Our only chance at this point is to try to outsmart Omega. I know this sounds impossible, but we can at least make some partial progress. If Omega is only correct say 90% of the time, it is probably the case that his correctness is a function of complexity of your mental algorithm. The more complex your mental algorithm, the harder you will be to accurately predict. Once you reach a certain threshold of complexity, Omega’s accuracy will very quickly approach 50%.
Further, you have an hour. You can try a new different method to generate a pseudorandom bit every 5 minutes, and all it takes is for one of them to be unpredictable for you to bring Omega’s accuracy down to 50%
This doesn’t require actually outsmarting Omega, This just requires playing against Omega in a game so complex that his powers are less useful, and he has LESS of an advantage over you. You will not be able to pass 50%, unless you are actually smarter than Omega.
Our only chance at this point is to try to outsmart Omega. I know this sounds impossible, but we can at least make some partial progress. If Omega is only correct say 90% of the time, it is probably the case that his correctness is a function of complexity of your mental algorithm. The more complex your mental algorithm, the harder you will be to accurately predict. Once you reach a certain threshold of complexity, Omega’s accuracy will very quickly approach 50%.
Further, you have an hour. You can try a new different method to generate a pseudorandom bit every 5 minutes, and all it takes is for one of them to be unpredictable for you to bring Omega’s accuracy down to 50%
This doesn’t require actually outsmarting Omega, This just requires playing against Omega in a game so complex that his powers are less useful, and he has LESS of an advantage over you. You will not be able to pass 50%, unless you are actually smarter than Omega.