But I'm saying it's not potentially infinite, the expansion of the universe would seem to preclude that. I don't think the weakest aspect of the Carter catastrophe conjecture is the assumption of a finite total human population, it is the assumption of a lack of correlation between the current birth number and the expectation of future longevity. But perhaps one could merge the arguments and say that if the total number may be assumed to be finite, then correlations exist between current birth number and the possible totals, and if the total is potentially infinite, then no such correlation exists but then the Carter conjecture is invalid on the grounds you raise.