Philosophical Studies 174 (11):2787-2794 (2017)

Authors
Casper Storm Hansen
Institute of Philosophy, Chinese Academy of Sciences
Abstract
Two reverse supertasks—one new and one invented by Pérez Laraudogoitia —are discussed. Contra Kerkvliet and Pérez Laraudogoitia, it is argued that these supertasks cannot be used to conduct fair infinite lotteries, i.e., lotteries on the set of natural numbers with a uniform probability distribution. The new supertask involves an infinity of gods who collectively select a natural number by each removing one ball from a collection of initially infinitely many balls in a reverse omega-sequence of actions.
Keywords Reverse Supertasks  Uniform Probability Distributions  Countable Additivity Axiom
Categories (categorize this paper)
ISBN(s)
DOI 10.1007/s11098-016-0810-4
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 64,132
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

The Inverse Spaceship Paradox.J. P. Laraudogoitia - 2011 - Synthese 178 (3):429-435.
Infinity, an essay in metaphysics. [REVIEW]R. Blanché - 1964 - Revue Philosophique de la France Et de l'Etranger 156:502-503.

Add more references

Citations of this work BETA

Add more citations

Similar books and articles

Fair Infinite Lotteries.Sylvia Wenmackers & Leon Horsten - 2013 - Synthese 190 (1):37-61.
Indeterminacy of Fair Infinite Lotteries.Philip Kremer - 2014 - Synthese 191 (8):1757-1760.
Ultralarge and Infinite Lotteries.Sylvia Wenmackers - 2012 - In B. Van Kerkhove, T. Libert, G. Vanpaemel & P. Marage (eds.), Logic, Philosophy and History of Science in Belgium II (Proceedings of the Young Researchers Days 2010). Koninklijke Vlaamse Academie van België voor Wetenschappen en Kunsten.
Infinite Lotteries, Large and Small Sets.Luc Lauwers - 2017 - Synthese 194 (6):2203-2209.
On Fair Lotteries.Peter Stone - 2008 - Social Theory and Practice 34 (4):573-590.
The Equality of Lotteries.Ben Saunders - 2008 - Philosophy 83 (3):359-372.
Doing the Best One Can: A New Justification for the Use of Lotteries.Ittay Nissan-Rozen - 2012 - Erasmus Journal for Philosophy and Economics 5 (1):45-72.
Fair Chance and Modal Consequentialism.H. Orri Stefánsson - 2015 - Economics and Philosophy 31 (3):371-395.
The Arbitrariness of Belief.Martin Smith - 2014 - In Dylan Dodd & Elia Zardini (eds.), Scepticism and Perceptual Justification. Oxford University Press.

Analytics

Added to PP index
2016-11-04

Total views
31 ( #354,061 of 2,454,729 )

Recent downloads (6 months)
2 ( #303,745 of 2,454,729 )

How can I increase my downloads?

Downloads

My notes