This paper concerns the role of mathematical problems in the epistemology of Jean Cavaillès. Most occurrences of the term “problem” in his texts refer to mathematical problems, in the sense in which mathematicians themselves use the term: for an unsolved question which they hope to solve. Mathematical problems appear as breaking points in the succession of mathematical theories, both giving a continuity to the history of mathematics and illuminating the way in which the history of mathematics breaks up into successive (...) theories with different kinds of operations and, in a sense, different kinds of a prioris. We briefly compare mathematical becoming to the succession of episteme in Foucault’s Les Mots et les choses. We then come back to the necessity that Cavaillès attributes to mathematical becoming, and which the position of mathematical problems illustrates, in order to discuss its various consequences in Cavaillès’ later works but also in Canguilhem’s discussion of Cavaillès’ role in the Resistance. Finally, we study other types of problems, in Cavaillès’ writings: philosophical problems and what we will call “questions” rather than “problems,” and which contrary to mathematical problems, as Cavaillès uses the term, cannot be solved but pervade the whole of the history of mathematics. We will put these “questions” in relation to Lautman’s Ideas. (shrink)

This article is concerned with the status and stakes of Gilles Deleuze’s “break” with structuralism. With a particular focus on a transitional text of Deleuze, the 1967/1972 article “How Do We Recognize Structuralism?,” it asks how Deleuze understood structuralism and why, after his encounter with Félix Guattari and Guattari’s own transitional text, 1969’s “Machine and Structure,” Deleuze felt the need to break with structuralism. It argues that reading these two texts together allows us to see that Deleuze already perceived tensions (...) within the structuralist project, and argues that Guattari’s non-structural account of the machine allowed Deleuze to clarify this perception, and see it as necessitating a departure from structuralism. To close, however, it turns to recent work by philosophers such as Étienne Balibar and Patrice Maniglier that re-examines the structuralist moment and identifies an ongoing legacy that the “poststructuralism” of Deleuze and Guattari may be part of. By considering Deleuze and Guattari’s break with structuralism in light of this work, this article considers how the polemical rejection of structuralism by Deleuze and Guattari may not fully account for the ongoing legacy of the structuralist program and the persistence of a structuralist problematic in their thought. (shrink)

In Différence et répétition, Deleuze's ontology is structured by his theory of dialectical Ideas or problems, which draws features from Plato, Kant, and classical calculus. Deleuze unifies these features through a theory of Ideas/problems developed by the mathematician and philosopher Albert Lautman. Lautman worked to explain the nature of the problems or dialectical Ideas mathematics engages and the solutions or mathematical theories endeavouring to understand them. Lautman drew upon Heidegger to do this. This article clarifies Deleuze's theory of dialectical Ideas/problems (...) by analysing its debts to Lautman and Heidegger and demonstrates a Heideggerian influence on Deleuze via Lautman. (shrink)

This article takes up the blurred distinction between performative and constative utterances in an effort to develop a quotidian and idiomatic conception of prayer as perjurious testimony. Focusing on a passage in the recently published Le parjure et le pardon seminars, I argue that a quotidian and idiomatic conception of prayer is one whose function interminably oscillates between constative and performative, rendering the distinction between these two uses of language indiscernible. This oscillation plays not to prayer's detriment, but instead serves (...) as the animating force behind prayer and the impossible ethical desire prayer expresses. The impossibility of a prayer whose desire is rendered perjurious by the state of affairs from which it emerges opens onto a number of political, ethical, and theological concerns that the second half of the paper addresses. By reading Simone Weil's reflections on the ‘Our Father’ in light of Derrida's considerations above, I argue that prayer's impossibility is a condition of possibility for its ability to produce real effects in the world it betrays. (shrink)

