It is hard to see why the head and other brain-containing parts of a person are not themselves persons, or at least thinking, conscious beings. Some theorists have sought to reconcile us to the existence of thinking person-parts. Others have sought to avoid them but have relied on radical theories at odds with the metaphysic implicit in ordinary ways of thinking. This paper offers a novel, conservative solution, one on which the heads and other brain-containing parts of persons do exist (...) but are neither persons, thinkers, nor conscious beings. A much briefer statement of the solution is found in section 5 of Burke 2004. (shrink)