Is calculation possible without language? Or is the human ability for arithmetic dependent on the language faculty? To clarify the relation between language and arithmetic, we studied numerical cognition in speakers of Mundurukú, an Amazonian language with a very small lexicon of number words. Although the Mundurukú lack words for numbers beyond 5, they are able to compare and add large approximate numbers that are far beyond their naming range. However, they fail in exact arithmetic with numbers larger than 4 (...) or 5. Our results imply a distinction between a nonverbal system of number approximation and a language-based counting system for exact number and arithmetic. (shrink)

The mapping of numbers onto space is fundamental to measurement and to mathematics. Is this mapping a cultural invention or a universal intuition shared by all humans regardless of culture and education? We probed number-space mappings in the Mundurucu, an Amazonian indigene group with a reduced numerical lexicon and little or no formal education. At all ages, the Mundurucu mapped symbolic and nonsymbolic numbers onto a logarithmic scale, whereas Western adults used linear mapping with small or symbolic numbers and logarithmic (...) mapping when numbers were presented nonsymbolically under conditions that discouraged counting. This indicates that the mapping of numbers onto space is a universal intuition and that this initial intuition of number is logarithmic. The concept of a linear number line appears to be a cultural invention that fails to develop in the absence of formal education. (shrink)

Kant argued that Euclidean geometry is synthesized on the basis of an a priori intuition of space. This proposal inspired much behavioral research probing whether spatial navigation in humans and animals conforms to the predictions of Euclidean geometry. However, Euclidean geometry also includes concepts that transcend the perceptible, such as objects that are infinitely small or infinitely large, or statements of necessity and impossibility. We tested the hypothesis that certain aspects of nonperceptible Euclidian geometry map onto intuitions of space that (...) are present in all humans, even in the absence of formal mathematical education. Our tests probed intuitions of points, lines, and surfaces in participants from an indigene group in the Amazon, the Mundurucu, as well as adults and age-matched children controls from the United States and France and younger US children without education in geometry. The responses of Mundurucu adults and children converged with that of mathematically educated adults and children and revealed an intuitive understanding of essential properties of Euclidean geometry. For instance, on a surface described to them as perfectly planar, the Mundurucu's estimations of the internal angles of triangles added up to ∼180 degrees, and when asked explicitly, they stated that there exists one single parallel line to any given line through a given point. These intuitions were also partially in place in the group of younger US participants. We conclude that, during childhood, humans develop geometrical intuitions that spontaneously accord with the principles of Euclidean geometry, even in the absence of training in mathematics. (shrink)

In his early essay on transcendence of the ego, Sartre attempted to follow Husserl’s Logical Investigations and to draw the consequences of his phenomenological criticism of subjectivity. Both authors have emphasized the elusiveness of the self as a result of intentionality of consciousness. However, Sartre’s analysis of ego led him quite far from Husserl’s philosophical project, insofar as it was somehow already raising the question about the moral nature of the self, and was thus establishing the basis of the conception (...) of moral consciousness that has been displayed later in Being and Nothingness. This article stresses the importance of such a turn in Sartre’s philosophy, which reorients him from a strict description of consciousness toward a moral assessment of the structure of the self. (shrink)

The first theory of confirmation that Carnap developed in detail is to be found in "Testability and Meaning". In this paper, he addressed the issue of a definition of empiricism, several years after abandoning the quest for a unique and universal logical framework supposed to be the basis of a clear distinction between the meaningful sentences of science and the pseudo-sentences of metaphysics. The principle of tolerance (according to which everyone is free to build up his own form of language (...) as he wishes) had been adopted near the end of 1932, at a time when it was already obvious to Carnap that a strictly verificationist criterion of meaning was inadequate. He therefore considered a variety of empiricisms and a variety of choices for the language of science. As Carnap put it, "there are many different possibilities in framing an empiricist language" and, correspondingly, several degrees of liberalization of the criterion of meaning. It was in this context that Carnap provided both a logical (syntactical) and an empirical analysis of confirmation (and of testing), before distinguishing requirements of different strengths which served the purpose of defining several versions of empiricism. (shrink)

Si l’on ramène la dialectique à son point de départ socratique, c’est-à-dire à une méthode purement interrogative, on est amené parallèlement à concevoir l’aporie en un sens radical : loin d’être due à des facteurs subjectifs tels que l’ignorance de la réponse, l’aporie, à proprement parler est une question objectivement indécidable, ce qui revient à dire, paradoxalement, qu’on ne peut la trancher que par une décision. On montre que la question du sens de l’être, au fondement de la métaphysique depuis (...) Aristote, offre ce caractère de la manière peut-être la plus exemplaire. (shrink)

Kant's account of Newtonian science in terms of a priori structures of the mind has been generally interpreted as too restrictive. If Newtonian science is an instantiation of the system of categories, then, in order to retain any value, they need to be dynamized in accordance with the development of science beyond Newton. This paper suggests that the restriction in best understood as Kant attempt to provide a primary matrix of sense for any possible natural science, inasmuch as it reflects (...) the "first idea" contained in the Copernican Revolution. (shrink)

Some common notions about analytic philosophy - that it is uniformly anti-metaphysical or indifferent to the history of philosophy - are clearly misconceived. However the impression that analytic philosophers are essentially linguistic philosophers is not entirely false and hence less easy to refute.

