With the simulation requiring higher fidelity the more accurate it has to be. For a perfect simulation, the involved components would need to be perfectly mimicked.
This is false, unless you’re also expecting perfect precision, whatever that means. Omega is looking for a binary answer, so probably doesn’t need much precision at all. It’s like asking if the cannonball will fall east or west of its starting position—you don’t need to model much about it at all to predict its behavior perfectly.
how else would that belief of Omega’s be justified
Nobody claimed that Omega’s beliefs are justified, whatever that means. Omega doesn’t need to have beliefs. Omega just needs to be known to always tell the truth, and to be able to perfectly predict how many boxes you will choose. He could have sprung into existence at the start of the universe with the abilities, for all we know.
If the universe is deterministic, then one can know based on just the starting state of the universe how many boxes you will pick. Omega might be exploiting regularities in physics that have very little to do with the rest of your mind’s computation.
This is false, unless you’re also expecting perfect precision, whatever that means. Omega is looking for a binary answer, so probably doesn’t need much precision at all. It’s like asking if the cannonball will fall east or west of its starting position—you don’t need to model much about it at all to predict its behavior perfectly.
Nobody claimed that Omega’s beliefs are justified, whatever that means. Omega doesn’t need to have beliefs. Omega just needs to be known to always tell the truth, and to be able to perfectly predict how many boxes you will choose. He could have sprung into existence at the start of the universe with the abilities, for all we know.
If the universe is deterministic, then one can know based on just the starting state of the universe how many boxes you will pick. Omega might be exploiting regularities in physics that have very little to do with the rest of your mind’s computation.