaria et al. (2010), we give new characterizations of Vopeňka’s Principle in terms of C (n)-extendible cardinals. (shrink)

To what extent does perceptual language reflect universals of experience and cognition, and to what extent is it shaped by particular cultural preoccupations? This paper investigates the universality~relativity of perceptual language by examining the use of basic perception terms in spontaneous conversation across 13 diverse languages and cultures. We analyze the frequency of perception words to test two universalist hypotheses: that sight is always a dominant sense, and that the relative ranking of the senses will be the same across different (...) cultures. We find that references to sight outstrip references to the other senses, suggesting a pan-human preoccupation with visual phenomena. However, the relative frequency of the other senses was found to vary cross-linguistically. Cultural relativity was conspicuous as exemplified by the high ranking of smell in Semai, an Aslian language. Together these results suggest a place for both universal constraints and cultural shaping of the language of perception. (shrink)

Decisions about targeting medical assistance in humanitarian contexts are fraught with dilemmas ranging from non-availability of basic services, to massive demographic and epidemiological shifts, and to the threat of insecurity and evacuations. Aid agencies are obliged, due to capacity constraints and competing priorities, to clearly define the objectives and the beneficiaries of their actions. That aid agencies have to set limits to their actions is not controversial, but the process of defining the limits raises ethical questions. In MSF, frameworks for (...) resource allocation are subject to constant reflection and reiteration, and perspectives are sought at all levels, from implementers at the programme level to the operational directors at headquarters. The perspectives of the programmes staff hold considerable weight as they have the knowledge and experience with particular communities to assess the degree of vulnerability and need, and are also the people who ultimately have to give explanations to beneficiaries when changes or closures are going to be instituted. Humanitarian agencies have a responsibility to ensuring that their workers are prepared to reflect on these dilemmas, and challenge the status quo when it costs lives. (shrink)

La religion, qui a irrigué la culture occidentale pendant deux mille ans, perd son influence sur tous les plans. La chrétienté ne se retire pas seule, mais avec elle ses fruits sécularisés, qui constituaient une architecture signifiante. Quel est le destin de notre représentation du monde à forée de cet effacement? Certains désignent le relativisme, voire le nihilisme. qui s'instaurent dans l'oubli des référents fondateurs. Ce livre veut montrer que le nihilisme n'est qu'une brève transition, que le relativisme reflète une (...) apparence. L'époque présente atteste plutôt la réinstauration de modes d'être et de pensée comparables à ceux qui précédèrent l'Occident chrétien et à ceux qui se déploient partout hors l'Occident chrétien : des sagesses et des paganismes, déjà à l'ouvre sous la texture déchirée de nos anciennes convictions. transcendantes ou immanentes. Ces sagesses se nourrissent de renoncement, lequel forme aujourd'hui l'essentielle disposition de notre esprit. Renoncement à la quête de la vérité, renoncement au progrès, à la royauté de l'homme, à la liberté personnelle. Les conséquences en sont, par un lent processus, le remplacement du vrai par le bien, des dogmes par vies mythe, du temps fléché par un retour au temps circulaire, du monothéisme par le paganisme ou le panthéisme, de l'humanisme de liberté par un humanisme de protection, de la démocratie par le consensus, de la ferveur par le lâcher prise. C'est une métamorphose radicale, et ce renoncement est un retournement, non seulement de nos pensées, mais aussi de nos modes d'être et de nos institutions. Après une histoire de deux mille ans, sous de multiples signes réapparaît l'appel à une résignation sereine dont les hommes sans Dieu n'ont jamais cessé de rêver. (shrink)

Although J. S. Mill′s essay On Liberty was intended by its author to be read as a self-contained work, 1 and even though a careful reading would justify seeing it in this way, it has far too often been denied this right even by its defenders. There is a crucial distinction to be made between eliciting some point of substance from a particular work by an author and then turning to the rest of his work to throw further light on (...) it, and employing other texts from the corpus of his writings to put the construction on certain things said in it which the work by itself cannot sustain, thus treating the former as essentially a fragment, albeit a most important fragment, of a whole. 2 I would suggest that recourse to the latter course is justified only when the possibilities of treating it autarchically have already been explored. In this paper I propose to treat a celebrated text in the former way only because I believe that the results will show such an approach to be uniquely worthwhile, or at least fruitful enough to justify a paper conceived in this way. And, with a view to putting what I want to say about it in maximum focus I shall with one or two exceptions eschew giving supporting evidence from Mill′s other writings, even when this is permitted by the distinction I have made in this opening paragraph. (shrink)

Ce recueil rassemble les textes des communications faites au deuxième séminaire de la « Escuela interlatina de altos Estudios en Lingüística aplicada », qui s’est tenu à San Millán de la Cogolla en septembre 2000 et dont le thème, en cette année mondiale des mathématiques, était précisément : Matemáticas y Tratamiento de Corpus. Après un prologue assez général de A. M. Municio, les vingt exposés sont répartis en quatre chapitres correspondant aux différentes sessions du séminaire : 1. Quanti..

