Deduction: Introductory Symbolic Logic / Edition 2by Daniel Bonevac, Bonevac
Pub. Date: 12/02/2002
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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Table of Contents
Preface to the Second Edition..
1. Basic Concepts of Logic:.
Implication And Equivalence.
Logical Properties Of Sentences.
The Language Of Sentential Logic.
A Sentential Language.
Truth Tables for Formulas.
Truth Tables for Argument Forms.
Implication, Equivalence and Satisfiability.
3. Truth Trees:.
Constructing Truth Trees.
Negation, Conjunction, and Disjunction.
The Conditional and Biconditional.
4. Natural Deduction:.
Natural Deduction Systems.
Rules for Negation and Conjunction.
Rules for the Conditional and Biconditional.
Rules for Disjunction.
Constants and Quantifiers.
Categorical Sentence Forms.
The Language Q.
6. Quantified Truth Trees:.
Rules for Quantifiers.
Constructing Interpretations from Trees.
7. Quantified Natural Deduction:.
Deduction Rules for Quantifiers.
Derived Rules for Quantifiers.
8. Identity And Function Symbols:.
Truth Tree Rules for Identity.
Deduction Rules for Identity.
Modal Truth Trees.
Other Tree Rules.
Other Modal Systems.
10. Between Truth And Falsehood:.
Vagueness And Presupposition.
Many-Valued Truth Tables.
Deontic Truth Trees.
Moral and Practical Reasoning.
The Meaning of Counterfactuals.
Truth Tree Rules for Counterfactuals.
Deduction Rules for Counterfactuals.
Stalnaker's Semantics: System CS.
Lewis's Semantics: System CL.
13. Common-Sense Reasoning:.
When Good Arguments Go Bad.
Defeasible Deontic Logic.
14. Quantifiers And Modality:.
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