This chapter examines what truth conditions for predicative assertions Aristotle is committed to.

Section 1 addresses a preliminary issue: Aristotle's conception of universals. Universals are neither concepts nor linguistic expressions: rather, universals are objects whose nature is neither mental nor linguistic. A universal is an object which is predicated of many things, an individual is an object which is not predicated of many things.

Sections 2–4 concentrate on the truth conditions for singular and quantified predicative assertions (evidence is mainly provided by passages from de Interpretatione). Section 2 addresses the discussion of truth and falsehood in de Interpretatione 1, where Aristotle alludes to the theory of Metaphysics Ε 4: in an affirmative (negative) predicative belief one object is joined with (separated from) one object. The bulk of section 2 is taken up by a discussion of two objections that could be raised against connecting de Interpretatione 1 with Metaphysics Ε 4. Section 3 addresses Aristotle's theory of assertions. Not every sentence is true or false (prayers are neither), and every sentence that is true or false is an assertion (the converse fails). Every affirmative predicative assertion asserts something ‘about’ something, every negative predicative assertion asserts something ‘away from’ something. The operation of asserting-about (asserting-away-from) performed by an affirmative (negative) predicative assertion is the linguistic counterpart of the operation of joining (separating) performed in an affirmative (negative) predicative belief. In both cases the operations are performed on objects (not on linguistic expressions or on thoughts).