Unless Omega is quite sure that you have precommitted to never opening Box A ever
Well, this isn’t quite true. What Omega cares about is whether you will open Box A. From Omega’s perspective it makes no difference whether you’ve precommitted to never opening it, or whether you’ve made no such precommitment but it turns out you won’t open it for other reasons.
Assuming that Omega’s “prediction” is in good faith, and that we can’t “break” him as a predictor as a side effect of exploiting casuality loops etc. in order to win.
I’m not sure I understood that, but if I did, then yes, assuming that Omega is as described in the thought experiment. Of course, if Omega has other properties (for example, is an unreliable predictor) other things follow.
Well, this isn’t quite true. What Omega cares about is whether you will open Box A. From Omega’s perspective it makes no difference whether you’ve precommitted to never opening it, or whether you’ve made no such precommitment but it turns out you won’t open it for other reasons.
Assuming that Omega’s “prediction” is in good faith, and that we can’t “break” him as a predictor as a side effect of exploiting casuality loops etc. in order to win.
I’m not sure I understood that, but if I did, then yes, assuming that Omega is as described in the thought experiment. Of course, if Omega has other properties (for example, is an unreliable predictor) other things follow.