Acta Analytica 30 (2):117-132 (2015)
Authors |
|
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 |
Categories | (categorize this paper) |
ISBN(s) | |
DOI | 10.1007/s12136-014-0233-9 |
Options |
![]() ![]() ![]() ![]() |
Download options
References found in this work BETA
Four Dimensionalism: An Ontology of Persistence and Time.Theodore Sider - 2001 - Oxford University Press.
Four Dimensionalism: An Ontology of Persistence and Time.Theodore Sider - 2004 - Philosophy and Phenomenological Research 68 (3):642-647.
View all 28 references / Add more references
Citations of this work BETA
No citations found.
Similar books and articles
Hume on Infinite Divisibility and Sensible Extensionless Indivisibles.Dale Jacquette - 1996 - Journal of the History of Philosophy 34 (1):61-78.
Hume and Berkeley on the Proofs of Infinite Divisibility.Robert Fogelin - 1988 - Philosophical Review 97 (1):47-69.
The Laws of Integer Divisibility, and Solution Sets of Linear Divisibility Conditions.L. Van den Dries & A. J. Wilkie - 2003 - Journal of Symbolic Logic 68 (2):503 - 526.
The Laws of Integer Divisibility, and Solution Sets of Linear Divisibility Conditions.L.den Dries & A. J. Wilkie - 2003 - Journal of Symbolic Logic 68 (2):503 - 526.
The Laws of Integer Divisibility, and Solution Sets of Linear Divisibility Conditions.L. van den Dries & A. J. Wilkie - 2003 - Journal of Symbolic Logic 68 (2):503-526.
Hume on the Infinite Divisibility of Extension and Exact Geometrical Values.Dale Jacquette - 2007 - Rivista di Storia Della Filosofia 62 (3):81-100.
From Inexactness to Certainty: The Change in Hume's Conception of Geometry.Vadim Batitsky - 1998 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 29 (1):1-20.
Divisibility and Cartesian Extension.K. Smith & A. Nelson - 2010 - Oxford Studies in Early Modern Philosophy 5.
Arithmetic of Divisibility in Finite Models.A. E. Wasilewska & M. Mostowski - 2004 - Mathematical Logic Quarterly 50 (2):169.
Achievements and Fallacies in Hume's Account of Infinite Divisibility.James Franklin - 1994 - Hume Studies 20 (1):85-101.
Analytics
Added to PP index
2014-07-06
Total views
61 ( #165,728 of 2,419,763 )
Recent downloads (6 months)
8 ( #87,713 of 2,419,763 )
2014-07-06
Total views
61 ( #165,728 of 2,419,763 )
Recent downloads (6 months)
8 ( #87,713 of 2,419,763 )
How can I increase my downloads?
Downloads