Paperback. 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. 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 different proof systems and different kinds of models for a range of logics, as well as compares and contrasts the different approaches to substructural treatments of the paradox. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

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Titolo: Proofs and Models in Philosophical Logic (Paperback)
Editore: Cambridge University Press, Cambridge
Data di pubblicazione: 2022
Lingua: Inglese
ISBN 10: 1009045385
ISBN 13: 9781009045384
Rilegatura: Paperback
Condizione: new

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

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