portada Proofs and Models in Philosophical Logic (Elements in Philosophy and Logic) (en Inglés)

Proofs and Models in Philosophical Logic (Elements in Philosophy and Logic) (en Inglés)

Formato

Libro Físico

Autor

Greg Restall

Editorial

Cambridge University Press

Año

2022

Idioma

Inglés

N° páginas

Encuadernación

Tapa Blanda

Dimensiones

22.9x15.2x0.5 cm

Peso

0.14 kg.

ISBN13

9781009045384

Categorías

Filosofía: lógica

Proofs and Models in Philosophical Logic (Elements in Philosophy and Logic) (en Inglés)

Greg Restall (Autor) · Cambridge University Press · Tapa Blanda

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Reseña del libro "Proofs and Models in Philosophical Logic (Elements in Philosophy and Logic) (en Inglés)"

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.