- Tytuł:
-
Systemy sylogistyki dowodowej
Systems of Demonstrative Syllogistic - Autorzy:
- Kulicki, Piotr
- Powiązania:
- https://bibliotekanauki.pl/articles/2012933.pdf
- Data publikacji:
- 2010
- Wydawca:
- Katolicki Uniwersytet Lubelski Jana Pawła II. Towarzystwo Naukowe KUL
- Tematy:
-
sylogistyka
dowód
aksjomatyczne odrzucanie
syllogistic
proof
rejected axiomatization - Opis:
- Aristotle in Analytica Posteriora presented a notion of proof as a special case of syllogism. In the present paper the remarks of Aristotle on the subject are used as an inspiration for developing formal systems of demonstrative syllogistic, which are supposed to formalize syllogisms that are proofs. We build our systems in the style of J. Łukasiewicz as theories based on classical propositional logic. The difference between our systems and systems of syllogistic known from the literature lays in the interpretation of general positive sentences in which the same name occurs twice (of the form SaS). As a basic assumption of demonstrative syllogistic we accept a negation of such a sentence. We present three systems which differ in the interpretation of specific positive sentences in which the same name occurs twice (of the form SiS). The theories are defined as axiomatic systems. For all of them rejected axiomatizations are also supplied. For two of them a set theoretical model is also defined.
- Źródło:
-
Roczniki Filozoficzne; 2010, 58, 1; 139-154
0035-7685 - Pojawia się w:
- Roczniki Filozoficzne
- Dostawca treści:
- Biblioteka Nauki