[khinsen]

In Leibniz, you wouldn't write only "nabla v = 0", but also what v is (by associating it with a sort), what properties v has (e.g. being positive), and how you actually obtained "nabla v = 0" from some first principles, using a sequence of transformations.

The point of Leibniz is to communicate information to other scientists, but in a notation that can be analyzed and verified by computer programs. An immediate advantage is coherence checking by the Leibniz system - you cannot use undefined quantities in an equation, for example.