More or less.
I don't want to add more maths, unless required , but I have to express my admiration for TheFallibleFiend, for his last sentence:not for what he says (true!) but for his way of saying that. In all this math stuff I deeply felt deprived, missing the possibility of expressing better and better my knowledge: I mean, this is my job, and these are part of my teaching... anyway, even if I can express correctly the statements, I have no clue to convince anyone who is not already convinced (as, I hope, I can in Italian)
And, I don't know exactly what I miss, since after three years of Awad I really feel that I can discuss a lot of arguments easily.
So I am wondering: what does it mean, to master a language?
I suppose that, independently of the level of knowledge, to talk or write in a language that is not your mothertongue needs that a part of the brain is devoted to continuosly checking what you are saying, and is not avaluable... to think!