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Thought experiment rule
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this post was submitted on 29 Oct 2024
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Sadly, the Hilbert Hotel is slated for demolition which is why it's on Sisyphus' path. After that whole "everyone moves to double their room number" debacle, Hilbert had to process a fraction of the infinite guests' refunds because they didn't feel like changing rooms to one several million hallways down. And a percentage of infinite guests refunds is still infinite, so Hilbert is in infinite debt now.
Theseus, meanwhile, has been trying to justify buying a new ship for ages but his crew is adamant about right to repair, so he's looking for an easy exit.
Infinite guest = infinite money, infinite refunds would be fine, and infinite money would still be left over.