The Boltzmann Brain problem isn't to do with the odds of life on other worlds. It's that even in a universe at thermodynamic equilibrium there is a possibility of atoms spontaneously assembling into clusters, including chance assembly of functioning (albeit extremely short-lived) brains - and predictions suggest that the existence of the universe approaching and at thermodynamic equilibrium is so long (possibly infinitely long) that even given the infinitesimally small probabilities of Boltzmann brain assembly, the overall number of Boltzmann brains will vastly outnumber evolved human brains... and therefore you're vastly more likely to be a Boltzmann brain than an evolved human.The odds being so overwhelming that there exists another world possible of sustaining life, that scientific philosophers still cannot get around the Boltzmann Brain problem. The Boltzmann problem, in the nutshell, is that the odds of there existing another life-sustaining world is so overwhelming that it is more probable that we are occasionally popping in and out of the equilibrium and experiencing reality.
It's an interesting idea, but there are some serious problems with it...
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