Inference to the Best Explanation in Uncertain Evidential Situations

British Journal for the Philosophy of Science 70 (4):977-1001 (2019)
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Abstract

It has recently been argued that a non-Bayesian probabilistic version of inference to the best explanation (IBE*) has a number of advantages over Bayesian conditionalization (Douven [2013]; Douven and Wenmackers [2017]). We investigate how IBE* could be generalized to uncertain evidential situations and formulate a novel updating rule IBE**. We then inspect how it performs in comparison to its Bayesian counterpart, Jeffrey conditionalization (JC), in a number of simulations where two agents, each updating by IBE** and JC, respectively, try to detect the bias of a coin while they are only partially certain what side the coin landed on. We show that IBE** more often prescribes high probability to the actual bias than JC. We also show that this happens considerably faster, that IBE** passes higher thresholds for high probability, and that it in general leads to more accurate probability distributions than JC.

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Author's Profile

Borut Trpin
Ludwig Maximilians Universität, München

References found in this work

Laws and symmetry.Bas C. van Fraassen - 1989 - New York: Oxford University Press.
The Logic of Decision.Richard C. Jeffrey - 1965 - New York, NY, USA: University of Chicago Press.
Inference to the Best Explanation.Peter Lipton - 1991 - London and New York: Routledge/Taylor and Francis Group.
Change in View: Principles of Reasoning.Gilbert Harman - 1986 - Cambridge, MA, USA: MIT Press.
Inference to the Best Explanation.Peter Lipton - 1991 - London and New York: Routledge.

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