How does the logic here work if you change the question to be about human history?
Guessing a 50⁄50 coin flip is obviously impossible, but if Omega asks whether you are in the last 50% of “human history” the doomsday argument (not that I subscribe to it) is more compelling. The key point of the doomsday argument is that humanity’s growth is exponential, therefore if we’re the median birth-rank human and we continue to grow, we don’t actually have that long (in wall-time) to live.
How does the logic here work if you change the question to be about human history?
Guessing a 50⁄50 coin flip is obviously impossible, but if Omega asks whether you are in the last 50% of “human history” the doomsday argument (not that I subscribe to it) is more compelling. The key point of the doomsday argument is that humanity’s growth is exponential, therefore if we’re the median birth-rank human and we continue to grow, we don’t actually have that long (in wall-time) to live.