Are the base units independent?

Are the basic units independent? At first sight, they are and this question don’t even require discussion. But the authors of regulatory documents and reference books do not mention the independence of the basic units from each other or from other derived units. The author of this article examines in details the definition of the basic SI units and shows that almost all units are defined in terms of other quantities.
Author(s):  Bryanskiy L.
Issue:  KIPiS 2011 #1