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. 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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First archival date: 2013-07-17
Latest version: 2 (2014-08-02)
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Fiat and Bona Fide Boundaries.Barry Smith & Achille C. Varzi - 2000 - Philosophy and Phenomenological Research 60 (2):401-420.
The Role of Foundational Relations in the Alignment of Biomedical Ontologies.Barry Smith & Cornelius Rosse - 2004 - In M. Fieschi, E. Coiera & Y.-C. J. Li (eds.), Medinfo. IOS Press. pp. 444-448.

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A Spatio-Temporal Ontology for Geographic Information Integration.Thomas Bittner & Barry Smith - 2009 - International Journal for Geographical Information Science 23 (6):765-798.

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2009-01-28

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