Recent work in supersemantics and in the semantic interpretation of prosody has showed that non-words (gestural, prosodic an iconic elements) can make truth conditional contributions. This paper contends that the way that they make their contributions—the way that they are integrated into semantic representations—calls into question foundational assumptions about how semantics works. I explore the case of a prosodic contour that can act as an intensifier (a word like ‘very’ or ‘really’) and argue that its compositional behaviour indicates that (...) it is integrated into sentence meaning in a secondary, dependent way and that this reveals a novel form of layering in semantic interpretation. (shrink)

Our aim here is to lay the groundwork for formal tree-ring analysis combining data from dendrochronology with formal techniques from semantics. We will present the basic syntax of, and basic compositional semantics of tree-ring structures.