Non-wellfounded Mereology

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

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Author Profiles

Andrew Bacon
University of Southern California
A. J. Cotnoir
University of St. Andrews

Citations of this work

Fundamentality.Tuomas E. Tahko - 2023 - Stanford Encyclopedia of Philosophy.
Mereology.Achille C. Varzi - 2016 - Stanford Encyclopedia of Philosophy.
Boring Infinite Descent.Tuomas E. Tahko - 2014 - Metaphilosophy 45 (2):257-269.
Composition.Daniel Z. Korman & Chad Carmichael - 2016 - Oxford Handbooks Online.

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References found in this work

Parts: a study in ontology.Peter M. Simons - 1987 - New York: Oxford University Press.
Logic, semantics, metamathematics.Alfred Tarski - 1956 - Oxford,: Clarendon Press. Edited by John Corcoran & J. H. Woodger.
Four Dimensionalism: An Ontology of Persistence and Time.Theodore Sider - 2004 - Philosophy and Phenomenological Research 68 (3):642-647.

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