Infinite Divisibility and Actual Parts in Hume’s Treatise

Hume Studies 28 (1):3-25 (2002)
  Copy   BIBTEX

Abstract

According to a standard interpretation of Hume’s argument against infinite divisibility, Hume is raising a purely formal problem for mathematical constructions of infinite divisibility, divorced from all thought of the stuffing or filling of actual physical continua. I resist this. Hume’s argument must be understood in the context of a popular early modern account of the metaphysical status of the parts of physical quantities. This interpretation disarms the standard mathematical objections to Hume’s reasoning; I also defend it on textual and contextual grounds.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 76,503

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

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.
Infinite Divisibility in Hume's "Treatise".A. Flew - 1967 - Rivista di Storia Della Filosofia 22 (4):457.
Hume on Infinite Divisibility.Donald L. M. Baxter - 1988 - History of Philosophy Quarterly 5 (2):133-140.
Hume's theory of space and time in its sceptical context.Donald L. M. Baxter - 2009 - In David Fate Norton & Jacqueline Anne Taylor (eds.), The Cambridge Companion to Hume, 2nd. ed. Cambridge: Cambridge University Press. pp. 105-146.
Hume on infinite divisibility and sensible extensionless indivisibles.Dale Jacquette - 1996 - Journal of the History of Philosophy 34 (1):61-78.
Atomism and Infinite Divisibility.Ralph Edward Kenyon - 1994 - Dissertation, University of Massachusetts Amherst

Analytics

Added to PP
2009-10-12

Downloads
101 (#124,730)

6 months
5 (#155,776)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Thomas Holden
University of California at Santa Barbara

References found in this work

No references found.

Add more references