In reply to:
But that has little to do with steveb's assertion, also correct, that the members of the set of all subsets of a given set cannot be placed into one-to-one correspondence with the members of that set.
Actually, I wasn't denying what steveb said. I'm well aware of that proof. I was just saying that when you're counting infinities the normal common-sense rules don't apply. Hilbert's Hotel is a good example.
I love little diversions like this.
Save the whales. Feed the hungry. Free the mallocs.