You don't need brain imaging to sort out those with a natural talent and affinity for math, the challenge of an education system is to maximize the level of those without such affinities.
That's not how football is approached. I think GP's point is that football is approached by selecting for those with the most potential and maximizing that and that math teachers can't be like football coaches really.
That is just not true. Broader definitions are actually very useful when you're trying to describe general principles (like in law) — using a word that's too narrowly defined can limit the scope of what you're saying.
That's the difference between a principle and a definition, law has both - criminal offenses for example are more defined than the principle of tort, the more you want something to be useful as an accusation the more narrowly defined it needs to be or you just end up with a moral panic.
Fair enough. I was responding to your response to GP (which claimed it did so claim before the bait&switch). I have no dog in this hunt - just tracking grammar and claims. Probably makes me a Nazi.
