Whenever your expected value calculation relies on infinity—especially if it relies on the assumption that an infinite outcome will only occur when given infinite attempts—your calculation is going to end up screwy. In this case, though, an infinite outcome is impossible: as others have pointed out, the EV of infinitely taking the bet is 0.
Relatedly, I think that at some point moral uncertainty might kick in and save the day.
Whenever your expected value calculation relies on infinity—especially if it relies on the assumption that an infinite outcome will only occur when given infinite attempts—your calculation is going to end up screwy. In this case, though, an infinite outcome is impossible: as others have pointed out, the EV of infinitely taking the bet is 0.
Relatedly, I think that at some point moral uncertainty might kick in and save the day.