Presupposed Ignorance and Exhaustivity
– How Scalar Implicatures and Presuppositions Interact
Benjamin Spector and Yasutada Sudo
Accepted for publication in Linguistics and Philosophy, with minor revisions.
We investigate the interactions between scalar implicatures and presuppositions in sentences containing both a scalar item and presupposition trigger. We first critically discuss Gajewski and SharvitÕs previous approach. We then closely examine two ways of integrating an exhaustivity-based theory of scalar implicatures with a trivalent approach to presuppositions. The empirical side of our discussion focuses on two novel observations: (i) the interactions between prosody and monotonicity, and (ii) what we call presupposed ignorance effects. In order to account for these observations, our final proposal relies on two mechanisms of scalar strengthening, the Presupposed Ignorance Principle and an exhaustivity operator which lets the presuppositions of negated alternatives project.