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Bayesian humility

Elga, Adam (2014) Bayesian humility. [Preprint]

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Say that an agent is "epistemically humble" if she is less than certain that her opinions will converge to the truth, given an appropriate stream of evidence. Is such humility rationally permissible? According to the orgulity argument (Belot 2013): the answer is "yes" but long-run convergence-to-the-truth theorems force Bayesians to answer "no." That argument has no force against Bayesians who reject countable additivity as a requirement of rationality. Such Bayesians are free to count even extreme humility as rationally permissible.

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Item Type: Preprint
Additional Information: This version fixes a few typographical and thoughtographical errors in the proofs in the technical appendices.
Keywords: Bayesianism, orgulity, convergence to the truth, convergence theorem, washing out, finite additivity, finitely additive probability, countable additivity, problem of priors
Subjects: General Issues > Confirmation/Induction
Specific Sciences > Probability/Statistics
Depositing User: Adam Elga
Date Deposited: 02 Sep 2014 14:49
Last Modified: 27 Sep 2015 16:42
Item ID: 11002
Subjects: General Issues > Confirmation/Induction
Specific Sciences > Probability/Statistics
Date: 25 July 2014

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