Here's a math puzzle

Suppose you go to a hotel and ask for a room and the clerk says that there are no room available. The clerk then states that if I ask everyone to move to the room next them, then a room will become available. For example, the people in room 1 will move to room 2, from room 2 to room 3 and so on. The people in the last room will move to room 1. How does a room open up???

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This is a hotel with an infinite number of rooms, therefore noone ever moves into room 1. It's kind of an absurd concept, which leads to the concept of infinity. It's a very uncertain concept in and of itself.

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