Selected Arguments of Roger Penrose for Platonism

Abstract

While presenting an interpretation of numerous problems of mathematics, physics and biology, Roger Penrose developed a philosophical idea, which is in some ways compatible with the philosophy of Plato. The arguments are classified as follows:
- Platonic existence of mathematical objects,
- existence of reason for the accord between the mathematical world and the physical world,
- non-algorithmic nature of mathematical insight.
- existence of non-recursive physical processes.

The problems Penrose discusses pose questions, which do not have one and unambiguous answer. However, the importance of Penrose’s contribution to philosophy is the outline of rational and critical perspective of particular sciences and philosophy itself.