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Remember Hotel Infinity? It
Solution
Because the hotel has infinite rooms, we can move any guest occupying any room n to room
n+1, then the newcomer into room 1. Which means, all of the current guests move down one
room so that you can move into the first room.
This is the Hilbert's paradox of the Grand Hotel with finitely many new guests.

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Remember Hotel Infinity ItSolutionBecause the hotel has infin.pdf

  • 1. Remember Hotel Infinity? It Solution Because the hotel has infinite rooms, we can move any guest occupying any room n to room n+1, then the newcomer into room 1. Which means, all of the current guests move down one room so that you can move into the first room. This is the Hilbert's paradox of the Grand Hotel with finitely many new guests.