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livbon@lemmy.world to Comic Strips@lemmy.world · 2 years ago

Infinite Hotel Paradox

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  • cross-posted to:
  • science_memes@mander.xyz
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Infinite Hotel Paradox

lemmy.world

livbon@lemmy.world to Comic Strips@lemmy.world · 2 years ago
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9
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  • cross-posted to:
  • science_memes@mander.xyz

https://en.wikipedia.org/wiki/Hilbert's_paradox_of_the_Grand_Hotel

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  • Nougat@fedia.io
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    2 years ago

    Ask all the guests in rooms >= 2 to move over one, then move into room 2.

    There is always a vacancy.

    • marcos@lemmy.world
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      2 years ago

      You will eventually reach a room with a worse situation than that one, and then your entire edifice falls apart again.

  • tetris11@lemmy.ml
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    2 years ago

    I once brought infinite* baggage to the infinite hotel. I was told to leave an infinite** amount of times, but I have an infinite** amount of time to wait in at the hotel lobby bar, drinking infinite** beers, until the infinite* taxi’s arrive.

    * = levels of infinity

    • kambusha@sh.itjust.works
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      2 years ago

      In finite we trust.

    • Gloria@sh.itjust.works
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      2 years ago

      Did you tip infinite?

  • JonC@programming.dev
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    2 years ago

    If they just have the guests stay in even numbered rooms, then they’ll always have an infinite number of rooms free.

    • palordrolap@fedia.io
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      2 years ago

      Are they free if you can’t put people in them?

      • Eheran@lemmy.world
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        2 years ago

        Asking the real questions here.

  • General_Effort@lemmy.world
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    2 years ago

    I wonder if the world would be any different if Hilbert had never lived.

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