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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Cotnoir, A. J. 2016. Does Universalism Entail Extensionalism?. Noûs, Vol. 50, Issue. 1, p. 121.


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    Calosi, Claudio and Fano, Vincenzo 2015. Divisibility and Extension: a Note on Zeno’s Argument Against Plurality and Modern Mereology. Acta Analytica, Vol. 30, Issue. 2, p. 117.


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    Cotnoir, A. J. 2014. Universalism and Junk. Australasian Journal of Philosophy, Vol. 92, Issue. 4, p. 649.


    Tahko, Tuomas E. 2014. Boring Infinite Descent. Metaphilosophy, Vol. 45, Issue. 2, p. 257.


    Cotnoir, A. J. 2013. Strange Parts: The Metaphysics of Non-classical Mereologies. Philosophy Compass, Vol. 8, Issue. 9, p. 834.


    Cotnoir, A. J. 2013. Beyond Atomism. Thought: A Journal of Philosophy, Vol. 2, Issue. 1, p. 67.


    OBOJSKA, LIDIA 2013. SOME REMARKS ON SUPPLEMENTATION PRINCIPLES IN THE ABSENCE OF ANTISYMMETRY. The Review of Symbolic Logic, Vol. 6, Issue. 02, p. 343.


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NON-WELLFOUNDED MEREOLOGY

  • AARON J. COTNOIR (a1) and ANDREW BACON (a2)
  • DOI: http://dx.doi.org/10.1017/S1755020311000293
  • Published online: 09 December 2011
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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Corresponding author
*NORTHERN INSTITUTE OF PHILOSOPHY, UNIVERSITY OF ABERDEEN, OLD BREWERY, ABERDEEN, AB24 3UB, UNITED KINGDOM E-mail:a.cotnoir@abdn.ac.uk
MAGDALEN COLLEGE, OXFORD, OX1 4AU, UNITED KINGDOM
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The Review of Symbolic Logic
  • ISSN: 1755-0203
  • EISSN: 1755-0211
  • URL: /core/journals/review-of-symbolic-logic
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