Specifically what is right? I am saying that if I am interpreting all this correctly (I am not positive on this point, hence I am posting here to ask) you end up finding an infinity that is less than aleph-naught, which contradicts what I interpret this article (http://en.wikipedia.org/wiki/Aleph_number) to be saying when it says that aleph-naught is the smallest infinite cardinal. Hence I am confused. Am I making some error here? BTW, I know who Cantor is. Thanks again for answering.