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1 Lambert: My great uncle Hillbert had one problem with his infinite hotel.
1 Alvissa: Oh?
2 Lambert: To print the room numbers on the keys, he had to make the keys larger as the rooms got smaller.
3 Lambert: So he had to give his guests growth potion so they could carry the key, then shrinking potion so they could fit into the rooms.
4 Lambert: It ended up being quite the aleph-N wonderland.
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We've discussed aleph numbers before, so there's not really much to explain here. Thankfully.
I will note that you could convincingly argue that it's an ℵ0 wonderland, but that's just the special case of an ℵN wonderland where N = 0.
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