Question

Is there any difference between (list f 1 2) and (f 1 2)?

If yes, then is (f 1 2) equivalent to ((f 1) 2) (currying)?

If yes, then is (a b) mean “add b to the end of list a“?

If yes, then what append function is for?

Answer 1

Is there any difference between (list f 1 2) and (f 1 2)?

Yes: (list f 1 2) calls the function list with the arguments f, 1 and 2, which creates a list containing those elements. (f 1 2) calls the function f with the arguments 1 and 2, which does whatever f was defined to do.

is (f 1 2) equivalent to ((f 1) 2) (currying)?

No. Functions in Lisp aren’t curried automatically. If you call a function as (f 1 2) it must be a real binary function, not a curried function.

is (a b) mean “add b to the end of list a”?

No, it means “call the function a with the argument b“.