Precision encapsulates the whole experience, tying all the principles into one. You cannot flow in your workout if you are not applying the concentration of mind to body.
You cannot control each movement without centering, or working from your core.
You cannot work from your center without proper breathing, and you cannot do any of the above without precision.
The commitment to precision is a state of mind that demands exacting attention to every detail. You cannot chat your way through a workout. If that is what you want, join the local health club.
The Pilates method is a precise, exacting discipline, and the mastery of precision will carry over into daily life.