Proofs and Models in Philosophical Logic

Greg Restall (University of St Andrews, Scotland)

$32.95

Paperback

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English

Cambridge University Press
21 April 2022

Philosophy; Philosophy: logic

Series: Elements in Philosophy and Logic

Summary
Details

This Element is an introduction to recent work proofs and models in philosophical logic, with a focus on the semantic paradoxes the sorites paradox. It introduces and motivates different proof systems and different kinds of models for a range of logics, including classical logic, intuitionistic logic, a range of three-valued and four-valued logics, and substructural logics. It also compares and contrasts the different approaches to substructural treatments of the paradox, showing how the structural rules of contraction, cut and identity feature in paradoxical derivations. It then introduces model theoretic treatments of the paradoxes, including a simple fixed-point model construction which generates three-valued models for theories of truth, which can provide models for a range of different non-classical logics. The Element closes with a discussion of the relationship between proofs and models, arguing that both have their place in the philosophers' and logicians' toolkits.

By: Greg Restall (University of St Andrews Scotland)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Edition: New edition
Dimensions: Height: 228mm, Width: 152mm, Spine: 6mm
Weight: 160g
ISBN: 9781009045384
ISBN 10: 1009045385
Series: Elements in Philosophy and Logic
Pages: 75
Publication Date: 21 April 2022
Audience: College/higher education , Primary
Format: Paperback
Publisher's Status: Active

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Proofs and Models in Philosophical Logic

Greg Restall (University of St Andrews, Scotland)

$32.95

Paperback

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