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PartsA Study in Ontology$
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Peter Simons

Print publication date: 2000

Print ISBN-13: 9780199241460

Published to Oxford Scholarship Online: October 2011

DOI: 10.1093/acprof:oso/9780199241460.001.0001

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Problems

Problems

Chapter:
(p.101) 3 Problems
Source:
Parts
Author(s):

PETER SIMONS

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199241460.003.0004

Extensional mereologies are mostly very similar to Boolean algebras or complete Boolean algebras in their algebraic structure, and this similarity is not accidental. It can be accounted for by considering the jobs which they were and are called upon to perform. In most applications of mereology, the natural rival is some kind of set theory, and mereology is usually preferred, when it is preferred, for philosophical rather than mathematical reasons. This can be seen by examining both the development of the main systems of extensional mereology and more recent applications. The resulting systems have tended to be strong, to hold their own more readily against their inherently more powerful set-theoretic rival. This heritage has had detrimental effects on mereology, which are considered in some detail in the present chapter. The genesis of extensional mereology is first outlined to help explain why the main systems are as they are.

Keywords:   extensional mereology, flux argument, fourth dimension, part, whole

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