Godel, Tarski and the Lure of Natural Language : Logical Entanglement, Formalism Freeness
Book Details
Format
Paperback / Softback
ISBN-10
1108940579
ISBN-13
9781108940573
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Aug 11th, 2022
Print length
199 Pages
Weight
302 grams
Dimensions
15.10 x 22.70 x 1.60 cms
Product Classification:
Philosophy: logicMathematical logicPhilosophy of science
Ksh 4,450.00
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In this book Juliette Kennedy presents an original perspective on foundations of mathematics. Departing from Gödel and Tarski's work, the treatment is historically, logically and set-theoretically rich, and topics such as naturalism and foundations receive their due, but now with an entirely new twist.
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.
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