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Brilliand comments on Archimedes's Chronophone - Less Wrong
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Comments (82)
In that case, Archimedes and his successors spend a few hundred years working on the problem, and then recalibrate the chronophone to communicate over a correspondingly shorter interval, just so they can seem smarter by giving the answer immediately.
I'd think the few hundred years of changing context there would cause the solution to come back to us as the solution to a different, much less difficult, problem.