 Zalta uses his theory to analyze Plato’s Forms, concepts, possible worlds, Fregean numbers and Fregean senses, fictions, and mathematical objects and relations generally. However, some philosophers see his comprehension principle as too inclusive, for in addition to these objects, it asserts that there are entities like the round square or the set of all sets which are not members of themselves. The theory doesn’t assert that anything exemplifies being round and being square—the theory preserves the classical form of predication without giving rise to contradictions. But it does assert that there is an abstract object that encodes being round and being square, and that there is an abstract object that encodes the property of being a set that contains all and only non-self-membered sets. Zalta would respond by suggesting that such objects are needed not only to state truth conditions, and explain the logical consequences, of sentences involving expressions like “the round square” and “the Russell set”, but also to analyze the fictional characters of inconsistent stories and inconsistent theories (e.g., Fregean extensions).