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Comment on Infinite Hotel Paradox

jol@discuss.tchncs.de ⁨1⁩ ⁨month⁩ ago

But there’s also infinite demand for rooms, otherwise the hotel would have long gone bankrupt.

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SippyCup@feddit.nl ⁨1⁩ ⁨month⁩ ago
Nah, tax scheme keeps it open

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Mac@mander.xyz ⁨1⁩ ⁨month⁩ ago
Good one. lol But being infinite, would this actually matter…?
Somebody ask Matt Parker real quick.

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- jol@discuss.tchncs.de ⁨1⁩ ⁨month⁩ ago
  It would matter in the sense that the time you’d have to wait for a vacant room is between 0 and infinity.
  
  Actually, the time you’d have to wait would be proportional to (rooms / demand), and since both are infinite, that’s undefined. You’d be waiting for undefined time, which IMO is worse than waiting infinite time!
  
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