A modal approach to dynamic ontology: modal mereotopology

Logic and Logical Philosophy 17 (1-2):163-183 (2008)
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Abstract

In this paper we show how modal logic can be applied in the axiomatizations of some dynamic ontologies. As an example we consider the case of mereotopology, which is an extension of mereology with some relations of topological nature like contact relation. We show that in the modal extension of mereotopology we may define some new mereological and mereotopological relations with dynamic nature like stable part-of and stable contact. In some sense such “stable” relations can be considered as approximations of the “essential relations” in the domain of mereotopology

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Essence and modality.Kit Fine - 1994 - Philosophical Perspectives 8 (Logic and Language):1-16.
Point, line, and surface, as sets of solids.Theodore de Laguna - 1922 - Journal of Philosophy 19 (17):449-461.

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