The problem needs lots of little hypotheses about Omega. In general, you can create these hypotheses for yourself, using the principle of “Least Convenient Possible World”
In your case, I think you need to add at least two helper assumptions—Omega’s prediction abilities are trustworthy, and Omega’s offer will never be repeated—not for you, not for anyone.
The problem needs lots of little hypotheses about Omega. In general, you can create these hypotheses for yourself, using the principle of “Least Convenient Possible World”
http://lesswrong.com/lw/2k/the_least_convenient_possible_world/
Or, from philosophy/argumentation theory, “Principle of Charity”.
http://philosophy.lander.edu/intro/charity.shtml
In your case, I think you need to add at least two helper assumptions—Omega’s prediction abilities are trustworthy, and Omega’s offer will never be repeated—not for you, not for anyone.