Distributivity and quantification in discourse representation theory

In this study, I designed a system of NP semantics in the frame work of DRT by adopting the following assumptions: (i) Every indefinite NP is translated into a variable. (ii) The determiner quantifier of an NP does not provide quantificational force, but is an indicator of how many atomic individuals the individual sum (i-sum) denoted by the NP has (the cardinality of the i-sum). For example, the NP every student denotes an i-sum consisting of all the individuals which are students. (iii) Quantificational forces are provided by existential closure or by the rule of distributivity. Then, sentence (1) is translated into (b) via (a). $\vert$student$\vert$ represents the number of atomic individuals of the set denoted by student.$\eqalign{(1) &\rm Every student came.\cr(\rm a) &\rm\exists X \lbrack students (X) \& \vert X\vert{=}\vert student\vert \& \sp{\rm D}came (X)\rbrack\cr(\rm b) &\rm\exists X \lbrack students (X) \& \vert X\vert{=}\vert student\vert \& \forall x \lbrack x is an atomic i{-}part of X\cr&\sk{155}\rm\to came (x)\rbrack\rbrack}$

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Linguistics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Lee, Jang-Song

Contributors dc:contributor

• Morgan, Jerry L.

• Language, Linguistics

Statement dc:rights

• Copyright 1994 Lee, Jang-Song

Language dc:language

eng

Identifier

AAI9503251
(UMI)AAI9503251

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/21438