Michael Brodrick’s book, The Ethics of Detachment in Santayana’s Philosophy, constitutes a much-needed contribution to the field of American philosophy. Although it is common for contemporary authors to claim that their preferred philosopher has been misunderstood, few can do so with as much conviction as Broderick has done for George Santayana, “a great and unjustly neglected philosopher”.The overarching goal of Brodrick’s investigation is the presentation of a conceptual framework for an “ethics of detachment” fundamentally mediated by human finitude. Setting his (...) work in opposition to the contemporary ethical conceit of an “attachment” to life, progress, and perfection, Brodrick seeks to demonstrate “how... (shrink)

The studies gathered in this book attempt to fill a gap in the history of logic by stressing the importance of the works devoted to the question of logic in the tradition of thought inherited from...

Gaz de schiste, OGM, énergie nucléaire, cellules souches, changement climatique, efficacité des médicaments... La science, plus que jamais, suscite la méfiance, voire la défiance, des citoyens. Pour une large part, cela vient d'une incompréhension de ce qu'est la démarche scientifique. «A l'occasion du colloque de rentrée du Collège de France organisé à l'automne 2013, des scientifiques, des historiens, des juristes et des politiques se sont attachés à analyser et à clarifier les enjeux technologiques et scientifiques, en s'appuyant sur des exemples (...) concrets au coeur des débats les plus actuels : comment aborder dans une société démocratique le problème du renouvellement des énergies et du remplacement des énergies fossiles par des formes d'énergie moins polluantes, ou celui qui lui est lié du réchauffement climatique, ou encore celui des thérapies géniques, en utilisant de la façon la plus rationnelle possible ce que la science nous apprend, pour optimiser la réponse de la société aux défis qui lui sont posés?» S. H. (shrink)

Faire valoir un réalisme minimal c'est faire tenir ensemble deux exigences : celle d'un réalisme qui cherche à montrer que les relations exprimées par le langage n'existent pas seulement dans le langage, ni seulement dans l'esprit, mais qu'elles nous font connaître quelque chose du monde ; celle d'un nominalisme qui applique le rasoir d'Occam avec vigilance et refuse, non seulement de poser l'existence d'universels qui seraient des essences ou des propriétés, mais même de concevoir les relations elles-mêmes comme des réalités (...) existant dans un autre monde que celui des individus liés par elles. (shrink)

Some may consider the title outdated. It's a conscious choice, even if blasphemy no longer has the same relevance in modern societies, where religion is confined mainly to the private sphere. The study of blasphemy in various religious traditions teaches us that it is not simply a matter of uttering insults in the absence of the concerned person, namely the divine. It is a sin of the tongue, with social and even political dimensions. Secularization and the often uneasy coexistence of (...) religions have led to an epistemic shift from blasphemy to hate speech against the adherents of a given tradition. Not insulting others because of their convictions becomes an instrument of social cohesion and bolstering political power. The correct use of speech is not just a matter of etiquette or decency but also of the moral obligation to respect the equal dignity of all human beings. As early as the Christian Middle Ages, several theologians articulated ethical principles revolving around the proper guard of the tongue. This ethics of speech immerses us in a universe that goes beyond the frontiers of blasphemy. Their insights and the classification of the sins of the tongue they present can be used to highlight the standards by which hate speech and the culture of banishment should be judged. -/- . (shrink)

La conception fodorienne de la psychologie scientifique soulève les trois problèmes suivants qui peuvent, je crois, être résolus. La condition de formalité est-elle compatible avec l'existence de lois psychologiques intentionnelles ? L'atomisme sémantique est-il compatible avec le fonctionnalisme? L'atomisme sémantique est-il compatible avec la systématicité des pensées humaines? Dans les trois premières sections du présent article, j'essaie de résorber ces tensions. Dans la quatrième et dernière section, j'examine la conception des attributions de croyance développée par Fodor dans « Substitution Arguments (...) and the Individuation of Beliefs » selon laquelle la relation de croyance est une relation à quatre places entre une personne, un symbole , un rôle fonctionnel et un contenu propositionnel. Je fais valoir que Fodor est confronté à un dilemme : soit le rôle fonctionnel est un déterminant du contenu propositionnel, et Fodor doit rejeter l'atomisme sémantique; soit le rôle fonctionnel est un déterminant de l'efficacité causale d'un symbole, et il doit amender la condition de formalité.Fodor's views about scientific psychology raise three puzzles : Is the Formality Condition compatible with there being intentional psychological laws ? Is Content Atomism consistent with Fonctionalism? Can Content Atomism be reconciled with the claim that human thoughts are systematic? In the first three sections of this paper, I try and show how to solve the three puzzles. Finally, in the fourth section, I examine Fodor's recent view of belief-ascriptions in "Substitution Arguments and the Individuation of Beliefs" according to which the belief relation is a four place relation between a believer, a symbol token , a functional role and a propositional content. I argue that Fodor faces a dilemma : either the functional role is a determinant of content, in which case Fodor must reject Content Atomism; or it is a determinant of the causal efficacy of the vehicle, in which case he must amend his Formality Condition. (shrink)

