Ever since Chomsky's Barriers, functional heads have been the privileged object of research in generative linguistics. But over the last two decades, two rival approaches have developed. The cartographic project, as represented by the collections in this Oxford series, considers evidence for afunctional head in one language as evidence for it in universal grammar. On the other hand, minimalist accounts tend to consider structural economy as literally involving as few heads as possible. In the present volume, some of the most influential linguists who have participated in this long-lasting debate offer their recent work in short, self contained case studies. The contributions cover all the main layers of recently studied syntactic structure, including such major areas of empiricalresearch such as grammaticalization and language change, standard and non-standard varieties, interface issues, and morphosyntax. Functional Heads attempts to map aspects of syntactic structure following the cartographic approach, and in doing so demonstrate that the differences between thecartographic approach and the minimalist approach are more apparent than substantial.