• @[email protected]
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    221 year 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

    • @whileloop
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      111 year 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
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        121 year ago

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

        • @whileloop
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          81 year 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
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            61 year ago

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

    • @Shard
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      41 year 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