Causality, Determination and such stuff. Little thought experiment: let's say you had a
save and
reload function with which you could save and reload certain moments in time and space with the exact same conditions as when you had first saved them. You are an independent observer of a Galton box like the one above and the
observer effect is not in play in our experiment. Given only one save and infinite reloads, could you, as a passive observer, accurately predict the outcome of the ball in infinitely many trials and definitively say that every single trial will have the same result? In that infinity, is there any margin for error?
I suppose this is a variation of
Laplace's demon, which has been mentioned farther up in this thread, but it's something I've considered since my early teen years, minus the specific example of the Galton box. In other words, is the universe a function, where variable y is the only possible outcome of x, or is it a nonfunction, where two or more outcomes y1, y2,...yn are possible given a single input x? Are quantum states completely and ideally random or are they dependent, where the first would theoretically change outcomes and the second would not?