But so is eternal inflation, so we are comparing infinities of the same cardinality. The solution seems to be that the Kolmogorov complexity of a typical Boltzmann brain is high, because its space-time coordinates have a length in bits exceeding the length of the description of the brain itself; by Solomonoff induction, we can therefore assign them a very low measure, even in total.
But so is eternal inflation, so we are comparing infinities of the same cardinality. The solution seems to be that the Kolmogorov complexity of a typical Boltzmann brain is high, because its space-time coordinates have a length in bits exceeding the length of the description of the brain itself; by Solomonoff induction, we can therefore assign them a very low measure, even in total.