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- Daniel Rothschild & Gabriel Segal (2009). Indexical Predicates. Mind and Language 24 (4):467--493.
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Truth-conditional semantics is the project of determining a way of assigning truth-conditions to sentences based on A) the extension of their constituents and B) their syntactic mode of composition. Truth-conditional semantics is the major research project of linguistic semantics and the project and its prospects are a central concern in contemporary philosophy of language.
Indexicality is a feature of predicates and predicate components (verbs, adjectives, adverbs and the like) as well as of referring expressions. With classic referring indexicals such as 'I' or 'that' a distinctive rule takes us from token and context to some item present in the content which is the semantic correlate of the token. Predicates and predicate components may function in an analogous fashion. For example 'thus' is an indexical adverb which latches onto some manner of performance present in its context. 'John sang thus', said while indicating someone singing discordantly, claims that John sang discordantly. The phenomenon of predicatival indexicality is widespread in English and is expressed in a variety of idioms. Indexical predication plays important epistemological and psychological roles and the notion may have other interesting philosophical applications.
Attempts to give a Logic or Semantics for vague predicates and to defuse the Sorites paradoxes have been largely a failure. We point out yet another problem with these predicates which has not been remarked on before,namely that different people do and must use these predicates in individually different ways. Thus even if there were a semantics for vague predicates, people would not be able to share it. To explain the occurrence nonetheless of these troublesome predicates in language, we propose a different approach based on asking the question, “How do these vague predicates help people to communicate with each other?” We show that in general, even though different people assign different extensions to vague predicates, they usually benefit from receiving information framed in terms of them.
Consider truth predicates. Minimalist analyses of truth predicates may involve commitment to some of the following claims: (i) truth “predicates” are not genuine predicates -- either because the truth “predicate” disappears under paraphrase or translation into deep structure, or because the truth “predicate” is shown to have a non-predicative function by performative or expressivist analysis, or because truth “predicates” must be traded in for predicates of the form “true-in-L”; (ii) truth predicates express ineligible, non-natural, gerrymandered properties; (iii) truth predicates express metaphysically lightweight properties; (iv) truth predicates have thin conceptual roles; (v) truth predicates express properties with no hidden essence; (vi) truth predicates express properties which have no causal or explanatory role in canonical formulations of fundamental theories.
This essay aims at neutralizing the contextualist challenge against traditional semantics. According to contextualism, utterances of non-elliptical, non-ambiguous, and non-indexical sentences may be associated with contrasting truth-conditions. In this essay, I grant the contextualist analysis of the sentences in question, and the contextualist assessment of the truth-conditions for the corresponding utterances. I then argue that the resulting situation is by no means incompatible with the traditional approach to semantics, and that the evidence put forth by the contextualists may easily be taken into account by the customary treatment of natural languages.
The received view about meteorological predicates like ‘rain’ is that they carry an argument slot for a location which can be filled explicitly or implicitly. The view assumes that ‘rain’, in the absence of an explicit location, demands that the context provide a specific location. In an earlier article in this journal, I provided a counter-example, viz. a context in which ‘it is raining’ receives a location-indefinite interpretation. On the basis of that example, I argued that when there is tacit references to a location, it takes place for pragmatic reasons and casts no light on the semantics of meteorological predicates. Since then, several authors have reanalysed the counter-example, so as to make it compatible with the standard view. I discuss those attempts and argue that my account is superior.
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