Non-wellfounded Mereology

Review of Symbolic Logic 5 (2):187-204 (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 (categorize this paper)
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
 
Download options
PhilPapers Archive


Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 10,316
External links
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA
Nikk Effingham (2010). Mereological Explanation and Time Travel. Australasian Journal of Philosophy 88 (2):333-345.
Nikk Effingham & Jon Robson (2007). A Mereological Challenge to Endurantism. Australasian Journal of Philosophy 85 (4):633 – 640.

View all 22 references

Citations of this work BETA
A. J. Cotnoir (2013). Beyond Atomism. Thought: A Journal of Philosophy 2 (1):67-72.
Similar books and articles
Paul Hovda (2009). What Is Classical Mereology? Journal of Philosophical Logic 38 (1):55 - 82.
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.
Daniel R. Patten (2013). Mereology on Topological and Convergence Spaces. Notre Dame Journal of Formal Logic 54 (1):21-31.
Paul Hovda (2013). Tensed Mereology. Journal of Philosophical Logic 42 (2):241-283.
Donald Smith (2009). Mereology Without Weak Supplementation. Australasian Journal of Philosophy 87 (3):505 – 511.
Analytics

Monthly downloads

Added to index

2012-02-03

Total downloads

52 ( #29,070 of 1,096,454 )

Recent downloads (6 months)

3 ( #90,211 of 1,096,454 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Start a new thread
Order:
There  are no threads in this forum
Nothing in this forum yet.