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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.Read more
- 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
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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- Edition: 2nd Edition
- Date Published: June 2008
- format: Hardback
- isbn: 9780521854337
- length: 646 pages
- dimensions: 244 x 170 x 35 mm
- weight: 1.22kg
- availability: Available
Table of Contents
Preface to the first edition
Preface to the second edition
Part I. Propositional Logic:
1. Classical logic and the material conditional
2. Basic modal logic
3. Normal modal logics
4. Non-normal modal logics
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.
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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