Disability studies has begun to employ Rosi Braidotti’s posthumanism, as a means to challenge the exclusionary model of man, dominant both in the academy and in everyday life. Braidotti argues that we must embrace a new form of subjectivity to effectively address the academic, environmental and species challenges characterizing the posthuman condition. This critical posthuman subject is inspired, in part, by Baruch de Spinoza, read as a monistic philosopher of difference. In this article, I compare Braidotti’s posthuman philosophy with Spinoza’s (...) Ethics, read through a Deleuzian lens. The two projects are extremely different. My arguments are twofold: first, that Braidotti’s subjective reading overlooks Spinoza’s anti-subjective rationalism; and, second, that we must be cautious about Braidotti’s demands that we jettison all vestiges of man from philosophy, exploring disability or anything else. I make my case using the example of phenomenology. I end by asking what an expanded understanding of Spinoza’s philosophy means for disability studies, for posthumanism and for other forms of radical philosophy in the future. (shrink)

Massimiliano Simons provides the first systematic study of Serres' work in the context of late 20th-century French philosophy of science. By proposing new readings of Serres' philosophy, Simons creates a synthesis between his predecessors, Gaston Bachelard, Georges Canguilhem, and Louis Althusser as well as contemporary Francophone philosophers of science such as Bruno Latour and Isabelle Stengers. Simons situates Serres' unique contribution through his notion of the quasi-object, a concept, he argues, organizes great parts of Serres' work into a promising philosophy (...) of science as well as a challenge to the narrower field of French epistemology, to which it has often been limited. Simons highlights how the concept encompasses Serres' commitment to positive relations between science and culture and his rejection of pleas to purify the scientific self from imaginative and cultural elements. It helps to situate Serres between the distinct traditions of Bachelard and Latour as well as progressing the innovative aspects of Serres' philosophy for current debates in the philosophy, history, and sociology of science. Showing how Serres' philosophy can serve as a normative approach to science and technology, Michel Serres and French Philosophy of Science takes in themes of materiality, religiosity, modernity and ecology to advance a timely alternative to philosophy of science for contemporary life. (shrink)

This article approaches Gilles Deleuze's notion of problems through a series of thinkers Deleuze draws on in developing this notion: Heidegger, Plato, Kant, Bergson and Nietzsche. Taking these thinkers as its guide, it sketches six broad characteristics that accompany an investment in problems, ultimately arguing that problems are attained through the activity of critique. It echoes Deleuze's essay ‘How Do We Recognise Structuralism?’ by asking: for whom do problems exist? What does Deleuze recognise in those who recognise problems? And what (...) do those who recognise problems make visible for us? (shrink)

This article clarifies and resituates Althusser’s materialist philosophical project in relation not only to such predecessors as V.I. Lenin and Jean-Toussaint Desanti but also to such successors as Pierre Macherey and Pierre Raymond. The thesis of the article is that Althusser’s project to establish a philosophical practice that would be appropriate for Marxism did not simply consist of identifying and defending a ‘materialist’ position in philosophy against external ‘idealist’ challenges or threats. On the contrary, it recognised that there exists an (...) interminable struggle between inextricably linked but ever-shifting materialist and idealist tendencies – a struggle that operates as a defining feature in the history of philosophy. As a result, the problem explored in this article concerns how best to conceptualise this struggle and to determine whether or not the term ‘tendency’ genuinely holds analytical value and can serve as an important conceptual resource for Marxists working within the field of philosophy. (shrink)

This paper critically evaluates Foucault’s relation to Bachelard and Canguilhem. It reconsiders the relevance of the concept of “influence” for treating this relation in order to register the more sceptical position Foucault adopts towards knowledge practices than either of these figures from twentieth-century French epistemology.

In this paper I present an interpretation of Deleuze's concept of the virtual. I argue that this concept is best understood in relation to the problematic of individuation or differentiation, which Deleuze inherits from Duns Scotus. After analysing Scotus' critique of Aristotelian or hylomorphic approaches to the problem of individuation, I turn to Deleuze's account of differentiation and his interpretation of the calculus in chapter 4 of Difference and Repetition. The paper seeks thereby to explicate Deleuze's dialectics or theory of (...) Ideas, his approach to the principle of sufficient reason, and the concept of the virtual itself. (shrink)

In this article I examine Michel Serres’s seminal study of Leibniz: Le Système de Leibniz et ses modèles mathématiques, a book which, in spite of its significance, has never been dis...

