Abstract

In 1932 Kolmogorov created a calculus of problems. This calculus became known to Deleuze through a 1945 paper by Paulette Destouches-Février. In it, he ultimately recognised a deepening of mathematical intuitionism. However, from the beginning, he proceeded to show its limits through a return to the Leibnizian project of Calculemus taken in its metaphysical stance. In the carrying out of this project, which is illustrated through a paradigm borrowed from Spinoza, the formal parallelism between problems, Leibnizian themes and Peircean rhemes provides the key idea. By relying on this parallelism and by spreading the dialectic defined by Lautman with its ‘logical drama’ onto a Platonic perspective, we will attempt to obtain Deleuze's full calculus of problems. In investigating how the same Idea may be in mathematics and in philosophy, we will proceed to show how this calculus of problems qualifies not only as a paradigm of the Idea but also as the apex of transdiciplinarity