El esquematismo y los números: La confrontación Richir – Dedekind en la Cuarta Recherche Phénoménologique

Abstract

This article examines the confrontation proposed by Richir in his fourth Phenomenological investigation between its own phenomenology and the question of the foundations of mathematics, through Dedekind’work. First of all, we will analyse Richir’s critical approach of the famous Dededind’s essay about numbers (Was sind und was sollen die Zahlen, 1887). Secondly, we’ll examine two consequences drawed by Richir for his own phenomenological approach: the requirement of a phenomenological epistemology; and the notion a phenomenological schematism, that makes possible rhythm of couting, that defines the elementary act of counting and structure thus intrinsically the set of natural numbers.