There is no working syntactician like Boeckx. He can take a very simple theoretically important idea and use his encyclopedic knowledge of grammatical phenomena from an apparently endless number of languages to empirically elaborate its consequences in fascinating detail. In this important book, he develops an analogy between chains and projections and considers its theoretical consequences in a minimalist setting. He then shows how these rich ideas can be used to rationalize the cartographic enterprise. It is a great book and will, I believe, change how we think of these issues hereon in.