- cross-posted to:
- memes@sopuli.xyz
- cross-posted to:
- memes@sopuli.xyz
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The heck is the grand Gilbert hotel?
Rephrased, for any countably infinite set, there exists a bijective function which maps the countably infinite set to the set of natural numbers, even if the countably infinite set contains the natural numbers.
Ah, but of course.
Just put the boulder in the first room and tell the guest to deal with it. What are they gonna do? Sisyphus has a massive boulder and plenty of muscle mass to deal with an unfriendly hotel roommate.
And all the guests can just tell the guest in the next room do the same, so even when it’s full, there’s still space for it.
