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. IOS Press. 37–48 (2004)
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.
Keywords temporal mereology  aggregates  sets vs. collections vs. wholes
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