Here is an example where the question of whether the two countings are the same is independent of the axioms of set theory. 

Namely, if the Continuum Hypothesis holds, then the number of real numbers is the same as the number of countable ordinals. But if CH fails, then it is not.

Examples of two different descriptions of a set that are not obviously equivalent?
I have Filezilla server running on a Windows 7 machine with a few users created. Right now I am forced to create a separate user for each of my three drives on that machine (C:, E:, and F:) because I cannot figure out how to change between drives while using filezilla client. I can traverse directories normally but I can only get to the drive that is set as "Home Directory" in the user settings on the server. How can I change drives without changing user?

I suppose mounting E: and F: as directories on C: like C:\E_Drive and C:\F_Drive would work but I don't want to do that unless I can keep them mounted as drive letters as well. Any suggestions?

I wasn't sure if this is a serverfault or a superuser question but because the solution could be a client or a server fix, I posted it here.
