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Hotel Infinity paradox (your brain will hurt, promise)

Discussion in 'Science & Technology' started by qubit, Dec 20, 2011.

  1. qubit

    qubit Overclocked quantum bit

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    Watch the video.

    New Scientist
    Frederik S, Chevalr1c and Damn_Smooth say thanks.
  2. twilyth Guest

  3. trickson

    trickson OH, I have such a headache

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    Dumb . Infinite is infinite . So no matter how you look at it every one will have a room . No matter how many show up ! Because you can not fill infinity up . It is the ultimate number !
    Last edited: Dec 20, 2011
  4. pantherx12

    pantherx12 New Member

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    + one.

    If an "infinite" hotel existed it would create new rooms as people turned up.

    Or one room would exist how ever the key used would determine what point in time/space you ended up at.

    Ultimately I think what is important here is that an infinite hotel would not exist. :laugh:


    ( I mean people moving rooms is no different to people who arrive going to those rooms that the people would of moved too.)
  5. trickson

    trickson OH, I have such a headache

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    So no matter how many MORE people show up you would not need to have any one change rooms at all as there would still be more than enough room for them all . Man FUCK this ! My head hurts . :wtf:
  6. pantherx12

    pantherx12 New Member

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    Yup, if it were possible the "easiest" way to do this would be the key to one door that opened up to a different room way.

    Multiple points in space time through the one door : ]

    ( When I say key, I mean some sort of key card as you could room 1 the code would be 1 and so on since counting is something that can go on infinitely this would work nicely)
  7. theJesus

    theJesus

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    I didn't watch the video, but that's exactly what comes to my mind as well. Maybe I just have a very limited understanding of infinity.
  8. Yukikaze

    Yukikaze

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    To be nitpicky: Infinity is not a number.
  9. Damn_Smooth

    Damn_Smooth New Member

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    To be fair, it's painfully obvious that the person you quoted and most others in this thread didn't watch the video either, because it has nothing to do with the hotel filling up.
    qubit and theJesus say thanks.
  10. pantherx12

    pantherx12 New Member

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    I did watch the video, the very concept of the guys theoretical hotel is stupid.

    It magically gets extra rooms when people move rooms, and yet people can't just walk in and head directly to those rooms.

    You know maybe rather than making assumptions you should make a counter point to what people have already said, get a discussion going.
  11. AphexDreamer

    AphexDreamer

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    What has been stated is obvious to me as well.

    However... Unless they mean to say that each room is percicely filled up with 1 guest.

    So a hotel with infinite rooms filled up with infinite people should have no room for a bus load of another infinite load of people let alone 1 more person cause the otherwise infinite hotel has been filled with the infinite amount of people in it.

    I think I understand the paradox now. Never heard of it till now as well.
    Chevalr1c says thanks.
  12. pantherx12

    pantherx12 New Member

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    It's not really a paradox though, it's just the basics of infinity.

    I.E it's something with no limit.


    Something that can never cease expanding is infinite.

    Unless they are trying to highlight that the idea of infinity is a paradox it's self.

    Then they are right :laugh:


    There was dude who literally went insane from spending to much time thinking about infinity.

    The same could happen to us if we're not careful :laugh:
  13. AphexDreamer

    AphexDreamer

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    I think the paradox is how can you fill infinity when it is infinity? Which is what is happening in the paradox.

    I think that is what it is trying to accomplish?
    They are trying to fill infinite rooms with infinite people so how can you add another infinite load of people let alone just one if they rooms are all already taken.
  14. pantherx12

    pantherx12 New Member

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    But that isn't what it's saying though ( if it is that the video does not explain it very well at all)

    It simply asks " what if an infinite amount of people turn up to an infinite hotel"

    And simply you'll see a never ending ine of people going inside

    Although as it's a hotel you would see a never ending line of people leaving the hotel as well.



    Again it's not so much a paradox as simply what people understand to be infinity these days.
  15. AphexDreamer

    AphexDreamer

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    I swear I didn't cheat before! But I finally looked up the wiki version lol.


    Consider a hypothetical hotel with countably infinitely many rooms, all of which are occupied – that is to say every room contains a guest. One might be tempted to think that the hotel would not be able to accommodate any newly arriving guests, as would be the case with a finite number of rooms.
    http://en.wikipedia.org/wiki/Hilbert's_paradox_of_the_Grand_Hotel

    The video was terrible at explaining it and I drew the same conclusions as everyone else till I thought about it a bit more. The wiki confirms my final way of thinking.
  16. qubit

    qubit Overclocked quantum bit

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    I said your head will hurt people... lol :) Infinity does that to you.

    The more you think about infinity, the weirder it becomes and no-one on this planet understands it fully at its deepest level and likely never will.
  17. AphexDreamer

    AphexDreamer

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    Well the underlying problem here is people aren't even recognizing the paradox. I'm trying to shed some light on that first, then they can get lost in it.
    qubit says thanks.
  18. pantherx12

    pantherx12 New Member

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    It shouldn't make peoples head hurt is the thing.


    Something that doesn't have a limit is infinity.

    It always baffled me how people over complicate it.

    Infinite money = ceaseless amount.

    Infinite universe = A universe that constantly expands.
    qubit says thanks.
  19. pantherx12

    pantherx12 New Member

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    Because their is no paradox, infinity it's self is the only paradox.

    Literally any reference to infinity is a reference to a paradox.
  20. AphexDreamer

    AphexDreamer

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    I WON' STOP TILL YOU GET IT !!!

    Yes that is all true, everyone who understands the paradox understands that.

    So now take a Hotel with infinite amount of rooms and now occupy every single one of those rooms with infinite amount of people.

    Did you do that?

    Now your hotel of infinite room has been filled to the brim (Complete booked, Totally Occupied) with an exact same amount of infinite people.

    Now can there possible be any more room to add any one else? Perhaps fit another bus full of infinite people?

    Yes? No?
  21. dorsetknob

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    Dorset where else eh?
    Theology predicts that there is one such place already and the management do not turn away anyone who arrives (with or without a reservation)
  22. pantherx12

    pantherx12 New Member

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    Yes and no.

    Yes because there will always be more room as the infinite hotel would expand to meet demand.

    No because people would always be entering the hotel because It's it's an infinite amount of people going in.


    Again that is the very nature of infinity, infinity is ALWAYS a paradox.
  23. AphexDreamer

    AphexDreamer

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    Right. And the wiki mentions this

    These cases demonstrate the 'paradox', by which we mean not that it is contradictory, but rather that a counter-intuitive result is provably true:
  24. theJesus

    theJesus

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    What I don't understand is the concept of adding an infinite amount of people to an already infinite amount of people. It's like multiplying infinity by two, you get infinity regardless.
  25. Damn_Smooth

    Damn_Smooth New Member

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    Maybe before you go making assumptions you should read what I wrote. I said most, not all. Rooms take up space, I don't know how you think there can be an unoccupied room every time someone walks in. I don't know where you're getting this magically gets extra rooms from either, the rooms were already there.

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