Infinite lotteries, spinners, and the applicability of hyperreals

作者: Mikhail G. Katz , Emanuele Bottazzi

DOI: 10.1093/PHILMAT/NKAA032

关键词:

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

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