These are not -strictly speaking- philosophical interpretations, but different interpretations within physics. Please have a look at this wonderful Wikipedia entry that lists the various interpretations. Physicists are themselves divided on the question whether the physical universe is ultimately deterministic or not. As things stand now, the majority seems to think that nature is indeterministic.Mawkish1983 wrote:Well I've leave the philosophical interpretations to the philosophers.
Yes, but even the Uncertainty Principle can be interpreted in two ways, namely that (a) it describes a property of nature, or (b) that it describes only the limitation of the interaction between nature and an observer. It is not -in the strict sense- proof for an indeterministic universe. For example, Einstein followed the second thought when he introduced the concept of hidden variables.Mawkish1983 wrote:Heisenburg's uncertainty principal, however, is clear; the exact position and the exact momentum of a particle cannot be simultaneously known.
I am playing devil's advocate here, because the indeterministic interpretation is in fact much more plausible to me, but it is important to make the above distinction, namely that QM strongly suggests indeterminism, but ultimately cannot prove it. BTW, chaotic systems, or respectively nonlinear dynamical systems, which you also mentioned, are 100% deterministic, but computationally complex and therefore intractable. Philosophically, this means that chaotic systems don't suggest indeterminism but that they are not computable and therefore not predictable.
Cheers, Thomas