Many philosophers have argued or taken for granted that Frege's puzzle has little or nothing to do with identity statements. I show that this is wrong, arguing that the puzzle can only be motivated relative to a thinker's beliefs about the identity or distinctness of the relevant object. The result is important, as it suggests that the puzzle can be solved, not by a semantic theory of names or referring expressions as such, but simply by a theory of identity statements. (...) To show this, I sketch a framework for developing solutions of this sort. I also consider how this result could be implemented by two influential solutions to Frege's puzzle, Perry's referential-reflexivism and Fine's semantic relationism. (shrink)

There is an interesting logical/semantic issue with some mathematical languages and theories. In the language of (pure) complex analysis, the two square roots of i’ manage to pick out a unique object? This is perhaps the most prominent example of the phenomenon, but there are some others. The issue is related to matters concerning the use of definite descriptions and singular pronouns, such as donkey anaphora and the problem of indistinguishable participants. Taking a cue from some work in linguistics and (...) the philosophy of language, I suggest that i functions like a parameter in natural deduction systems. This may require some rethinking of the role of singular terms, at least in mathematical languages. (shrink)

Using a version of situation semantics, this article argues that bare and complex demonstratives are interpreted as individual concepts.

We review Potts' influential book on the semantics of conventional implicature , offering an explication of his technical apparatus and drawing out the proposal's implications, focusing on the class of CIs he calls supplements. While we applaud many facets of this work, we argue that careful considerations of the pragmatics of CIs will be required in order to yield an empirically and explanatorily adequate account.

It is widely accepted that, in the course of interpreting a metaphorical utterance, both literal and metaphorical interpretations of the utterance are available to the interpreter, although there may be disagreement about the order in which these interpretations are accessed. I call this the dual availability assumption. I argue that it does not apply in cases of metaphorical singular reference. These are cases in which proper names, complex demonstratives or definite descriptions are used metaphorically; e.g., ‘That festering sore must go’, (...) referring to a derelict house. We are forced to give up dual availability in these cases because a process of predicate transfer happens in the restriction clauses of such metaphorically used definite phrases, so that a denotation-less definite concept is never constructed. A process of enriched composition yields only a metaphorical referent/denotation. I compare cases of metaphorical reference both to cases of metonymic reference and to uses of epithets of the ‘That N of an N’ form. Reflection on the former is helpful in getting clear about the kind of property transfer involved in referential metaphors. Such transfer happens directly at the level of properties and is not mediated via a correspondence between objects, as is the case with metonymic reference. Reflection on epithets such as ‘that festering sore of a house’ is helpful since these are a sort of intermediate case between cases of literal and metaphorical reference. They provide support for my claim that in cases of metaphorical reference there is only a single referent. Moreover, constraints on the use of these epithets suggest that referential metaphors are similarly constrained. In particular, I argue that referential metaphors can only be used when the implicit category restriction is highly salient, and that the evaluative information conveyed by the metaphor serves primarily to indicate the speaker’s attitude towards the referent rather than being intended to help the hearer identify the referent. (shrink)

We develop an analysis of discourse anaphora—the relationship between a pronoun and an antecedent earlier in the discourse —using games of partial information. The analysis is extended to include information from a variety of different sources, including lexical semantics, contrastive stress, grammatical relations, and decision theoretic aspects of the context.

Both definite descriptions and pronouns are often anaphoric; that is, part of their interpretation in context depends on prior linguistic material in the discourse. For example: A student walked in. The student sat down. A student walked in. She sat down. One popular view of anaphoric pronouns, the d-type view, is that pronouns like ‘she’ go proxy for definite descriptions like ‘the student who walked in’, which are in turn treated in a classical Russellian or Fregean fashion. I argue for (...) a novel version of the d-type view in which anaphoric definites are restricted existential quantifiers that presuppose discourse uniqueness, which is uniqueness of discourse referent in the context, rather than uniqueness of object in the world. In other words, the anaphoric definites ‘the student’ and ‘she’ in and presuppose that there is a single object under discussion that is a student who walked in. I further argue that, by contrast, non-anaphoric definites are restricted existential quantifiers that presuppose worldly uniqueness, that is, that there is a unique object in the world that satisfies the descriptive information. The semantics for anaphoric and non-anaphoric definites accounts for the differences in truth conditions in discourses involving the two different types of definites, improving on existing accounts. It is further supported by crosslinguistic data. The semantics is formally implemented in a static system employing quantifier domain restriction in the style of Stanley and Szabo :219–261, 2000) and extended to account for bridging definites and donkey sentences. (shrink)

We bring out syntactic and semantic similarities of two types of conditionals with fronted antecedents [normal indicative conditionals and biscuit conditionals ] and two types of left dislocation constructions in German, which mark two types of topicality. On the basis of these similarities we argue that NCs and BCs are aboutness topics and relevance topics, respectively. Our analysis extends the approach to aboutness topicality of Endriss to relevance topics to derive the semantic and pragmatic contribution of left-dislocated DPs and applies (...) it to an analysis of conditionals as pluralities of possible worlds. We show how this uniform approach to the interpretation of topicality accounts for the nominal left dislocation constructions as well as for the semantic and pragmatic effects observed in connection with the two types of conditionals. We furthermore discuss the potential of our proposal to deal with subjunctive biscuit conditionals, if-clauses modifying speech acts different from assertions, conditionals with right-dislocated if-clauses, and nested conditionals. (shrink)