# MoL-1998-03: Towards a Uniform Strategy of Plural Quantification? Iterative Cumulativity and the Witness Condition

MoL-1998-03: Hurvitz, Eyal (1998) Towards a Uniform Strategy of Plural Quantification? Iterative Cumulativity and the Witness Condition. [Report]

## Abstract

Master Thesis Eyal Hurvitz

This paper relates to the question whether there is a uniform method
of collective quantification. Several approaches to plural quantification are
presented as a background for Winter's (1998) unified $dfit$ lifting strategy.
The main proposal is that so-called {\em cumulative} readings, which are known
to be non-iterative, are in fact derivable, under certain circumstances, by an
iterative procedure. Cumulativity is shown to be one of the readings that are
generated by Winter's $dfit$ approach, which contains a {\em modificational}
component called the {\em witness condition}. However, in order to get these
readings, a cumulative operator has to be applied. This operator is needed to
overcome an under-generation effect of the witness condition. Further, it is
shown that otherwise iteration of the $dfit$ strategy generates
counter-intuitive readings. Some motivation is given for the cumulativity
operator as well as for the underlying constraints.

Item Type: Report MoL-1998-03 Master of Logic Thesis (MoL) Series 1998 12 Oct 2016 14:38 12 Oct 2016 14:38 https://eprints.illc.uva.nl/id/eprint/703