Mathematical Proof – Argumentation or Derivation? – Part II

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Krzysztof Wójtowicz

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.

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Mathematical Proof – Argumentation or Derivation? – Part II. (2011). Philosophical Problems in Science (Zagadnienia Filozoficzne W Nauce), 49, 81-97. https://www.zfn.edu.pl/index.php/zfn/article/view/121