Ontologies for Plane, Polygonal Mereotopology

Notre Dame Journal of Formal Logic 38 (2):225-245 (1997)
Several authors have suggested that a more parsimonious and conceptually elegant treatment of everyday mereological and topological reasoning can be obtained by adopting a spatial ontology in which regions, not points, are the primitive entities. This paper challenges this suggestion for mereotopological reasoning in two-dimensional space. Our strategy is to define a mereotopological language together with a familiar, point-based interpretation. It is proposed that, to be practically useful, any alternative region-based spatial ontology must support the same sentences in our language as this familiar interpretation. This proposal has the merit of transforming a vague, open-ended question about ontologies for practical mereotopological reasoning into a precise question in model theory. We show that (a version of) the familiar interpretation is countable and atomic, and therefore prime. We conclude that useful alternative ontologies of the plane are, if anything, less parsimonious than the one which they are supposed to replace
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1305/ndjfl/1039724888
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
Download options
PhilPapers Archive

Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 23,217
External links
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA
Ian Pratt-Hartmann (2002). A Topological Constraint Language with Component Counting. Journal of Applied Non-Classical Logics 12 (3-4):441-467.
Stefano Borgo & Claudio Masolo (2010). Full Mereogeometries. Review of Symbolic Logic 3 (4):521-567.
David Bostock (2009). Whitehead and Russell on Points. Philosophia Mathematica 18 (1):1-52.

View all 6 citations / Add more citations

Similar books and articles
Barry Smith (2008). Ontology (Science). In Carola Eschenbach & Michael Grüninger (eds.), Formal Ontology in Information Systems. IOS Press 21-35.

Monthly downloads

Added to index


Total downloads

18 ( #255,485 of 1,940,864 )

Recent downloads (6 months)

2 ( #334,046 of 1,940,864 )

How can I increase my downloads?

My notes
Sign in to use this feature

Start a new thread
There  are no threads in this forum
Nothing in this forum yet.