Abstract

Nicolaus Cusanus' thought appears in much to anticipate or run in the direction of modern philosophy, especially that of Leibniz, in particular what concerns his - for the middle ages novel - mathematical reasoning. This article pursues the singularity of the mathematics of both thinkers back to their theological or philosophical intention. Continuity from Cusanus to Leibniz must thus be seen as problematical not only in relation to the infinitesimal calculus. Cusanus adheres, particularly in his specialist mathematical calculations, to the impossibility of continuous transitions and accordingly also of an exact squaring of the circle. Within this limit he seeks the proximity of God in his absolute distinction from all that is finite. Leibniz, on the other hand, achieves the exact calculation of the number π with the support of the continuity principle. This refers not only to God's absolute freedom in the choice of the best but points to a modern mediation between finite and infinite, just that which is rejected by Cusanus