This paradox is used to explain how infinity plus one can work, or infinity doubled.
Imagine a hotel with infinite rooms and infinite guests in
those rooms. But, oh the horror, someone new appears and needs a room.
The simple answer he came up with was that everyone moved
over one room, so the newcomer gets room 1, and whoever was in room 1 before is
now in room 2 and so on.
But, suddenly a bus shows up with an infinite number more of
guests. Where do they go?
His answer was that he’d ask everyone to go to the room
number double theirs, so room 3 goes to room 6 and so on, which leaves all the
odd numbers open for the new guests to use.
If you want to know more, check the sources below.
Source:
Math Stack Exchange- Hilbert’s Hotel
No comments:
Post a Comment