Gödel, Tarski and the Lure of Natural Language: Logical Entanglement, Formalism Freeness

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Juliette Kennedy (University of Helsinki)

Gödel, Tarski and the Lure of Natural Language

Logical Entanglement, Formalism Freeness

Juliette Kennedy (University of Helsinki)

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English

Cambridge University Press
17 December 2020

Philosophy: logic; Mathematical logic; Philosophy of science

Is mathematics 'entangled' with its various formalisations? Or are the central concepts of mathematics largely insensitive to formalisation, or 'formalism free'? What is the semantic point of view and how is it implemented in foundational practice? Does a given semantic framework always have an implicit syntax? Inspired by what she calls the 'natural language moves' of Gödel and Tarski, Juliette Kennedy considers what roles the concepts of 'entanglement' and 'formalism freeness' play in a range of logical settings, from computability and set theory to model theory and second order logic, to logicality, developing an entirely original philosophy of mathematics along the way. The treatment is historically, logically and set-theoretically rich, and topics such as naturalism and foundations receive their due, but now with a new twist.

By: Juliette Kennedy (University of Helsinki)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 235mm, Width: 160mm, Spine: 15mm
Weight: 440g
ISBN: 9781107012578
ISBN 10: 1107012570
Pages: 220
Publication Date: 17 December 2020
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Juliette Kennedy is Associate Professor of Mathematics and Statistics at the University of Helsinki. Her research focuses on set theory, history of logic and philosophy of mathematics, and she is Editor of Interpreting Gödel: Critical Essays (Cambridge, 2014).

Reviews for Gödel, Tarski and the Lure of Natural Language: Logical Entanglement, Formalism Freeness

'Kennedy creatively embeds Goedel's ideal of 'formalism freeness' into myriad results in contemporary logic and foundations of mathematics, offering novel historical reconstructions of Tarski and Turing. A cutting-edge work of philosophy that synthesizes, while going beyond, our current ideas about foundations.' Juliet Floyd, Boston University