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

Oxford University Press (1997)

Authors
John Burgess
Princeton University
Gideon Rosen
Princeton University
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)
Reprint years 1999
Buy the book $37.03 used (63% off)   $60.62 new (1% off)   $61.00 direct from Amazon    Amazon page
Call number QA8.4.B86 1997
ISBN(s) 9780198236153   0198250126   0198236158   9780198250128  
DOI 10.2307/2653551
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 41,650
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

On What Grounds What.Jonathan Schaffer - 2009 - In David Manley, David J. Chalmers & Ryan Wasserman (eds.), Metametaphysics: New Essays on the Foundations of Ontology. Oxford University Press. pp. 347-383.
The Intellectual Given.John Bengson - 2015 - Mind 124 (495):707-760.
From Nihilism to Monism.Jonathan Schaffer - 2007 - Australasian Journal of Philosophy 85 (2):175 – 191.

View all 89 citations / Add more citations

Similar books and articles

Analytics

Added to PP index
2009-01-28

Total views
244 ( #24,727 of 2,250,022 )

Recent downloads (6 months)
21 ( #36,769 of 2,250,022 )

How can I increase my downloads?

Downloads

My notes

Sign in to use this feature