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Hilary Putnam on Logic and Mathematics, edited by Geoffrey Hellman and Roy T. Cook

Button, T; (2020) Hilary Putnam on Logic and Mathematics, edited by Geoffrey Hellman and Roy T. Cook. [Review]. Mind , 129 (516) pp. 1327-1337. 10.1093/mind/fzz067. Green open access

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Abstract

Putnam’s most famous contribution to mathematical logic was his role in investigating Hilbert’s Tenth Problem: Putnam is the ‘P’ in the MRDP Theorem. This volume, though, focuses mostly on his work on the philosophy of logic and mathematics. It is a somewhat bumpy ride. Of the twelve papers, two scarcely mention Putnam. Three others focus primarily on Putnam’s ‘Mathematics without Foundations’ (1967), but with no interplay between them. The remaining seven papers apparently tackle unrelated themes. Some of this disjointedness would doubtless have been addressed if Putnam had been able to compose his replies to these papers; sadly, he died before this was possible. In this review, I shall do my best to tease out some connections between the papers; and there are some really interesting connections to be made. Ultimately, though, my review will be only a little less bumpy than the volume itself.

Type: Article
Title: Hilary Putnam on Logic and Mathematics, edited by Geoffrey Hellman and Roy T. Cook
Open access status: An open access version is available from UCL Discovery
DOI: 10.1093/mind/fzz067
Publisher version: https://doi.org/10.1093/mind/fzz067
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/10085869
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