Individuals, universals, collections: On the foundational relations of ontology

In Achille Varzi Laure Vieu (ed.), ”, Formal Ontology in Information Systems. Proceedings of the Third International Conference. Amsterdam: IOS Press. pp. 37–48 (2004)
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Abstract
This paper provides an axiomatic formalization of a theory of foundational relations between three categories of entities: individuals, universals, and collections. We deal with a variety of relations between entities in these categories, including the is-a relation among universals and the part-of relation among individuals as well as cross-category relations such as instance-of, member-of, and partition-of. We show that an adequate understanding of the formal properties of such relations – in particular their behavior with respect to time – is critical for formal ontology. We provide examples to support this thesis from the domain of biomedicine.
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