controlgroup wrote today at 3:35 AMSet theory distinguishes between aleph nought, "the first countable infinity" and aleph one "uncountable infinity". It's designed to measure whether a set is numerable or not, which is a fancy way of saying "theoretically countable". It doesn't really intersect with the "god" debate, in fact none of the infinity stuff does. YOu're not measuring "infinity" at all (except possibly as a set of things such a god could do, which would be ridiculous because the set of things I can do is uncountably iinfinite. Am I then a god?) No. The meta question that starts the debate is "can we define any characteristics of an omnipotent god that are testable either by theory, epistemology (theory again really), measurability, or comparison with the real external world?"