O Realismo platônico na Filosofia da Matemática de Roger Penrose como fundamento da Teoria dos Três Mundos

Abstract

The current research has the general objective of exploring the importance of Platonic realism in the philosophy of mathematics. . An interpretative/critical analysis of the works of Plato (428/427-348/347 BC) and Penrose (1931-) was carried out, since both thinkers base themselves on mathematics as a rational entity and organizer of the universe. Both start from the principle that the cosmos has a rational nature.However, this rationality is based on real abstract entities that are independent of us, such as mathematics. For the ancient philosopher and the contemporary physicist-mathematician, mathematics is a real ontological entity that exerts a direct influence on the physical world. Physical phenomena are, therefore, expressions of a superior world that orders them. Therefore, phenomena are, therefore, expressions of a superior world that orders them. Therefore, Plato and Penrose start from the assumption of the existence of an objective reality, placing emphasis on mathematics.