Logic and Logical Philosophy 21 (2):165-174 (2012)

Abstract
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
Keywords lattice  formal (formalized) ontology  concepts structure  ontology of situations
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DOI 10.12775/LLP.2012.009
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References found in this work BETA

A Formal Ontology of Situations.Bogus?aw Wolniewicz - 1982 - Studia Logica 41 (4):381 - 413.
What is a Formalized Ontology Today? An Example of IIC.Janusz Kaczmarek - 2008 - Bulletin of the Section of Logic 37 (3/4):238-244.
Positive and Negative Properties. A Logical Interpretation.Janusz Kaczmarek - 2003 - Bulletin of the Section of Logic 32 (4):179-189.
Some Elementary Properties of Conditionally Distributive Lattices.Jacek Hawranek & Jan Zygmunt - 1983 - Bulletin of the Section of Logic 12 (3):117-120.

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