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The knowledge that Faust seeks is about how things work. Even if our universe were indeterministic (which it probably is not), it is lawful, and the laws are very likely knowable. But even if that were not true, theism would not become the null hypothesis. Motivated reasoning!
Yeah so he highlights that indeterminacy is not an opportunity to posit the existence of God, otherwise missionaries would be knocking on doors with a copy of a Feynman book. What makes you think it is unlikely, though?
QM is reversible, which means that it is likely deterministic. But to know the exact future of the universe, you might have to run a copy of the full universe to that point. But as embedded observers, we may still figure out how to explain all observations.
It is deterministic only to a degree, unless you believe the hidden variables interpretation. Maybe I misunderstand you?
If you cannot delete bits (which seems empirically the case), every state of the universe has exactly one preceding state (= reversibility). Observed indeterminism is probably caused by computational irreducibility and nonlocality. (Space is not a totally flat regular lattice.)
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