Introduction to Formal Logic with Philosophical Applications

Russell Marcus is Associate Professor of Philosophy at Hamilton College.

Preface:
Chapter 1. Introducing Logic
1.1: Defining "Logic"
1.2: Logic and Languages
1.3: A Short History of Logic
1.4: Separating Premises from Conclusions
1.5: Validity and Soundness
Key Terms:
Chapter 2. Propositional Logic: Syntax and Semantic
2.1: Logical Operators and Translation
2.2: Syntax of PL: Wffs and Main Operators
2.3: Semantics of PL: Truth Functions
2.4: Truth Tables
2.5: Classifying Propositions
2.6: Valid and Invalid Arguments
2.7: Indirect Truth Tables
Key Terms:
Chapter 3. Inference in Propositional Logic
3.1: Rules of Inference 1
3.2: Rules of Inference 2
3.3: Rules of Equivalence 1
3.4: Rules of Equivalence 2
3.5: Practice with Derivations
3.6: The Biconditional
3.7: Conditional Proof
3.8: Logical Truths
3.9: Indirect Proof
3.10: Chapter Review
Key Terms:
Chapter 4. Monadic Predicate Logic
4.1: Introducing Predicate Logic
4.2: Translation Using M
4.3: Syntax for M
4.4: Derivations in M
4.5: Quantifier Exchange
4.6: Conditional and Indirect Proof in M
4.7: Semantics for M
4.8: Invalidity in M
Key Terms:
Chapter 5. Full First-Order Logic
5.1: Translation Using Relational Predicates
5.2: Syntax, Semantics, and Invalidity in F
5.3: Derivations in F
5.4: The Identity Predicate: Translation
5.5: The Identity Predicate: Derivations
5.6: Translation with Functions
5.7: Derivations with Functions
Key Terms:
Chapter 6. Beyond Basic Logic
6.1: Notes on Translation with PL
6.2: Conditionals
6.3: Three-Valued Logics
6.4: Metalogic
6.5: Modal Logics
6.6: Notes on Translation with M
Key Terms:
Chapter 7. Logic and Philosophy
7.1: Deduction and Induction
7.2: Fallacies and Argumentation
7.3: Logic and Philosophy of Mind: Syntax, Semantics, and the Chinese Room
7.4: Logic and the Philosophy of Religion
7.5: Truth and Liars
7.6: Names, Definite Descriptions, and Logical Form
7.7: Logicism
Appendix on the Logical Equivalence of the Rules of Equivalence
Terms:
Solutions to Selected Exercises:
Glossary/Index: