A Critical Discussion Of The Compatibility Of Bayesianism And Inference To The Best Explanation
Abstract
In this paper I critique Peter Lipton’s attempt to deal with the threat of Bayesianism to the normative aspect of his project in Inference to the Best Explanation. I consider the five approaches Lipton proposes for reconciling the doxastic recommendations of Inference to the Best Explanation with BA’s: IBE gives a ‘boost’ to the posterior probability of particularly ‘lovely’ hypotheses after the Bayesian calculation is performed; IBE helps us to set the likelihood of evidence on a given hypothesis; IBE helps us to set the prior probabilities of hypotheses and evidence; IBE guides us in determining which evidence is relevant to a given hypothesis IBE functions as a heuristic for otherwise difficult Bayesian calculations. I agree with Lipton in rejecting . However, I then go on to point out difficulties for , , , and , all of which Lipton provisionally accepts. As far as is concerned, the explanationist and the Bayesian both fall silent in the same situations. In the final analysis, seems to be moot. devolves on and , and since I reject both of them it is a bad option. And should be considered – if at all – only in unimportant cases; in vital ones, BA is clearly better. I then propose a sixth way in which IBE and BA could be seen as complementary. Yet this suggestion relegates IBE to a secondary, supporting rôle vis-à-vis BA. I then question whether this auxiliary status is the most the explanationist can hope for