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Logic: The Essentials 1st Edition

Patrick J. Hurley

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Overview

Packed with class-tested, proven practice exercises, LOGIC: THE ESSENTIALS concentrates on the fundaments of introductory logic. This first edition is designed for instructors who are challenged by time constraints, but who want to instill in their students a solid grasp of basic logical principles and the skill to apply them in everyday life. Based on Hurley's classic A CONCISE INTRODUCTION TO LOGIC, it focuses largely on deductive logic, but contains sufficient treatment of induction to provide a solid footing for informal fallacies. The result is a contemporary approach -- more focused, more practical, less theoretical -- built on a tradition of precise, elegant, and clear presentation of the subject matter of logic, both formal and informal.

Patrick J. Hurley, University of San Diego

Patrick Hurley was born in Spokane, Washington in 1942. He received his bachelor's degree in mathematics (with a second major in philosophy and a physics minor) 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. He retired from teaching in 2008, but continues his research and writing, including work on A Concise Introduction to Logic. 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.

MindTap® is the digital learning solution that powers students from memorization to mastery. It gives you complete control of your course—to provide engaging content, to challenge every individual, and to build their confidence. Empower students to accelerate their progress with MindTap.

Developed by teachers, Aplia assignments connect concepts to the real world and focus on the unique course challenges facing students. In the last 15 years, more than two billion answers have been submitted through Aplia, representing millions of students who have come to class more engaged and better prepared.

  • Addresses the needs of time-constrained instructors who want to impart a solid grasp of basic logical principles and the skills to apply them in everyday life.
  • Carefully sequenced exercises move students from simple to complex logical skills.
  • Concise explanations and clear examples reinforce student learning.
  • "Previews" sections use familiar examples to connect logical concepts to students' everyday lives.
  • Key terms in boldface type are defined in marginal boxes throughout the text for easy studying and review.

Logic: The Essentials

TABLE OF CONTENTS

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.

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