Anti-symmetry and non-extensional mereology

Aaron J Cotnoir

Research output: Contribution to journalArticle

25 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)396-405
Number of pages10
JournalThe Philosophical Quarterly
Volume60
Issue number239
Early online date9 Sep 2009
DOIs
Publication statusPublished - Apr 2010

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Antisymmetry
Mereology
Parthood
Extensionality
Equivalence

Cite this

Anti-symmetry and non-extensional mereology. / Cotnoir, Aaron J.

In: The Philosophical Quarterly, Vol. 60, No. 239, 04.2010, p. 396-405.

Research output: Contribution to journalArticle

Cotnoir, Aaron J. / Anti-symmetry and non-extensional mereology. In: The Philosophical Quarterly. 2010 ; Vol. 60, No. 239. pp. 396-405.
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