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2002 Nonclassical Mereology and Its Application to Sets
Peter Forrest
Notre Dame J. Formal Logic 43(2): 79-94 (2002). DOI: 10.1305/ndjfl/1071509430

Abstract

Part One of this paper is a case against classical mereology and for Heyting mereology. This case proceeds by first undermining the appeal of classical mereology and then showing how it fails to cohere with our intuitions about a measure of quantity. Part Two shows how Heyting mereology provides an account of sets and classes without resort to any nonmereological primitive.

Citation

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Peter Forrest. "Nonclassical Mereology and Its Application to Sets." Notre Dame J. Formal Logic 43 (2) 79 - 94, 2002. https://doi.org/10.1305/ndjfl/1071509430

Information

Published: 2002
First available in Project Euclid: 15 December 2003

zbMATH: 1049.03003
MathSciNet: MR2033318
Digital Object Identifier: 10.1305/ndjfl/1071509430

Subjects:
Primary: 03A05

Keywords: class , Fusion , measure , mereology , set , sum

Rights: Copyright © 2002 University of Notre Dame

Vol.43 • No. 2 • 2002
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