Berit Brogaard

In traditional formal semantics the notions of reference, truth and satisfaction are basic and that of representation is derivative and dispensable. If a level of representation is included in the formal presentation of the theory, it is included as a heuristic. Semantics in the traditional sense has no bearing on any form of mental processing. When reference is understood within this framework, cognitive neuroscience cannot possibly provide any insights into the nature of reference. Traditional semantics, however, has numerous shortcomings that render it inadequate as an account of natural language. Dynamic semantic theories, such as discourse representation theory (DRT), treat ever­growing, revisable mental representations as the basic semantic entities. Within this framework, there are two central notions of reference. New information may refer back to previously introduced discourse referents and discourse referents may refer to worldly entities. Because DRT treats mental representations as indispensable elements of the theory, evidence from neuroscience, particularly the recording of electroencephalograms (EEG) and its derivative event-­related potentials (ERPs), can reasonably be thought to shed light on meaning and reference within this framework. In this chapter I first review the advantages of DRT in accommodating linguistic data and then review data from neuroscience that seem to support it. Finally, I consider some methodological concerns that have been raised about the neuroscientific approach to semantics.

The phenomenon of synesthesia has undergone an invigoration of research interest and empirical progress over the past decade. Studies investigating the cognitive mechanisms underlying synesthesia have yielded insight into neural processes behind such cognitive operations as attention, memory, spatial phenomenology and inter-modal processes. However, the structural and functional mechanisms underlying synesthesia still remain contentious and hypothetical. The first section of the present paper reviews recent research on grapheme-color synesthesia, one of the most common forms of synesthesia, and addresses the ongoing debate concerning the role of selective attention in eliciting synesthetic experience. Drawing on conclusions of the first half, the paper’s second half examines the various models proposed to explain the cognitive mechanisms behind grapheme-color synesthesia, and discusses the explanatory virtues of a new model suggesting that grapheme-color synesthesia is grounded in memory. The last section offers an examination of some of the broader philosophical implications of synesthesia.

0. Relativistic Content In standard semantics, propositional content, whether it be the content of utterances or mental states, has a truth-value relative only to a possible world. For example, the content of my utterance of ‘Jim is sitting now’ is true just in case Jim is sitting at the time of utterance in the actual world, and the content of my belief that Alice will give a talk tomorrow is true just in case Alice will give a talk on the day following the occurrence of my belief state in the actual world. Let us call propositional content which has a truth-value relative only to a possible world ‘non-relativistic content’. Non-relativistic content can be treated as either structured or unstructured. On the unstructured-content view, non-relativistic content is a set of possible worlds and bears the truth-value true just in case the actual world is a member of that set. For example, the content of my utterance of ‘Jim is working now’ at time t is the set of worlds in which Jim is working at t, and this content is true just in case the actual world is among those worlds. On the structured-content view, non-relativistic content is a set or conglomeration of properties and/or objects, where properties are features which objects possess regardless of who considers or observes them and regardless of when they are being considered or observed. Such properties are said to be (or represent) functions from possible worlds to extensions. Relative to a possible world they determine a set of objects instantiating the property. For example, relative to the actual world the property of being human determines the set of actual humans. Not all content is non-relativistic. Let us say that propositional content is relativistic just in case it possesses a truth-value only relative to a centered world. A centered world is a possible world in which an individual and a time are marked, where the marked individual..