On fair countable lotteries

被引：0
|
作者：
Hansen, Casper Storm [1 ]
机构：
[1] Van Leer Jerusalem Inst, POB 4070, IL-9104001 Jerusalem, Israel
来源：
PHILOSOPHICAL STUDIES | 2017年 / 174卷 / 11期
关键词：
Reverse supertasks; Uniform probability distributions; Countable additivity axiom; ADDITIVITY; PARADOX;
D O I：
10.1007/s11098-016-0810-4
中图分类号：
B [哲学、宗教];
学科分类号：
01 ; 0101 ;
摘要：
Two reverse supertasks-one new and one invented by P,rez Laraudogoitia (Philos Stud 168:619-628, 2014)-are discussed. Contra Kerkvliet (Log Anal, 2016) and P,rez 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.
引用
收藏
页码：2787 / 2794
页数：8
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