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A Generalisation of a Refutation-related Method in Paraconsistent Logics

100%
Trybus A.
Logic and Logical Philosophy
|
2018
|
vol. 27
|
issue 2
235-261
EN
This article describes a refutation method of proving maximality of three-valued paraconsistent logics. After outlining the philosophical background related to paraconsistent logics and the refutation approach to modern logic, we briefly describe how these two areas meet in the case of maximal paraconsistent logics. We focus on a method of proving maximality introduced in [34] and [37] that has the benefit of being simple and effective. We show how the method works on a number of examples, thus emphasising the fact that it provides a unifying approach to the search for maximal paraconsistent logics. Finally, we show how the method can be generalised to cover a wide range of paraconsistent logics. We also conduct a small experimental setting that confirms the theoretical results.
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Uwagi do artykułu p. Danuty Dzierzkowskiej o życiu i pracy ks. Bronisława Ussasa

75%
Aleksandrowicz B.
Archiwa, Biblioteki i Muzea Kościelne
|
1982
|
vol. 45
397-398
EN
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3
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Basil the Great’s references to Eunomius

63%
Kochańczyk-Bonińska K.
Vox Patrum
|
2017
|
vol. 68
119-128
PL
W artykule porównano teksty Apologii Eunomiusza i traktatu Adversus Eu-nomium Bazylego Wielkiego. W rezultacie wykazano, że traktat Bazylego to ty­powe refutatio, w którym autor punkt po punkcie odpiera argumenty przeciwnika, a w swych odniesieniach jest, jak na zwyczaje antyczne, niezwykle dokładny. Bazyli systematycznie cytuje mniej więcej jedną trzecią tekstu Apologii, a fakt pominięcia niektórych rozdziałów da się uzasadnić poprzez strukturę dzieła Eunomiusza lub kontekst historyczny. Wyjątek stanowią rozdziały 21-24, w których Eunomiusz analizuje problematykę substancji i działania. Wydaje się, że Bazyli celowo omija trudny dla niego temat, z którym jeszcze nie jest w stanie się zmierzyć.
EN
This article presents a comparative analysis of Eunomius’ Liber Apologetius and Basil of Cesarea’s Adversus Eunomium. As a result, we can discover that Basil wrote his treatise as a typical refutation and is quite precise when refer­ring to Eunomius. Despite some omissions that can be explained basing on the structure of The Eunomian work or historical context, we can find one important omission which is strongly connected with one of the most important topics of the anti-Eunomian polemic. Although Basil pretends to comment Eunomius’ Liber Apologeticus systematically, he deliberately skips one of the most important ele­ments of his adversary’s teaching.
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