Impossible interpretations, impossible demands

While there has been much ado about the innumerable ways a speaker can alter the reach of her quantifier phrases, little fuss has been made over the fact that some forms of alteration are, as it were, impossible to pull off. These impossible interpretations cast a shadow over both syntactic and free enrichment approaches to the phenomenon of quantifier domain restriction. Indeed, I argue that these impossible interpretations help to undermine the presupposition that domain restriction is amenable to a uniform theoretical account.