Heavenly Problem II
So, if you haven't looked at the first Heavenly Problem then please do so.
That way I don't have to repeat the components about Heaven Hotel.
So the spirit earns a room as the manager hotel solved it by telling every guest to move over 1 room. 1st room to 2nd room, 2nd room to 3rd room and so on.
And because there are infinite amount of rooms,
the first room should be vacant so the spirit goes in there.
But one day, when the "No Vacancy" sign was up once more,
every spirit and soul from down below (starts with an H, if you dare say it...)
was granted to move into Heaven Hotel.
Now how is the manager angel going to give each & every spirit and soul a room.
(by the way there are uncountably many spirits that has to move in)
That way I don't have to repeat the components about Heaven Hotel.
So the spirit earns a room as the manager hotel solved it by telling every guest to move over 1 room. 1st room to 2nd room, 2nd room to 3rd room and so on.
And because there are infinite amount of rooms,
the first room should be vacant so the spirit goes in there.
But one day, when the "No Vacancy" sign was up once more,
every spirit and soul from down below (starts with an H, if you dare say it...)
was granted to move into Heaven Hotel.
Now how is the manager angel going to give each & every spirit and soul a room.
(by the way there are uncountably many spirits that has to move in)
Labels: SharedPuzzle
posted by James Yu at
9:22 PM
10 Comments:
Well since it is Heaven Hotel.. I would bump every guest back one room and put every "new" soul into room number 1 .. Being Heaven the rooms must be infinitely large and can hold as many guests as needed and thus fix the problem of splitting the souls ans spirits.
Like I said in the first puzzle, an infinite amount of rooms can be filled using the method of one room to the next.
This was simple up until the word "unaccountably", as far as I know this is only solvable for a countable union of countably infinite sets.
Uncountably many sould is way more.
Tell them all to go to the first unoccupied room.
Personally, I agree with the first Anonymous. I also think (i know this sounds silly)
That they should just build ANOTHER hotel just for the spirits from down below. It's so much EASIER!
again its not that tricky, tell them to find an empty room and take it.
oh and by the way uncountable and infinite is not the same thing.
1 million is uncountable but its still a manageable number.
1 million is countable as it is finite, fool.
Have the tenants move to their room number times two and then there are infinitly many odd numbered room available
AJ you don't have to call him a fool, and the method of moving up one room till there finished.
You could ask the spirit at the last room what room he moved into and let all of the souls go into the rooms after that.
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