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  1. Simon B. Duffy (2013). Deleuze and the History of Mathematics: In Defense of the New. Bloomsbury.
    Gilles Deleuze’s engagements with mathematics, replete in his work, rely upon the construction of alternative lineages in the history of mathematics, which challenge some of the self imposed limits that regulate the canonical concepts of the discipline. For Deleuze, these challenges provide an opportunity to reconfigure particular philosophical problems – for example, the problem of individuation – and to develop new concepts in response to them. The highly original research presented in this book explores the mathematical construction of Deleuze’s philosophy, (...)
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  2. Sean Bowden & Simon B. Duffy (eds.) (2012). Badiou and Philosophy. Edinburgh University Press.
    A reassessment of Badiou's work which demonstrates its critical importance for contemporary philosophy. -/- This collection of thirteen essays engages directly with the work of Alain Badiou, focusing specifically on the philosophical content of his work and the various connections he established with both his contemporaries and his philosophical heritage. -/- You’ll find in-depth critical readings of his oeuvre through the lens of a number of important philosophical thinkers and themes, ranging from Cantor and category/topos theory, Lacan and Lautman, through (...)
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  3. Simon B. Duffy (2012). Badiou’s Platonism: The Mathematical Ideas of Post-Cantorian Set-Theory. In Sean Bowden & Simon B. Duffy (eds.), Badiou and Philosophy. Edinburgh University Press.
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  4. Simon B. Duffy (2012). The Question of Deleuze’s Neo-Leibnizianism. In Patricia Pisters, Rosi Braidotti & Alan D. Schrift (eds.), Down by Law: Revisiting Normativity with Deleuze. Bloomsbury.
    Much has been made of Deleuze’s Neo-Leibnizianism,3 however not very much detailed work has been done on the specific nature of Deleuze’s critique of Leibniz that positions his work within the broader framework of Deleuze’s own philo- sophical project. The present chapter undertakes to redress this oversight by providing an account of the reconstruction of Leibniz’s metaphysics that Deleuze undertakes in The Fold. Deleuze provides a systematic account of the structure of Leibniz’s metaphys- ics in terms of its mathematical underpinnings. (...)
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  5. Simon B. Duffy (2011). Review of Peter Gaffney (Ed.), The Force of the Virtual: Deleuze, Science, and Philosophy (Minnesota University Press, 2010). [REVIEW] Hopos 1 (2):340-3.
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  6. Simon B. Duffy (2011). The Role of Joyful Passions in Spinoza’s Theory of Relations. In Dimitris Vardoulakis (ed.), Spinoza Now. Minnesota University Press.
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  7. Simon B. Duffy (2010). Deleuze, Leibniz and Projective Geometry in the Fold. Angelaki 15 (2):129-147.
    Explications of the reconstruction of Leibniz’s metaphysics that Deleuze undertakes in 'The Fold: Leibniz and the Baroque' focus predominantly on the role of the infinitesimal calculus developed by Leibniz.1 While not underestimat- ing the importance of the infinitesimal calculus and the law of continuity as reflected in the calculus of infinite series to any understanding of Leibniz’s metaphysics and to Deleuze’s reconstruction of it in The Fold, what I propose to examine in this paper is the role played by other (...)
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  8. Simon B. Duffy (2010). French and Italian Spinozism. In Rosi Braidotti, Patricia Pisters & Alan D. Schrift (eds.), After Poststructuralism - Transitions and Transformations. The History of Continental Philosopy. Acumen; Chicago University Press.
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  9. Simon B. Duffy (2009). Deleuze and the Mathematical Philosophy of Albert Lautman. In Jon Roffe & Graham Jones (eds.), Deleuze’s Philosophical Lineage. Edinburgh University Press.
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  10. Simon B. Duffy (2009). Spinoza Today: The Current State of Spinoza Scholarship. Intellectual History Review 19 (1):111-132.
    What I plan to do in this paper is to provide a survey of the ways in which Spinoza’s philosophy has been deployed in relation to early modern thought, in the history of ideas and in a number of different domains of contemporary philosophy, and to offer an account of how some of this research has developed. The past decade of research in Spinoza studies has been characterized by a number of tendencies; however, it is possible to identify four main (...)
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  11. Simon B. Duffy (2009). The Role of Mathematics in Deleuze's Critical Engagement with Hegel. International Journal of Philosophical Studies 17 (4):563 – 582.
    The role of mathematics in the development of Gilles Deleuze's (1925-95) philosophy of difference as an alternative to the dialectical philosophy determined by the Hegelian dialectic logic is demonstrated in this paper by differentiating Deleuze's interpretation of the problem of the infinitesimal in Difference and Repetition from that which G. W. F Hegel (1770-1831) presents in the Science of Logic . Each deploys the operation of integration as conceived at different stages in the development of the infinitesimal calculus in his (...)
