The MIT Linguistics Department is pleased to announce the penultimate linguistics colloquium of the spring semester, which will take place on April 24th, 2009:
Speaker: Daniel Buering, University of California, Los Angeles
Title: At Least and At Most: The Logic of Bounds and Insecurity
Time: Friday April 24th, 3:30pm
Location: 32-141
This talk addresses the meaning of the complex determiners at least and at most and their kin in related languages. I explore the idea that the basic meaning of these is ‘exactly n or more/less than n’, and that this meaning triggers an implicature familiar from disjunction: That the speaker is not sure that exactly n, nor that more/less than n. This, I submit, covers the basic meaning of simple sentences with these, which I call speaker insecurity. Adopting a proposal in Klinedinst (2007), I then argue that at least/most trigger embedded implicatures when embedded under modal verbs, resulting in a second reading I call authoritative (making such sentences ambiguous). I then speculate about a third construal in which the determiners are split up, yielding another, stronger authoritative reading. A compositional semantics for the numerical use of these is provided, and the proposal is compared to that in Geurts and Nouwen (2007), which derives the same set of meanings by more semantic means. (This talk is based on my 2007 WCCFL paper (Buering, 2008), but more comprehensive in that it addresses the full range of meanings you get with at most, including the third construal.)
References
Buering, Daniel. 2008. The Least at least Can Do. Proceedings of the 26th West Coast Conference on Formal Linguistics, edited by Charles B. Chang and Hannah J. Haynie, 114–120. Somerville, MA: Cascadilla Proceedings Project.
Geurts, Bart, and Rick Nouwen. 2007. At Least et al : The Semantics of Scalar Modifiers. Language 83:533–559.
Klinedinst, Nathan. 2007. Plurality and Possibility. Ph.D. thesis, UCLA.