Two types of ontological structure. Concepts Structures and lattices of elementary situations
DOI:
https://doi.org/10.12775/LLP.2012.009Słowa kluczowe
formal (formalized) ontology, ontology of situations, concepts structure, latticeAbstrakt
In 1982, Wolniewicz proposed a formal ontology of situations based on the lattice of elementary situations (cf. [7, 8]). In [3], I constructed some types of formal structure Porphyrian Tree Structures (PTS), Concepts Structures (CS) and the Structures of Individuals (U) that formally represent ontologically fundamental categories: species and genera (PTS), concepts (CS) and individual beings (U) (cf. [3, 4]). From an ontological perspective, situations and concepts belong to different categories. But, unexpectedly, as I shall show, some variants of CS and Wolniewicz’s lattice are similar. The main theorem states that a subset of a modified concepts structure (called CS+) based on CS fulfils the axioms of Wolniewicz’ lattice. Finally, I shall draw some philosophical conclusions and state some formal facts.Bibliografia
Hawranek, J., and J. Zygmunt, “Some elementary properties of conditionally distributive lattices”, Bulletin of the Section of Logic 12, 3 (1983): 117–120.
Kaczmarek, J., “Positive and negative Properties. A Logical Interpretation”, Bulletin of the Section of Logic 32, 4 (2003): 179–189.
Kaczmarek, J., Indywidua. Idee. Pojęcia. Badania z zakresu ontologii sformalizowanej (Individuals. Ideas. Concepts. Investigations on formalized ontology), Wyd. UŁ, Łódź 2008.
Kaczmarek, J., “What is a formalized ontology today? An example of IIC”, Bulletin of the Section of Logic 37, 3/4 (2008): 233–244.
Nasieniewski, M., and A. Pietruszczak, “An elementary proof of equivalence of conditions in definition of conditionally distributive lattices”, Bulletin of the Section of Logic 26, 4 (1997): 193–196.
Pawlak, Z., “Information systems – theoretical foundations”, Information systems 6, 3 (1981): 205–218.
Wolniewicz, B., “A formal ontology of situations”, Studia Logica 41, 4 (1982): 381–413.
Wolniewicz, B., Ontologia sytuacji (Ontology of Situations), PWN, Warszawa, 1985.
Wolniewicz, B., Logic and Metaphysics. Studies in Wittgenstein’s Ontology of Facts, Biblioteka Myśli Semiotycznej, no 45, J. Pelc (ed.), Warszawa, 1999.
Pobrania
Opublikowane
Jak cytować
Numer
Dział
Statystyki
Liczba wyświetleń i pobrań: 390
Liczba cytowań: 0