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2 results

  • 1 - Introduction

  • Juliette Kennedy, University of Helsinki
  • Book:
    Gödel, Tarski and the Lure of Natural Language
    Published online:
    03 December 2020
    Print publication:
    17 December 2020, pp 1-18

  • Summary

    The central concepts of the book are introduced: formalism freeness and logical entanglement.The stability of the syntax/semantics distinction is discussed, as is J. Burgess’s distinction between formal and linguistic semantics. A special kind of logical pluralism is introduced, and likened to the theme of multi-scalarityas defined in Mark Wilson’s work.

Gödel, Tarski and the Lure of Natural Language
  • Logical Entanglement, Formalism Freeness
  • Juliette Kennedy
  • Published online:
    03 December 2020
    Print publication:
    17 December 2020
  • 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.