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Category: Science
Date: 01/22/14 07:30 AM

20 Responses to TED: The Infinite Hotel Paradox

  1. Profile photo of richanddead
    richanddead Male 18-29
    3318 posts
    January 22, 2014 at 7:28 am
    Link: TED: The Infinite Hotel Paradox - The Infinite Hotel, a thought experiment created by German mathematician David Hilbert, is a hotel with infinite rooms.
  2. Profile photo of SPERMBUBBLE
    SPERMBUBBLE Male 18-29
    125 posts
    January 22, 2014 at 7:42 am
    That was some nice animation explaining higher mathematics. But I have to wonder: What is the point?
  3. Profile photo of DuckBoy87
    DuckBoy87 Male 18-29
    3149 posts
    January 22, 2014 at 7:58 am
    I like these.

    My two favorite infinity problems are:
    1+2+3+4+5+6+ ... = -1/12
    and
    the number of numbers between 0 and 1 is greater than the number of counting numbers.
  4. Profile photo of furrything
    furrything Male 50-59
    1310 posts
    January 22, 2014 at 8:02 am
    ....this was infinitely specious IMHO.
  5. Profile photo of chicagojay
    chicagojay Male 40-49
    2018 posts
    January 22, 2014 at 8:21 am
    I still hate TED talks.
  6. Profile photo of CodeJockey
    CodeJockey Male 40-49
    5606 posts
    January 22, 2014 at 8:53 am
    "But I have to wonder: What is the point?"
    That a mathematician that specializes in thought experiments would be a lousy hotel manager since he`d keep asking people to move around for no reason, causing an infinite number of people to leave without paying...
  7. Profile photo of Draculya
    Draculya Male 40-49
    14544 posts
    January 22, 2014 at 9:31 am
    Welcome to the power of infinity. This is where logic breaks down.

    That is why religions use the concept of notional eternal unimaginable reward and eternal unimaginable punishment to justify ridiculous and counter-intuitive, not to mention potentially immoral, acts of limited though heinous impact in the real world.

    The solution is to multiply eternal judgement by the infinitesimally small likelihood of the existence of any god. Zero multiplied by infinity is zero.

    Another solution is to deduct the teachings that conflict with one or more competing religions which may differ in outlook, as infinity minus one or multiple infinities is zero.

    We must also acknowledge real world ethics/morality multiplied by the near perfect probability that the real world exists.

    Therefore, religion ranks zero against true impact in order of priority.
  8. Profile photo of SPERMBUBBLE
    SPERMBUBBLE Male 18-29
    125 posts
    January 22, 2014 at 9:38 am
    Draculya

    "The solution is to multiply eternal judgement by the infinitesimally small likelihood of the existence of any god. Zero multiplied by infinity is zero. "


    But infinitesimally small is not zero. Or have I misunderstood?
  9. Profile photo of widjadidja
    widjadidja Male 30-39
    66 posts
    January 22, 2014 at 9:43 am
    DuckBoy87, this is one of my favorites just for the fun of messing with people (the 0 to 1 thing). If infinity exists then there is no such thing as time. If 1 second exists, then half a second exists...and a quarter second... into an infinity of fractions. Which means since it never ends you can never get to let alone pass 1 second.
  10. Profile photo of naravin
    naravin Female 18-29
    656 posts
    January 22, 2014 at 10:21 am
    Lost me right around 2:55 lol
  11. Profile photo of Jake_Justus
    Jake_Justus Male 50-59
    7033 posts
    January 22, 2014 at 10:28 am

    This fails to take into account whether or not the infinite number of toilets in the infinite number of rooms have been sanitized for the protection of the infinite number of guests.

  12. Profile photo of Grendel
    Grendel Male 40-49
    5884 posts
    January 22, 2014 at 4:05 pm
    Which means since it never ends you can never get to let alone pass 1 second.

    Not quite, as what you`re describing is just an infinite number of increments in which to measure that second. It does not mean you cannot pass that second.

    Sounds alot like Zeno`s Dichotomy paradox which states that when Homer tries to catch a stationary bus, he`ll never reach it because before he reaches it, he must get halfway there. Before he can get halfway there, he must get a quarter of the way there. Before traveling a quarter, he must travel one-eighth; before an eighth, one-sixteenth; and so on.

    Ergo, he must complete and infinite number of tasks, which, in theory, is impossble.
  13. Profile photo of richanddead
    richanddead Male 18-29
    3318 posts
    January 22, 2014 at 5:54 pm
    Zeno`s Dichotomy paradox


  14. Profile photo of Kaagan
    Kaagan Male 18-29
    1596 posts
    January 22, 2014 at 7:50 pm
    welcome to discrete math 101.
    also he pronounced aleph null wrong, or at least different than I`ve ever heard a professor say it.
  15. Profile photo of Kaagan
    Kaagan Male 18-29
    1596 posts
    January 22, 2014 at 7:55 pm
    ""But I have to wonder: What is the point?"
    That a mathematician that specializes in thought experiments would be a lousy hotel manager since he`d keep asking people to move around for no reason, causing an infinite number of people to leave without paying... "


    when I learned this it was an example to teach induction. all induction is, is that, if you can prove that an `n` exists, you can prove an `n+1` exists too. its hard to grasp at first but it`s cake. also n has to be a number. you cant prove infinity and than infinity +1
  16. Profile photo of 5Cats
    5Cats Male 50-59
    31789 posts
    January 22, 2014 at 8:36 pm
    1:23 "Countably Infinite"?
    Isn`t that an oxymoron? :-/

    You`d need an infinite amount of time to pass out all those keys...

  17. Profile photo of 5Cats
    5Cats Male 50-59
    31789 posts
    January 22, 2014 at 8:40 pm
    @Jake_Justice: You bet they`re clean! Didn`t you see that hard working maid? ;-)

    I :heart: Zeno! His Arrow Paradox still rules!
  18. Profile photo of DromEd
    DromEd Male 40-49
    1851 posts
    January 23, 2014 at 6:46 am
    Why can`t he just hand the next guest the next key instead of pissing off an infinite number of people buy asking them to move?
  19. Profile photo of Grendel
    Grendel Male 40-49
    5884 posts
    January 23, 2014 at 8:10 am
    DromEd-"Why can`t he just hand the next guest the next key instead of pissing off an infinite number of people buy asking them to move?.

    Because there aren`t currently any empty rooms. He only creates empty rooms when someone moves.
  20. Profile photo of Grendel
    Grendel Male 40-49
    5884 posts
    January 23, 2014 at 8:33 am
    Nice pic, richanddead, but that`s an illustration of Zeno`s "Achilles and the tortoise". A type of Dichotomy paradox, but not the same.

    In Zeno`s "Dichotomy paradox", Homer is attempting to reach a fixed spot (a stationary bus), he never reaches it because me must first complete an ever smaller half-distance unto infinity.

    In Zeno`s "Achilles and the tortoise", Achilles is attempting to a catch a moving (albeit slow) target..the tortoise. Achilles will never catch the tortoise as whenever he reaches where the tortoise was, the tortoise has moved on. The distance between the two become infinitely small, but do not reach zero.

    I saw paper presented on this years ago. Thought it was interesting paradox, but fails in the real world.

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