Comment by didibus

Well, I don't mean they are the same, they're just different kinds of looping constructs.

Like what you call a loop isn't a loop, its actually a for-loop, or its a while-loop, or a for-each loop, or its an iterator loop, and similarly recursion is just a recursive loop.

At least that's the common taxonomy I know off. So all these are loops, and the ones that involve mutation for the condition to kick in are further grouped as imperative loops.