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An Introduction to Non-Classical Logic
From If to Is

2nd Edition

$33.00 USD

Part of Cambridge Introductions to Philosophy

  • Date Published: May 2008
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9780511389535

$ 33.00 USD
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About the Authors
  • This revised and considerably expanded 2nd edition brings together a wide range of topics, including modal, tense, conditional, intuitionist, many-valued, paraconsistent, relevant, and fuzzy logics. Part 1, on propositional logic, is the old Introduction, but contains much new material. Part 2 is entirely new, and covers quantification and identity for all the logics in Part 1. The material is unified by the underlying theme of world semantics. All of the topics are explained clearly using devices such as tableau proofs, and their relation to current philosophical issues and debates are discussed. Students with a basic understanding of classical logic will find this book an invaluable introduction to an area that has become of central importance in both logic and philosophy. It will also interest people working in mathematics and computer science who wish to know about the area.

    • Second edition includes sections on tense logic and logics of constrictible negation
    • Provides new material on relevant logics and fuzzy logics
    • Much expanded and now in a larger format
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    Reviews & endorsements

    'Priest's Introduction to Non-Classical Logic is my textbook of choice for introducing non-classical logic to undergraduates. It is unique in meeting two almost inconsistent aims. It gives the reader an introduction to a vast range of non-classical logics. No comparable textbook manages to cover modal logics, conditional logics, intuitionistic logic, relevant and paraconsistent logics and fuzzy logic with such clarity and accessibility. Amazingly, it is not merely a catalogue of different logical systems. The distinctive value of this Introduction is that it also tells a coherent story: Priest weaves together these different logics in the one narrative - the search for a logic of conditionals. With the publication of the second volume, this unique combination of breadth and coherence now covers much more ground, and the reader now has an expert guide to much more of the vast field of research in non-classical logics.' Greg Restall, The University of Melbourne

    'I've used your book (first edition, that is) for years now in my upper level philosophy of logic courses. It is easily the best introduction to non-classical logics. I especially like its coverage of conditionals, and the introduction to relevant logic. Over the years, your book has made my students come to appreciate the variety and scope that exists within in formal logic, I intend to use the new edition so as to carry similar investigations into first order theory.' Jeffry Pelletier, Simon Fraser University

    'Graham Priest's Introduction to Non-Classical Logic made this fascinating material on alternative logics accessible to my students for the very first time. The very welcome new edition extends the range of what is addressed to include important questions about quantification for modal logic, and the other systems as well.' Tony Roy, California State University, San Bernardino

    'The first edition of Graham Priest's Introduction to Non-Classical Logic turned out to be an extremely useful and well-written introductory guide to the vast and difficult to survey area of non-classical and philosophical logic. The substantially expanded second edition in two volumes is bound to become a standard reference.' Heinrich Wansing, Dresden University of Technology

    'Clear, self-contained, generously complete: this is bound to be the classic on non-classical logics for many years to come.' Achille Varzi, Columbia University

    'This is an excellent introductory book to modern non-classical logics, fully accessible to non-professionals, and useful to professionals too. I have used part of its content in teaching Non-Classical Logic in the past years, and the response from my students shows the great success of the author's intention. The proof system it employs and the meta-proofs it provides are extremely easy to follow, while those followed-up philosophical discussions it summarizes for each logic system are both concise and lucid. It is not only a work introducing modern non-classical logic systems, but also a work full of interesting philosophical discussions on the motivations, advantages and disadvantages of these systems. With one penetrating theme - what a logic of conditionals should be like - in mind, the author has effectively organized a variety of topics into one integrated work. I would recommend it both to logicians and to philosophers, to professionals and to non-professionals.' Wen-fang Wang, National Chung Chen University

    'The second edition of Graham Priest's book is, like the first, clearly expressed, well thought out for the student and an essential work for all those studying philosophy who want an adequate grounding in non-classical logic. I have used the first edition successfully in my intermediate class for the last five years, and will certainly be adding the second edition to the reading list when it is available.' Steve Read, University of St Andrews

    'Priest succeeds in offering a marvellously unified treatment of 11 varieties of logic: classical, basic modal, normal modal, non-normal, conditional, intuitionist, many-valued, first-degree entailment, basic relevant, mainstream relevant, and fussy … Excellent references support this concise but clear treatment.' Choice

    'This book is just what the title says it is … And it is a very good one …' Stewart Shapiro, University of Ohio

    ' … for anyone who wants to explore the non-classical systems, it is the only book of its kind and could not be more highly recommended.' The Times Higher Education Supplement

    'I've just picked up a copy of the second edition of Graham Preist's An Introduction to Non-Classical Logic from the CUP bookshop. It looks terrific. More than twice the length of the first edition which just covered propositional logics, this covers their extensions with quantifiers and identity too. I thought the fist edition was terrific: so this is a hugely welcome expansion and I'm delighted to report that CUP has published this as a paperback in their Cambridge Introductions to Philosophy Series at just £18.99, which is surely an amazing bargain for a well produced 613 page book. So a must-buy and a must-read!' Logic Matters

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    Product details

    • Edition: 2nd Edition
    • Date Published: May 2008
    • format: Adobe eBook Reader
    • isbn: 9780511389535
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    Preface to the first edition
    Preface to the second edition
    Mathematical prolegomenon
    Part I. Propositional Logic:
    1. Classical logic and the material conditional
    2. Basic modal logic
    3. Normal modal logics
    4. Non-normal modal logics
    strict conditionals
    5. Conditional logics
    6. Intuitionist logic
    7. Many-valued logics
    8. First degree entailment
    9. Logics with gaps, gluts, and worlds
    10. Relevant logics
    11. Fuzzy logics
    11a. Appendix: many valued modal logics
    Postscript: an historical perspective on conditionals
    Part II. Qualification and Identity:
    12. Classical logic
    13. Free logic
    14. Constant domain modal logics
    15. Variable domain modal logics
    16. Necessary identity in modal logic
    17. Contingent identity in modal logic
    18. Non-normal modal logics
    19. Conditional logics
    20. Intuitionist logic
    21. Many-valued logics
    22. First degree entailment
    23. Logics with gaps, gluts, and worlds
    24. Relevant logics
    25. Fuzzy logics
    Postscript: a methodological coda.

  • Resources for

    An Introduction to Non-Classical Logic

    Graham Priest

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    Please note that Solutions only covers up to the end of Part I.

    Part II currently does not have any published solutions resources. 

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  • Instructors have used or reviewed this title for the following courses

    • Advanced Formal Logic
    • Advanced Topics in Logic
    • Alternative Logic
    • Alternative Logics
    • Formal Logic
    • Foundation Seminar
    • Intermediate Logic
    • Intermediate Logic: Nonclassical Logic
    • Leadership & Ethics
    • Logic and Language: Modal Logic
    • Logic and Scientific Reasoning
    • Logic for Philosophers
    • Philosophical Logic
    • Philosophical Topics in Logic
    • Seminar in Logical Theory
    • Symbolic Logic ll
    • Topics in Philosophical Logic: Non-Classical Logic
    • logic and moral reasoning
  • Author

    Graham Priest, University of Melbourne
    Graham Priest is Boyce Gibson Professor of Philosophy, University of Melbourne. His most recent publications include Towards Non-Being (2005) and Doubt Truth to be a Liar (2006).

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