You are using the wrong sense of “can” in “cannot make different decisions”. The every day subjective experience of “free will” isn’t caused by your decisions being indeterminate in an objective sense, that’s the incoherent concept of libertarian free will. Instead it seems to be based on our decisions being dependent on some sort of internal preference calculation, and the correct sense of “can make different decisions” to use is something like “if the preference calculation had a different outcome that would result in a different decision”.
Otherwise results that are entirely random would feel more free than results that are based on your values, habits, likes, memories and other character traits, i. e. the things that make you you. Not at all coincidentally this is also the criterion whether it makes sense to bother thinking about the decision.
You yourself don’t know the result of the preference calculation before you run it, otherwise it wouldn’t feel like a free decision. But whether Omega knows the result in advance has no impact on that at all.
You are using the wrong sense of “can” in “cannot make different decisions”. The every day subjective experience of “free will” isn’t caused by your decisions being indeterminate in an objective sense, that’s the incoherent concept of libertarian free will. Instead it seems to be based on our decisions being dependent on some sort of internal preference calculation, and the correct sense of “can make different decisions” to use is something like “if the preference calculation had a different outcome that would result in a different decision”.
Otherwise results that are entirely random would feel more free than results that are based on your values, habits, likes, memories and other character traits, i. e. the things that make you you. Not at all coincidentally this is also the criterion whether it makes sense to bother thinking about the decision.
You yourself don’t know the result of the preference calculation before you run it, otherwise it wouldn’t feel like a free decision. But whether Omega knows the result in advance has no impact on that at all.