The manifesto has a nice paragraph where Glymour lists the contributions of many mathematical philosophers. This might be relevant to UDT:
Philosophers and statisticians alike want to posit probabilities over sentences, but how would that work with a language adequate to science and mathematics, say first order logic? Haim Gaifman told us, and worked out the implications for what is and what is not learnable.
This is pretty much unrelated but do you think maybe you could write a short post about the relevance of algorithmic probability for human rationality? There's this really common error 'round these parts where people say a hypothesis (e.g. God, psi, etc) is a prior unlikely because it is a "complex" hypothesis according to the universal prior. Obviously the "universal prior" says no such thing, people are just taking whatever cached category of hypotheses they think are more probable for other unmentioned reasons and then labeling that ...
I've long held CMU's philosophy department in high regard. One of their leading lights, Clark Glymour, recently published a short manifesto, which Brian Leiter summed up as saying that "the measure of value for philosophy departments is whether they are taken seriously by computer scientists."
Selected quote from Glymour's manifesto:
Also see the critique here, but I'd like to have Glymour working on FAI.