Hilbert imagines a hypothetical hotel with rooms numbered 1, 2, 3, and so on. The hotel is full and new guest arrives wanting a room. I can not move any guest. So i say to new guest wait 1 sec a new room must become available as Infinite guests one must leaving at any time.

is this good answer?

  • RavenofDespair@lemmy.mlOPEnglish
    32·
    5 days ago

    The paradox is saying that for every number N there is an occupied room in the infinite hotel. But that there is still vacancy. The paradox

    wikipedia - Hilbert’s paradox of the Grand Hotel Hilbert imagines a hypothetical hotel with rooms numbered 1, 2, 3, and so on with no upper limit. This is called a countably infinite number of rooms. Initially every room is occupied, and yet new visitors arrive, each expecting their own room. A normal, finite hotel could not accommodate new guests once every room is full. However, it can be shown that the existing guests and newcomers – even an infinite number of them – can each have their own room in the infinite hotel.

    As for the one i wrote what do you think?