Two types of ontological structure. Concepts Structures and lattices of elementary situations

Janusz Kaczmarek



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.


formal (formalized) ontology; ontology of situations; concepts structure; lattice

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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.

ISSN: 1425-3305 (print version)

ISSN: 2300-9802 (electronic version)

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