Devastatingly hot take: Hilbert's Hotel can't actually accommodate any additional guests, because walking between rooms is not a form of accommodation.
If the hotel appears as an infinite number of already occupied rooms, every single person you add will cause one other person to have to be in the hallway, forever.
Adding one person means everyone has to walk one room further down the hallway. It's only like five minutes of inconvenience each. Many hands make light work.
Devastatingly hot take: Hilbert's Hotel can't actually accommodate any additional guests, because walking between rooms is not a form of accommodation.
If the hotel appears as an infinite number of already occupied rooms, every single person you add will cause one other person to have to be in the hallway, forever.
Adding one person means everyone has to walk one room further down the hallway. It's only like five minutes of inconvenience each. Many hands make light work.
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I suppose if you do sync it up it would work. I was imagining one person moving at a time