The aim of this paper is to analyze, based on Plato's and commentators' texts, the presentation of arguments for the use of mathematics and geometry as propaedeutics to philosophy learning, as well as to investigate the reverberations of platonic ontology and epistemology in this pedagogical program. The paper will also consider similarities between crises in the foundations of mathematics and the impact of these crises on the conception of rationality, both in ancient Greek universe and in contemporary world.
Philosophy; Mathematics; Rationality; Irrationality; Platonism