As far as I see, the closest thing to what you propose is mathematical notation (and other sorts of formal scientific notation). Sure, if you can figure out a more useful and convenient notation for some concrete problem, more power to you. However, at least judging by the historical experience, to do that you need some novel insight that motivates the introduction of new notation. Doing things the opposite way, i.e. trying to purify and improve your language in some general way hoping that this will open or at least facilitate new insight, is unlikely to lead you anywhere.