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Simon B. Duffy [10]Simon Duffy [8]Simon John Duffy [1]
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Simon B. Duffy
Yale-NUS College
Simon John Duffy
University of Birmingham
  1. Spinoza Today: The Current State of Spinoza Scholarship.Simon B. Duffy - 2009 - 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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  2. Maimon’s Theory of Differentials As The Elements of Intuitions.Simon Duffy - 2014 - International Journal of Philosophical Studies 22 (2):1-20.
    Maimon’s theory of the differential has proved to be a rather enigmatic aspect of his philosophy. By drawing upon mathematical developments that had occurred earlier in the century and that, by virtue of the arguments presented in the Essay and comments elsewhere in his writing, I suggest Maimon would have been aware of, what I propose to offer in this paper is a study of the differential and the role that it plays in the Essay on Transcendental Philosophy (1790). In (...)
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  3. Virtual Mathematics: The Logic of Difference.Simon B. Duffy (ed.) - 2006 - 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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  4. Deleuze, Leibniz and Projective Geometry in the Fold.Simon Duffy - 2010 - 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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  5. Schizo‐Math.Simon Duffy - 2004 - 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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  6. The Difference Between Science and Philosophy: The Spinoza-Boyle Controversy Revisited.Simon Duffy - 2006 - 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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  7.  72
    Leibniz, Mathematics and the Monad.Simon Duffy - 2010 - In Sjoerd van Tuinen & Niamh McDonnell (eds.), Deleuze and the Fold: A Critical Reader. Palgrave-Macmillan. pp. 89--111.
    The reconstruction of Leibniz’s metaphysics that Deleuze undertakes in The Fold provides a systematic account of the structure of Leibniz’s metaphysics in terms of its mathematical foundations. However, in doing so, Deleuze draws not only upon the mathematics developed by Leibniz—including the law of continuity as reflected in the calculus of infinite series and the infinitesimal calculus—but also upon developments in mathematics made by a number of Leibniz’s contemporaries—including Newton’s method of fluxions. He also draws upon a number of subsequent (...)
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  8.  75
    The Question of Deleuze’s Neo-Leibnizianism.Simon B. Duffy - 2012 - In Patricia Pisters & Rosi Braidotti (eds.), Down by Law: Revisiting Normativity with Deleuze. Bloomsbury Academic.
    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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  9. The Differential Point of View of the Infinitesimal Calculus in Spinoza, Leibniz and Deleuze.Simon Duffy - 2006 - 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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  10.  46
    Badiou’s Platonism: The Mathematical Ideas of Post-Cantorian Set-Theory.Simon B. Duffy - 2012 - In Sean Bowden & Simon B. Duffy (eds.), Badiou and Philosophy. Edinburgh University Press.
    Plato’s philosophy is important to Badiou for a number of reasons, chief among which is that Badiou considered Plato to have recognised that mathematics provides the only sound or adequate basis for ontology. The mathematical basis of ontology is central to Badiou’s philosophy, and his engagement with Plato is instrumental in determining how he positions his philosophy in relation to those approaches to the philosophy of mathematics that endorse an orthodox Platonic realism, i.e. the independent existence of a realm of (...)
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  11.  70
    Deleuze and the Mathematical Philosophy of Albert Lautman.Simon B. Duffy - 2009 - In Jon Roffe & Graham Jones (eds.), Deleuze’s Philosophical Lineage. Edinburgh University Press.
    In the chapter of Difference and Repetition entitled ‘Ideas and the synthesis of difference,’ Deleuze mobilizes mathematics to develop a ‘calculus of problems’ that is based on the mathematical philosophy of Albert Lautman. Deleuze explicates this process by referring to the operation of certain conceptual couples in the field of contemporary mathematics: most notably the continuous and the discontinuous, the infinite and the finite, and the global and the local. The two mathematical theories that Deleuze draws upon for this purpose (...)
