[_yb2s]

I discussed this in another reply in this thread, but I can't personally think of any examples where the hypothesis is unbounded. The laws of physics, computation, the human mind, measuring instruments, etc. all impose bounds on real world problems.

As someone that does Bayesian Inference a lot for my work (computational biology), I very often use uniform priors, but the structure of all real world problems I have ever encountered allows me specify hard bounds to the edges of non-zero probability.