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An Introduction to Non-Classical Logic
From If to Is

2nd Edition

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Part of Cambridge Introductions to Philosophy

  • Date Published: May 2008
  • availability: Available
  • format: Paperback
  • isbn: 9780521670265

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  • 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

    "This revised and considerably expanded second edition is over twice as long and contains a new second part on quantification and identity for all the logics appearing in the first part of the book, which also contains much new material. Due to the author's clear and approachable style, this book may be interesting to a large circle of logicians, mathematicians and philosophers. 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 logic, philosophy and, generally, in the methodology of science."
    Branislav Boricic, Mathematical Reviews

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    Product details

    • Edition: 2nd Edition
    • Date Published: May 2008
    • format: Paperback
    • isbn: 9780521670265
    • length: 643 pages
    • dimensions: 246 x 174 x 36 mm
    • weight: 1.29kg
    • availability: Available
  • 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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