School violence is a burning issue these days. This book provides an in-depth analysis of violence prevention programs and an assessment of their effectiveness, using data from observations, individual interviews, and focus groups, as well as published data from the schools. It is distinguished by its focus on the cultural and structural context of school violence and violence prevention efforts. Where most other researchers use quantitative measures, such as surveys, to assess the effectiveness of violence prevention programs, the authors of (...) this book use qualitative research and ethnography to study the environment where such programs take place. Thus, this work--one of only a few ethnographic studies of violence prevention programs in schools--links previous quantitative research on the topic and critical ethnography. _Preventing Violence in Schools: A Challenge to American Democracy_: *includes voices of school students, accused of practicing violence, who have been participants in violence prevention programs; *analyzes a citywide peer mediation program ; *examines the kinds of violence recognized in schools and the ways schools themselves may perpetuate violence; and *describes a violence prevention program for students at an alternative school. _Preventing Violence in Schools: A Challenge to American Democracy_ is highly relevant for students in courses on urban education, foundations of education, education and social policy, youth and the law, and qualitative research, and for teachers, administrators, and other professionals, such as school psychologists and guidance counselors, at the middle and high school levels. (shrink)

El humanismo, asociado históricamente a la educación –la paideia griega- merece ser repensado y recuperado para la educación en un momento de cambio tecnológico tan acelerado y tan influyente en la condición humana que ya hay quien habla de “transhumanismo”. Se analiza la riqueza polisémica de la noción de humanismo y el valor de la formación humanística al servicio de la justicia; y finalmente, su valor como aprendizaje del goce mismo de vivir. En suma, su alto valor educativo. Palabras clave: (...) Humanismo, educación, transhumanismo, justicia, goce de vivir. (shrink)

La cessation hebdomadaire du travail le dimanche est de plus en plus contestée dans notre société. Si les exigences économiques rendent nécessaire le fonctionnement ininterrompu des machines, il faudrait assurer à chaque employé un autre jour de repos. Peut-on alors définir le dimanche comme jour de repos commun à la majorité de la société ? Les chrétiens ont l’habitude de se prononcer en faveur du repos dominical en rappelant le commandement du Décalogue : «Observe le jour du sabbat ». Or (...) cet argument n’est pas pertinent pour des raisons historiques et herméneutiques. Il est toutefois possible de tirer de ce commandement, en particulier de sa version deutéronomique (Dt 5,12-15), des arguments susceptibles d’enrichir les débats d’aujourd’hui. (shrink)

L'État actionnaire de la télévision publique est soucieux du rendement social de son investissement. Les programmes des chaînes publiques doivent être globalement vus par le plus grand nombre. Mais en même temps, chaque entité du service public doit respecter un cahier des charges et ne peut être une simple addition de «pièges à audience». Au programmateur de gérer ces paradoxes en forgeant une grille qui s'appuie sur ces contraintes et affirme la relation particulière de chaque chaîne avec le public. L'audience (...) est la récompense d'une programmation généreuse, qui prend des risques et produit du sens. La grille de France 3 s'est construite autour des concepts de proximité et de curiosité; France 2 doit être une grande chaîne de divertissement, d'information et de création; France 5 est une chaîne pédagogique qui tente d'apporter à certains publics qui en ont besoin , des clés pour mieux comprendre la réalité de tous les jours.As the main shareholder in public television, the State is of course concerned by the level of social profit in return for its investment. Overall, public channels' programme schedules should be seen by the largest audience possible. But at the same time, each public channel has to respect certain obligations and cannot be a simple accumulation of "audience traps". It is the programmer’s responsibility to manage these paradoxes when constructing a schedule which should be based on these very constraints while affirming each channel's particular relationship with its audience. High audience ratings are the reward for generous scheduling in which risks are taken and a certain meaning is produced. France 3's programming was built around the concepts of proximity and curiosity; France 2 is intended to be a major entertainment, information and creation channel; France 5 is an educational channel aiming to bring keys to better understand everyday reality to certain audiences who need it, particularly young people. (shrink)