Should Mozart have been kept away from musical instruments because his peers weren't at his level? In other words, should people existing define how we educate prodigies? Who gets to determine who is a prodigy and who isn't, and at what age?

> Should Mozart have been kept away from musical instruments because his peers weren't at his level?

In his consumption of publicly-funded universal education? Or...something completely irrelevant?

No one is disallowing kids from having access to advanced math.

No one in any of my classes was a prodigy. We had good teachers that cared about the students (and parents that were involved in their children's education). But I do think we should have had more musical training than just choir singing.