We argue that all comparative expressions in natural language obey a principle that we call Comparability: if x and y are at least as F as themselves, then either x is at least as F as y or y is at least as F as x. This principle has been widely rejected among philosophers, especially by ethicists, and its falsity has been claimed to have important normative implications. We argue that Comparability is needed to explain the goodness of several patterns (...) of inference that seem manifestly valid, that the purported failures of Comparability would have absurd consequences, and that the influential arguments against Comparability are less compelling than they may have initially seemed. (shrink)

We show that Kubota and Levine’s characterization of the HPSG-based theory of non-constituent coordination proposed in Yatabe Proceedings of the 7th International Conference on Head-Driven Phrase Structure Grammar, CSLI, Stanford, pp 325–344, 2001) and later works is inaccurate, and that the theory in question does not require any ad hoc mechanisms to account for the long-known fact that right-node raising and left-node raising can affect semantic interpretation. In the course of demonstrating this, we fill in some details of this HPSG-based (...) theory that were left unspecified in the previous literature, and we also present novel accounts of split-antecedent relative clauses and of respectively interpretation that are consistent with the theory. Furthermore, we argue that the phenomenon of summative agreement may provide a reason to prefer this theory over CG-based theories like Kubota and Levine’s. (shrink)

Questions with a quantificational subject have readings that seemingly involve quantification into questions (called ‘QiQ’ for short). In particular, in single-wh questions with a universal quantifier, QiQ-readings call for pair-list answers, similar to pair-list readings of multiple-wh questions. This paper unifies the derivation of QiQ-readings and distinguishes QiQ-readings from pair-list readings of multiple-wh questions. I propose that pair-list multiple-wh questions and QiQ-questions both involve a wh-dependency, namely, that the wh-/quantificational subject stands in a functional dependency with the trace of the (...) wh-object. In particular, in a pair-list multiple-wh question, the wh-subject binds into the trace of the wh-object across an identity operator; in a QiQ-question, the quantificational subject binds into the trace of the wh-object across a predication operator. These operations give rise to distinct definedness requirements, which vary with the quantificational force of the wh-/quantificational subject. The proposed analysis explains a contrast in domain exhaustivity between the pair-list readings of multiple-wh questions and questions with a universal quantifier, while also doing justice to the intuitive similarities between these two types of questions. I further propose that the observed QiQ-effect in a QiQ-question is derived by extracting one of the minimal proposition sets that satisfy the aforementioned quantificational predication condition. The values of these sets determine whether the QiQ-reading is available and whether a QiQ-question admits pair-list answers and/or has a choice flavor. (shrink)