Button, T;
Smith, P;
(2012)
The Philosophical Significance of Tennenbaum's Theorem.
Philosophia Mathematica
, 20
(1)
pp. 114-121.
10.1093/philmat/nkr031.
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Abstract
Tennenbaum's Theorem yields an elegant characterisation of the standard model of arithmetic. Several authors have recently claimed that this result has important philosophical consequences: in particular, it offers us a way of responding to model-theoretic worries about how we manage to grasp the standard model. We disagree. If there ever was such a problem about how we come to grasp the standard model, then Tennenbaum's Theorem does not help. We show this by examining a parallel argument, from a simpler model-theoretic result.
Type: | Article |
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Title: | The Philosophical Significance of Tennenbaum's Theorem |
Open access status: | An open access version is available from UCL Discovery |
DOI: | 10.1093/philmat/nkr031 |
Publisher version: | https://doi.org/10.1093/philmat/nkr031 |
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/10085883 |
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