Structure and Categoricity: Determinacy of Reference and Truth Value in the Philosophy of MathematicsaEuro
Accepted version
Peer-reviewed
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Repository DOI
Change log
Authors
Button, Timothy https://orcid.org/0000-0002-8865-9795
Walsh, Sean
Abstract
This article surveys recent literature by Parsons, McGee, Shapiro and others on the significance of categoricity arguments in the philosophy of mathematics. After discussing whether categoricity arguments are sufficient to secure reference to mathematical structures up to isomorphism, we assess what exactly is achieved by recent ‘internal’ renditions of the famous categoricity arguments for arithmetic and set theory.
Description
Keywords
5003 Philosophy, 50 Philosophy and Religious Studies
Journal Title
PHILOSOPHIA MATHEMATICA
Conference Name
Journal ISSN
0031-8019
1744-6406
1744-6406
Volume Title
Publisher
Oxford University Press (OUP)