Some other rules for the 2-4-6 game, so you can keep going if they get the first one:
The set has an even number in it
All three are 1-digit numbers
All three must be numbers
Whatever the numbers are, you alternate between replying 'yes' and 'no' (helps to be writing them down in this case)
Try to have more than one hypothesis under consideration at every time, and choose guesses which distinguish them.
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I think that anthropic reasoning only works when you have a good model of how you could have gotten into the situation in question.
For the beginning of the universe kinds of questions, as I see it, the options boil down to:
1) Is something vaguely like String Theory correct, in which a near-infinite ensemble of universes with different laws is created at the dawn of time, or continuously across time?
2) Are the laws we observe actually perfectly fundamental, and they just happen to be right?
3) Did some entity pick out these laws?
Anthropic reasoning gives us no reason to go for 2, but it is perfectly happy with 1, since it lets us discard all of the parts of the universe with rules that don't produce life capable of considering the question.