This article is about Gilles Deleuze's book Le Pli. Leibniz et le Baroque from 1988. It shows how Deleuze's notion of folding captures some basic intuitions in Leibniz and how they relate to each other. To this purpose, I propose five figures, all referring to the same basic fold, all illustrating how the consideration of such figures allows developing central elements of Leibniz's monadology. These figures can help, I hope, alleviate some of the fundamental difficulties in understanding Deleuze's approach to (...) the Monadology from the non-Deleuzian perspective of contemporary Leibniz scholarship and give a sense of the synthetic, explanatory force that Deleuze's notion of folding has in relation to Leibniz's monadological metaphysics. (shrink)

This paper explores a methodological lineage among French Spinoza scholars which can be traced back to texts written by Victor Delbos (1862–1916), which later branched out into two diametrically opposed orientations in the work by Martial Gueroult (1891–1976) and Paul Vernière (1916–1997), only to be reunited reflexively in the more recent work by Pierre-François Moreau (1948-). The aim is mostly to offer an original reconstruction of the way in which Delbos’ historical programme was inherited by subsequent Spinoza scholars. While retracing (...) this lineage, my focus will be on a specific historiographical principle first formulated by Delbos. In the conclusion, however, I briefly turn to Spinoza himself, arguing how this reconstituted family of twentieth century French historians of philosophy can be characterized as a form of ‘Historiographical Spinozism’. (shrink)

In this article, I re-examine the relationship between the thoughts of contemporaneous and associated late twentieth-century French philosophers Michel Foucault and Louis Althusser, through the prism of the notion of the problem. I discuss the philology of the use of the noun “problematic” in French philosophy in relation to Foucault and Althusser’s use of it, concluding that while Althusser makes this a term of art in his thought, Foucault does not make any particular use of this concept. I nonetheless consider (...) the possibility of the existence of a similar notion under a different name, episteme, in Foucault’s thought, but conclude that this is a distinct notion from Althusser’s “problematic.” I then consider Foucault’s later, idiosyncratic notion of problematization and its possible relation to Althusser’s conceptual framework. I conclude that, despite divergent vocabularies, Althusser and Foucault do have a common problematic and approach to problematization, though Foucault also problematizes aspects of Althusser’s problematic, effectively taking problematization a step further. (shrink)

Este estudo tem como principal objetivo uma análise do conceito de determinação em Espinosa. Historicamente, o pensamento de Espinosa foi assimilado a uma filosofia acosmista, isto é, uma filosofia que nega a realidade das coisas finitas em um mundo onde apenas Deus ou a substância seria real. Tal interpretação se consolida a partir das considerações hegelianas em suas Lições sobre a História da Filosofia e na Ciência da Lógica, em que Hegel lê todo o sistema de Espinosa a partir do (...) princípio "omnis determinatio est negatio". Nosso estudo se desenvolve então, primeiramente, apresentando as consequências contemporâneas desta leitura hegeliana; em seguida analisamos a interpretação hegeliana e algumas contribuições de Deleuze a respeito do conceito de determinação em Espinosa; e, por fim, analisamos no texto espinosano a função que o conceito de determinação desempenha e como ela se distancia do consagrado marco de leitura hegeliano de que “omnis determinatio est negatio”. (shrink)

En este artículo desafío la aseveración sostenida por Peden y Brandt de que la filosofía de Spinoza es esencialmente incompatible con ciertas posiciones fundamentales de la fenomenología. Contra eso, sostengo que lo que Spinoza llama la imaginación se asemeja a la percepción en la fenomenología de Merleau-Ponty. Se justifica esa tesis a partir de una lectura semiótico-hermenéutica de la teoría de la imaginación spinozista, la cual permite ver ciertas semejanzas entre las epistemologías de percepción entre estos respectivos filósofos. A la (...) vez, al destacar las convergencias entre Spinoza y Merleau-Ponty, se ponen de relieve las divergencias entre el cartesianismo y la fenomenología, y surge la posibilidad de una lectura novedosa de la fenomenología desde una perspectiva spinozista. (shrink)

This essay is concerned with an enigmatic passage at the heart of Gilles Deleuze's Difference and Repetition which locates the origin of ideas in an “aleatory point”. Deleuze develops this claim th...

