Aliens are here to destroy Earth 
But first, we’re allowed to send a 1-page letter back in time to some historical figure, which will then create a new timeline + trajectory for our species.
For maximum positive impact, who should we contact and what should we tell them?
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Scientific method cannot really function without the requisite sociopolitical structures. Science requires participation of a large number of groups separated by space and time equipped with freedom of speech and writing. Archimedes "knowing" SM wouldn't have changed much.
That’s my feeling as well, but I have pretty low confidence / would love to hear other opinions.