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Problems in the relation between maths and philosophy

In Simon Duffy (ed.), Virtual Mathematics: the logic of difference. Clinamen. pp. 169--186 (2006)

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  1. The Mathematical Event: Mapping the Axiomatic and the Problematic in School Mathematics. [REVIEW]Elizabeth de Freitas - 2013 - Studies in Philosophy and Education 32 (6):581-599.
    Traditional philosophy of mathematics has been concerned with the nature of mathematical objects rather than events. This traditional focus on reified objects is reflected in dominant theories of learning mathematics whereby the learner is meant to acquire familiarity with ideal mathematical objects, such as number, polygon, or tangent. I argue that the concept of event—rather than object—better captures the vitality of mathematics, and offers new ways of thinking about mathematics education. In this paper I draw on two different but related (...)
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  • Philosophy and the sciences in the work of Gilles Deleuze, 1953-1968.David James Allen - unknown
    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 (...)
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  • Deleuze and Epicurean Philosophy: Atomic Speed and Swerve Speed.Michael James Bennett - 2013 - Journal of French and Francophone Philosophy 21 (2):131-157.
    This paper reconstructs Gilles Deleuze’s interpretation of Epicurean atomism, and explicates his claim that it represents a problematic idea, similar to the idea exemplified in early, “barbaric” accounts of the differential calculus. Deleuzian problematic ideas are characterized by a mechanism through whose activity the components of the idea become determinate in relating reciprocally to one another, rather than in being determined exclusively in relation to an extrinsic paradigm or framework. In Epicurean atomism, as Deleuze reads it, such a mechanism of (...)
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  • The Ethics of Political Resistance: Althusser, Badiou, Deleuze.Henry Chris - 2019 - Edinburgh: Edinburgh University Press.
    A new ontology that forms the groundwork for ethical practices of resistance What and how should individuals resist in political situations? While these questions recur regularly within Western political philosophy, answers to them have often relied on dogmatically held ideals, such as the distinction between truth and doxa or the privilege of thought over sense. In particular, the strain of idealist political philosophy, inaugurated by Plato and finding contemporary expression in the work of Alain Badiou, employs dualities that reduce the (...)
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