NON-WELLFOUNDED MEREOLOGY

Author:

COTNOIR AARON J.,BACON ANDREW

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 thetrinity; other examples are less so, liketime traveling bricks, and even Geach’sTibbles 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.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy,Mathematics (miscellaneous)

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