There is an interesting post at XOR's Hammer. He tries to create a question to ask of the truth-telling god (see here for the details on "the hardest logic puzzle ever") that is similar to a revenge problem for the Liar paradox. He tries to extend on the notion of exploding god-heads (see here) such that "we may actually extract an unbounded amount of information from a single yes-or-no question by choosing the question carefully and then observing how much of the universe is destroyed by our asking it". It's a neat idea but as I say in the comments I am not sure exactly how it is going to work...
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