@VideCorSpoon,
ok ..... on with the pseudo science lol
The difference between the world being inherently fuzzy and on the other hand appearing fuzzy, is of course just a tad fundamental in its consideration. Probability theory is used to refine the picture under both circumstances, but can it decide which philosophical scheme is more accurate?
The 'return to determinism' contenders are most notably called the hidden variable theories. Theories that claim that QM 'may appear' to be inherently indeterministic, but this is only an approximation of an underlying classicalism (determinism).
Probability theory is always seen in these terms, as what is required to manage the incomplete acquisition of information, that is nevertheless always there to be had.
One sense in which QM can be described as indeterminate is that according to QM, exactly the same experiment repeated would yield only a probability that we would get exactly the same result,
even if it were possible to set it up exactly again and again. ie there are no hidden structures that can be set up such that an
experiment will repeatedly yield the same result, as compared to the previously predicted probability distribution of QM of the same experiment.
Probability theory is always seen in these terms as what is required to understand the fundamental nature of reality ..... and not just the management of missed or generalised information.
There doesn't appear to be a way of telling which is true by probability theory itself. It works just as well and as strangely in either circumstance. But having said that, QM is weird! It describes entangled states between particles such that they are concieved as instantaneously connected while also being in an indeterminate state prior to the collapse of that state. Thats something classicalism would never come up with. Its a possibility.
Generally speaking as people we have the common sense view that something exists clearly. Yet when we use probability theory on such cases as the two child problem above, we get confused. There is nothing QM going on here. Why does this happen? I wonder if the reason is because we have as people a completely contrary view to existence as we do to the future. ie common sense tells us that the future is not determined, and any of six numbers can occur on the face of the next dice. In other words the future doesn't exist clearly. With regard to the past on the other hand we tend to have a more ambiguous attitude. It clearly happened, but doesn't exist!
What probability theory in the classical sense does, is on occasions mix our common sense of clear existence in the present, with our common sense of the future does not exist and our ambiguous relationship to the past. I think the two child problem and the two envelope problem can be seen in these terms such that we can get a clue as to why we become confused.
Determinism makes the present all nice and clear. It is attractive for that reason. Indeterminism makes the future unclear, and is attractive for that reason. Classicalism makes the past and future as clear as the present, and that can feel uncomfortable. QM makes the future and the present unclear......... and that feels weird
But what about the past? We use probability theory in the classical sense to manage incomplete acquisition of information. That feels ok because our relationship to the past is ambiguous anyway. But could we apply indeterminism to the past and feel ok too?