Title page for ETD etd-05252007-094340

Type of Document Master's Thesis
Author Martin, James V.
Author's Email Address jvmartin@vt.edu
URN etd-05252007-094340
Title A modifier-based philosophy of whole number.
Degree Master of Arts
Department Philosophy
Advisory Committee
Advisor Name Title
Epstein, Brian Committee Chair
Klagge, James C. Committee Member
Ott, Walter R. Committee Member
  • Compositionality
  • Adverbial Modifiers
  • Arithmetic
  • Number
Date of Defense 2007-05-10
Availability restricted
This paper offers an alternative philosophy of whole number in which number-words are treated as being of the semantic-type modifier. Other accounts of number in which number-words are treated as names, syncategoremata, determiners, and predicates are considered and rejected based on their failure to provide number-words with the necessary compositional semantics. This leaves only modifiers as plausible candidates to play number-words' role in natural language. After the semantic-type modifier is chosen, a decision between number-words' being adjectival or adverbial modifiers must then be made. I argue that due to a lack of entities to be ascribed adjectival numerical properties we must settle on an adverbial treatment. After developing this treatment, I close with an attempt to explain seemingly singular-term uses of number-words in arithmetical statements like '2 + 2 = 4' in terms of these claims' stating the rules for substituting equivalent modifier-phrases in non-mathematical usages.
  Filename       Size       Approximate Download Time (Hours:Minutes:Seconds) 
 28.8 Modem   56K Modem   ISDN (64 Kb)   ISDN (128 Kb)   Higher-speed Access 
[VT] JMartin.pdf 184.34 Kb 00:00:51 00:00:26 00:00:23 00:00:11 < 00:00:01
[VT] indicates that a file or directory is accessible from the Virginia Tech campus network only.

Browse All Available ETDs by ( Author | Department )

dla home
etds imagebase journals news ereserve special collections
virgnia tech home contact dla university libraries

If you have questions or technical problems, please Contact DLA.