A Subject with No Object: Strategies for Nominalistic Interpretation of Mathematics

Oxford University Press (1997)
Abstract
Numbers and other mathematical objects are exceptional in having no locations in space or time or relations of cause and effect. This makes it difficult to account for the possibility of the knowledge of such objects, leading many philosophers to embrace nominalism, the doctrine that there are no such objects, and to embark on ambitious projects for interpreting mathematics so as to preserve the subject while eliminating its objects. This book cuts through a host of technicalities that have obscured previous discussions of these projects, and presents clear, concise accounts of a dozen strategies for nominalistic interpretation of mathematics, thus equipping the reader to evaluate each and to compare different ones. The authors also offer critical discussion, rare in the literature, of the aims and claims of nominalistic interpretation, suggesting that it is significant in a very different way from that usually assumed.
Keywords Mathematics Philosophy
Categories (categorize this paper)
Buy the book $46.48 used (16% off)   $46.49 new (16% off)   $51.51 direct from Amazon (7% off)    Amazon page
Call number QA8.4.B86 1997
ISBN(s) 9780198236153   0198250126   0198236158   9780198250128  
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
 
Download options
PhilPapers Archive


Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 11,074
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.

Citations of this work BETA
Jonathan Schaffer (2007). From Nihilism to Monism. Australasian Journal of Philosophy 85 (2):175 – 191.

View all 38 citations

Similar books and articles
Analytics

Monthly downloads

Added to index

2009-01-28

Total downloads

113 ( #8,898 of 1,101,577 )

Recent downloads (6 months)

8 ( #28,199 of 1,101,577 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Start a new thread
Order:
There  are no threads in this forum
Nothing in this forum yet.