Dynamic generalised quantifiers and hypothetical contexts


Abstract
We shall consider a formulation of generalised quantifiers using type theory with records (TTR). TTR follows closely the development of record types in Martin-L¨of or constructive type theory but differs in that the type theory is defined on a classical set theoretic basis. This means that the classical set-theoretic approach to generalised quantifiers can be imported into the type theoretic framework. The result is, I believe, equivalent to the proposal for dynamic generalised quantifiers in Chierchia (1995). The use of dependent types provides us with an elegant approach to the formulation of dynamic quantifiers. We use a notion of hypothetical context which we have used elsewhere to give accounts of intentional identity, answers to questions and information state updates in dialogue management. We suggest that this points towards a general theory of hypothetical context in natural language. We suspect also that our analysis using records will support analyses of common noun phrase and verb-phrase anaphora and also facilitate representations which are underspecified with respect to quantifier scope, though we leave the investigation of this to future research.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Translate to english
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 43,999
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

Semantics with Dependent Types for Indefinites.Justyna Grudzińska - 2016 - Studies in Logic, Grammar and Rhetoric 46 (1):173-192.

Add more citations

Similar books and articles

Analytics

Added to PP index
2010-12-22

Total views
25 ( #347,016 of 2,266,816 )

Recent downloads (6 months)
1 ( #845,032 of 2,266,816 )

How can I increase my downloads?

Downloads

My notes

Sign in to use this feature