I did point out the nesting and the requirement to name in C.
The scoping follows immediately from beta-reduction
(lambda x.M)N --> M[N/x]
which I find very intuitive. I never had trouble understanding this, but maybe I'm overgeneralising from my own learning process. The real difficulty, or rather the real subtlety, is not nesting but name binding and the automatic renaming of bound variables where necessary. Having taught lambda-calculus to generations of students, that causes confusion with some students.
And I think implementing a type-inferencer in C is going to be confusing because beauty of e.g. the W type-inference algorithm is drowned by orthogonal issues that C forces on you like memory management. Interpreters are best written in languages with pattern matching. So I prefer to bootstrap one's learning: get the basics of lambda-calculus, then implement a lambda-calculus interpreter and type-inferencer in a modern FP language. (As an aside, that's what SICP also does.)
The real difficulty, or rather the real subtlety, is not nesting but name binding and the automatic renaming of bound variables where necessary.
If you're trying to understand what a closure does, perhaps that's true.
If you're trying to understand how it does it, and you come from an imperative programming background where you know the ABIs for your languages like the back of your hand and are used to the kind of function set-up that always allocates space for local variables on the stack, there is a huge question of how all that lovely, neat theory is actually implemented in practice.
Some of this discussion reminds me of the jokes about professors who prove that a solution to some elegantly expressed problem must exist, but then lead it to the grad students to actually find it...
The scoping follows immediately from beta-reduction
which I find very intuitive. I never had trouble understanding this, but maybe I'm overgeneralising from my own learning process. The real difficulty, or rather the real subtlety, is not nesting but name binding and the automatic renaming of bound variables where necessary. Having taught lambda-calculus to generations of students, that causes confusion with some students.And I think implementing a type-inferencer in C is going to be confusing because beauty of e.g. the W type-inference algorithm is drowned by orthogonal issues that C forces on you like memory management. Interpreters are best written in languages with pattern matching. So I prefer to bootstrap one's learning: get the basics of lambda-calculus, then implement a lambda-calculus interpreter and type-inferencer in a modern FP language. (As an aside, that's what SICP also does.)