Inconsistent boundaries

Z. Weber, A.J. Cotnoir

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)
2 Downloads (Pure)

Abstract

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.
Original languageEnglish
JournalSynthese
VolumeIn Press
Early online date11 Dec 2014
DOIs
Publication statusPublished - Dec 2014

Keywords

  • Mereology
  • Paraconsistent logic
  • Spatial representation

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