In M. Duckham, M. F. Goodchild & M. F. Worboys (eds.), Foundations of Geographic Information Science. London: Taylor & Francis. pp. 117-151 (2003)

Authors
Barry Smith
State University of New York, Buffalo
Thomas Bittner
State University of New York, Buffalo
Abstract
We have a variety of different ways of dividing up, classifying, mapping, sorting and listing the objects in reality. The theory of granular partitions presented here seeks to provide a general and unified basis for understanding such phenomena in formal terms that is more realistic than existing alternatives. Our theory has two orthogonal parts: the first is a theory of classification; it provides an account of partitions as cells and subcells; the second is a theory of reference or intentionality; it provides an account of how cells and subcells relate to objects in reality. We define a notion of well-formedness for partitions, and we give an account of what it means for a partition to project onto objects in reality. We continue by classifying partitions along three axes: (a) in terms of the degree of correspondence between partition cells and objects in reality; (b) in terms of the degree to which a partition represents the mereological structure of the domain it is projected onto; and (c) in terms of the degree of completeness with which a partition represents this domain.
Keywords granular partitions  taxonomies  geographic information systems  classification
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References found in this work BETA

Parts of Classes.David K. Lewis - 1991 - Mind 100 (3):394-397.
Parts of Classes.Michael Potter - 1993 - Philosophical Quarterly 43 (172):362-366.
Fiat Objects.Barry Smith - 2001 - Topoi 20 (2):131-148.
Truthmaker Realism.Barry Smith - 1999 - Australasian Journal of Philosophy 77 (3):274 – 291.

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Citations of this work BETA

SNAP and SPAN: Towards Dynamic Spatial Ontology.Pierre Grenon & Barry Smith - 2004 - Spatial Cognition and Computation 4 (1):69–103.
Biodynamic Ontology: Applying BFO in the Biomedical Domain.Barry Smith, Pierre Grenon & Louis Goldberg - 2004 - Studies in Health and Technology Informatics 102:20–38.

View all 41 citations / Add more citations

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