Anti-symmetry and non-extensional mereology

Philosophical Quarterly 60 (239):396-405 (2010)
Abstract
I examine the link between extensionality principles of classical mereology and the anti-symmetry of parthood. Varzi's most recent defence of extensionality depends crucially on assuming anti-symmetry. I examine the notions of proper parthood, weak supplementation and non-well-foundedness. By rejecting anti-symmetry, the anti-extensionalist has a unified, independently grounded response to Varzi's arguments. I give a formal construction of a non-extensional mereology in which anti-symmetry fails. If the notion of 'mereological equivalence' is made explicit, this non-anti-symmetric mereology recaptures all of the structure of classical mereology.
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A. J. Cotnoir (2013). Parts as Counterparts. Thought: A Journal of Philosophy 2 (3):228-241.
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