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Maureen Donnelly
State University of New York, Buffalo
  1. Individuals, Universals, Collections: On the Foundational Relations of Ontology.Thomas Bittner, Maureen Donnelly & Barry Smith - 2004 - In Achille Varzi Laure Vieu (ed.), Formal Ontology in Information Systems. Proceedings of the Third International Conference. IOS Press. pp. 37–48.
    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 (...)
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  2. Endurants and Perdurants in Directly Depicting Ontologies.Thomas Bittner, Maureen Donnelly & Barry Smith - 2004 - AI Communications 13 (4):247–258.
    We propose an ontological theory that is powerful enough to describe both complex spatio-temporal processes and the enduring entities that participate therein. For this purpose we introduce the notion a directly depicting ontology. Directly depicting ontologies are based on relatively simple languages and fall into two major categories: ontologies of type SPAN and ontologies of type SNAP. These represent two complementary perspectives on reality and employ distinct though compatible systems of categories. A SNAP (snapshot) ontology comprehends enduring entities such as (...)
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  3. Layers: A New Approach to Locating Objects in Space.Maureen Donnelly & Barry Smith - 2003 - In W. Kuhn M. F. Worboys & S. Timpf (eds.), Spatial Information Theory: Foundations of Geographic Informa­tion Science. Springer. pp. 50-65.
    Standard theories in mereotopology focus on relations of parthood and connection among spatial or spatio-temporal regions. Objects or processes which might be located in such regions are not normally directly treated in such theories. At best, they are simulated via appeal to distributions of attributes across the regions occupied or by functions from times to regions. The present paper offers a richer framework, in which it is possible to represent directly the relations between entities of various types at different levels, (...)
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    The Logic of Systems of Granular Partitions.Thomas Bittner, Barry Smith & Maureen Donnelly - 2005 - IFOMIS Reports.
    The theory of granular partitions is designed to capture in a formal framework important aspects of the selective character of common-sense views of reality. It comprehends not merely the ways in which we can view reality by conceiving its objects as gathered together not merely into sets, but also into wholes of various kinds, partitioned into parts at various levels of granularity. We here represent granular partitions as triples consisting of a rooted tree structure as first component, a domain satisfying (...)
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