Foundations of Physics and Mathematics
There's obviously some overlap in these fields, because physics depends upon mathematics and so you would think that anyone in one of these fields would be at least cognizant of the other, but are they? There are plenty of people who claim to have answers and they often involve computation. But why? Roger Penrose wrote his book The Emperor's New Mind : Concerning Computers, Minds and The Laws of Physics for these people, I think! In it he touches on the foundations of Mathematics too, but in a somewhat cursory way: his discussion of intuitionistic logic in that book is almost dismissive. I think it is the failure of mainstream physicists and logicians to relate these inter-dependent foundations that makes room for ideas of computation as somehow foundational in itself, rather than as a framework for effective reasoning. Here's a rather good survey of the idea of inertial frames in physics by Robert DiSalle , who is a Philosopher at UWO: Stanford Encyclopedia of Philosophy