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turchin comments on Doomsday argument for Anthropic Decision Theory - Less Wrong
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I think it is true, as we live in the infinite universe in many levels where all possible people exist. But this exhaust SIA action, and it becomes non-informative and thus does not cancel SSA in DA.
We might live in an infinite universe, but this does not have a probability of 100%.
The probability of it is high. There are several Tegmark's levels of the universe infinity which are mutually independent. (quantum multiverse, cosmological inflation, independent universes, eternal existence)
Also my own existence under SIA is argument for almost infinite universe.
And as humans are finite, we don't need infinite universe for existing of all possible humans, just very large.