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Massachusetts Institute of Technology

Elements of number theory

Abstract

dc:description.abstract

The dissertation argues for the necessity of a morphosemantic theory of number, that is, a theory of number serviceable both to semantics and morphology. The basis for this position, and the empirical core of the dissertation, is the relationship between semantically based noun classification and agreement in Kiowa, an indigenous, endangered language of Oklahoma. The central claim is that Universal Grammar provides three number features, concerned with unithood, existence of homogeneous subsets, and properties of those subsets. The features are used to analyze a wide variety of data. Semantic topics include the difference between granular and non-granular mass nouns, collective, non-collective and distributive plurals, and cardinality. Syntactic topics include the structure of DP, noun marking, agreement and suppletion. Morphological topics include the inventory of morphological operations, the featural basis of complex syncretisms, the difference between agreement and suppletion, whether features are privative or binary, and the nature of the Kiowa/Tanoan inverse. Keywords: Kiowa-Tanoan, number, morphology, semantics, agreement, suppletion, inverse, noun class, singular, dual, plural, features, binary, privative.

Degree

thesis:*
Department dc:contributor.department
Massachusetts Institute of Technology. Department of Linguistics and Philosophy
Grantor dc:publisher
Massachusetts Institute of Technology
Year dc:date.issued
2003

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Harbour, Daniel, 1975-
Advisor dc:contributor.advisor
  • Morris Halle and Alec Marantz.

Subjects

dc:subject × 1

Rights

dc:rights
Statement dc:rights
  • M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.
Language dc:language.iso
eng

Identifiers

dc:identifier.*
OAI identifier oai:identifier
oai:dspace.mit.edu:1721.1/17581

Chain of custody

source
Harvested from
MIT
Base URL
dspace.mit.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Harbour, Daniel, 1975-. Elements of number theory. Massachusetts Institute of Technology, 2003. http://hdl.handle.net/1721.1/17581