TED-Ed made a very good video describing the Infinite Hotel Paradox, a thought experiment to describe how injective (one-to-one) functions can be used to examine countably infinite sets.
Hilbert’s Infinite Hotel Paradox
Posted in Theorems
Posted by John Quintanilla on August 25, 2017
https://meangreenmath.com/2017/08/25/hilberts-infinite-hotel-paradox/
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