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NON-WELLFOUNDED MEREOLOGY.
- Source :
-
Review of Symbolic Logic . Jun2012, Vol. 5 Issue 2, p187-204. 18p. - Publication Year :
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17550203
- Volume :
- 5
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Review of Symbolic Logic
- Publication Type :
- Academic Journal
- Accession number :
- 83177670
- Full Text :
- https://doi.org/10.1017/S1755020311000293