Two ways of looking at a Newtonian supertask

Synthese 131 (2):173 - 189 (2002)
  Copy   BIBTEX

Abstract

A supertask is a process in which an infinite number of individuated actions are performed in a finite time. A Newtonian supertask is one that obeys Newton''s laws of motion. Such supertasks can violate energy and momentum conservation and can exhibit indeterministic behavior. Perez Laraudogoitia, who proposed several Newtonian supertasks, uses a local, i.e., particle-by-particle, analysis to obtain these and other paradoxical properties of Newtonian supertasks. Alper and Bridger use a global analysis, embedding the system of particles in a Banach space, to determine the origin of the strange behavior. This paper provides a common framework for the discussion of both the local and global methods of analysis. Using this single framework, the areas of disagreement and agreement are made explicit. Further examples of supertasks are proposed to illuminate various aspects of the discussion.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,998

External links

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

Through your library

Analytics

Added to PP
2009-01-28

Downloads
74 (#223,310)

6 months
7 (#431,609)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Achilles, the Tortoise, and Colliding Balls.Jeanne Peijnenburg & David Atkinson - 2008 - History of Philosophy Quarterly 25 (3):187 - 201.
Evens and odds in Newtonian collision mechanics.Leonard Angel - 2005 - British Journal for the Philosophy of Science 56 (1):179-188.
Taking Self‐Excitations Seriously: On Angel's Initial Condition.Jon Pérez Laraudogoitia - 2003 - British Journal for the Philosophy of Science 54 (2):319-326.

View all 6 citations / Add more citations

References found in this work

Tasks, super-tasks, and the modern eleatics.Paul Benacerraf - 1962 - Journal of Philosophy 59 (24):765-784.
A Quantum Mechanical Supertask.John D. Norton - 1999 - Foundations of Physics 29 (8):1265-1302.
Modern Science and Zeno's Paradoxes of Motion.Adolf Grünbaum - 1970 - In Wesley Charles Salmon (ed.), Zeno’s Paradoxes. Indianapolis, IN, USA: Bobbs-Merrill. pp. 200--250.

Add more references