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raspberry_confetti@lemmy.ml to Memes@lemmy.ml · 2 years ago

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raspberry_confetti@lemmy.ml to Memes@lemmy.ml · 2 years ago
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  • dona1dquixote@lemm.ee
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    2 years ago

    I’m not familiar with the Grand Hilbert Hotel. What is this a reference to?

    • crystenn@lemmy.ml
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      2 years ago

      iirc correctly it’s a thought experiment where you have a hotel with an infinite number of rooms, full with an infinite number of guests. a bus comes along with an infinite number of guests, can the hotel accommodate them? the answer is always yes and simply depends on how you move the current guests around in the hotel. it gets pretty convoluted so check out the link for more info bc god knows i wouldn’t be able to relay it accurately

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

      • glorious_albus@lemmy.world
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        2 years ago

        iirc correctly

        • crystenn@lemmy.ml
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          2 years ago

          rip in peace (brain fart moment lmao)

      • whileloop@lemmy.world
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        2 years ago

        That’s exactly right. Technically, the meme is incorrect though because the hotel can accommodate Sisyphus by simply asking everyone to move to the next room. The person in room x moves to room x+1.

        • MothBookkeeper@lemmy.world
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          2 years ago

          It said “may not,” not “can not.” The hotel may choose not to move everyone to a new room.

          • whileloop@lemmy.world
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            2 years ago

            You make a good point. Asking all guests to move in order to make room for one guy and a big rock seems a bit unreasonable.

            • Skiv@lemmy.world
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              2 years ago

              You might be surprised how motivating a man with a big rock can be.

      • Shard@lemmy.world
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        2 years ago

        The answer isn’t always a yes.

        There are conditions where the Hilbert hotel can “run out” of rooms.

        Veritasium has a great video on this

        https://youtu.be/OxGsU8oIWjY?t=194

      • roon@lemmy.ml
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        2 years ago

        Wasn’t there a vsauce video about this?

        Edit: https://youtu.be/s86-Z-CbaHA?t=6m47s

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