Ludwig Boltzmann, who spent much of his life studying statistical mechanics, died in 1906 by his own hand. Paul Ehrenfest, carrying on the work, died similarly in 1933. Now it is our turn to study statistical mechanics.

-Opening sentence of the textbook States of Matter by David Goodstein.

This doesn't solve the problem. If the universe is indeed infinite then there are infinite cases of our evaluation and infinite identical yous out there. If the Boltzmann brain hypothesis is true though, there are vastly "more" of those. It's a larger infinity, making it much more lively you are a Bultzmann brain than a full physical person.