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The Infinity Hotel

Pah

Uber all member
standing_on_one_foot said:
Just have everyone move so that there's one empty room between each guest there...and now there's an infinite number left open. Yeah?

2 times infinity remains infinity, after all.
Frubals for the mechanism. The problem solution in the book said for everybody to move to twice the room which would give the result you specified The answer then would be that you end up in room 2.
 

standing_on_one_foot

Well-Known Member
Hahah! Studying calculus does have a purpose :p You could get any room number you wanted though, yeah, if you just have everyone after that move down one?
 
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