Vague Quantity, Numerals, and Natural Numbers

.  This paper proposes that numerals are licensed by the feature [±augmented]. This proposal accommodates the dissociation of numerals from the plural morphology and accounts for the phenomenon of 1-deletion. The [±augmented] feature is located in the # head and selects a numeral in its specifier. In contrast to numerals and measure phrases accompanied by numerals, vague-quantity expressions are shown to be placed in a position higher than #P.

[1]  I. Vinogradov,et al.  Elements of number theory , 1954 .

[2]  Junko Ito.  The phonology of voincing in Japanese , 1986 .

[3]  Manfred Krifka,et al.  Nominal Reference, Temporal Constitution and Quantification in Event Semantics , 1989 .

[4]  Laverne Masayesva Jeanne,et al.  On Suppletion, Selection, and Agreement , 1991 .

[5]  K. Hale.  Some observations on the contributions of local languages to linguistic science , 1997 .

[6]  H. V. Riemsdijk.  Categorial feature magnetism: The endocentricity and distribution of projections , 1998 .

[7]  L. Cheng,et al.  Bare and Not-So-Bare Nouns and the Structure of NP , 1999, Linguistic Inquiry.

[8]  H. M. Vos,et al.  A Grammar of Partitive Constructions , 1999 .

[9]  Javier Gutiérrez-Rexach,et al.  The semantics of Spanish plural existential determiners and the dynamics of judgment types , 2001 .

[10]  Rolf Noyer,et al.  Movement Operations after Syntax , 2001, Linguistic Inquiry.

[11]  H. Harley,et al.  Person and Number in Pronouns: A Feature-Geometric Analysis , 2002 .

[12]  Kimiko Nakanishi,et al.  Japanese Plurals are Exceptional , 2004 .

[13]  Albert Ortmann.  A Factorial Typology of Number Marking in Noun Phrases: The Tension between Economy and Faithfulness , 2004 .

[14]  H. Yamakido.  The nature of adjectival inflection in Japanse , 2005 .

[15]  Viviane Déprez,et al.  Morphological number, semantic number and bare nouns , 2005 .

[16]  Ora Matushansky,et al.  The Composition of Complex Cardinals , 2006, J. Semant..

[17]  Akira Watanabe,et al.  Functional Projections of Nominals in Japanese: Syntax of Classifiers* , 2006 .

[18]  Paolo Acquaviva,et al.  Goidelic inherent plurals and the morphosemantics of number , 2006 .

[19]  Roger Schwarzschild,et al.  The Role of Dimensions in the Syntax of Noun Phrases , 2006 .

[20]  James R. Hurford.  A performed practice explains a linguistic universal: Counting gives the Packing Strategy , 2007 .

[21]  Richard S. Kayne.  Several, few and many , 2007 .

[22]  Alec Marantz,et al.  Architecture and Blocking , 2008, Linguistic Inquiry.

[23]  R. Mester,et al.  The Phonology of Voicing in Japanese: Theoretical Consequences for Morphological Accessibility , 2008 .

[24]  Y. Miyamoto.  On the nominal-internal distributive interpretation in Japanese , 2009 .