Confirming mathematical theories: An ontologically agnostic stance

Authors
Citation
A. Peressini, Confirming mathematical theories: An ontologically agnostic stance, SYNTHESE, 118(2), 1999, pp. 257-277
Citations number
30
Categorie Soggetti
Philosiphy
Journal title
SYNTHESE
ISSN journal
00397857 → ACNP
Volume
118
Issue
2
Year of publication
1999
Pages
257 - 277
Database
ISI
SICI code
0039-7857(1999)118:2<257:CMTAOA>2.0.ZU;2-B
Abstract
The Quine/Putnam indispensability approach to the confirmation of mathemati cal theories in recent times has been the subject of significant criticism. In this paper I explore an alternative to the Quine/Putnam indispensabilit y approach. I begin with a van Fraassen-like distinction between accepting the adequacy of a mathematical theory and believing in the truth of a mathe matical theory. Finally, I consider the problem of moving from the adequacy of a mathematical theory to its truth. I argue that the prospects for just ifying this move are qualitatively worse in mathematics than they are in sc ience.