 \(\mathbf{0} =_{\textrm{df}} \textrm{deg}_m(\emptyset) = \{\emptyset\}\) and \(\mathbf{n} =_{\textrm{df}} \textrm{deg}_m(\mathbb{N}) = \{\mathbb{N}\}\) are distinct \(m\)-degrees both of which are (trivially) computable.