What is the set of all possible universes?
What is a reasonable prior/posterior distribution for the universe that I
am in?
Why do we believe that both the past and the future are non-random, but
the future is more random than the past?
Before observing anything about the universe, should we expect it to have
(infinitely?) many observers?
How can we/should we predict the future and postdict the past?
Here are some papers that can serve as a basis for the discussion:
"Investigations into the Doomsday Argument", Nick Bostrom,
http://www.hedweb.com/nickb/140797/doomsday.html
"A Computer Scientist's View of Life, the Universe, and Everything",
Juergen Schmidhuber, http://www.idsia.ch/~juergen
"Is ``the theory of everything'' merely the ultimate ensemble theory?",
Max Tegmark, http://www.sns.ias.edu/~max/toe.html
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