The staccato roller coaster: a simple physical model of the staccato run

Synthese 190 (3):549-562 (2013)
Abstract
I present a simple model of Grünbaum’s staccato run in classical mechanics, the staccato roller coaster. It consists of a bead sliding on a frictionless wire shaped like a roller coaster track with infinitely many hills of diminishing size, each of which is a one-dimensional variant of the so-called Norton dome. The staccato roller coaster proves beyond doubt the dynamical (and hence logical) possibility of supertasks in classical mechanics if the Norton dome is a proper system of classical mechanics with metaphysical import. If not, challenges raised against the metaphysical significance of the Norton dome are shown to be challenges against various arguments for the dynamical possibility of supertasks, and the staccato roller coaster clearly shows the importance of meeting these challenges. And the staccato roller coaster can provide, as well as interesting lessons, illuminating analyses of Burke’s (Mod Schoolman 78:1–8, 2000 ) attempt to refute the dynamical possibility of the staccato run and Pérez Laraudogoitia’s (Synthese 148:433–441, 2006 ) rebuttal of it.
Keywords Supertask  Staccato run  Norton dome  Infinity
Categories (categorize this paper)
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
 
Download options
PhilPapers Archive


Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 10,948
External links
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA
Max Black (1950). Achilles and the Tortoise. In Wesley C. Salmon (ed.), Zeno’s Paradoxes. Bobbs-Merrill. 67-81.

View all 12 references

Citations of this work BETA
Similar books and articles
David Malament (2008). Norton's Slippery Slope. Philosophy of Science 75 (5):799-816.
Jon Pérez Laraudogoitia (2005). An Interesting Fallacy Concerning Dynamical Supertasks. British Journal for the Philosophy of Science 56 (2):321-334.
Pam R. Sailors (2012). Gender Roles Roll. Sport, Ethics and Philosophy 7 (2):245-258.
Jon Pérez Laraudogoitia (2005). An Interesting Fallacy Concerning Dynamical Supertasks. British Journal for the Philosophy of Science 56 (2):321 - 334.
Analytics

Monthly downloads

Added to index

2011-12-01

Total downloads

14 ( #113,572 of 1,100,778 )

Recent downloads (6 months)

5 ( #58,638 of 1,100,778 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Start a new thread
Order:
There  are no threads in this forum
Nothing in this forum yet.