As someone who studied circuit design genetic algorithms at a graduate level, I can say that this explanation is profoundly wrong.
Genetic algorithms do not predate Darwin – the first research on evolutionary algorithms was done in the 1950’s.
No, we don’t use genetic algorithms because we’re not good enough at math. Genetic algorithms are used to solve complex problems that can be verified in polynomial time but may not be solvable in polynomial time.
For a minute, I was thinking, "Why did they let this crazy person host a TED talk?" Then I saw that it was TEDxAustin. Now it makes more sense.