Dans sa Catoptrique, Héron d’Alexandrie déduit la loi de la réflexion de la lumière en s’appuyant sur un principe inédit, le principe du plus court chemin. L’article, après avoir retracé les grandes lignes de la démonstration, s’attache à mettre en évidence l’originalité et la fécondité de la méthode utilisée. Le recours à un principe d’extrémalité pour rendre compte des phénomènes lumineux tranche avec l’approche qu’adoptera Ptolémée dans son Optique par exemple, et anticipe par certains côtés l’optique géométrique moderne, dont Héron (...) apparaît comme une sorte de précurseur involontaire. Mais au‑delà de l’aspect purement historique, l’article insiste sur la portée épistémologique majeure du principe héronien, et des principes d’extrémalité en général, qui s’inscrivent dans une tradition scientifique bien précise, et toujours actuelle, celle qui privilégie, au rebours de l’expérimentalisme et de l’instrumentalisme, la causalité finale et formelle dans l’explication des phénomènes et promeut en définitive les mathématiques au rang de principe ontologique fondamental. Dans cette perspective, la démarche suivie dans la Catoptrique révèle non seulement sa profonde modernité, mais pourrait bien apparaître comme une des plus emblématiques qui soient. (shrink)

Catastrophe theory has been sharply criticized because it does not seem to have practical applications nor does it seem to allow us to increase our power over Nature. I want to rehabilitate the theory by foregoing the controversy raised by scientists about its practical efficiency. After a short exposition of the theory's mathematical formalism and a detailed analysis of the main objections that have been raised against it, I argue that theory is not only to be judged on its practical (...) results, which are in fact limited, but also on its epistemological and philosophical implications. Catastrophe theory indeed represents a real revolution in science: it announces the coming of a more theoretical, less practical, science, having more to do with understanding reality than with acting on it, and, from that point of view, it may be considered as the modern philosophy of Nature. (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 Avertissement Introduction Première partie - La lecture heideggerienne de Platon I - L'être et la présence II - L'idéalisme platonicien III - Les décisions opérées dans le platonisme IV - L'évolution de la lecture (...) Heideggerienne de Platon Deuxième partie - Heidegger et l'histoire du platonisme I - Le platonisme ou le nihilisme de la tradition II - Nietzsche et Heidegger III - Le délaissement du platonisme ConclusionBibliographie Pages de fin. (shrink)

L'article montre que l'idée développée par Popper dans The Open Universe, et reprise par d'autres, selon laquelle la physique moderne serait foncièrement indéterminisme, repose en réalité sur une conception erronée du déterminisme. Popper n'a pas de mal à montrer que l'état initial d'un système n'étant jamais connu avec une précision absolue, il est impossible de prédire avec certitude son évolution future. Mais cela ne signifie pas pour autant que le déterminisme soit réfuté. Popper s'est attaqué à une des conséquences du (...) déterminisme, à savoir la prédictïbilité universelle, mais il laisse intact le coeur même de la doctrine du déterminisme, c'est-à-dire l'idée que chaque événement suit de manière univoque celui qui le précède. La mécanique classique est déterministe, la relativité restreinte est déterministe, et la mécanique quantique elle-même, à condition toutefois de laisser de côté l'épineux problème de l'opération de mesure, est déterministe. The article deals with an idea developed by Popper in The Open Universe, and supported afterwards by some others. Indeed, according to them, modern physics would be basically indeterministic. This idea rests in fact on a wrong conception of determinism. Popper has no difficulty in showing that, as the initial state of a system is never known with an absolute accuracy, one cannot predict with certainty what will come of it But that does not mean that determinism is refuted Popper has critized one of the consequences of determinism, that is universal predictibility, but he retains the main idea of the doctrine of determinism, which means that each event follows univocally the one which preceeds it. Classical mechanics is deterministic, special relativity is deterministic, and quantum mechanics itself is deterministic too, provided that the difficult problem of the act of measurement is put aside. (shrink)

La violation expérimentale des inégalités de Bell en mécanique quantique n'est pas un argument en soi suffisant pour invalider la logique classique et l'ontologie galiléenne. Les résultats expérimentaux démontrant cette violation restent parfaitement compatibles avec le réalisme et la localité. L'idée même d'une ontologie expérimentale est du reste hautement contestable, l'expérience ne pouvant contredire l'ontologie qui la conditionne. The experimental violation of Bell's inequalities in Quantum Mechanics is no argument per se sufficient enough to invalidate classical logic and Galilean ontology. (...) Experimental results proving such a violation remain absolutely compatible with realism and locality. The very idea of an experimental ontology is, besides, highly disputable, experience being unable to contradict the ontology by which it is conditioned. (shrink)

