For Bayesians, Rational Modesty Requires Imprecision

Ergo: An Open Access Journal of Philosophy 2 (2015)
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Abstract

Gordon Belot has recently developed a novel argument against Bayesianism. He shows that there is an interesting class of problems that, intuitively, no rational belief forming method is likely to get right. But a Bayesian agent’s credence, before the problem starts, that she will get the problem right has to be 1. This is an implausible kind of immodesty on the part of Bayesians. My aim is to show that while this is a good argument against traditional, precise Bayesians, the argument doesn’t neatly extend to imprecise Bayesians. As such, Belot’s argument is a reason to prefer imprecise Bayesianism to precise Bayesianism.

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Brian Weatherson
University of Michigan, Ann Arbor

Citations of this work

Should agents be immodest?Marc-Kevin Daoust - 2020 - Analytic Philosophy 62 (3):235-251.
Objectivity and Bias.Gordon Belot - 2017 - Mind 126 (503):655-695.
Obligation, Permission, and Bayesian Orgulity.Michael Nielsen & Rush T. Stewart - 2019 - Ergo: An Open Access Journal of Philosophy 6.
An Axiomatic Theory of Inductive Inference.Luciano Pomatto & Alvaro Sandroni - 2018 - Philosophy of Science 85 (2):293-315.
Deterministic Convergence and Strong Regularity.Michael Nielsen - 2018 - British Journal for the Philosophy of Science 71 (4):1461-1491.

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References found in this work

The skeptic and the dogmatist.James Pryor - 2000 - Noûs 34 (4):517–549.
Problems for Dogmatism.Roger White - 2006 - Philosophical Studies 131 (3):525-557.
Imprecise Probabilities.Seamus Bradley - 2019 - Stanford Encyclopedia of Philosophy.
How to Disagree about How to Disagree.Adam Elga - 2010 - In Richard Feldman & Ted A. Warfield (eds.), Disagreement. Oxford, GB: Oxford University Press. pp. 175-186.

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