Parts, Wholes, and Part-Whole Relations: The Prospects of Mereotopology

Data and Knowledge Engineering 20:259–286 (1996)
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Abstract

We can see mereology as a theory of parthood and topology as a theory of wholeness. How can these be combined to obtain a unified theory of parts and wholes? This paper examines various non-equivalent ways of pursuing this task, with specific reference to its relevance to spatio-temporal reasoning. In particular, three main strategies are compared: (i) mereology and topology as two independent (though mutually related) chapters; (ii) mereology as a general theory subsuming topology; (iii) topology as a general theory subsuming mereology. Some more speculative strategies and directions for further research are also considered.

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Achille C. Varzi
Columbia University

Citations of this work

Mereology.Achille C. Varzi - 2016 - Stanford Encyclopedia of Philosophy.
Fiat and Bona Fide Boundaries.Barry Smith & Achille C. Varzi - 2000 - Philosophy and Phenomenological Research 60 (2):401-420.
The niche.Barry Smith & Achille C. Varzi - 1999 - Noûs 33 (2):214-238.
Mereological commitments.Achille C. Varzi - 2000 - Dialectica 54 (4):283–305.

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References found in this work

On Denoting.Bertrand Russell - 1905 - Mind 14 (56):479-493.
Parts: a study in ontology.Peter M. Simons - 1987 - New York: Oxford University Press.
On Denoting.Bertrand Russell - 2005 - Mind 114 (456):873 - 887.
Parts of Classes.David K. Lewis - 1991 - Mind 100 (3):394-397.

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