Philosophia Mathematica 9 (1):21-36 (2001)

Authors
William W. Tait
University of Chicago
Abstract
This paper contains a defense against anti-realism in mathematics in the light both of incompleteness and of the fact that mathematics is a ‘cultural artifact.’. Anti-realism (here) is the view that theorems, say, of aritltmetic cannot be taken at face value to express true propositions about the system of numbers but must be reconstrued to be about somctliiiig else or about nothing at all. A ‘bite-the-bullet’ aspect of the defease is that, adopting new axioms, liitherto independent, is not. a matter of recognizing trutlis wliich had previoasly been unrecognized, but of extending the domain of what is true.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1093/philmat/9.1.21
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: 60,795
Through your library

References found in this work BETA

What Numbers Could Not Be.Paul Benacerraf - 1965 - Philosophical Review 74 (1):47-73.
Truth and Other Enigmas.Michael Dummett - 1980 - Revue Philosophique de la France Et de l'Etranger 170 (1):62-65.
Truth and Other Enigmas.Michael Dummett - 1981 - Philosophical Quarterly 31 (122):47-67.
What is Mathematics, Really?Reuben Hersh - 1997 - Oxford University Press.

View all 20 references / Add more references

Citations of this work BETA

Mathematics and Fiction II: Analogy.Robert Thomas - 2002 - Logique Et Analyse 45:185-228.
Godel's Unpublished Papers on Foundations of Mathematics.W. W. Tatt - 2001 - Philosophia Mathematica 9 (1):87-126.

View all 7 citations / Add more citations

Similar books and articles

Analytics

Added to PP index
2009-01-28

Total views
79 ( #132,027 of 2,438,774 )

Recent downloads (6 months)
5 ( #136,199 of 2,438,774 )

How can I increase my downloads?

Downloads

My notes