Linguistics and Philosophy 39 (3):151-199 (2016)

Authors
Benjamin Spector
Centre National de la Recherche Scientifique
Abstract
In this article, we describe and attempt to solve a puzzle arising from the interpretation of modified numerals like less than five and between two and five. The puzzle is this: such modified numerals seem to mean different things depending on whether they combine with distributive or non-distributive predicates. When they combine with distributive predicates, they intuitively impose a kind of upper bound, whereas when they combine with non-distributive predicates, they do not. We propose and explore in detail four solutions to this puzzle, each involving some notion of maximality, but differing in the type of maximality involved and in the source of maximality. While the full range of data we consider do not conclusively favor one theory over the other three, we do argue that overall the evidence goes against the view that modified numerals lexically encode a ‘standard’ maximality operator, and suggests the need for a pragmatic blocking mechanism that filters out readings of sentences that are generated by the grammar but intuitively unavailable.
Keywords Semantics  Pragmatics  Quantification  Plurality  Modified numerals  Monotonicity  Distributivity  Collectivity  Cumulativity  Mereology
Categories (categorize this paper)
ISBN(s)
DOI 10.1007/s10988-016-9187-2
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 51,756
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

Perspectival Plurality, Relativism, and Multiple Indexing.Dan Zeman - 2018 - In Rob Truswell, Chris Cummins, Caroline Heycock, Brian Rabern & Hannah Rohde (eds.), Proceedings of Sinn und Bedeutung 21, Vol. 2. Semantics Archives. pp. 1353-1370.

Add more citations

Similar books and articles

Modified Numerals as Post-Suppositions.A. Brasoveanu - 2013 - Journal of Semantics 30 (2):155-209.
Maximality Principles in Set Theory.Luca Incurvati - 2017 - Philosophia Mathematica 25 (2):159-193.
Saying It With Numerals.David Auerbach - 1994 - Notre Dame Journal of Formal Logic 35 (1):130-146.
Against the Maximality Principle.C. S. Sutton - 2014 - Metaphysica 15 (2):381-390.
A Simple Maximality Principle.Joel David Hamkins - 2003 - Journal of Symbolic Logic 68 (2):527-550.
Maximality and Consciousness.Trenton Merricks - 2003 - Philosophy and Phenomenological Research 66 (1):150-158.
Maximality and Intrinsic Properties.Theodore Sider - 2001 - Philosophy and Phenomenological Research 63 (2):357 - 364.
Deflationism, Conservativeness and Maximality.Cezary Cieśliński - 2007 - Journal of Philosophical Logic 36 (6):695 - 705.
Measure Phrase Equatives and Modified Numerals.Jessica Rett - 2015 - Journal of Semantics 32 (3):425-475.
The Composition of Complex Cardinals.T. Ionin & O. Matushansky - 2006 - Journal of Semantics 23 (4):315-360.

Analytics

Added to PP index
2016-06-22

Total views
20 ( #487,104 of 2,333,918 )

Recent downloads (6 months)
2 ( #395,283 of 2,333,918 )

How can I increase my downloads?

Downloads

My notes