An Axiomatisation of Basic Formal Ontology with Projection Functions

In Kerry Taylor (ed.), Advances in Ontologies, Proceedings of the Sixth Australasian Ontology Workshop. University of Adelaide. pp. 71-80 (2010)
Authors
Barry Smith
State University of New York, Buffalo
Abstract
This paper proposes a reformulation of the treatment of boundaries, at parts and aggregates of entities in Basic Formal Ontology. These are currently treated as mutually exclusive, which is inadequate for biological representation since some entities may simultaneously be at parts, boundaries and/or aggregates. We introduce functions which map entities to their boundaries, at parts or aggregations. We make use of time, space and spacetime projection functions which, along the way, allow us to develop a simple temporal theory
Keywords Basic Formal Ontology  upper ontology  mereology  applied ontology
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