 The conceptual constraint can be lifted in two different ways. It can be lifted globally by simply denying that any content specifications need confine themselves to the concepts possessed by the utterer/thinker. The currently popular identification of propositions with functions from possible worlds to truth values involves a global lifting of the conceptual constraint. Possible world semantics is intended to apply to all propositional attitudes and it is obvious that few believers who are not also professional philosophers will have any grip at all on the central theoretical concepts of possible worlds semantics. All content comes out as nonconceptual content in this sense (Stalnaker  1998).[2]  In terms of the two motivations identified earlier for the conceptual constraint, this approach to specifying content appears to repudiate the first. It holds that specifications of content need not be sensitive to how the speaker or thinker apprehends the world, at least if one thinks that such sensitivity requires a degree of aspectuality that possible worlds semantics explicitly  rejects.[3]