Pragmatic Apparatus – The Shape of Modified Numerals

Cited by Lee Sonogan

Mathematics Shapes Geometry Blue Numbers Wallpaper - Resolution:1920x1080 -  ID:637261 - wallha.com

Abstract by Carcassi, Fausto; Szymanik, Jakub

The pattern of implicatures of modified numeral `more than n’ depends on the roundness of n. Cummins, Sauerland, and Solt (2012) present experimental evidence for the relation between roundness and implicature patterns, and propose a pragmatic account of the phenomenon. More recently, Hesse and Benz (2020) present more extensive evidence showing that implicatures also depend on the magnitude of n and propose a novel explanation based on the Approximate Number System (Dehaene 1999). Despite the wealth of experimental data, no formal account has yet been proposed to characterize the full posterior distribution over numbers of a listener after hearing `more than n’. We develop one such account within the Rational Speech Act framework, quantitatively reconstructing the pragmatic reasoning of a rational listener. We show that our pragmatic account correctly predicts various features of the experimental data.

Publication: Cognitive Science Society (Peer-Reviewed Journal)

Pub Date: 2021 Doi: https://escholarship.org/uc/item/4wk1z3ws

Keywords: ‘More than n’, roundness, rational speech

https://escholarship.org/uc/item/4wk1z3ws (Plenty more secitons and references in this research article)

https://www.patreon.com/GROOVYGORDS

https://ungroovygords.com/

https://entertainmentcultureonline.com/

Leave a Reply

This site uses Akismet to reduce spam. Learn how your comment data is processed.