Three Idealist Interpretations of Differential Calculus: Maimon, Hegel, Cohen

Hernán Pringe

In this work I will compare three idealist interpretations of differential calculus, to wit: those of Salomon Maimon, Georg W. F. Hegel and Hermann Cohen. I will show that, in all of them, the infinitesimal expresses the qualitative and quantitative determination and thus results in a key instance of the construction of the real. In other words, through differential calculus, thinking constitutes being. Notwithstanding , I will also show important differences between these three interpretations, which will imply in variants within the relation of metaphysics, mathematics and natural science.