- Tytuł:
- The Method of Socratic Proofs Meets Correspondence Analysis
- Autorzy:
-
Leszczyńska-Jasion, Dorota
Petrukhin, Yaroslav
Shangin, Vasilyi - Powiązania:
- https://bibliotekanauki.pl/articles/749950.pdf
- Data publikacji:
- 2019
- Wydawca:
- Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
- Tematy:
-
Socratic proofs
correspondence analysis
invertible rule
inferential erotetic logic
classical propositional logic
sequent calculus - Opis:
- The goal of this paper is to propose correspondence analysis as a technique for generating the so-called erotetic (i.e. pertaining to the logic of questions) calculi which constitute the method of Socratic proofs by Andrzej Wiśniewski. As we explain in the paper, in order to successfully design an erotetic calculus one needs invertible sequent-calculus-style rules. For this reason, the proposed correspondence analysis resulting in invertible rules can constitute a new foundation for the method of Socratic proofs. Correspondence analysis is Kooi and Tamminga's technique for designing proof systems. In this paper it is used to consider sequent calculi with non-branching (the only exception being the rule of cut), invertible rules for the negation fragment of classical propositional logic and its extensions by binary Boolean functions.
- Źródło:
-
Bulletin of the Section of Logic; 2019, 48, 2; 99-116
0138-0680
2449-836X - Pojawia się w:
- Bulletin of the Section of Logic
- Dostawca treści:
- Biblioteka Nauki
Artykuł