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Goedel, Tarski and the Lure of Natural Language

Goedel, Tarski and the Lure of Natural Language

Logical Entanglement, Formalism Freeness

by Juliette Kennedy
Paperback
Publication Date: 11/08/2022

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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 Goedel 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.
ISBN:
9781108940573
9781108940573
Category:
Mathematical logic
Format:
Paperback
Publication Date:
11-08-2022
Publisher:
Cambridge University Press
Country of origin:
United Kingdom
Pages:
199
Dimensions (mm):
228x152x10mm
Weight:
0.3kg

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