119. When Deleuze and Guattari comment on ‘the “intuitionist” school (Brouwer, Heyting, Griss, Bouligand, etc.),’ they insist that it ‘is of great importance in mathematics, not because it asserted the irreducible rights of intuition, or even because it elaborated a very novel constructivism, but because it developed a conception of problems, and of a calculus of problems that intrinsically rivals axiomatics and proceeds by other rules (notably with regard to the excluded middle)’ (TP 570 n. 61). Deleuze extracts this concept of the calculus of problems itself as a mathematical problematic from the episode in the history of mathematics when intuitionism opposed axiomatics. It is the logic of this calculus of problems that he then redeploys in relation to a range of episodes in the history of mathematics that in no way binds him to the principles of intuitionism. See Duffy, ‘Deleuze and Mathematics’, in Duffy (ed.),Virtual Mathematics: The Logic of Difference, pp. 2–6.
120. For a brief account of Deleuze’s enagement with Galois see Gilles Châtelet, ‘Interlacing the Singularity, the Diagram and the Metaphor’, trans. S. Duffy, in Duffy (ed.),Virtual Mathematics: The Logic of Difference, p. 41; Salanskis, ‘Mathematics, Metaphysics, Philosophy’, in Virtual Mathematics pp. 52–3; Salanskis, ‘Pour une épistémologie de la lecture’; Daniel W. Smith, ‘Axiomatics and Problematics as Two Modes of Formalisation: Deleuze’s Epistemology of Mathematics’, in Duffy (ed.), Virtual Mathematics: The Logic of Difference, pp. 159–63.
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