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Mereotopology is a theory of connected parts. The existence of boundaries, as parts of everyday objects, is basic to any such theory; but in classical mereotopology, there is a problem: if boundaries exist, then either distinct entities cannot be in contact, or else space is not topologically connected (Varzi in Noûs 31:26–58, 1997). In this paper we urge that this problem can be met with a paraconsistent mereotopology, and sketch the details of one such approach. The resulting theory focuses attention on the role of empty parts, in delivering a balanced and bounded metaphysics of naive space.
Weber , Z & Cotnoir , A J 2014 , ' Inconsistent boundaries ' Synthese , vol In Press . DOI: 10.1007/s11229-014-0614-z
© Springer Science+Business Media Dordrecht 2014. This work is made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final publication is available at Springer via http://dx.doi.org/10.1007/s11229-014-0614-z
Research on this paper was supported by a grant from the Marsden Fund, Royal Society of New Zealand.