Doomsday Argument
Book
probabilistic argument that claims to predict the number of future members of the human species given an estimate of the total number of humans born so far
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Videos Mentioning Doomsday Argument

Nick Bostrom: Simulation and Superintelligence | Lex Fridman Podcast #83
Lex Fridman
An argument suggesting we have systematically underestimated the probability of humanity going extinct soon, based on Anthropic reasoning and our birth rank.

What If Humanity Is Among The First Spacefaring Civilizations?
PBS Space Time
Referenced as a related topic for calculating expiry dates and other surprising things about the universe, with a recommendation to check out a separate video on the subject.