Re: REALLY OT: News Flash
On Fri, 2007-02-16 at 14:55 -0600, Mike McCarty wrote:
> Celejar wrote:
> >
> > In Hilbert's hotel, when all the rooms are full and a new guest
> > arrives, the management just moves everyone down one room and places
> > the newcomer into the first room, which is now vacant.
>
> When a countably infinite number of new guests arrive, he accomodates
> them by moving each current guest into the room with the number
> 2x his current, so guest in room 1 goes to room 2, guest in room
> 2 goes to room 4, etc. This frees up rooms 1, 3, 5, 7, etc.,
> into which he places the new guests, by placing guest n into
> room with number 2n-1, so guest 1 goes into room 1, guest 2
> goes into room 3, etc.
>
> Ask me about the machine and the ping pong balls some time.
Tell us?
Hans
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