Classical and Quantum Mechanics via Lie algebras
Right, so my point is that if we say there is some unknowable detail that determines the outcome, then nothing science could ever do could distinguish that from something that is simply not determined. So determinism or indeterminism exits science and becomes a personal philosophical choice, and that is what I would call "the measurement problem." It just plain wouldn't qualify as a measurement if it didn't have that property, and that I think is the fundamental paradox/limitation/weirdness of physics. The thermal interpretation has not made it go away, but amazingly, it has relegated it to a completely classical problem. The measurement problem is no longer in some strange quantum/classical interface (a la Copenhagen) nor is it strictly in the quantum domain (a la deBroglie-Bohm), it is still perfectly classical, and applies just as well when we shuffle a deck and pick a card.