Mathematical Proof – Argumentation or Derivation? – Part II Cover Image

Dowód matematyczny – argumentacja czy derywacja? – część II
Mathematical Proof – Argumentation or Derivation? – Part II

Author(s): Krzysztof Wójtowicz
Subject(s): Philosophy of Science
Published by: Copernicus Center Press
Keywords: philosophy of mathematics; mathematical proof; formal derivation; derivation-indicator view; philosophy of science;

Summary/Abstract: In the first part of the paper, Azzouni’s derivation–indicator view was presented. In the second part it is analyzed in a detailed way. It is shown, that many problems arise, which cannot be explained in a satisfactory way in Azzouni’s theory, in particular the problem of the explanatory role of proof, of its epistemic role; the relationship between first–order and second–order versions of proofs is also not clear. It is concluded, that Azzouni’s theory does not provide a satisfactory account of mathematical proof, but inspires an interesting discussion. In the article, some of the mentioned problems are discussed.

  • Issue Year: 2011
  • Issue No: 49
  • Page Range: 81-97
  • Page Count: 17
  • Language: Polish