This thesis seeks to understand the nature of and relation between science and philosophy articulated in the early work of the French philosopher Gilles Deleuze. It seeks to challenge the view that Deleuze’s metaphysical and metaphilosophical position is in important part an attempt to respond to twentieth century developments in the natural sciences, claiming that this is not a plausible interpretation of Deleuze’s early thought. The central problem identified with such readings is that they provide an insufficient explanation of the (...) nature of philosophy’s contribution to the encounter between philosophy and science that they discern in Deleuze’s work. The philosophical, as opposed to scientific, dimension of the position attributed to Deleuze remains obscure. In chapter 1, it is demonstrated that this question of philosophy’s contribution to intellectual life and of how to differentiate philosophy from the sciences is a live one in Deleuze’s early thought. An alternative, less anachronistic interpretation of the parameters of Deleuze’s early project is offered. The remaining chapters of the thesis examine the early Deleuze’s understanding of the divergence between philosophy and science. Chapter 2 gives an account of Deleuze’s metaphilosophy, alongside a reconstruction of his largely implicit early understanding of science. The divergent intellectual processes and motivating concerns that account for Deleuze’s understanding of the differentiation of science and philosophy are thus clarified. In chapter 3, Deleuze’s use of mathematical and physical concepts is examined. It is argued that these concepts are used metaphorically. In chapter 4, the association between modern science and the Deleuzian concept of immanence that has been proposed by some Deleuze scholars is examined and ultimately challenged. The thesis concludes with some reflections on the significance of Deleuze’s early work for contemporary debates concerning the future of continental philosophy and the nature of philosophy more generally. (shrink)

Although Deleuze’s work on Spinoza is widely known, it remains poorly understood. In particular, Deleuze’s interpretation of Spinoza’s immanentism has not been treated sufficient care; that is, with an eye to the context of its elaboration and the way in which it gradually takes on different characteristics. With this paper, I offer a synoptic analysis of Deleuze’s views on immanence in Spinoza and examine how these change over the course of Deleuze’s career. There are three ascending stages here: a first (...) one, where Deleuze’s attention is drawn to more recognizable issues in understanding Spinoza’s views on the deep metaphysical structure of reality; a second, more experimental one, where Deleuze questions what it means to be a reader of Spinoza in light of Spinoza’s theory of the body and affects; and a third, particularly iconoclastic stage, where Deleuze develops the theory of “the plane of immanence” as a way of articulating a meta-philosophical story about the place of non-philosophy at the heart of all philosophy. I trace each of these accounts, tie them together to tell a coherent and comprehensive narrative, and show what may be learned from this Spinoza that Deleuze portrays as drunk on immanence. (shrink)

This essay examines Deleuze’s relation to new materialism through an engagement with new materialist claims about the human and nonhuman relation and about agency. It first considers the work of Elisabeth Grosz and then moves on to a consideration of Deleuze’s own conception of a new materialism/new naturalism. I seek to show that Deleuze is an ethically motivated naturalist concerned with an ethical pedagogy of the human, which he derives from his reading of Spinoza. I seek to illuminate some of (...) the principal features of this ethically guided materialism/naturalism and show that even in his later work with Felix Guattari, which situates all life, human and nonhuman, on a plane of immanence, there remains a recognition that the human animal is ethically distinguished as the inventive species par excellence. My main claim, then, is that Deleuze’s project cannot be aligned with a new materialism that supposes a flat ontology and that does away with an ethical distinction between the human and the nonhuman. Although Deleuze bequeaths a complex legacy to post-modern thought in his thinking about the human, it should not be supposed that he has no affinities with aspects of a humanist position and pedagogy. (shrink)