Comments on: Hilbert’s Paradox of the Infinite Hotel https://puzzlewocky.com brain teasers, word games, paradoxes, situation puzzles, and optical illusions Sat, 18 Nov 2023 10:09:39 +0000 hourly 1 https://wordpress.org/?v=6.9.4 By: Jason Barbu https://puzzlewocky.com/paradoxes/paradox-of-the-grand-hotel/#comment-395 Sat, 18 Nov 2023 10:09:39 +0000 https://puzzlewocky.com/?page_id=868#comment-395 can i play this game at 7 years old

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By: Frank Jennings https://puzzlewocky.com/paradoxes/paradox-of-the-grand-hotel/#comment-345 Wed, 15 Jun 2022 07:29:36 +0000 https://puzzlewocky.com/?page_id=868#comment-345 Just thinking from a different perspective, on the infinite hotel problem, where a new guest wishes to book a room. The hotel is full, so everyone moves up a room number and frees up room one.
This is a problem for me, because I’m thinking that somebody along the line is going to be without a room, or there will be two guests in one room somewhere along the line of rooms. Because the rooms go on for infinity, there will always be someone alone the line moving up a room number, forever. Therefore if you say two people cannot occupy one room, ever, then there must always be someone in the corridor waiting to move rooms.
Therefore you evicted someone along the line of rooms
In the process of filling room one.
Does anyone have an answer to this, or does anyone agree with my logical conclusion? A full hotel, is a full hotel, and cant accommodate any more guests, unless someone else moves out, otherwise you have a logical self contradiction.

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By: meg mayson https://puzzlewocky.com/paradoxes/paradox-of-the-grand-hotel/#comment-136 Thu, 23 Aug 2018 11:56:20 +0000 https://puzzlewocky.com/?page_id=868#comment-136 The hotel is still under construction, it can never be completed otherwise the number of rooms would be finite.

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