When I was a teenager I had an idea: If you rolled marbles down a hill, assuming that identical starting conditions were applied each time, then the marbles' paths and final position would be the same each time. This also implies that if you know the starting conditions, you could calculate the state of any point in time from there. It made me curious whether you could apply this same logic to our universe -- though…
i think for physical systems this might hold true in some way, though, i am not a physics person at all. it just 'feels' that way to me. however, life is also there, and life doesnt nessesarily follow such rules, as actually most of (intelligent?) life is not physical. (emotions, thought etc.) but does have impact / effect on the physical. i dont think non physical things are so determenistic. (maybe they are, but it…
For non-physical things, such as emotions and thought... well, we have no actual proof they're anything but physical. We just don't have proof that they're entirely physical, either. But the simplest explanation is actually that they are completely physical processes and just as deterministic as everything else (which is to say, possibly not at all, depending on how QM is resolved).
[1] "Basically true" here means it's not strictly true (by that I mean it's not true in all possible cases) - but classical physics itself is not strictly true, thus relativity and QM... which are themselves not strictly true. We're still trying to find the theory that accurately describes all of physics.