Proofs and Models in Philosophical Logic

Greg Restall

ISBN 10: 1009045385 / ISBN 13: 9781009045384

Editore: Cambridge University Press, GB, 2022

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. Codice articolo LU-9781009045384

Riassunto:

Proofs and models are key tools for analysing clarifying our concepts. Philosophers should learn how to use both.

Dati bibliografici

Titolo: Proofs and Models in Philosophical Logic
Casa editrice: Cambridge University Press, GB
Data di pubblicazione: 2022
Legatura: Paperback
Condizione: New