How come no one has yet investigated whether or not Ha’ro’s suggestion can be proven or disproven from first principles?
As far as I know it has been disproven from first principles. If we should put an equal probability on all non-mangled worlds, then we should expect to find ourselves in a high-entropy world, unless I’ve misunderstood and the number of non-mangled worlds stays exactly constant under entropy increase.
I think it would be possible to prove that if you made a monkey type out a random program with the universe as input, it would output your mind with a probability proportional to the squared amplitude of your world. I think if you studied the orthodox Deutsch/Wallace/Greaves decision-theoretical account of probabilities in MWI, you would understand how to do this proof, even though they don’t put it in these terms. But I’m not sure.
How come no one has yet investigated whether or not Ha’ro’s suggestion can be proven or disproven from first principles?
As far as I know it has been disproven from first principles. If we should put an equal probability on all non-mangled worlds, then we should expect to find ourselves in a high-entropy world, unless I’ve misunderstood and the number of non-mangled worlds stays exactly constant under entropy increase.
I think it would be possible to prove that if you made a monkey type out a random program with the universe as input, it would output your mind with a probability proportional to the squared amplitude of your world. I think if you studied the orthodox Deutsch/Wallace/Greaves decision-theoretical account of probabilities in MWI, you would understand how to do this proof, even though they don’t put it in these terms. But I’m not sure.
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