Details

Autor(en) / Beteiligte

• Kennedy, Juliette

Titel

Gödel, Tarski and the lure of natural language : logical entanglement, formalism freeness

Ort / Verlag

Cambridge : Cambridge University Press

Erscheinungsjahr

2021

Link zum Volltext

• Cambridge University Press online books

Link zu anderen Inhalten

• Inhaltsverzeichnis

Beschreibungen/Notizen

• Title from publisher's bibliographic system (viewed on 01 Jan 2021)
• 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.