Granular Spatio-Temporal Ontologies

We propose an ontological theory that is powerful enough to describe both complex spatio-temporal processes (occurrents) and the enduring entities (continuants) that participate therein. The theory is divided into two major categories of sub-theories: (sub-) theories of type SPAN and (sub-)theories of type SNAP. These theories represent two complementary perspectives on reality and result in distinct though compatible systems of categories. In SNAP we have enduring entities such as substances, qualities, roles, functions; in SPAN we have perduring entities such as processes and their parts and aggregates. We argue that both kinds of ontological theory are required in order to give a non-reductionism account of complex domains of reality.

[1]  P. T. Geach Some problems about time , 1965 .

[2]  P. Inwagen Time and Cause , 1980 .

[3]  Time and Cause: Essays Presented to Richard Taylor , 1982 .

[4]  D. Lewis Survival and Identity , 1983 .

[5]  James S Morgan,et al.  Time and Cause: Essays Presented to Richard Taylor , 1984 .

[6]  Timothy Williamson,et al.  Parts. A Study in Ontology , 1990 .

[7]  Michel Scholl,et al.  Multi-Scale Partitions: Application to Spatial and Statistical Databases , 1995, SSD.

[8]  Scattered objects , 1997, Science.

[9]  Roberto Casati,et al.  Parts And Places , 1999 .

[10]  Barry Smith Fiat Objects , 2001 .

[11]  Thomas Bittner,et al.  A Theory of Granular Partitions , 2003, Foundations of Geographic Information Science.

[12]  Maureen Donnelly,et al.  Layered Mereotopology , 2003, IJCAI.

[13]  Barry Smith,et al.  Quantum Mereotopology , 2002, Annals of Mathematics and Artificial Intelligence.