Logic Primer 2nd Edition by Colin Allen, Michael Hand ISBN 0262511266 9780262511261

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Product details:
ISBN 10: 0262511266
ISBN 13: 9780262511261
Author: Colin Allen, Michael Hand

Logic Primer 2nd Edition Table of contents:

1. Introduction to Logic

• What is Logic?
• Why Study Logic?
• The Role of Logic in Philosophy and Other Disciplines
• Logical Language and Notation

2. Propositional Logic

• Basic Concepts: Propositions, Truth Values, and Connectives
• Truth Tables
• Logical Equivalence
• Logical Implication and Consequence
• Validity and Soundness
• Methods of Proof: Direct Proof, Indirect Proof, and Reductio ad Absurdum

3. Rules of Inference and Formal Proofs

• The Role of Inference Rules in Proofs
• The Modus Ponens Rule
• The Modus Tollens Rule
• Other Rules of Inference: Disjunction, Conjunction, and Conditional Proofs
• Formal Proof Systems
• Proof Strategies and Techniques

4. Predicate Logic

• Introduction to Predicate Logic and Quantifiers
• Universal Quantification and Existential Quantification
• Translating Natural Language into Predicate Logic
• Validity and Soundness in Predicate Logic
• Proof Methods in Predicate Logic

5. Methods of Proof in Predicate Logic

• Direct Proof and Indirect Proof in Predicate Logic
• Universal Generalization and Existential Instantiation
• Rules for Quantifiers
• Proving Existential Statements

6. Logical Fallacies

• What is a Fallacy?
• Formal and Informal Fallacies
• Common Fallacies: Affirming the Consequent, Denying the Antecedent, False Dilemma
• Fallacies of Relevance, Ambiguity, and Presumption

7. The Logic of Relations

• Relational Statements and Their Analysis
• The Universal and Existential Quantifiers in Relation to Predicates
• Properties of Relations: Reflexivity, Symmetry, Transitivity
• Equivalence Relations and Partitions
• Functions and Their Logical Analysis

8. Completeness and Soundness

• Definitions of Completeness and Soundness in Logic
• The Completeness Theorem for Propositional Logic
• The Soundness Theorem for Propositional Logic
• Completeness and Soundness in Predicate Logic

9. Advanced Topics in Logic

• Modal Logic: Necessity and Possibility
• Temporal Logic: Logic of Time
• Intuitionistic Logic
• Non-Classical Logics and Their Applications

10. Applications of Logic

• Logic in Computer Science: Algorithms and Computational Logic
• Logic in Artificial Intelligence and Reasoning Systems
• Logic and Philosophy: Argumentation, Metaphysics, and Ethics
• Logic in Everyday Life: Critical Thinking and Problem Solving

11. Conclusion

• The Importance of Logical Thinking
• Recap of Key Concepts
• The Role of Logic in Further Studies and Practical Life

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