  Note that Shaw’s analysis predicts that the quantifier in (18) would be restricted to only the numbers on the page, and thus that the utterance should be felicitous and true. Second, even assuming that Shaw is right that we do systematically restrict domains of quantification so to avoid categorically mistaken predications, it is not clear that the claim that category mistakes are truth-valueless is essential for this mechanism of domain restriction. Consider any theory that systematically tracks the status of category mistakes as infelicitous (e.g., a presuppositional view, as discussed in §3.4). On the face of it, one could equally well explain Shaw’s data using the alternative hypothesis that the categorically mistaken status of sentences projects into quantified statements in precisely the way that Shaw predicts, and that speakers have a strategy of maximizing the felicity (rather than truth-evaluability) of their utterances.