Thanks, this is very insightful. Can you explain a little bit more on the following:
Can you give examples of such systems with indeterminable initial conditions? When learning SR, we often encounter solve standard kinematics problems that give us the relative velocities and positions of the objects in the system, which are enough to fully determine their trajectories in space-time. In that way I can’t see anything philosophically interesting about SR compared to classical physics with regards to determinism. So I suppose you are referring to something more complicated than this?
Can you explain on this as well? In the traditional Newtonian machine-like picture of the world as I understood it in principle everything ultimately proceeds from simple kinematics. Laplace’s demon is an illustration of this principle.