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Non-wellfounded mereology
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dc.contributor.author | Cotnoir, Aaron | |
dc.contributor.author | Bacon, Andrew | |
dc.date.accessioned | 2012-09-26T10:31:02Z | |
dc.date.available | 2012-09-26T10:31:02Z | |
dc.date.issued | 2012-06 | |
dc.identifier.citation | Cotnoir , A & Bacon , A 2012 , ' Non-wellfounded mereology ' , The Review of Symbolic Logic , vol. 5 , no. 2 , pp. 187-204 . https://doi.org/10.1017/S1755020311000293 | en |
dc.identifier.issn | 1755-0203 | |
dc.identifier.other | PURE: 27619381 | |
dc.identifier.other | PURE UUID: b3cbc165-f5d8-480d-ba33-8f5d3c8f2ee3 | |
dc.identifier.other | Scopus: 84871902657 | |
dc.identifier.other | ORCID: /0000-0003-4528-7570/work/65702598 | |
dc.identifier.uri | https://hdl.handle.net/10023/3157 | |
dc.description.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. | |
dc.format.extent | 17 | |
dc.language.iso | eng | |
dc.relation.ispartof | The Review of Symbolic Logic | en |
dc.rights | This is an author version of this article. The published version is available at http://journals.cambridge.org (c) Association for Symbolic Logic, 2011 | en |
dc.subject | BC Logic | en |
dc.subject.lcc | BC | en |
dc.title | Non-wellfounded mereology | en |
dc.type | Journal article | en |
dc.description.version | Postprint | en |
dc.contributor.institution | University of St Andrews. Philosophy | en |
dc.identifier.doi | https://doi.org/10.1017/S1755020311000293 | |
dc.description.status | Peer reviewed | en |
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