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Published by McGill-Queen's University Press, 2006
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Published by McGill-Queen's University Press, 2006
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Published by McGill-Queen's University Press, 2006
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Language: English
Published by Cambridge University Press, 2022
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Published by Cambridge University Press 4/21/2022, 2022
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Paperback or Softback. Condition: New. Proofs and Models in Philosophical Logic. Book.
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Published by Cambridge University Press, 2022
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Published by Cambridge University Press, GB, 2022
ISBN 10: 1009045385 ISBN 13: 9781009045384
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Paperback. Condition: New. 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.
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Published by Cambridge University Press, 2022
ISBN 10: 1009045385 ISBN 13: 9781009045384
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Published by Cambridge University Press, Cambridge, 2022
ISBN 10: 1009045385 ISBN 13: 9781009045384
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Paperback. Condition: 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.
Language: English
Published by Routledge 13/12/2005, 2005
ISBN 10: 0415400686 ISBN 13: 9780415400688
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Paperback. Condition: new. Paperback. An accessible introduction to philosophical logic, suitable for undergraduate courses and above.An accessible introduction to philosophical logic, suitable for undergraduate courses and above.Rigorous yet accessible, Logical Methods introduces logical tools used in philosophy-including proofs, models, modal logics, meta-theory, two-dimensional logics, and quantification-for philosophy students at the undergraduate level and above. The approach developed by Greg Restall and Shawn Standefer is distinct from other texts because it presents proof construction on equal footing with model building and emphasizes connections to other areas of philosophy as the tools are developed.Throughout, the material draws on a broad range of examples to show readers how to develop and master tools of proofs and models for propositional, modal, and predicate logic; to construct and analyze arguments and to find their structure; to build counterexamples; to understand the broad sweep of formal logic's development in the twentieth and twenty-first centuries; and to grasp key concepts used again and again in philosophy.This text is essential to philosophy curricula, regardless of specialization, and will also find wide use in mathematics and computer science programs.Features-An accessible introduction to proof theory for readers with no background in logicCovers proofs, models, modal logics, meta-theory, two-dimensional logics, quantification, and many other topicsProvides tools and techniques of particular interest to philosophers and philosophical logiciansFeatures short summaries of key concepts and skills at the end of each chapterOffers chapter-by-chapter exercises in two categories- basic, designed to reinforce important ideas; and challenge, designed to push students' understanding and developing skills in new directions "An advanced-level logic textbook that presents proof construction on equal footing with model building. Potentially relevant to students of mathematics and computer science as well"-- Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Language: English
Published by Cambridge University Press 2022-04, 2022
ISBN 10: 1009045385 ISBN 13: 9781009045384
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Published by Cambridge University Press, 2022
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Published by Cambridge University Press, 2022
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Language: English
Published by Cambridge University Press, 2022
ISBN 10: 1009045385 ISBN 13: 9781009045384
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