De 1830 à nos jours, la pensée allemande a été traversée par de nombreux courants : le marxisme, l'Ecole de Francfort, le néo-kantisme, la phénoménologie... Au-delà de cette diversité apparente, l'auteur met en évidence certains thèmes récurrents qui témoignent d'une spécificité et de la vitalité de la pensée allemande.

Since the beginning of the War on Terror, Israel has become increasingly salient to imperial strategy and ever more aggressive in its policies toward the Palestinians. In this context, a key ideological weapon is the cynical accusation of "anti-Semitism." For historical reasons, this has been deployed most forcefully in France, and Alain Badiou and Eric Hazan caustically demolish the "anti-Semitism is everywhere" allegation, used to bludgeon opponents of the Israeli state and those who stand in solidarity with the banlieue (...) youth. Ivan Segre undertakes a meticulous deconstruction of a rampant "reactionary philo-Semitism" that identifies Jewish interests with the "democratic West.". (shrink)

Against the backdrop of an alarming rise in authoritarianism and the crisis of liberal democracy, few would consider extoling the virtues of politics today. Yet in this lively dialogue with journalist Aude Lancelin, leading French thinker Alain Badiou argues that it is precisely through politics that humanity can still achieve its most ambitious aims. As power becomes ever more concentrated in the hands of the state and global corporations, the role of the citizen is reduced to little more than (...) ritual. But Badiou emphasizes that politics is concerned not just with power and the state, but also with justice. So the central question of politics is “What is a just power?”, and the debate over politics is fundamentally about the norms to which power is subject and its relationship to a community – a community that is able to take control of its own destiny and provide its own direction, based on a shared standard of justice. This engaging dialogue, in which Badiou articulates his view of politics with exceptional clarity, will be of great value to anyone interested in radical politics today. (shrink)

La philosophie est aujourd'hui possible, dans la plénitude de son ambition. La philosophie elle-même, telle que l'entendait Platon.Ce qui a entraîné son éclipse au XIXe siècle, c'est qu'elle s'est identifiée, « suturée », tour à tour à un seul des champs où se pose, par-delà le savoir, une vérité : le scientifique (positivisme), le politique (marxisme), puis, avec Nietzche et plus encore Heidegger, le poème.

Plato's _Republic_ is one of the best-known and most widely-discussed texts in the history of philosophy. But how might we get to the heart of this work today, 2,500 years after its original composition? Alain Badiou breathes life into Plato's landmark text and revives its universality. Rather than producing yet another critical commentary, he has instead worked closely on the original Greek and, through spectacular changes, adapted it to our times. In this innovative reimagining of Plato's work, Badiou has (...) removed all references specific to ancient Greek society--from lengthy exchanges about moral courage in archaic poetry to political considerations mainly of interest to the aristocratic elite--and has expanded the range of cultural references. Here, philosophy is firing on all cylinders: Socrates and his companions are joined by Beckett, Pessoa, Freud, and Hegel, among others. Together these thinkers demonstrate that true philosophy endures, ready to absorb new horizons without changing its essence. Moreover, Badiou--who is also a dramatist--has transformed the Socratic dialogue into a genuine oratorial contest. In his version of the _Republic_, the interlocutors do much more than simply agree with Socrates. They argue, stand up to him, put him on the spot, and show thought in motion. In this work of dramatic scholarship and philosophy, we encounter a modern version of Plato's text that is alive, stimulating, and directly relevant to our own world. (shrink)

Didacticism, romanticism, and classicism are the possible schemata for the knotting of art and philosophy, the third term in this knot being the education of subjects, youth in particular. What characterizes the century that has just come to a close is that, while it underwent the saturation of these three schemata, it failed to introduce a new one. Today, this predicament tends to produce a kind of unknotting of terms, a desperate dis-relation between art and philosophy, together with the pure (...) and simple collapse of what circulated between them: the theme of education. Whence the thesis of which this book is nothing but a series of variations: faced with such a situation of saturation and closure, we must attempt to propose a new schema, a fourth type of knot between philosophy and art. Among these “inaesthetic” variations, the reader will encounter a sustained debate with contemporary philosophical uses of the poem, bold articulations of the specificity and prospects of theater, cinema, and dance, along with subtle and provocative readings of Fernando Pessoa, Ste;phane Mallarme;, and Samuel Beckett. (shrink)

Hegel once wrote that Truth could not be expressed within a single sentence. His statement could surely be taken as justification for the length of his ...

