marduk-kur:

I'm not sure why in a universe of all possible mathematical relationships (and thus all possible ASORs) there would not necessarily exist one that is infinite in complexity (or information content or whatever). Why does infinity have this special characteristic in the universe as it does not seem to have it in mathematics?

Is it because your model assumes our anthropomorphic perception of linear time? If we assume all times exist "simultaneously" (I hope you know what I mean) wouldn't we be infinitely likely to be observers who's complexity = infinity?

And ruling out infinite cases, wouldn't each succeeding set iteration dominate all previous ones? That would seem to place any particular observers short of Star Trek's Q in a very unlikely situation, statistically speaking. Is that correct?