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  1. 1 Zagadnienia Filozoficzne w Nauce

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  1. 1 Wójtowicz K.

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Rozumienie dowodu matematycznego a zagadnienie wyjaśnienia w matematyce

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Wójtowicz K.
Zagadnienia Filozoficzne w Nauce
|
2015
|
issue 58
89-114
EN
In the article, I present two possible points of view concerning mathematical proofs: (a) the formal view (according to which the formalized versions of mathematical proofs reveal their “essence”); (b) the semantic view (according to which mathematical proofs are sequences of intellectual acts, and a form of intuitive “grasp” is crucial). The problem of formalizability of mathematical proofs is discussed, as well as the problem of explanation in mathematics – in particular the problem of explanatory versus non-explanatory character of mathematical proofs. I argue, that this problem can be analyzed in a fruitful way only from the semantic point of view.
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