  The middle period dialogues contain few arguments whose conclusion is that such and such a Form therefore exists. Even when ‘argument’ is given a very broad reading, the dialogues tend to address themselves to a limited number of Forms. These include the moral properties familiar from Socrates' ethical inquiries and properties such as Beauty, Equality, Hot and Cold, or Largeness. While these are not the only properties mentioned in the course of discussion, the Argument from Recollection, the arguments about the objects of knowledge and the ‘summoners’ from Books V (477ff) and VII (523ff), respectively, of the Republic, as well as the final ascent to Beauty in the Symposium and the Final Argument of the Phaedo all point to a particular kind of property, what scholars have labeled ‘incomplete  properties’ (see Fine 1993; Irwin 1977).  There is no precise way to specify what counts as an incomplete property. Roughly, the idea is that an incomplete property is one which, when serving as a predicate, yields a statement that cannot be understood on its own, because they must be added on to, or completed in some sense, typically with a prepositional phrase. For instance, the predicate ‘large’, functioning in a statement such as ‘Shaquille O'Neal is large’ must be completed with ‘for a human’; for while Shaq is large for a human he is not large compared with a tree. For some readers, then, while the Plato of the middle period may believe in a wide range of properties, he is theoretically committed only to a limited number or range of Forms, namely Forms of incomplete properties.