Uses the thoughts of such great minds as Kierkegaard, Plato, and Beckett to examine the concept of love and redefine it in the face of twenty-first century modernity.

Infinite Thought brings together a representative selection of the range of Alain Badiou's work, illustrating the power and diversity of his thought.

The subtractive : preface by Francois Wahl -- Philosophy itself -- The (re)turn of philosophy itself -- Definition of philosophy -- What is a philosophical institution? -- Philosophy and poetry -- The philosophical recourse to the poem -- Mallarm's method : subtraction and isolation -- Rimbaud's method : interruption -- Philosophy and mathematics -- Conference on subtraction -- Truth : forcing and unnameable -- Philosophy and politics -- Philosophy and love -- What is love? -- Philosophy and psychoanalysis -- Subject (...) and infinite -- Antiphilosophy : Lacan and Plato -- Writing of the generic -- Writing of the generic : Samuel beckett. (shrink)

Plato's _Republic_ is one of the best-known and most widely-discussed texts in the history of philosophy. But how might we get to the heart of this work today, 2,500 years after its original composition? Alain Badiou breathes life into Plato's landmark text and revives its universality. Rather than producing yet another critical commentary, he has instead worked closely on the original Greek and, through spectacular changes, adapted it to our times. In this innovative reimagining of Plato's work, Badiou has (...) removed all references specific to ancient Greek society--from lengthy exchanges about moral courage in archaic poetry to political considerations mainly of interest to the aristocratic elite--and has expanded the range of cultural references. Here, philosophy is firing on all cylinders: Socrates and his companions are joined by Beckett, Pessoa, Freud, and Hegel, among others. Together these thinkers demonstrate that true philosophy endures, ready to absorb new horizons without changing its essence. Moreover, Badiou--who is also a dramatist--has transformed the Socratic dialogue into a genuine oratorial contest. In his version of the _Republic_, the interlocutors do much more than simply agree with Socrates. They argue, stand up to him, put him on the spot, and show thought in motion. In this work of dramatic scholarship and philosophy, we encounter a modern version of Plato's text that is alive, stimulating, and directly relevant to our own world. (shrink)

Overture -- Jacques Lacan -- Georges Canguilhem and Jean Cavaillès -- Jean-Paul Sartre -- Jean Hyppolite -- Louis Althusser -- Jean-François Lyotard -- Gilles Deleuze -- Michel Foucault -- Jacques Derrida -- Jean Borreil -- Philippe Lacoue-Labarthe -- Gilles Châtelet -- Françoise Proust -- A note on the texts.

In this dialogue, Alain Badiou shares the clearest, most detailed account to date of his profound indebtedness to Lacanian psychoanalysis. He explains in depth the tools Lacan gave him to navigate the extremes of his other two philosophical "masters," Jean-Paul Sartre and Louis Althusser. Élisabeth Roudinesco supplements Badiou's experience with her own perspective on the troubled landscape of the French analytic world since Lacan's death--critiquing, for example, the link (or lack thereof) between politics and psychoanalysis in Lacan's work. Their (...) exchange reinvigorates how the the work of a pivotal twentieth-century thinker is perceived. (shrink)

A passionate critique of Enlightenment--both in its contemporary invocation and its historical and cultural use--and a call to arms to rethink human equality and liberty without the sacrifice of individual rights and ethnicities.

