PL EN


2009 | 8 | 79-90
Article title

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

Authors
Title variants
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.
Year
Volume
8
Pages
79-90
Physical description
Document type
ARTICLE
Contributors
  • Mateusz Hohol, Uniwersytet Papieski Jana Pawla II w Krakowie, Wydzial Filozofii, ul. Kanonicza 9, 31-002 Kraków, Poland
References
Document Type
Publication order reference
Identifiers
CEJSH db identifier
10PLAAAA080524
YADDA identifier
bwmeta1.element.53d7c8b8-df20-30c0-aa18-fbc19b7b235a
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