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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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Survey of Extensional Mereology

Survey of Extensional Mereology

(p.46) 2 Survey of Extensional Mereology


Oxford University Press

Since the original formulation of a mereology by Stanislaw Leśniewski in 1916, a number of writers, working sometimes independently of one another, have formulated and reformulated principles which are clearly mereological in nature and which all conform to the principles laid down in the previous chapter for a minimal extensional mereology. Much of this work is scattered and some of it is difficult to obtain. Much of it has been developed less for its own sake than for some extraneous purpose. This chapter summarises the major contributions without aspiring to universal coverage. Since the two major lines of approach, those initiated by Leśniewski and Henry Leonard, respectively, differ considerably in their logical base, this chapter also shows in what respect their mereologies are equivalent. Several extensional mereologies which fall short of the classical in their strength are surveyed.

Keywords:   extensional mereology, Stanislaw Leśniewski, Henry Leonard, formal systems, calculus of individuals, topology, affinities, non-classical extensional mereologies

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