Erich Rast

In this small book logician and mathematician Jens Erik Fenstad addresses some of the most important foundational questions of linguistics: What should a theory of meaning look like and how might we provide the missing link between meaning theory and our knowledge of how the brain works? The author’s answer is twofold. On the one hand, he suggests that logical semantics in the Montague tradition and other broadly conceived symbolic approaches do not suffice. On the other hand, he does not argue that the logical approach should be discarded; instead, he opts for a methodological pluralism in which symbolic approaches to meaning are combined with geo- metric ones such as Conceptual Spaces [9] and discusses ways in which these geometric accounts could be hooked up with connectionist frameworks and dynamic systems approaches in neurophysiology

Reference and indexicality are two central topics in the Philosophy of Language that are closely tied together. In the first part of this book, a description theory of reference is developed and contrasted with the prevailing direct reference view with the goal of laying out their advantages and disadvantages. The author defends his version of indirect reference against well-known objections raised by Kripke in Naming and Necessity and his successors, and also addresses linguistic aspects like compositionality. In the second part, a detailed survey on indexical expressions is given based on a variety of typological data. Topics addressed are, among others: Kaplan's logic of demonstratives, conversational versus utterance context, context-shifting indexicals, the deictic center, token-reflexivity, vagueness of spatial and temporal indexicals, reference rules, and the epistemic and cognitive role of indexicals. From a descriptivist perspective on reference, various examples of simple and complex indexicals are analyzed in first-order predicate logic with reified contexts. A critical discussion of essential indexicality, de se readings of attitudes and accompanying puzzles rounds up the investigation.

Abstract Quantifier domain restriction (QDR) and two versions of nominal restriction (NR) are implemented as restrictions that depend on a previously introduced interpreter and interpretation time in a two-dimensional semantic framework on the basis of simple type theory and categorial grammar. Against Stanley (2002) it is argued that a suitable version of QDR can deal with superlatives like tallest. However, it is shown that NR is needed to account for utterances when the speaker intends to convey different restrictions for multiple uses of the same quantifying determiner. We argue that NR generally fares better with such examples but also observe that examples like Every sailor waves at every sailor might be pragmatically anomalous. An account of contextual domain restriction is proposed that (i) excludes these anomalous readings (but it is shown how they could be included), (ii) makes it possible to express different contextual domain restrictions as long-range dependencies on an interpreter and an interpretation time, and (iii) additionally models restrictions based on locative constructions as general mereological constraints introduced by shifting the index.