The logic book
著者
書誌事項
The logic book
McGraw-Hill, 2009
5th ed., international ed.
- : pbk.
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注記
"This international edition is not to be sold or purchased in North America and Content that is different from its North American version" on cover
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
Chapter 1: Basic Notions of Logic1.1 Background1.2 Why Study Logic1.3 Sentences, Truth-Values, and Arguments1.4 Deductive Validity and Soundness1.5 Inductive Arguments1.6 Logical Consistency, Truth, Falsity, and Equivalence1.7 Special Cases of ValidityChapter 2: Sentential Logic: Symbolization and Syntax2.1 Symbolization and Truth-Functional Connectives2.2 Complex Symbolizations2.3 Non-Truth-Functional Connectives2.4 The Syntax of SLChapter 3: Sentential Logic: Semantics3.1 Truth-Value Assignments and Truth-Tables for Sentences3.2 Truth-Functional Truth, Falsity, and Indeterminacy3.3 Truth-Functional Equivalence3.4 Truth-Functional Consistency3.5 Truth-Functional Entailment and Truth-Functional Validity3.6 Truth-Functional Properties and Truth-Functional ConsistencyChapter 4: Sentential Logic: Truth-Trees4.1 The Truth-Tree Method4.2 Truth-Tree Rules for Sentences Containing 'tilde', 'wedge', and 'ampersand'4.3 Rules for Sentences Containing 'horseshoe' and 'triple bar'4.4 More Complex Truth-Trees4.5 Using Truth-Trees to Test for Truth-Functional Truth, Falsity, and Indeterminacy4.6 Truth-Functional Equivalence4.7 Truth-Functional Entailment and Truth-Functional ValidityChapter 5: Sentential Logic: Derivations5.1 The Derivation System SD5.2 Applying the Derivation Rules of SD5.3 Basic Concepts of SD5.4 Strategies for Constructing Derivations in SD5.5 The Derivation System SD+ Chapter 6: Sentential Logic: Metatheory6.1 Mathematical Induction6.2 Truth-Functional Completeness6.3 The Soundness of SD and SD+6.4 The Completeness of SD and SD+Chapter 7: Predicate Logic: Symbolization and Syntax7.1 The Limitations of SL7.2 Predicates, Individual Constants, and Quantity Terms of English7.3 Introduction to PL7.4 Quantifiers Introduced7.5 The Formal Syntax of PL7.6 A-, E-, I-, and O-Sentences7.7 Symbolization Techniques7.8 Multiple Quantifiers with Overlapping Scope7.9 Identity, Definite Descriptions, and Properties of Relations, and FunctionsChapter 8: Predicate Logic: Semantics8.1 Informal Semantics for PL8.2 Quantificational Truth, Falsehood, and Indeterminacy8.3 Quantificational Equivalence and Consistency8.4 Quantification Entailment and Validity8.5 Truth-Functional Expansions8.6 Semantics for Predicate Logic with Identity and Functors8.7 Formal Semantics of PL and PLEChapter 9: Predicate Logic: Truth-Trees9.1 Expanding the Rules for Truth-Trees9.2 Truth-Trees and Quantificational Consistency9.3 Truth-Trees and Other Semantic Properties9.4 Trees for PLE9.5 Fine-Tuning the Tree MethodChapter 10: Predicate Logic: Derivations10.1 The Derivation System PD10.2 Applying the Derivation Rules of PD10.3 Basic Concepts of PD10.4 Strategies for Constructing Derivations in PD10.5 The Derivation System PD+10.6 The Derivation System PDEChapter 11: Predicate Logic: Metatheory11.1 Semantic Preliminaries for PD11.2 Semantic Preliminaries for PLE11.3 The Soundness of PD, PD+, and PDE11.4 The Completeness of PD, PD+, and PDE11.5 The Soundness of the Tree Method11.6 The Completeness of the Tree MethodSelected BibliographyIndex
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