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  12. An Intuitionist Response to Moral Scepticism: A Critique of Mackie's Scepticism, and an Alternative Proposal Combining Ross's Intuitionism with a Kantian Epistemology.Simon John Duffy - 2001 - Dissertation, University of Edinburgh
    This thesis sets out an argument in defence of moral objectivism. It takes Mackie as the critic of objectivism and it ends by proposing that the best defence of objectivism may be found in what I shall call Kantian intuitionism, which brings together elements of the intuitionism of Ross and a Kantian epistemology. The argument is fundamentally transcendental in form and it proceeds by first setting out what we intuitively believe, rejecting the sceptical attacks on those beliefs, and by then (...)
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  13.  34
    Deleuze and the Pragmatist Priority of Subject Naturalism.Simon B. Duffy - 2015 - In Sean Bowden & Simone Bignall (eds.), Deleuze and Pragmatism. London: Routledge. pp. 199-215.
    The aim of this chapter is to test the degree to which Deleuze’s philosophy can be reconciled with the subject naturalist approach to pragmatism put forward by Macarthur and Price.
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  14.  41
    Deleuze and the Conceptualizable Character of Mathematical Theories.Simon B. Duffy - 2017 - In Nathalie Sinclair & Alf Coles Elizabeth de Freitas (ed.), What is a Mathematical Concept? Cambridge University Press.
    To make sense of what Gilles Deleuze understands by a mathematical concept requires unpacking what he considers to be the conceptualizable character of a mathematical theory. For Deleuze, the mathematical problems to which theories are solutions retain their relevance to the theories not only as the conditions that govern their development, but also insofar as they can contribute to determining the conceptualizable character of those theories. Deleuze presents two examples of mathematical problems that operate in this way, which he considers (...)
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  15. Review of Michael Hunter, The Boyle Papers: Understanding the Manuscripts of Robert Boyle (Ashgate, 2007). [REVIEW]Simon B. Duffy - 2008 - Reviews in the Enlightenment 1.
    Michael Hunter, The Boyle Papers: Understanding the Manuscripts of Robert Boyle. With contributions by Edward B. Davis, Harriet Knight, Charles Littleton and Lawrence M. Principe. Aldershot, England; Burlington, VT: Ashgate, 2007. Pp. xiii + 674. US$139.95/£70.00 HB. -/- The publication by Michael Hunter of this revised edition of the catalogue of the Boyle Papers contributes admirably to the renaissance in Boyle studies which has taken place over the past decade and a half. Robert Boyle (1627–91), arguably the most influential British (...)
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  16.  47
    Review of Michiel Wielema’s The March of the Libertines. Spinozists and the Dutch Reformed Church (1660 – 1750) (Verloren, 2004). [REVIEW]Simon B. Duffy - 2006 - Journal of Religious History 30 (1):122-3.
    Michiel Wielema: The March of the Libertines. Spinozists and the Dutch Reformed Church (1660–1750). ReLiC: Studies in Dutch Religious History. Hilversum: Uitgeverij Verloren, 2004; pp. 221. The Dutch Republic of the seventeenth century is famous for having cultivated an extraordinary climate of toleration and religious pluralism — the Union of Utrecht supported religious freedom, or “freedom of conscience”, and expressly forbade reli- gious inquisition. However, despite membership in the state sponsored Calvinist Dutch Reformed Church not being compulsory, the freedom to (...)
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  17. The Logic of Expression in Deleuze's Expressionism in Philosophy: Spinoza: A Strategy of Engagement.Simon Duffy - 2004 - 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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  18. The Role of Mathematics in Deleuze’s Critical Engagement with Hegel.Simon Duffy - 2009 - 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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  19.  55
    The Role of Joyful Passions in Spinoza’s Theory of Relations.Simon B. Duffy - 2011 - In Dimitris Vardoulakis (ed.), Spinoza Now. Minnesota University Press.
    The theme of the conflict between the different interpretations of Spinoza’s philosophy in French scholarship, introduced by Christopher Norris in this volume and expanded on by Alain Badiou, is also central to the argument presented in this chapter. Indeed, this chapter will be preoccupied with distinguishing the interpretations of Spinoza by two of the figures introduced by Badiou. The interpretation of Spinoza offered by Gilles Deleuze in Expressionism in Philosophy provides an account of the dynamic changes or transformations of the (...)
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