Unity, Identity, and Topology: How to Make Donuts and Cut Things in Half

In Can Başkent & Thomas Macaulay Ferguson (eds.), Graham Priest on Dialetheism and Paraconsistency. Cham, Switzerland: Springer Verlag. pp. 217-229 (2019)
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Abstract

Priest’s 2014 theory of unity and identity, based on a paraconsistent logic, has a wide range of applications. In this paper, I apply his theory to some puzzles concerning mereology and topology. These puzzles suggest that the classical mereotopology needs to be revised. I compare and contrast the Priest-inspired solution with another, based on classical logic, that requires the co-location of boundaries. I suggest that the co-location view should be preferred on abductive grounds.

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10.1007/978-3-030-25365-3_11

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A. J. Cotnoir
University of St. Andrews

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Boundary.Achille C. Varzi - 2013 - Stanford Encyclopedia of Philosophy.

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