Logic Book

ISBN-10: 007353563X
ISBN-13: 9780073535630
Edition: 5th 2009
List price: $166.67
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Description: This leading text for symbolic or formal logic courses presents all techniques and concepts with clear, comprehensive explanations, and includes a wealth of carefully constructed examples. Its flexible organization (with all chapters complete and  More...

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Book details

List price: $166.67
Edition: 5th
Copyright year: 2009
Publisher: McGraw-Hill Companies, The
Publication date: 7/30/2008
Binding: Hardcover
Pages: 696
Size: 6.75" wide x 9.25" long x 1.00" tall
Weight: 2.332
Language: English

This leading text for symbolic or formal logic courses presents all techniques and concepts with clear, comprehensive explanations, and includes a wealth of carefully constructed examples. Its flexible organization (with all chapters complete and self-contained) allows instructors the freedom to cover the topics they want in the order they choose.

Merrie Bergmann received her Ph.D. in philosophy from the University of Toronto and is currently an Associate Professor in the Computer Science Department at Smith College. She has published articles in formal semantics and logic, philosophy of language, and computational linguistics.

James Moor received his Ph.D. in history and philosophy of science from Indiana University and is currently a Professor of Philosophy at Dartmouth College. He has developed software for teaching logic and has published articles in philosophy of science, philosophy of mind, logic, philosophy of artificial intelligence, and computer ethics.

Background
Why Study Logic
Sentences, Truth-Values, and Arguments
Deductive Validity and Soundness
Inductive Arguments
Logical Consistency, Truth, Falsity, and Equivalence
Special Cases of Validity
Sentential Logic: Symbolization and Syntax
Symbolization and Truth-Functional Connectives
Complex Symbolizations
Non-Truth-Functional Connectives
The Syntax of SL
Sentential Logic: Semantics
Truth-Value Assignments and Truth-Tables for Sentences
Truth-Functional Truth, Falsity, and Indeterminacy
Truth-Functional Equivalence
Truth-Functional Consistency
Truth-Functional Entailment and Truth-Functional Validity
Truth-Functional Properties and Truth-Functional Consistency
Sentential Logic: Truth-Trees
The Truth-Tree Method
Truth-Tree Rules for Sentences Containing 'tilde', 'wedge', and 'ampersand'
Rules for Sentences Containing 'horseshoe' and 'triple bar'
More Complex Truth-Trees
Using Truth-Trees to Test for Truth-Functional Truth, Falsity, and Indeterminacy
Truth-Functional Equivalence
Truth-Functional Entailment and Truth-Functional Validity
Sentential Logic: Derivations
The Derivation System SD
Applying the Derivation Rules of SD
Basic Concepts of SD
Strategies for Constructing Derivations in SD
The Derivation System SD+
Sentential Logic: Metatheory
Mathematical Induction
Truth-Functional Completeness
The Soundness of SD and SD+
The Completeness of SD and SD+
Predicate Logic: Symbolization and Syntax
The Limitations of SL
Predicates, Individual Constants, and Quantity Terms of English
Introduction to PL
Quantifiers Introduced
The Formal Syntax of PL
A-, E-, I-, and O-Sentences
Symbolization Techniques
Multiple Quantifiers with Overlapping Scope
Identity, Definite Descriptions, and Properties of Relations, and Functions
Predicate Logic: Semantics
Informal Semantics for PL
Quantificational Truth, Falsehood, and Indeterminacy
Quantificational Equivalence and Consistency
Quantification Entailment and Validity
Truth-Functional Expansions
Semantics for Predicate Logic with Identity and Functors
Formal Semantics of PL and PLE
Predicate Logic: Truth-Trees
Expanding the Rules for Truth-Trees
Truth-Trees and Quantificational Consistency
Truth-Trees and Other Semantic Properties
Trees for PLE
Fine-Tuning the Tree Method
Predicate Logic: Derivations
The Derivation System PD
Applying the Derivation Rules of PD
Basic Concepts of PD
Strategies for Constructing Derivations in PD
The Derivation System PD+
The Derivation System PDE
Predicate Logic: Metatheory
Semantic Preliminaries for PD
Semantic Preliminaries for PLE
The Soundness of PD, PD+, and PDE
The Completeness of PD, PD+, and PDE
The Soundness of the Tree Method
The Completeness of the Tree Method Selected Bibliography Index

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