Wow, thanks for the badge and the book recommendation. I've been (passively) looking for a good arrow of time exploration, and it seems like The Accidental Universe might have one. I'm not sure where you would have heard of Scott Aaronson, I had previously enjoyed his "Who Can Name the Bigger Number", but didn't make the connection until reading his Wikipedia page. Perhaps you're thinking of Scott Adams? I think that's why his name seems so familiar to me. -- I think wasoxygen had a point about the dice room only seeming paradoxical due to the ill-defined infinities involved. I can't come up with a finite game with the same principles that seems counter-intuitive. A commenter in the article wasoxygen linked mentioned the problem is similar to the roulette strategy where you keep doubling your bet until you win. Even if these do all boil down to imprecise language, I've really enjoyed playing with the ideas.