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A Classical Way Forward for the Regularity and Normalization Problems

Pruss, Alexander R. (2021) A Classical Way Forward for the Regularity and Normalization Problems. [Preprint]

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Abstract

Bayesian epistemology has struggled with the problem of regularity: how to deal with events that in classical probability
have zero probability. While the cases most discussed in the literature, such as infinite sequences of coin tosses or
continuous spinners, do not actually come up in scientific practice, there are cases that do come up in science. I shall
argue that these cases can be resolved without leaving the realm of classical probability, by choosing a probability measure
that preserves ``enough'' regularity. This approach also provides a resolution to the McGrew, McGrew and Vestrum normalization
problem for the fine-tuning argument.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Pruss, Alexander R.alexander_pruss@baylor.edu
Keywords: probability;symmetry;regularity;normalization;fine-tuning;set theory;definability;language
Subjects: General Issues > Confirmation/Induction
Specific Sciences > Physics
Depositing User: Dr Alexander Pruss
Date Deposited: 14 Jul 2021 02:26
Last Modified: 14 Jul 2021 02:26
Item ID: 19301
Subjects: General Issues > Confirmation/Induction
Specific Sciences > Physics
Date: 9 July 2021
URI: https://philsci-archive.pitt.edu/id/eprint/19301

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