  The divisions in the Sophist and Statesman are  divisions of arts (angling, sophistry, weaving, statecraft), and only secondarily of experts who possess those arts. The art makes  the expert the sort of expert he is. The initial attempts to define  the sophist and statesman, using the method of dichotomous division,  each reveal a puzzle about the target kind, and that puzzle is then resolved in some other way, or at least in conjunction with some other method.  The sophist is puzzling because his art turns up, not at a  single terminus like angling, but at many different termini.  Reflection on this peculiarity enables the inquirers to recognize  something they had previously missed—the essence of the  sophist—which ties together the various previous appearances.