How much are bold Bayesians favoured?

Rédei and Gyenis recently displayed strong constraints of Bayesian learning (in the form of Jeffrey conditioning). However, they also presented a positive result for Bayesianism. Despite the limited significance of this positive result, I find it useful to discuss its two possible strengthenings to...

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Bibliographic Details
Published in:Synthese (Dordrecht) 2022-08, Vol.200 (4), p.336, Article 336
Main Author: Janda, Pavel
Format: Article
Language:English
Subjects:
Belief & doubt
Conditioning
Education
Epistemology
Evidence
Logic
Metaphysics
Norms
Original Research
Philosophy
Philosophy of Language
Philosophy of Science
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Summary:Rédei and Gyenis recently displayed strong constraints of Bayesian learning (in the form of Jeffrey conditioning). However, they also presented a positive result for Bayesianism. Despite the limited significance of this positive result, I find it useful to discuss its two possible strengthenings to present new results and open new questions about the limits of Bayesianism. First, I will show that one cannot strengthen the positive result by restricting the evidence to so-called “certain evidence”. Secondly, strengthening the result by restricting the partitions—as parts of one’s evidence—to Jeffrey-independent partitions requires additional constraints on one’s evidence to preserve its commutativity. So, my results provide additional grounds for caution and support for the limitations of Bayesian learning.
ISSN:1573-0964
0039-7857
1573-0964
DOI:10.1007/s11229-022-03825-5