In this book a noted physiologist and neuroscientist introduces the concept of simplexity, the set of solutions living organisms find that enable them to deal with information and situations, while taking into account past experiences and anticipating future ones. Such solutions are new ways of addressing problems so that actions may be taken more quickly, more elegantly, and more efficiently. In a sense, the history of living organisms may be summed up by their remarkable ability to find solutions that avoid (...) the world's complexity by imposing on it their own rules and functions. Evolution has resolved the problem of complexity not by simplifying but by finding solutions whose processes--though they can sometimes be complex--allow us to act in the midst of complexity and of uncertainty. Nature can inspire us by making us realize that simplification is never simple and requires instead that we choose, refuse, connect, and imagine, in order to act in the best possible manner. Such solutions are already being applied in design and engineering and are significant in biology, medicine, economics, and the behavioral sciences. (shrink)

Alain Badiou is arguably the most significant philosopher in Europe today. Badiou’s seminars, given annually on major conceptual and historical topics, constitute an enormously important part of his work. They served as laboratories for his thought and public illuminations of his complex ideas yet remain little known. This book, the transcript of Badiou’s year-long seminar on the psychoanalytic theory of Jacques Lacan, is the first volume of his seminars to be published in English, opening up a new and vital (...) aspect of his thinking. In a highly original and compelling account of Lacan’s theory and therapeutic practice, Badiou considers the challenge that Lacan poses to fundamental philosophical topics such as being, the subject, and truth. Badiou argues that Lacan is a singular figure of the “anti-philosopher,” a series of thinkers stretching back to Saint Paul and including Kierkegaard and Nietzsche, with Lacan as the last great anti-philosopher of modernity. The book offers a forceful reading of an enigmatic yet foundational thinker and sheds light on the crucial role that Lacan plays in Badiou’s own thought. This seminar, more accessible than some of Badiou’s more difficult works, will be profoundly valuable for the many readers across academic disciplines, art and literature, and political activism who find his thought essential. (shrink)

The notion that all the world's peoples constitute a "brotherhood of man" is not a given among all human beings--it is rather the product of history. So suggests acclaimed philosopher Alain Finkielkraut in _In the Name of Humanity,_ an unsettling reflection on the twentieth century in its twilight hours in which he asks us to rethink our assumptions about universalism and humanism. While many people look to humanist ideals as a deterrent to nationalist chauvinism, Finkielkraut challenges the abstract idea (...) of universalism by describing the terrible crimes "civilized" Europe has committed in its name. At the same time as it challenges the inhumanity of our century's great universalistic solutions, _In the Name of Humanity_ also confronts the more onerous elements of unreflective nationalism--clearly condemning the dangerous use of claims for ethnic purity. However, the book does not put forth a standard-issue polemic against the multitude of nationalistic currents that continue to plague the international arena. Indeed, even as he deplores the violence that seems to go hand in hand with nationalism, Finkielkraut defends its underlying cause--the need to belong. Eloquently quoting the experiences of refugees from Hitler's Germany, he shows the reader why we must heed the call of this irreducible need. Finkielkraut reminds us that the concept of cultural relativism--indeed, the very idea of tolerating other cultures--is a relatively recent development in Western history. As he looks for answers he interrogates the differences between historical racism and the racism embedded in the philosophies of this century's genocidal movements, showing how modern racist ideologies like National Socialism look not to sin within the self as the stumbling block of human advancement but to a clandestine conspiracy by a particular, identifiable element of human society. What this form of radical racist thought eliminates is the notion of personal responsibility--instead of finding the answers to misfortune within the self, modern racism suggests that evil can be identified in others and summarily eliminated. Lucidly connected to the ideas of past thinkers, from Plato to Levinas to Hannah Arendt, Finkielkraut's latest work is a troubling indictment of our century that refuses to back away from the "messiness" of human life and culture. In his willingness to abjure simple solutions, he offers a glimmer of hope. (shrink)

This volume, assembled with the collaboration of the author, presents for the first time in English a comprehensive outline of Badiou's ambitious system.

Discusses Locke's life and views and their impact on American philosophy, as well as his role in the Harlem Renaissance.

For Alain Badiou, films think, and it is the task of the philosopher to transcribe that thinking. What is the subject to which the film gives expressive form? This is the question that lies at the heart of Badiouʹs account of cinema. He contends that cinema is an art form that bears witness to the Other and renders human presence visible, thus testifying to the universal value of human existence and human freedom. Through the experience of viewing, the movement (...) of thought that constitutes the film is passed on to the viewer, who thereby encounters an aspect of the world and its exaltation and vitality as well as its difficulty and complexity. Cinema is an impure art cannibalizing its times, the other arts, and people -- a major art precisely because it is the locus of the indiscernibility between art and non-art. It is this, argues Badiou, that makes cinema the social and political art par excellence, the best indicator of our civilization, in the way that Greek tragedy, the coming-of-age novel and the operetta were in their respective eras. -- Publisher description. (shrink)