Proofs and Models in Philosophical Logic
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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.
Format:Paperback
Language:English
ISBN:1009045385
ISBN13:9781009045384
Release Date:April 2022
Publisher:Cambridge University Press
Length:75 Pages
Weight:0.35 lbs.
Dimensions:0.2" x 6.0" x 9.0"
Related Subjects
PhilosophyCustomer Reviews
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