Elementary Logic explains what logic is, how it is done, and why it can be exciting. The book covers the central part of logic that all students have to learn: propositional logic. It aims to provide a crystal-clear introduction to what is often regarded as the most technically difficult area in philosophy. The book opens with an explanation of what logic is and how it is constructed. Subsequent chapters take the reader step-by-step through all aspects of elementary logic. Throughout, ideas are explained simply and directly, with the chapters packed with overviews, illustrative examples, and summaries. Each chapter builds on previous explanation and example, with the final chapters presenting more advanced methods. After a discussion of meta-logic and logical systems, the book closes with an exploration of how paradoxes can exist in the world of logic. Elementary Logic's clarity and engagement make it ideal for any reader studying logic for the first time.
Brian Garrett is Senior Lecturer in Philosophy at the Australian National University. His books include Personal Identity and Self-consciousness and What is this Thing called Metaphysics?
1. What is Logic? 2. Logical Connectives and Truth Tables 3. Conditionals and modus ponens 4. Conjunction 5. Conditional Proof 6. Solutions to Selected Exercises I 7. Negation 8. Disjunction 9. Biconditional 10. Solutions to Selected Exercises II 11. Derived Rules 12. Truth Trees 13. Logical Reflections 14. Logic and Paradoxes