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Structure and Categoricity: Determinacy of Reference and Truth Value in the Philosophy of Mathematics

Button, T; Walsh, S; (2016) Structure and Categoricity: Determinacy of Reference and Truth Value in the Philosophy of Mathematics. Philosophia Mathematica , 24 (3) pp. 283-307. 10.1093/philmat/nkw007. Green open access

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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.

Type: Article
Title: Structure and Categoricity: Determinacy of Reference and Truth Value in the Philosophy of Mathematics
Open access status: An open access version is available from UCL Discovery
DOI: 10.1093/philmat/nkw007
Publisher version: https://doi.org/10.1093/philmat/nkw007
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL SLASH
UCL > Provost and Vice Provost Offices > UCL SLASH > Faculty of Arts and Humanities
UCL > Provost and Vice Provost Offices > UCL SLASH > Faculty of Arts and Humanities > Dept of Philosophy
URI: https://discovery.ucl.ac.uk/id/eprint/10085874
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