[js1138]

I would think there is a burden to prove that physical laws are deterministic. This was an assumption for centuries, but only an assumption. There has been evidence against it as far back as Newton and the three body problem. Which, by the way, has no solution nor any prospect of solution.

[Doctor Stochastic]

K. F. Sundman did publish an analytical solution to the three-body problem in 1906. The European "rocket-scientists" tend to use his formulation for satellite computations where as their American counterparts solve the Newtonian formulas directly. (Both are numerical solutions; both methods are about equal in cost.)

There is no problem solving the three-body problem.