Book excerpt: The problem of the one and the many is central to ancient Greek philosophy, but surprisingly little attention has been paid to Aristotle's treatment of it in the Metaphysics. This omission is all the more surprising because the Metaphysics is one of our principal sources for thinking that the problem is central and for the views of other ancient philosophers on it.The Central Books of the Metaphysics are widely recognized as the most difficult portion of a most difficult work. Halper uses the problem of the one and the many as a lens through which to examine the Central Books. What he sees is an extraordinary degree of doctrinal cogency and argumentative coherence in a work that almost everyone else supposes to be some sort of patchwork. Rather than trying to elucidate Aristotle's doctrines-most of which have little explicitly to do with the problem, Halper holds that the problem of the one and the many, in various formulations, is the key problematic from which Aristotle begins and with which he constructs his arguments. Thus, exploring the problem of the one and the many turns out to be a way to reconstruct Aristotle's arguments in the Metaphysics. Armed with the arguments, Halper is able to see Aristotle's characteristic doctrines as conclusions. These latter are, for the most part, supported by showing that they resolve otherwise insoluble problems. Moreover, having Aristotle's arguments enables Halper to delimit those doctrines and to resolve the apparent contradiction in Aristotle's account of primary ousia, the classic problem of the Central Books. Although there is no way to make the Metaphysics easy, this very thorough treatment of the text succeeds in making it surprisingly intelligible.