Schlenker, Philippe. 2009. "Presupposition Projection: The New Debate". Final version to appear in the Proceedings of SALT 2008.

[Full paper in pdf]  

Abstract:  We compare four recent theories which seek to predict how any operator projects presuppositions once its syntax and bivalent semantics have been specified. These theories differ along four dimensions: 1. their reliance on local contexts; 2. their use of trivalence;  3. their semantic or pragmatic nature; 4. the strength of the left-right bias they posit for presupposition projection. They also differ empirically: although they typically agree in the propositional case, they make conflicting predictions with respect to quantified examples. The debate is constrained by some new experimental results.