La réflexion Benthamienne sur les mathématiques

In 1814, Jeremy Bentham began to writeChrestomathia; this work is a presentation of what is useful to learn. However this text is, more generally, an entire organization of the knowledge of his time, through developing a «theory of fictions», which is a reflexion on concepts and a critics of nomenclatures. The following essay focuses on the fifty pages refering to mathematics in a work that considers the integrality of sciences at the beginning of the xix^th century and criticizes the FrenchEncyclopédie of Diderot and D’Alembert. A most singular idea expressed by the author, indirectly echoed by Gaston Bachelard through some books, is the conflict between concepts and their being designated by words. Signified, signifying entities and concepts are reciprocally adrift so that nobody, even the scholar, can keep control of these motions; what makes education unceasingly difficult.     

L'arrivée des premiers métallurgistes sur l'Ogooué, Gabon

Résumé Au Gabonca 2400–2300 BP, les dernières cultures néolithiques des savanes de la moyenne vallée de l'Ogooué, succombent face à une rapide expansion de populations porteuses de fer. Cet événement, identifié sur des critères céramologiques et des mesures radiométriques, paraît situer l'arrivée des premiers métallurgistes — probablement Bantu — sur les berges de l'Ogooué.

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In the savannas of the middle stretches of the Ogooué valley in Gabon,ca 2400–2300 bp, the last neolithic cultures succombed to the rapid expansion of ironworking populations. This event, identified on ceramic criteria and radiocarbon dates, may represent the arrival of the first Bantu ironworkers on the banks of the Ogooué.

     

Quelques repéres historiques sur la théorie des jeux

Résumé  L'article s'attache à dégager le fil rouge qui relie les réflexions de Wilhelm Gottfried Leibniz sur les jeux de société à la théorie des jeux, telle qu'on la trouve dans l'ouvrage de John Von Neumann et Oskar Morgenstern. L'itinéraire décrit passe par les travaux de plusieurs mathématiciens du XVIII^e siècle sur différents jeux de hasard, pour aboutir aux recherches de quelques-uns des fondateurs des mathématiques modernes, comme Ernst Zermelo pour la théorie des ensembles et émile Borel pour la théorie des probabilités. II montre comment une analyse mathématique des jeux de société a débouché sur l'élaboration d'une grille générale d'analyse des phénomènes sociaux. Son cheminement révèle, en outre, la longue parenthèse du XIX^e siècle où ce programme s'est trouvé abandonné et esquisse, en conclusion, quelques hypothèses pour l'expliquer. The paper strives to find the clue which links Leibniz' thoughts on parlour games to the mathematical theory of games in John Von Neumann and Oskar Morgenstern.Magna opera the way goes through the works of several XVIII^th century mathematicians on various games of chance to reach the research of some of the modern mathematics founders, as Ernst Zermelo for the sets theory and émile Borel for the theory of probabilities. The paper shows how a mathematical analysis of parlour games ends at a general framework to study the social phenomena. Its development also reveals how this research program has disappeared, all along the XIX^th century, and suggests, in conclusion, some tentative explanations of this development. Une version préliminaire de cet article a été publiée dans la revue de l'Association historique des élèves du lycée Henri IV,Jeu et histoire, n^o spéc.:L'émoi de l'histoire, 25–26, printempsautomne 2002, p. 94–115.     

Le crépuscule des Dieux: Regards sur le polythéisme hindou et l'athéisme bouddhique (XVIIe‐XIXe siècle)

From the Age of Classicism to the Age of the Enlightenment. Indian heathendom (that is to say, Hinduism as it was perceived in those times) provided Europe with the spectacle of an incomparable profusion of polytheism. But if India appeared as the living sanctuary of countless divinities, it had also been the cradle of Buddhism which disappeared from its native land to spread over an immense part of Asia. Buddhism was conceived of as an “absolute atheism”; whose fundamental doctrine — the famous nirvana — was considered to be a form of nihilism which had no equivalent in the history of the human mind. Thus, the historiographical discourse on religious matters in India fits into a triad‐like structure in which atheism plays a pivotal role between monotheism and polytheism. A long time after the scholarly discovery of Hinduism and Buddhism, the archaic aspect of this discourse constantly reveals itself in the residual nature of the myth of the double doctrine and the persistence of the theme of the Monster. For philologists and historians of religions until the beginning of the twentieth century, Indian excesses in the religious domain continue to constitute a violation of Reason and Nature.     

