User:Levi owsz

= Hilberts Infinite Hotel Paradox =

You are the manager of a hotel with a infinite number of rooms, and also guests. One night, it is fully booked.

If a finite amount of guests come in.
You ask the guest in Room 1 to go to Room 2.

Or go to Room n to Room n+n

n1:room number

n2=amount of guests

So if you have $$ 10^{100} $$ guests coming in,

tell the guest in Room $$ n \ to \ n+10^{100} $$