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Distributivity and quantification in discourse representation theory text Morgan, Jerry L. Lee, Jang-Song 2011-05-07T13:08:39Z 2011-05-07T13:08:39Z 10000-01-01 1994 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.$$\eqalign{(1)\ &\rm Every\ student\ came.\cr(\rm a)\ &\rm\exists X\ \lbrack students\ (X)\ \&\ \vert X\vert{=}\vert student\vert\ \&\ \sp{\rm D}came\ (X)\rbrack\cr(\rm b)\ &\rm\exists X\ \lbrack students\ (X)\ \&\ \vert X\vert{=}\vert student\vert\ \&\ \forall x\ \lbrack x\ is\ an\ atomic\ i{-}part\ of\ X\cr&\sk{155}\rm\to\ came\ (x)\rbrack\rbrack}$$ To give evidence to my approach, I have dealt with the data concerning with anaphoric resolution, the mode of predication, the proportion problems (or asymmetric quantification), and the proper distribution which requires a non-atomic individual as an argument of a distributive predicate. Made available in DSpace on 2011-05-07T13:08:39Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9503251.pdf: 8229152 bytes, checksum: ed096b113a7ed64eaf79126aa196b9d2 (MD5) Previous issue date: 1994 Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:50:47Z Item is restricted indefinitely. Restriction data tranferred 2014-07-01T11:23:14-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission ETDs are only available to UIUC Users without author permission U of I Only AAI9503251 (UMI)AAI9503251 http://hdl.handle.net/2142/21438 eng Copyright 1994 Lee, Jang-Song Language, Linguistics Linguistics Linguistics University of Illinois at Urbana-Champaign Dissertation Ph.D.