Nonclassical Mereology and Its Application to Sets

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

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References found in this work

Singular Terms, Truth-Value Gaps, and Free Logic.Bas Van Fraassen - 1966 - Journal of Philosophy 63 (17):481-495.
On Understanding Leśniewski.Peter M. Simons - 1982 - History and Philosophy of Logic 3 (2):165-191.
How Innocent is Mereology?P. Forrest - 1996 - Analysis 56 (3):127-131.
How Innocent is Mereology?Peter Forrest - 1996 - Analysis 56 (3):127–131.

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Citations of this work

Mereology.Achille C. Varzi - 2016 - Stanford Encyclopedia of Philosophy.
Truthmaker Semantics for Relevant Logic.Mark Jago - 2020 - Journal of Philosophical Logic 49 (4):681-702.
Non-Wellfounded Mereology.Aaron J. Cotnoir & Andrew Bacon - 2012 - Review of Symbolic Logic 5 (2):187-204.

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