Philosophical Review 110 (1):79-82 (2001)

Authors
John Burgess
Princeton University
Abstract
Mathematics tells us there exist infinitely many prime numbers. Nominalist philosophy, introduced by Goodman and Quine, tells us there exist no numbers at all, and so no prime numbers. Nominalists are aware that the assertion of the existence of prime numbers is warranted by the standards of mathematical science; they simply reject scientific standards of warrant.
Keywords Analytic Philosophy  Contemporary Philosophy  General Interest
Categories (categorize this paper)
ISBN(s) 0031-8108
DOI 10.1215/00318108-110-1-79
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 65,811
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Platonism and Anti-Platonism in Mathematics.Mark Balaguer - 1998 - New York, NY, USA: Oxford University Press.
Just What is Full-Blooded Platonism?Greg Restall - 2003 - Philosophia Mathematica 11 (1):82--91.
Platonism and Anti‐Platonism: Why Worry?Mary Leng - 2005 - International Studies in the Philosophy of Science 19 (1):65 – 84.
Supervenience and Necessity: A Response to Balaguer.J. M. Dieterle - 2000 - Philosophia Mathematica 8 (3):302-309.
The Nature of Mathematical Objects.Øystein Linnebo - 2008 - In Bonnie Gold & Roger Simons (eds.), Proof and Other Dilemmas: Mathematics and Philosophy. Mathematical Association of America. pp. 205--219.
Wittgenstein's Anti-Platonism.Sílvio Pinto - 1998 - Grazer Philosophische Studien 56 (1):109-132.
Uwagi o platonizmie matematycznym.Anna Lemańska - 2012 - Filozofia Nauki 20 (2).

Analytics

Added to PP index
2010-09-12

Total views
23 ( #480,651 of 2,463,156 )

Recent downloads (6 months)
1 ( #449,391 of 2,463,156 )

How can I increase my downloads?

Downloads

My notes