Descartes' philosophy contains an intriguing notion of the infinite, a concept labeled by the philosopher as indefinite. Even though Descartes clearly defined this term on several occasions in the correspondence with his contemporaries, as well as in his Principles of Philosophy, numerous problems about its meaning have arisen over the years. Most commentators reject the view that the indefinite could mean a real thing and, instead, identify it with an Aristotelian potential infinite. In the first part of this article, I (...) show why there is no numerical infinity in Cartesian mathematics, as such a concept would be inconsistent with the main fundamental attribute of numbers: to be comparable with each other. In the second part, I analyze the indefinite in the context of Descartes' mathematical physics. It is my contention that, even with no trace of infinite in his mathematics, Descartes does refer to an actual indefinite because of its application to the material world within the system of his physics. This fact underlines a discrepancy between his mathematics and physics of the infinite, but does not lead a difficulty in his mathematical physics. Thus, in Descartes' physics, the indefinite refers to an actual dimension of the world rather than to an Aristotelian mathematical potential infinity. In fact, Descartes establishes the reality and limitlessness of the extension of the cosmos and, by extension, the actual nature of his indefinite world. This indefinite has a physical dimension, even if it is not measurable. La filosofía de Descartes contiene una noción intrigante de lo infinito, un concepto nombrado por el filósofo como indefinido. Aunque en varias ocasiones Descartes definió claramente este término en su correspondencia con sus contemporáneos y en sus Principios de filosofía, han surgido muchos problemas acerca de su significado a lo largo de los años. La mayoría de comentaristas rechaza la idea de que indefinido podría significar una cosa real y, en cambio, la identifica con un infinito potencial aristotélico. En la primera parte de este artículo muestro por qué no hay infinito numérico en las matemáticas cartesianas, en la medida en que tal concepto sería inconsistente con el principal atributo fundamental de los números: ser comparables entre sí. En la segunda parte analizo lo indefinido en el contexto de la física matemática de Descartes. Mi argumento es que, aunque no hay rastro de infinito en sus matemáticas, Descartes se refiere a un indefinido real a causa de sus aplicaciones al mundo material dentro del sistema de su física. Este hecho subraya una discrepancia entre sus matemáticas y su física de lo infinito, pero no implica ninguna dificultad en su física matemática. Así pues, en la física de Descartes, lo indefinido se refiere a una dimensión real del mundo más que a una infinitud potencial matemática aristotélica. De hecho, Descartes establece la realidad e infinitud de la extensión del cosmos y, por extensión, la naturaleza real de su mundo indefinido. Esta indefinición tiene una dimensión física aunque no sea medible. (shrink)

Leibniz is well known for his formulation of the infinitesimal calculus. Nevertheless, the nature and logic of his discovery are seldom questioned: does it belong more to mathematics or metaphysics, and how is it connected to his physics? This book, composed of fourteen essays, investigates the nature and foundation of the calculus, its relationship to the physics of force and principle of continuity, and its overall method and metaphysics. The Leibnizian calculus is presented in its origin and context together with (...) its main contributors: Archimedes, Cavalieri, Wallis, Hobbes, Pascal, Huygens, Bernoulli, and Nieuwentijt. Many of us know and probably have used the Leibnizian formula: to .. (shrink)

Henry More est le plus connu des Platoniciens de Cambridge et l’Enchiridion Metaphysicum, son dernier ouvrage, représente l’accomplissement de sa pensée. Il s’agit d’une enquête métaphysique dont le principal objectif est d’établir l’existence d’une substance immatérielle, d’une âme du monde, sorte d’intermédiaire entre Dieu et le monde par laquelle les choses agissent. More nous invite ainsi à découvrir la vraie métaphysique qui consiste en la découverte de la nature véritable de l’étendue des êtres spirituels comme Dieu, les anges et les (...) démons, l’espace, les âmes individuelles des hommes ou des bêtes. Ce manuel de métaphysique prend appui sur le mécanisme cartésien pour mieux le contredire et démontre que l’extension spirituelle est la principale qualité des esprits. Cette doctrine conduira More à re-diviniser l’espace pour l’instituer à l’instar des kabbalistes de l’école de Safed, comme lieu de la possibilité de l’existence du monde. More montre ainsi les limites des mécanismes d’Hobbes et de Descartes tout en essayant de composer avec d’autres savants mécanistes tels que Robert Boyle et Robert Hooke. Quelques années plus tard, à Cambridge, Newton, sur les pas d’Henry More, pensera la nature de son espace physique comme un espace de nature divine, comme un Sensorium Dei. ---------------------------------------------------------------------------------------------------- ------------- Biographie de l'auteur: Françoise Monnoyeur est Docent en philosophie (Associate Professor). Elle enseigne la philosophie et l’histoire des sciences en France, aux États-Unis et en Suède. Elle est chercheur associée au centre Jean Pépin, Paris, France. Ses principaux ouvrages portent sur Descartes, l’infini, la matière, la vie. (shrink)

In book: Infini des mathématiciens, infini des philosophes, Edition: 1992, 1995, 1999, 2002, 2008, 2011 ebook, Chapter: Introduction, Publisher: Belin, Paris, Editors: F. Monnoyeur, pp.9-16.

