Left Adjoint of forgetful functor

Isn't it supposed to be the free functor?

docs/src/main/tut/freemonad.md

@@ -424,7 +424,7 @@ The above forgetful functor takes a `Monad` and:
  - finally keeps the *functor* part (e.g. the `map` function)
 
 By reversing all arrows to build the left-adjoint, we deduce that the
-forgetful functor is basically a construction that:
+free functor is basically a construction that:
 
  - takes a *functor*
  - adds the *applicative* part (e.g. `pure`)