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

Casper Storm Hansen
Institute of Philosophy, Chinese Academy of Sciences
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
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DOI 10.1007/s11098-016-0810-4
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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.

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