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  12. Simon B. Duffy (2008). Review of Michael Hunter, The Boyle Papers: Understanding the Manuscripts of Robert Boyle (Ashgate, 2007). [REVIEW] Reviews in the Enlightenment 1.
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  13. Simon B. Duffy (2007). The Ethical View of Spinoza’s Theory of Relations. In B. Bolt, F. Coleman, G. Jones & A. Woodward (eds.), Sensorium: Aesthetics, Art, Life. Cambridge Scholars Press.
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  14. Simon B. Duffy (2006). Deleuze and Mathematics. In , Virtual Mathematics: the logic of difference. Clinamen.
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  15. Simon B. Duffy (2006). The Differential Point of View of the Infinitesimal Calculus in Spinoza, Leibniz and Deleuze. Journal of the British Society for Phenomenology 37 (3):286-307.
    In Hegel ou Spinoza,1 Pierre Macherey challenges the influence of Hegel’s reading of Spinoza by stressing the degree to which Spinoza eludes the grasp of the Hegelian dialectical progression of the history of philosophy. He argues that Hegel provides a defensive misreading of Spinoza, and that he had to “misread him” in order to maintain his subjective idealism. The suggestion being that Spinoza’s philosophy represents, not a moment that can simply be sublated and subsumed within the dialectical progression of the (...)
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  16. Simon B. Duffy (2006). Review of Michiel Wielema’s The March of the Libertines. Spinozists and the Dutch Reformed Church (1660 – 1750) (Verloren, 2004). [REVIEW] Journal of Religious History 30 (1):122-3.
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  17. Simon B. Duffy (2006). The Difference Between Science and Philosophy: The Spinoza-Boyle Controversy Revisited. Paragraph 29 (2):115-138.
    This article examines the seventeenth-century debate between the Dutch philosopher Benedict de Spinoza and the British scientist Robert Boyle, with a view to explicating what the twentieth-century French philosopher Gilles Deleuze considers to be the difference between science and philosophy. The two main themes that are usually drawn from the correspondence of Boyle and Spinoza, and used to polarize the exchange, are the different views on scientific methodology and on the nature of matter that are attributed to each correspondent. Commentators (...)
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  18. Simon B. Duffy (2006). The Logic of Expression: Quality, Quantity and Intensity in Spinoza, Hegel and Deleuze. Ashgate.
    An examination of Deleuze’s reading of Spinoza, that focuses on how Spinoza becomes a significant figure in Deleuze’s project of tracing an alternative lineage in the history of philosophy, which, by distancing itself from Hegelian idealism, culminates in the construction of a philosophy of difference. By exploiting the implication of the differential point of view of the infinitesimal calculus in his reading of Spinoza, Deleuze presents Spinoza’s metaphysics as determined according to a ‘logic of expression’. This logic is offered as (...)
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  19. Simon B. Duffy (2006). The Mathematics of Deleuze’s Differential Logic and Metaphysics. In , Virtual Mathematics: the logic of difference. Clinamen.
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  20. Simon B. Duffy (ed.) (2006). Virtual Mathematics: The Logic of Difference. Clinamen.
    Of all twentieth century philosophers, it is Gilles Deleuze whose work agitates most forcefully for a worldview privileging becoming over being, difference over sameness; the world as a complex, open set of multiplicities. Nevertheless, Deleuze remains singular in enlisting mathematical resources to underpin and inform such a position, refusing the hackneyed opposition between ‘static’ mathematical logic versus ‘dynamic’ physical world. This is an international collection of work commissioned from foremost philosophers, mathematicians and philosophers of science, to address the wide range (...)
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  21. Simon B. Duffy (2004). Schizo-Math: The Logic of Different/Ciation and the Philosophy of Difference. Angelaki 9 (3):199 – 215.
    In the paper “Math Anxiety,” Aden Evens explores the manner by means of which concepts are implicated in the problematic Idea according to the philosophy of Gilles Deleuze. The example that Evens draws from Difference and Repetition in order to demonstrate this relation is a mathematics problem, the elements of which are the differentials of the differential calculus. What I would like to offer in the present paper is an historical account of the mathematical problematic that Deleuze deploys in his (...)
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  22. Simon B. Duffy (2004). The Logic of Expression in Deleuze's Expressionism in Philosophy: Spinoza: A Strategy of Engagement. International Journal of Philosophical Studies 12 (1):47 – 60.
    According to the reading of Spinoza that Gilles Deleuze presents in Expressionism in Philosophy: Spinoza, Spinoza's philosophy should not be represented as a moment that can be simply subsumed and sublated within the dialectical progression of the history of philosophy, as it is figured by Hegel in the Science of Logic, but rather should be considered as providing an alternative point of view for the development of a philosophy that overcomes Hegelian idealism. Indeed, Deleuze demonstrates, by means of Spinoza, that (...)
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