A Conversation for Infinity, and the Infinite Hotel Paradox
Infinite buses
Zak T Duck Started conversation Oct 4, 2000
In response to the What happens with an infinite number of buses, the hotel has an infinite number of floors, so each customer has to move to n^(n+1).
What is intersting though is what if the infinite hotel next door closes down and all its n^(n+1) customers have to move in to this one?
Or as I said in the forum next door, what if a customer leaves?
Infinite buses
Jaz Posted Dec 9, 2000
If the infinite hotel next door closes down, the problem (or rather non-problem) is the same as if you have a bus with an infinite number of people. As long as all infinites are countable, and there's no more than a countable number of countable infinities, everything is fine.
The funny stuff happens when you start dealing with the set of subsets of one of these infinities...
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Infinite buses
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