In which of my lecture notes and where have you interpreted this in? Of course, I never wanted to claim this nonsense. Maybe I was sloppy in some formulation that you could come to this conclusion.
It's of course true that any measurement device has some imprecision, but you can in principle measure as precisely as you want, and theoretical physics deals with idealized measurements. The possible outcomes of measurements are the eigenvalues of the operator of the measured observable.