In their book on Descartes’s Changing Mind, Peter Machamer and J. E. McGuire argue that Descartes discarded dualism to embrace a kind of monism. Descartes famously proposed that there are two separate substances, mind and body, with distinct attributes of thought and extension. According to Machamer and McGuire, because of the limitations of our intellect, we cannot have insight into the nature of either substance. After reviewing their argument in some detail, I will argue that Descartes did not relinquish his (...) favorite doctrine but may have actually fooled himself about the nature of his dualism. It is my contention that the problem with Cartesian dualism stems from the definition of mind and body as substances and the role of their respective attributes—thought and extension—in the definition of substances. (shrink)

This article analyzes the value of geometric models to understand matter with the examples of the Platonic model for the primary four elements (fire, air, water, and earth) and the models of carbon atomic structures in the new science of crystallography. How the geometry of these models is built in order to discover the properties of matter is explained: movement and stability for the primary elements, and hardness, softness and elasticity for the carbon atoms. These geometric models appear to have (...) a double quality: firstly, they exhibit visually the scientific properties of matter, and secondly they give us the possibility to visualize its whole nature. Geometrical models appear to be the expression of the mind in the understanding of physical matter. (shrink)

The Mathematical Imagination focuses on the role of mathematics and digital technologies in critical theory of culture. This book belongs to the history of ideas rather than to that of mathematics proper since it treats it on a metaphorical level to express phenomena of silence or discontinuity. In order to bring more readability and clarity to the non-specialist readers, I firstly present the essential concepts, background, and objectives of his book...

Résumé – Nous nous intéressons à l’enseignement et l’apprentissage de l’infini en classe de mathématiques en considérant les différences et les relations entre infini potentiel et infini actuel. Nous présentons les principaux éléments de notre étude philosophique, épistémologique et didactique, ainsi que trois situations visant à conduire un travail explicite avec les élèves sur ces questions en début de lycée. ---------------------------------------------------------------------------------------------------- --------------------------------- Abstract – We are interested in the teaching and learning of infinite in mathematics class, taking into account the relations (...) between potential infinite and actual infinite. We report the main elements of our current philosophical, epistemological and didactical study; we also present three mathematical situations that we consider relevant for this purpose and to be explored with 10 and 11 grade students. (shrink)

Descartes développe, dans ses Principes de la Philosophie, les principes fondateurs de son système construit sur l’identification de la matière à l’espace. L’analyse de ses principes nous invite à repenser le rôle de la métaphysique dans la constitution de la science et permet aussi de comprendre comment les concepts de matière, substance, espace, étendue géométrique, mouvement, infini et vide sont devenus les questions centrales de la science du XVIIe siècle.

La querelle qui oppose la sémantique cognitive à la linguistique "orthodoxe" contemporaine: structuralisme et grammaire générative (Claude Vandeloise, ce numéro), éveille, en histoire des sciences du langage, des échos lointains mais familiers. Car, par bien des aspects, se trouve rappelée une querelle épistémologique ancienne de grande envergure, celle qui, dans l'Antiquité grecque, opposa les anomalistes aux analogistes, les anomalistes de l'école stoïcienne de Pergame aux analogistes de l'école aristotélicienne d'Alexandrie.

This editorial introduces the Journal of Consciousness Studies special issue on "Animal Consciousness". The 15 contributors and co-editors answer the question "How should we study animal consciousness scientifically?" in 500 words or fewer.

When the benefits of surgery do not outweigh the harms or where they do not clearly do so, surgical interventions become morally contested. Cutting to the Core examines a number of such surgeries, including infant male circumcision and cutting the genitals of female children, the separation of conjoined twins, surgical sex assignment of intersex children and the surgical re-assignment of transsexuals, limb and face transplantation, cosmetic surgery, and placebo surgery.

