Earlier quoted context omitted.
> (Ok, so obviously the possibilities aren't endless, right?) This does not follow from the above. The set of positive integers is countably infinite. So is the set of positive even integers. Even if "half of the positive integers are missing!" there are still "endless" even postive integers.
By that logic the calculator app has an (effectively) infinite amount of functionality since there is an infinite number of integers which you can add together. Somehow though they still list all the features.
This doesn't follow at all. It's not what I said and I find it difficult to believe that you even think it's what I said.