Models, Mathematics and Deleuze's Philosophy: A Reply to Williams

Deleuze and Guatarri Studies 11 (3):481-489 (2017)

Authors
Simon B. Duffy
Yale-NUS College
Abstract
Rather than defend each instance of problem suggested by Williams, what I propose to do is to respond by making two clarificatory points: first, I rule out two ways of understanding mathematical problems that might be clouding the water; and then, second, I further characterise how Deleuze thinks some mathematical problems, two in particular, are not just examples of mathematical problems, but provide mathematical models for what a mathematical problem in general can be understood to be. This is important because it is how mathematical problems can be modelled in mathematics that provides Deleuze with a model for how problems can be modelled in other discourses. This will then get to the bottom of what is at stake in my approach to Deleuze and to Deleuze studies in general.
Keywords Deleuze  mathematics  problems
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DOI 10.3366/dls.2017.0278
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