Kant's philosophy must be understood nonnaturalistically and anti-psychologistically. Self-consciousness must be interpreted as preceding the distinction between different persons. Kant departs from the traditional idea that I thoughts are always mediated by a certain specific I sense or conceptualization of oneself. At the same time the so-called paradoxes of self-consciousness are resolved. The possibility of a pre-personal self-consciousness is what links the way all objects are given to finite beings to the way they are conceptualized by those beings. It serves (...) as the unifying basis for intuitions and concepts. Intuitions and concepts of objects are connected by their relation to a numerically identical self. ;The subject construed impersonally provides the frame for any possible experience and is one in the same in all possible experience. As such it can never be experienced as a distinct entity. It is the condition under which it is possible to have a point of view at all. One must be in a position to become conscious of the numerical identity of this logical subject of all representation if is to be possible to communicate indeed to compare and contrast representational contents at all. ;Self-consciousness is inherently empty and yet also necessarily in relation to contents of consciousness. This means that its numerical identity can only be sustained if all potential contents of consciousness present themselves to the self in such a way that they sustain the possibility of consciousness of the self as having a discrete empirical identity. Kant's argument in the First Analogy and the Refutation of Idealism fulfills this demand for a correlate to the numerical identity of pre-personal consciousness in the data presented to self-consciousness spatio-temporally. We must view self-construction and construction of objects existing outside of us as part of a single process which presupposes an impersonal self-consciousness. (shrink)

Based on the author's thesis, Universitae de Paris IV, 1976, submitted under title: Esquisse d'une philosophie du pratique.

Silvio Berlusconi constitue un phénomène original, et même un cas unique, puisqu'il est le seul chef d'entreprise du secteur des médias qui accède, à deux reprises, aux fonctions de Premier ministre dans une grande démocratie. L'arrivée au pouvoir du dirigeant de la grande entreprise de la communication répond à la crise de la représentation politique et inaugure dans l'Europe latine, une «néo-politique». Comme toute figure symbolique, l'image de Berlusconi est ambivalente et ne peut laisser indifférente. Si Berlusconi suscite tant de (...) réactions d'adhésion ou de rejet, c'est parce qu'il inscrit toute son activité publique dans l'espace de l'image, de la séduction et de l'émotion, plus que dans le champ rationnel et traditionnel de la représentation politique. Il sait être l'ordonnateur du débat public en le dramatisant autour de clivages simplistes, notamment pour ou contre l'État, pour ou contre l'impôt... Il promeut ainsi une politique faite de passions et de croyances, comme dans une fiction télévisuelle. Le phénomène ne relève pas pour autant du populisme, voire du « télépopulisme ».Silvio Berlusconi represents an original phenomenon, or even a unique case, in that he is the only company manager from the world of media who twice rose to the office of Prime Minister in a major democracy. The coming to power of the manager of this large media firm is an answer to the crisis of political representation; it ushers in a "neo-policy" in Latin Europe. Like any symbolical figure, Berlusconi's image is ambivalent and cannot leave indifferent. If Berlusconi gives rise to so many reactions of support or rejection, that is because he places his whole public activity in the field of image, seduction and emotion rather than in the rational and traditional field of political representation. He knows how to organize public debate by dramatizing it around simplistic divides, such as for or against State, for or against taxes... Thus he promotes politics built on passions ans beliefs, as in a television fiction. For all that, the phenomenon does not fall into populism, nor even into "telepopulism". (shrink)

Cette édition numérique a été réalisée à partir d'un support physique, parfois ancien, conservé au sein du dépôt légal de la Bibliothèque nationale de France, conformément à la loi n° 2012-287 du 1er mars 2012 relative à l'exploitation des Livres indisponibles du XXe siècle. Pages de début Introduction Chapitre 1 - Adieu à Hegel Chapitre 2 - La dialectique de l'Asie Chapitre 3 - « Le Capital » de Marx et son interprétation mathématique Chapitre 4 - Classes logiques et classes (...) sociales Chapitre 5 - Les moyens mathématiques de la sociologie Chapitre 6 - Ouvertureslogiques Références Pages de fin. (shrink)