The US got a lot of things in a lot of fields because the sort of people who were smart enough to make those advances were also smart enough to get far away from the Reich while the getting was still good.
Similarly, I believe the Renaissance was not so much a "rebirth" of culture as it was italian port cities suddenly benefiting from a sudden influx of highly educated people bugging out from Constantinople; more a translation than a reappearance.
> italian port cities suddenly benefiting from a sudden influx of highly educated people bugging out from Constantinople; more a translation than a reappearance.
in particular the big trade cities like Venezia had been pulling out anything and everything as the ottomans closed in; had been going on for a while before Constantinople fell.
but broadly speaking, yeah the collapse of the Byzantines and their stores of classical history is what drove the rediscovery and later the Renaissance