[quote=@Host]
<Snipped quote by whizzball1>

But it does. The entire situation could be abbreviated into a few math terms.
[/quote]

Maybe it does to you. But if I had received the paradox like that, it would have taken me considerably longer to figure it out. However, the idea that there's a hotel with an infinite number of rooms and all of them are filled is much easier to chew on than a function is, at least once you get into trying to add people to the hotel in infinite quantities.