Another Look at the “Doomsday Argument”
One way to look at the “Doomsday Argument” (detailed explanation here) is to consider the information content of the news that we are in the first trillionth (or some similar reasonable fraction) of humanity. It is around 40 bits. That means we should not be surprised at such news if there are more than 40 bits that indicate we are in the first trillionth of humanity. There are more than 40 bits pointing in that direction.