Mathematics Without Numbers: Towards a Modal-Structural Interpretation

Oxford University Press (1989)

Authors
Geoffrey Hellman
University of Minnesota
Abstract
Develops a structuralist understanding of mathematics, as an alternative to set- or type-theoretic foundations, that respects classical mathematical truth while ...
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Reprint years 1992, 1993
Buy the book $27.99 used (59% off)   $64.66 new (5% off)   $68.00 direct from Amazon    Amazon page
ISBN(s) 0198240341   9780198240341  
DOI 10.2307/2185960
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

Against Parthood.Theodore Sider - 2013 - Oxford Studies in Metaphysics 8:237–293.
Mathematical Explanation in Science.Alan Baker - 2009 - British Journal for the Philosophy of Science 60 (3):611-633.
Conversational Exculpature.Daniel Hoek - 2018 - Philosophical Review 127 (2):151-196.
What Are Groups?Katherine Ritchie - 2013 - Philosophical Studies 166 (2):257-272.

View all 132 citations / Add more citations

Similar books and articles

A Conversation About Numbers and Knowledge.Charles Sayward - 2002 - American Philosophical Quarterly 39 (3):275-287.
Structuralism Without Structures.Hellman Geoffrey - 1996 - Philosophia Mathematica 4 (2):100-123.
Towards a Philosophy of Applied Mathematics.Christopher Pincock - 2009 - In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave-Macmillan.
What Numbers Could Be (and, Hence, Necessarily Are).Mark Eli Kalderon - 1996 - Philosophia Mathematica 4 (3):238-255.
Categories Without Structures.Andrei Rodin - 2011 - Philosophia Mathematica 19 (1):20-46.

Analytics

Added to PP index
2009-05-24

Total views
89 ( #86,876 of 2,250,002 )

Recent downloads (6 months)
13 ( #73,697 of 2,250,002 )

How can I increase my downloads?

Downloads

My notes

Sign in to use this feature