Lightning Talk: Hilbert’s Hotel - the Untold Bits
summary
Hilbert’s Hotel claims a finite total area but infinite nightly revenue: a site plan partitions 1000 sq ft into halves so the geometric sum equals 1000 sq ft and a flat tax at $500/ft yields $1,000,000 where tax expects trillions; room prices set as 1/2, 1/3, 1/4 … form the harmonic series which diverges so income per night is unbounded. site plan shows rooms halving area rates follow harmonic series
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