Deduction: Introductory Symbolic Logic / Edition 2

Deduction: Introductory Symbolic Logic / Edition 2

by Daniel Bonevac, Bonevac
     
 

ISBN-10: 063122713X

ISBN-13: 9780631227137

Pub. Date: 12/02/2002

Publisher: Wiley

Deduction is an efficient and elegant presentation of classical first-order logic. It presents a truth tree system based on the work of Jeffrey, as well as a natural deduction system inspired by that of Kalish and Montague. Both are very natural and easy to learn. The definition of a formula excludes free variables, and the deduction system uses Show…  See more details below

Overview

Deduction is an efficient and elegant presentation of classical first-order logic. It presents a truth tree system based on the work of Jeffrey, as well as a natural deduction system inspired by that of Kalish and Montague. Both are very natural and easy to learn. The definition of a formula excludes free variables, and the deduction system uses Show lines; the combination allows rules to be stated very simply.

The book's main innovation is its final part, which contains chapters on extensions and revisions of classical logic: modal logic, many-valued logic, fuzzy logic, intuitionistic logic, counterfactuals, deontic logic, common-sense reasoning, and quantified modal logic. These have been areas of great logical and philosophical interest over the past 40 years, but few other textbooks treat them in any depth. Deduction makes these areas accessible to introductory students. All chapters have discussions of the underlying semantics and present both truth tree and deduction systems.

New features in this edition, in addition to truth tree systems for classical and nonclassical logics, include new and simpler rules for modal logic, deontic logic, and counterfactuals; discussions of many-valued, fuzzy, and intuitionistic logics; an introduction to common-sense reasoning (nonmonotonic logic); and extensively reworked problem sets, designed to lead students gradually from easier to more difficult problems. This new edition also features web-based programs that make use of the book's methods. Each program is set up to give students symbolization problems, give them hints, grade their work, and do problems for them.

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Product Details

ISBN-13:
9780631227137
Publisher:
Wiley
Publication date:
12/02/2002
Edition description:
REV
Pages:
528
Sales rank:
446,276
Product dimensions:
6.05(w) x 9.02(h) x 1.40(d)

Table of Contents

Preface to the Second Edition
Acknowledgments
1Basic Concepts of Logic1
2Sentences36
3Truth Trees76
4Natural Deduction107
5Quantifiers137
6Quantified Truth Trees173
7Quantified Natural Deduction206
8Identity and Function Symbols225
9Necessity249
10Between Truth and Falsehood295
11Obligation361
12Counterfactuals395
13Common-Sense Reasoning434
14Quantifiers and Modality475
Bibliography504
Index507

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