Non-wellfounded Mereology
Review of Symbolic Logic (2012)
| 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 | |||||||||
| Categories | ||||||||||
| Options |
|
|||||||||
Download options| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,672 |
| External links |
 |
| Through your library | Configure |
Similar books and articlesAaron J. Cotnoir (2010). Anti-Symmetry and Non-Extensional Mereology. Philosophical Quarterly 60 (239):396-405.
Paul Hovda (2009). What Is Classical Mereology? Journal of Philosophical Logic 38 (1):55 - 82.
Desmond Paul Henry (1991). Medieval Mereology. B.R. Grüner.
Shieva Kleinschmidt (2011). Multilocation and Mereology. Philosophical Perspectives 25 (1):253-276.
Gabriel Uzquiano (forthcoming). Mereology and Modality. In Shieva Kleinschmidt (ed.), Mereology and Location. Oxford University Press.
Rom Harré & Jean-Pierre Llored (2011). Mereologies as the Grammars of Chemical Discourses. Foundations of Chemistry 13 (1):63-76.
Rom Harré & Jean-Pierre Llored (2011). Mereologies as the Grammars of Chemical Discourses. Foundations of Chemistry 13 (1):63-76.
Daniel R. Patten (2013). Mereology on Topological and Convergence Spaces. Notre Dame Journal of Formal Logic 54 (1):21-31.
John Bigelow (2010). Quine, Mereology, and Inference to the Best Explanation. Logique Et Analyse 53 (212).
Paul Hovda (2013). Tensed Mereology. Journal of Philosophical Logic 42 (2):241-283.
Varol Akman (1997). Review of J. Barwise and L. Moss, Vicious Circles: On the Mathematics of Non-Wellfounded Phnenomena. [REVIEW] Journal of Logic, Language and Information 6 (4):460-464.
Andreas Martin Lisewski (2006). The Concept of Strong and Weak Virtual Reality. Minds and Machines 16 (2).
Donald Smith (2009). Mereology Without Weak Supplementation. Australasian Journal of Philosophy 87 (3):505 – 511.
Analytics
Monthly downloads |
Added to index2012-02-03Total downloads47 ( #23,088 of 549,064 )Recent downloads (6 months)4 ( #19,186 of 549,064 )How can I increase my downloads? |
My notes
Discussion
