- Tytuł:
-
Rozumienie dowodu matematycznego a zagadnienie wyjaśnienia w matematyce
The Notion of Mathematical Proof and the Problem of Explanation in Mathematics - Autorzy:
- Wójtowicz, Krzysztof
- Powiązania:
- https://bibliotekanauki.pl/articles/690770.pdf
- Data publikacji:
- 2015
- Wydawca:
- Copernicus Center Press
- Tematy:
-
philosophy of mathematics
mathematical proof
explanation in mathematics
explanatory proofs
mathematical intuition - Opis:
- 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.
- Źródło:
-
Zagadnienia Filozoficzne w Nauce; 2015, 58; 89-114
0867-8286
2451-0602 - Pojawia się w:
- Zagadnienia Filozoficzne w Nauce
- Dostawca treści:
- Biblioteka Nauki
Artykuł