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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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Proofs and Models in Philosophical Logic (Elements in Philosophy and Logic)
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Proofs and Models in Philosophical Logic (Elements in Philosophy and Logic)
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Proofs and Models in Philosophical Logic (Elements in Philosophy and Logic)
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ISBN 13: 9781009045384
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Proofs and Models in Philosophical Logic (Elements in Philosophy and Logic)
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Proofs and Models in Philosophical Logic (Elements in Philosophy and Logic)
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Proofs and Models in Philosophical Logic
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Paperback. Condizione: new. 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 multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9781009045384
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