Mathematical determinacy and the transferability of aboutness

Pollard, Stephen

doi:10.1007/s11229-006-9069-1

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The Internal Categoricity Of Set Theory1

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2016

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Cited by 2 publications

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“…And, if we are no longer concerned to rebut a sceptic, then Kurt may simply be able to take Michael, at his homophonic word, that he is talking about 'everything, without restriction' (cf. Pollard 2007).…”

Section: The Internal Categoricity Of Set Theorymentioning

confidence: 99%

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

Button¹,

Walsh²

2016

Philosophia Mathematica

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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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Section: The Internal Categoricity Of Set Theorymentioning

confidence: 99%