We should all be encouraged to be polymaths since school. But I believe the great challenge is not really to push such idea to students, but to actually make them find interest on what they're expected to learn, be it to become polymaths or leech brain experts.

I'm saying that given the education background from my country, Brazil. I was surprised, back when I was teaching programming to kids, at how seem to care so less about the actual learning process, while still having a lot of learning potential.