A review of Francoise Laruelle's General Theory of Victims, which places Laruelle's theory in the context of post-colonial theories of the subaltern subject after Gayatri Spivak and Edward Said. The review questions whether Laruelle's General Theory of Victims really allows the so-called victims to speak for themselves, or simply represents another attempt by Western (French?) intellectuals to speak to/through the victims, for their own political and theoretical purposes.

Studie recenzuje následující díla: Maurice HALBWACHS, Kolektivní paměť. Praha: SLON 2009, 289 s. ; Françoise MAYER, Češi a jejich komunismus: paměť a politická identita. Praha: Argo 2009, 273 s. ; Zdeněk VAŠÍČEK – Françoise MAYER, Minulost a současnost, paměť a dějiny. Brno – Praha: CDK – Triáda 2008, 199 s. Studie konstatuje, že v češtině začíná být k dispozici dostatečné množství publikací o sociální paměti, aby teoreticky zabezpečily širší pojetí výzkumů paměti. Zároveň by však tyto výzkumy neměly být (...) podřizovány historiografii, a především je v nich zapotřebí pracovat nejen s koncepty identity a sociálních svazků, ale i moci a konfliktu. (shrink)

Drawing on Françoise Dastur’s suggestion that the event is a permanent possibility that shapes lived experience, but also, when it occurs, a distinctive temporal rupture, I argue that the initial weeks of the COVID-19 epidemic constitute an event, in her sense. Connecting this phenomenological point to literatures on the politics of temporality, I suggest that the distinction between event and normal experience maps to that between epidemic and endemic. Understanding some of the political and ethical erasures of death and (...) debility in COVID times can thus be mutually informed by phenomenological analysis. (shrink)

Ecofeminist philosophy is a development of feminist philosophy that addresses the intersection of sexism and environmental issues. Coined by Francoise d’Eaubonne, the term “ecofeminism” refers to a diverse collection of feminist thought that shares the conviction that the present environmental crisis is due not solely to the anthropomorphic nature of dominant conceptualisations of human-nature relations, with their emphasis on notion of mastery and control, but also to their androcentric nature. Technology features frequently in ecofeminist writings, in analyses of technocracy (Birkeland (...) 1993), Nuclear Power (Caputi 1993), reproductive technologies (Diamond 1990), or the production of computer interfaces (Romberger 2011), to give but a few examples. Despite being a recurrent theme, technology itself as a phenomenon is rarely directly considered. For many ecofeminists technology seems to operate as an umbrella term for a collection of artefacts whose positive or negative characteristics are ultimately contingent upon the manner in which they are employed. The individual technologies appear as value neutral. There are of course exceptions to this piecemeal approach to technological artefacts, and in this chapter I shall focus upon two ecofeminist philosophers whose consideration of technology moves from the individual instance towards a more general account of the nature of technology. The first, Karen Warren, gives technology a central place in her philosophical analysis. However, I shall suggest, her commitment to an instrumental understanding of technology renders her approach problematic. I will then consider the work of Vandana Shiva. Standard analyses of Shiva’s work tend to overlook the philosophical dimensions of her thought, in particular the continuous emphasis on science and technology. I argue that Shiva puts forward a sophisticated technological determinist philosophy of that emphasises the role of political and patriarchal interests in technological development and subsequent social and environmental interventions. (shrink)

Alexander R. Galloway and Jason R. LaRiviére’s article “Compression in Philosophy” seeks to pose François Laruelle’s engagement with metaphysics against Bernard Stiegler’s epistemological rendering of idealism. Identifying Laruelle as the theorist of genericity, through which mankind and the world are identified through an index of “opacity,” the authors argue that Laruelle does away with all deleterious philosophical “data.” Laruelle’s generic immanence is posed against Stiegler’s process of retention and discretization, as Galloway and LaRiviére argue that Stiegler’s philosophy seeks to reveal (...) an enchanted natural world through the development of noesis. By further developing Laruelle and Stiegler’s Marxian projects, I seek to demonstrate the relation between Stiegler's artefaction and “compression” while, simultaneously, I also seek to create further bricolage between Laruelle and Stiegler. I also further elaborate on their distinct engagement(s) with Marx, offering the mold of synthesis as an alternative to compression when considering Stiegler’s work on transindividuation. In turn, this paper seeks to survey some of the contemporary theorists drawing from Stiegler (Yuk Hui, Al-exander Wilson and Daniel Ross) and Laruelle (Anne-Françoise Schmidt, Gilles Grelet, Ray Brassier, Katerina Kolozova, John Ó Maoilearca and Jonathan Fardy) to examine political discourse regarding the posthuman and non-human, with a particular interest in Kolozova’s unified theory of standard philosophy and Capital. (shrink)

