See: You only need faith in two things and the comment on the binomial monkey prior (a theory which says that the 'past' does not predict the 'future').

You could argue that there exists a more fundamental assumption, hidden in the supposed rules of probability, about the validity of the evidence you're updating on. Here I can only reply that we're trying to explain the data regardless of whether or not it "is true," and point to the fact that you're clearly willing to act like this endeavor has value.

New Philosophical Work on Solomonoff Induction

by vallinder 1 min read27th Sep 201611 comments

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I don't know to what extent MIRI's current research engages with Solomonoff induction, but some of you may find recent work by Tom Sterkenburg to be of interest. Here's the abstract of his paper Solomonoff Prediction and Occam's Razor:

Algorithmic information theory gives an idealised notion of compressibility that is often presented as an objective measure of simplicity. It is suggested at times that Solomonoff prediction, or algorithmic information theory in a predictive setting, can deliver an argument to justify Occam's razor. This article explicates the relevant argument and, by converting it into a Bayesian framework, reveals why it has no such justificatory force. The supposed simplicity concept is better perceived as a specific inductive assumption, the assumption of effectiveness. It is this assumption that is the characterising element of Solomonoff prediction and wherein its philosophical interest lies.