Infinite Lotteries, Perfectly Thin Darts and Infinitesimals

2012 ◽  
Vol 1 (2) ◽  
pp. 81-89 ◽  
Author(s):  
Alexander R. Pruss
Keyword(s):  
Infinite Lotteries

Infinite lotteries, large and small sets

Synthese ◽  
2016 ◽  
Vol 194 (6) ◽  
pp. 2203-2209 ◽  
Author(s):  
Luc Lauwers
Keyword(s):  
Infinite Lotteries

scholarly journals Fair infinite lotteries

Synthese ◽  
2010 ◽  
Vol 190 (1) ◽  
pp. 37-61 ◽  
Author(s):  
Sylvia Wenmackers ◽  
Leon Horsten
Keyword(s):  
Infinite Lotteries

scholarly journals Infinite Lotteries, Spinners, Applicability of Hyperreals†

2020 ◽  
Author(s):  
Emanuele Bottazzi ◽  
Mikhail G Katz
Keyword(s):  
Saturated Models ◽  
Infinite Lotteries ◽  
Hidden Biases

Abstract We analyze recent criticisms of the use of hyperreal probabilities as expressed by Pruss, Easwaran, Parker, and Williamson. We show that the alleged arbitrariness of hyperreal fields can be avoided by working in the Kanovei–Shelah model or in saturated models. We argue that some of the objections to hyperreal probabilities arise from hidden biases that favor Archimedean models. We discuss the advantage of the hyperreals over transferless fields with infinitesimals. In Paper II we analyze two underdetermination theorems by Pruss and show that they hinge upon parasitic external hyperreal-valued measures, whereas internal hyperfinite measures are not underdetermined.

Indeterminacy of fair infinite lotteries

Synthese ◽  
2013 ◽  
Vol 191 (8) ◽  
pp. 1757-1760 ◽  
Author(s):  
Philip Kremer
Keyword(s):  
Infinite Lotteries
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