[a chapter in a volume edited by DENNES (Maryse), Ó MAIOLEARCA (John), SCHMID (Anne-Françoise) (dir.), a Philosophie non-standard de François Laruelle , p. 127-135 La révolte ou la rébellion immanente est sans but, parce que sa seulesource et sa seule tendance est de se protéger contre la violence de l’aliénation,afin de défendre l’homme-en-homme qui est déterminé par sa vulnérabilitéradicale. Toute lutte politique émane du diktat de la rébellion immanente,celle du vécu radicalement solitaire. La lutte est une singularité radicale ce (...) quine veut pas dire qu’elle ne puisse pas établir solidarité ou qu’elle soitindividualiste. (shrink)

In July 1759 the French philosopher Andre´ Pierre Le Guay de Prémontval (1716-1764) published in Berlin a diatribe against the excessive and incorrect use of French in the Prussian capital. Far from being a mere guide to linguistic style, the Préservatif contre la corruption de la langue françoise generated a heated debate, attested by an official threat to ban its publication. The personal animosity between Prémontval and the perpetual secretary of the Berlin Academy, Jean Henri Samuel Formey (1711-1797) was (...) amply demonstrated over the pages of the Préservatif, offering a rare insight into the complex web of social and intellectual tensions in mid eighteenth-century Berlin and its Academy of Sciences. At stake were the social status and the philosophical outlook of local Huguenots, compared to that of French philosophers who were granted asylum in Prussia by Frederick II. The debate also concerned the issues of academic freedom in an absolutist regime, the material production and distribution of texts, conduct and etiquette in the Republic of Letters and the formation of group identities in eighteenth-century Germany. Drawing on manuscripts preserved in Berlin, Göttingen and Krakow, this article traces the development of the controversy and the reception of Prémontval’s work by both French- and German- writing authors at the Berlin Academy and beyond its confines. (shrink)

Langeweile wird in dieser Anthologie als Signatur der Moderne lesbar: Sie durchdringt die gegenwärtige Kultur, wird aber nach wie vor weggeschoben, ja tabuisiert. Der Band bietet eine Textauswahl von klassischen Denkern sowie von Autorinnen und Autoren des modernen Diskurses bis heute und stellt den Zusammenhang mit verwandten Phänomenen der Sinnleere und Erschöpfung her. Als zunehmendes Massenphänomen in saturierten Gesellschaften entwickelt die Langeweile eine pathologische Dynamik, wenn ihr nicht ein eigener Raum gelassen wird. Ein Plädoyer für die Anerkennung dieses unvermeidlichen Gefühls. (...) Mit Texten von Blaise Pascal, Immanuel Kant, Arthur Schopenhauer, Søren Kierkegaard, Charles Baudelaire, Friedrich Nietzsche, Georg Simmel, Walter Benjamin, Bertrand Russell, Iwan Gontscharow, Siegfried Kracauer, Emil Cioran, Giacomo Leopardi, Wolf Lepenies, Elizabeth S. Goodstein, Peter Toohey, Martin Doehlemann, Françoise Wemelsfelder und anderen. (shrink)

Sikap kritis terhadap krisis ekologi yang berdampak buruk pada perempuan telah dimulai oleh Francoise d’Eaubonne dalam bukunya La Feminsme au la Mort (1974). Inilah awal terminologi ekofeminisme diperkenalkan. d’Eaubonne mengungkapkan adanya keterkaitan yang erat antara penindasan terhadap perempuan dan penindasan terhadap alam yang berakar pada kultur patriarki. Dalam sistem ini, perempuan menempati konstruksi posisi yang sama dengan alam yaitu sebagai objek, bukan subjek. Ekofeminisme kemudian lahir untuk memecahkan masalah kehidupan manusia dengan alam yang berangkat dari pengalaman perempuan dan menjadikannya sebagai (...) salah satu sumber belajar dalam pengelolaan dan pelestarian alam. Dalam artikel ini, saya akan mencoba melakukan kritik terhadap beberapa gagasan ekofeminisme. Kritik dalam gagasan ekofeminisme yang akan dilayangkan adalah terkait: relasi antara perempuan dan alam, sifat ideal perempuan, etika kepedulian, gagasan “Ibu Bumi”, dan gagasan menyembuhkan Bumi. Dengan metode studi pustaka, saya akan membedah gagasan dan solusi yang ditawarkan oleh ekofeminisme dalam menghadapi alam saat ini dan melihat apakah ekofeminisme masih relevan dalam epos Antroposen. (shrink)