lsparrish comments on Existing Absurd Technologies - Less Wrong
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The whole idea of public key cryptography. Take a message, put it through a certain algorithm, but the algorithm doesn't work in reverse.
Rockets in space. A flying vehicle that seems to move forwards by pushing on nothing.
The absolute speed limit of special relativity. Not quite technology, but the experiments could be described.
To bring Special Relativity into the realm of existing technology, one might emphasize the GPS system's reliance on it.
GPS itself is some pretty cool technology.