ROGER PENROSE - PYTHAGOREAN OF COMPLEX NUMBERS? (Roger Penrose - pitagorejczyk zespolony?)

• Authors: Hohol Mateusz
• Languages of publication: PL

Abstracts

EN

Roger Penrose's philosophy of mathematics reaches beyond what is normally understood as mathematical platonism. In this article, the pythagorean threat in Penrose's philosophy of mathematics is reflected upon. Firstly, Roger Penrose's three worlds 'global' ontology is presented. Secondly, basic differences between mathematical platonism and original platonic concept of mathematics are pointed out, followed by the demonstration of the pythagoreist clue in Penrose's philosophy. From the data presented, it can be concluded that the primary criterion of the distinction between mathematical platonism and mathematical pythagoreanism is, as it appears, the category of causality. In platonism, the mathematical entities are considered as epiphenomenal whereas in pythagoreism as real causes of the physical world.

Keywords

EN

COMPLEX NUMBERS; MATHEMATICAL PLATONISM; MATHEMATICAL PYTHAGOREANISM; PENROSE ROBERT; PHILOSOPHY OF MATHEMATICS

Discipline

• PHILOSOPHY: PHILOSOPHY

• Publisher: Uniwersytet Papieski Jana Pawła II w Krakowie
• Journal: Semina Scientiarum
• Year: 2009
• Volume: 8
• Pages: 79-90
• Document type: ARTICLE

Contributors

author

Hohol Mateusz

• Mateusz Hohol, Uniwersytet Papieski Jana Pawla II w Krakowie, Wydzial Filozofii, ul. Kanonicza 9, 31-002 Kraków, Poland

Identifiers

CEJSH db identifier

10PLAAAA080524