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  1. Home
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  3. Gödel, Tarski and the Lure of Natural Language
  • Cited by 7
Publisher:
Cambridge University Press
Online publication date:
December 2020
Print publication year:
2020
Online ISBN:
9780511998393
DOI:
https://doi.org/10.1017/9780511998393
Subjects:
Mathematics (general), Mathematics, Philosophy of Science, Philosophy
Information

Book description

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.

Reviews

‘Kennedy creatively embeds Gödel'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

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