Gödel, Tarski and the Lure of Natural Language

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Gödel, Tarski and the Lure of Natural Language is written by Juliette Kennedy and published by Cambridge University Press. It's available with International Standard Book Number or ISBN identification 1009028235 (ISBN 10) and 9781009028233 (ISBN 13).

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.