There Are No Part To Whole Actual Infinities

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MPat said:
Let’s make a temporary assumption that we had a hotel that has an infinite number of rooms that is full. Then, if a new guest arrives, it is possible to make place for him after every guest is moved from room i to room i+1. But that’s absurd. Therefore, we cannot have a “real”, “actual”, “physical” hotel with an infinite number of rooms.
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You cannot fill a hotel with infinite room. How about this?
 
STT said:
You cannot fill a hotel with infinite room. How about this?
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That is right. The Grand Hotel is created as a thought experiment, for those who think infinity can be diminished by taking part of it away, or enhanced by adding to it.
 
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