Divisibility and Extension: a Note on Zeno’s Argument Against Plurality and Modern Mereology

Acta Analytica 30 (2):117-132 (2015)
Authors
Claudio Calosi
Université de Genève
Abstract
In this paper, we address an infamous argument against divisibility that dates back to Zeno. There has been an incredible amount of discussion on how to understand the critical notions of divisibility, extension, and infinite divisibility that are crucial for the very formulation of the argument. The paper provides new and rigorous definitions of those notions using the formal theories of parthood and location. Also, it provides a new solution to the paradox of divisibility which does not face some threats that can possibly undermine the standard Lebesgue measure solution to such a paradox
Keywords divisibility  Extension  Parthood  Location
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DOI 10.1007/s12136-014-0233-9
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References found in this work BETA

Parts: A Study in Ontology.Peter Simons - 1987 - Oxford University Press.
Parthood.Theodore Sider - 2007 - Philosophical Review 116 (1):51-91.
Mereology.Achille C. Varzi - 2014 - Stanford Encyclopedia of Philosophy.

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