Wszystkie pola: Pietruszczak, S. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On the Definability of Leśniewski’s Copula ‘is’ in Some Ontology-Like Theories
Autorzy:: Łyczak, Marcin
Pietruszczak, Andrzej
Powiązania:: https://bibliotekanauki.pl/articles/749926.pdf
Data publikacji:: 2018
Wydawca:: Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:: elementary ontology
quantifier-free fragment of ontology
ontology-like theories
copula ‘is’
calculus of names
Leśniewski's ontology
subtheories of Leśniewski’s ontology
Opis:: We formulate a certain subtheory of Ishimoto’s [1] quantifier-free fragment of Leśniewski’s ontology, and show that Ishimoto’s theory can be reconstructed in it. Using an epimorphism theorem we prove that our theory is complete with respect to a suitable set-theoretic interpretation. Furthermore, we introduce the name constant 1 (which corresponds to the universal name ‘object’) and we prove its adequacy with respect to the set-theoretic interpretation (again using an epimorphism theorem). Ishimoto’s theory enriched by the constant 1 is also reconstructed in our formalism with into which 1 has been introduced. Finally we examine for both our theories their quantifier extensions and their connections with Leśniewski’s classical quantified ontology.
Źródło:: Bulletin of the Section of Logic; 2018, 47, 4
0138-0680
2449-836X
Pojawia się w:: Bulletin of the Section of Logic
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: On Theses Without Iterated Modalities of Modal Logics Between C1 and S5. Part 1
Autorzy:: Pietruszczak, Andrzej
Powiązania:: https://bibliotekanauki.pl/articles/749944.pdf
Data publikacji:: 2017
Wydawca:: Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:: first-degree theses of modal logics
theses without iterated modalities
Pollack’s theory of Basic Modal Logic
basic theories for modal logics between C1 and S5
Opis:: This is the first, out of two papers, in which we identify all logics between C1 and S5 having the same theses without iterated modalities. All these logics canbe divided into certain groups. Each such group depends only on which of thefollowing formulas are theses of all logics from this group: (N), (T), (D), ⌜(T)∨ ☐q⌝,and for any n > 0 a formula ⌜(T) ∨ (altn)⌝, where (T) has not the atom ‘q’, and(T) and (altn) have no common atom. We generalize Pollack’s result from [12],where he proved that all modal logics between S1 and S5 have the same theseswhich does not involve iterated modalities (i.e., the same first-degree theses).
Źródło:: Bulletin of the Section of Logic; 2017, 46, 1/2
0138-0680
2449-836X
Pojawia się w:: Bulletin of the Section of Logic
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: On Theses without Iterated Modalities of Modal Logics Between C1 and S5. Part 2
Autorzy:: Pietruszczak, Andrzej
Powiązania:: https://bibliotekanauki.pl/articles/750008.pdf
Data publikacji:: 2017
Wydawca:: Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:: first-degree theses of modal logics
theses without iterated modalities
Pollack’s theory of Basic Modal Logic
basic theories for modal logics between C1 and S5
Opis:: This is the second, out of two papers, in which we identify all logics between C1 and S5 having the same theses without iterated modalities. All these logics can be divided into certain groups. Each such group depends only on which of the following formulas are theses of all logics from this group: (N), (T), (D), ⌜(T)∨☐q⌝, and for any n > 0 a formula ⌜(T) ∨ (altn)⌝, where (T) has not the atom ‘q’, and (T) and (altn) have no common atom. We generalize Pollack’s result from [1], where he proved that all modal logics between S1 and S5 have the same theses which does not involve iterated modalities (i.e., the same first-degree theses).
Źródło:: Bulletin of the Section of Logic; 2017, 46, 3/4
0138-0680
2449-836X
Pojawia się w:: Bulletin of the Section of Logic
Dostawca treści:: Biblioteka Nauki

Artykuł

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