Logic

Patrick Hurley received his bachelor's degree in mathematics (with a second major in philosophy and a minor in physics) from Gonzaga University in 1964 and his Ph.D. in philosophy of science with an emphasis in history of philosophy from Saint Louis University in 1973. In 1972, he began teaching at the University of San Diego, where his courses included logic, philosophy of science, metaphysics, process philosophy and legal ethics. In 1987, he received his J.D. from the University of San Diego, and he is currently a member of the California Bar Association. Retiring from teaching in 2008, Dr. Hurley continues his research and writing, including work on A CONCISE INTRODUCTION TO LOGIC and RELIGION, POWER AND ILLUSION (Prometheus Books, 2022). His interests include music, art, opera, environmental issues, fishing and skiing. He is married to Dr. Linda Peterson, who retired from teaching philosophy at the University of San Diego in 2015.

• Preface.1. BASIC CONCEPTS.Arguments, Premises, and Conclusions. Recognizing Arguments. Deduction and Induction. Validity, Truth, Soundness, Strength, Cogency. Argument Forms: Proving Invalidity.2. INFORMAL FALLACIES.Fallacies in General. Fallacies of Relevance. Fallacies of Weak Induction. Fallacies of Presumption, Ambiguity, and Illicit Transference. Fallacies in Ordinary Language.3. CATEGORICAL PROPOSITIONS.The Components of Categorical Propositions. Quality, Quantity, and Distribution. Venn Diagrams and the Modern Square of Opposition. Conversion, Obversion, and Contraposition. The Traditional Square of Opposition. Translating ordinary Language Statements into Categorical Form.4. CATEGORICAL SYLLOGISMS.Standard Form, Mood, and Figure. Venn Diagrams. Rules and Fallacies. Reducing the Number of Terms. Ordinary Language Arguments. Enthymemes. Sorites.5. PROPOSITIONAL LOGIC.Symbols and Translation. Truth Functions. Truth Tables for Propositions. Truth Tables for Arguments. Indirect Truth Tables. Argument Forms and Fallacies.6. NATURAL DEDUCTION IN PROPOSITIONAL LOGIC.Rules of Implication I. Rules of Implication II. Rules of Replacement I. Rules of Replacement II. Conditional Proof. Indirect Proof. Proving Logical Truths.7. PREDICATE LOGIC.Symbols and Translation. Using the Rules of Inference. Quantifier Negation Rule. Conditional and Indirect Proof. Proving Invalidity.Answers to Selected Exercises.Glossary/Index.