Review of Symbolic Logic 5 (2):187-204 (2012)

Authors
Andrew Bacon
University of Southern California
A. J. Cotnoir
University of St. Andrews
Abstract
This paper is a systematic exploration of non-wellfounded mereology. Motivations and applications suggested in the literature are considered. Some are exotic like Borges’ Aleph, and the Trinity; other examples are less so, like time traveling bricks, and even Geach’s Tibbles the Cat. The authors point out that the transitivity of non-wellfounded parthood is inconsistent with extensionality. A non-wellfounded mereology is developed with careful consideration paid to rival notions of supplementation and fusion. Two equivalent axiomatizations are given, and are compared to classical mereology. We provide a class of models with respect to which the non-wellfounded mereology is sound and complete.
Keywords mereology  wellfounded  extensionality
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DOI 10.1017/s1755020311000293
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References found in this work BETA

Parts: A Study in Ontology.Peter Simons - 1987 - Oxford University Press.
Logic, Semantics, Metamathematics.Alfred Tarski - 1956 - Oxford, Clarendon Press.
Reference and Generality.P. T. Geach - 1962 - Ithaca: Cornell University Press.

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Citations of this work BETA

Mereology.Achille C. Varzi - 2016 - Stanford Encyclopedia of Philosophy.
Boring Infinite Descent.Tuomas E. Tahko - 2014 - Metaphilosophy 45 (2):257-269.
Fundamentality.Tuomas E. Tahko - 2018 - Stanford Encyclopedia of Philosophy.

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