Structure and Categoricity: Determinacy of Reference and Truth Value in the Philosophy of Mathematics(aEuro)
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Publication Date
2016-10Journal Title
PHILOSOPHIA MATHEMATICA
ISSN
0031-8019
Publisher
Oxford University Press (OUP)
Language
English
Type
Article
This Version
AM
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Button, T., & Walsh, S. (2016). Structure and Categoricity: Determinacy of Reference and Truth Value in the Philosophy of Mathematics(aEuro). PHILOSOPHIA MATHEMATICA https://doi.org/10.1093/philmat/nkw007
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.
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External DOI: https://doi.org/10.1093/philmat/nkw007
This record's URL: https://www.repository.cam.ac.uk/handle/1810/254508
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