Considérations sur une technique du Rasāyana āyurvédique

Summary Rejuvenation techniques, inspired by a common classical tradition, are described in Caraka (Cikits I, 1–4) and in Suruta (Cikits XXVII–XXX), followed up by the Nvantaka (Bower Ms., sl.188–200) and by the Astngahrdayasamhit (Uttara XXXIX). Valuable mediaeval tk comment on the details of these techniques and indeed interesting modern examples of a treatment closely following the ancient medical texts are known.[Contrary to the cure taking place in the open air and in the sun (vttapika), the practice of rejuvenation characterized by the ku is applied indoors in premises called kut or gra, built according to definite rules (site, architecture, etc.). The patient enters at a time astrologically auspicious, after performing certain rites and preparing his mind for a treatment which is as perilous as it is laborious.The rites of the operation and the unusual type of abode, difficult to interpret, permit, however, an examination of the textual data in a different light from that of the scholiasts themselves, who remain very guarded, and even obscure, on important points of detail. Here one must presume an initiation ceremony whose method was used for the legendary sages as well as patients of today. The technique which is called retreat in a hut implies the idea of regressus ad uterum. Rejuvenation which constitutes, from the biological point of view, a regeneration of the body (kyakalpa) must be considered on the symbolical plane as a new birth: the patient is assimilated to the embryo, and to the uterus correspond both the hut described in the classical yurvedic treatises and the dark enclosed premises recommended by the modern kavirj.

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Texte intégral dont fut tirée la communication présentée au séminaire Médecine et pharmacopée en Asie, organisé dans le cadre du XXIX^e Congrès international des orientalistes, qui a eu lieu à Paris, du 16 au 22 juillet 1973. Voir le texte abrégé dans XXIX ^e Congrès international des orientalistes. Résumés des communications [IV]: Section 11, Colloques, Séminaires, [Nogent s/Marne 1973 ], pp. 46–47.     

Mise au point sur l'idée du Grand Louvre

Les ‘grands projets’ d'architecture réalisés par François Mitterrand représentent sa volonté de marquer son époque avec une empreinte culturelle et de s'inscrire personnellement dans l'Histoire française de façon permanente, traduisant par ce biais une forte présidentialisation du domaine de la culture. Malgré sa préférence personnelle très marquée parmi les nombreux projets pour celui du Grand Louvre, décelée à travers son suivi très attentif de sa réalisation, Mitterrand s'est curieusement défendu en public, d'en avoir eu l'idée initiale. La paternité de ce projet est ainsi devenue un sujet de controverse dans le milieu culturel parisien, qui semble finalement avoir tranché en faveur du ministre de la Culture, Jack Lang, qui lui aurait soufflé l'idée. Vingt ans après l'inauguration de la nouvelle aile Richelieu par le président en novembre 1993, cet article cherche à élucider cette controverse, en s'appuyant sur des archives présidentielles et ministérielles ainsi que sur de nombreux entretiens d'acteurs de l'époque. L'analyse qui en résulte révèle à quel point la transparence peut se perdre dans les complexités du processus décisionnel en politique, surtout en ce qui concerne François Mitterrand, qui cultivait l'ambigüité dans ses propos afin de mieux gérer son entourage et son héritage politiques.     

Les échelles de temps sur les marchés financiers

Modern financial modelling massively implements scaling laws to describe market fluctuations, with the use of stochastic processes in stock market price behavior equations. Scaling laws, which already existed as an implicit part of Brownian motion although notperceived at such, habe become increasingly and explicitely important, since the financial markets regulatory authorities have drawn the attention of the banking industry to the risk control issued posed by the ineffective current valuation achieved using the classical Gaussian distribution. The différent elements surrounding this debate are developed based around Mandelbrot's fractal models, which have underlined the main modelling conflicts of the behavior of stock market prices over the last forty years. I demonstrate that the root of the problem of whether scaling laws exist is the more fundemental issue of the nature of market time.     

Médecine et Discours sur L’Homme dans la Première Modernité

In the 16^th and 17^th centuries, medical knowledge was anthropological in so much as it produced a discourse on man whose ambition and legitimacy needed no justification. Underwritten by the belief that the body was an object of science, the epistemic horizons of a doctrina de homine emerged from the interaction of medical practice, particularly anatomy, with philosophy and theology in a specific framework - the reorganization of knowledge in Europe over the “long 16^th century”.     

Caméras sur le Terrain Enquêter Pendant un Tournage

Can sociologists and journalists share a given field of investigation? What are the consequences on a sociological investigation of group of working class advanced students when a film crew is there to shoot a documentary about them at the same time ? This article offers an analysis of collaboration of the journalists and the sociologist - it depicts the varied responses by the students to the shooting of the documentary, and shows what effects these responses had on the sociologist’s investigation. Doing so, the article demonstrates that this collaboration yields significant explanatory results even it is a difficult one.     

Former le citoyen de la république naissante retour sur une controverse aux origines de l’école républicaine

This paper looks at the original conflicting approach of the republican school, understood as a traning ground for citizenship. The separation between those who wish to develop a truly democratic school, and those who do not see in this objective a political priority for the emerging republic, embodies the most profound debate of this moment of political foundation of the Republican school. Behind the two visions of the Republican school (education vs instruction), two visions of Republican society are opposed. Further, in the controversy surrounding the nature of the school an opposition, later amplified, emerges between social Republicans and liberal Republicans