<< That being said, trust me when I say that if you think that I am being obtuse; it is certainly not intentional. >>
That is a very acute observation, however your angle on this is not necessarily the right one. You seem to be trying to tell us that the non-technical, everybody-knows-it interpretation of words like "innumerable" or "countable" is THE correct one. It may sound confusing to hear an infinite set described as "countable" or "denumerable", since the intuitive reaction is to think that you couldn't really count every element one by one. And we tend to use words like "innumerable" or "countless" to mean "infinite" or "a really really huge number". Bill is just using the technical term "denumerable" as used by mathematicians. End of discussion. You may now go to recess.
