An Introduction to Non-Classical Logic: From If to Is / Edition 2

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This revised and considerably expanded edition of An introduction to Non-Classical Logic brings together a wide range of topics, including modal, tense, conditional, intuitionist, many-valued, paraconsistent, relevant and fuzzy logics. Part I, on prepositional logic, is the old introduction, but contains much new material. Part II is entirely novel, and covers quantification and identity for all the logics in Part I. The material is unified by the underlying theme of world semantics. All of the topics are explained clearly and accessibly, using devices such as tableau proofs, and their relation to current philosophical issues and debates is 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.
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Editorial Reviews

From the Publisher
"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

  • ISBN-13: 9780521670265
  • Publisher: Cambridge University Press
  • Publication date: 5/31/2008
  • Series: Cambridge Introductions to Philosophy Series
  • Edition description: Revised Edition
  • Edition number: 2
  • Pages: 648
  • Product dimensions: 6.80 (w) x 9.60 (h) x 1.50 (d)

Meet the Author

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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Table of Contents

Mathematical Prolegomenon

Set-theoretic Notation

Proof by Induction

Equivalence Relations and Equivalence Classes

Pt. I Propositional Logic 1

1 Classical Logic and the Material Conditional 3

2 Basic Modal Logic 20

3 Normal Modal Logics 36

4 Non-normal Modal Logics; Strict Conditionals 64

5 Conditional Logics 82

6 Intuitionist Logic 103

7 Many-valued Logics 120

8 First Degree Entailment 142

9 Logics with Gaps, Gluts and Worlds 163

10 Relevant Logics 188

11 Fuzzy Logics 221

11a Appendix: Many-valued Modal Logics 241

Postscript: An Historical Perspective on Conditionals 259

Pt. II Quantification and Identity 261

12 Classical First-order Logic 263

13 Free Logics 290

14 Constant Domain Modal Logics 308

15 Variable Domain Modal Logics 329

16 Necessary Identity in Modal Logic 349

17 Contingent Identity in Modal Logic 367

18 Non-normal Modal Logics 384

19 Conditional Logics 399

20 Intuitionist Logic 421

21 Many-valued Logics 456

22 First Degree Entailment 476

23 Logics with Gaps, Gluts and Worlds 504

24 Relevant Logics 535

25 Fuzzy Logics 564

Postscript: A Methodological Coda 584

References 587

Index of Names 603

Index of Subjects 607

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