A Concise Introduction to Logic



A Concise Introduction to Logic is an introduction to formal logic suitable for undergraduates taking a general education course in logic or critical thinking, and is accessible and useful to any interested in gaining a basic understanding of logic.  This text takes the unique approach of teaching logic through intellectual history; the author uses examples from important and celebrated arguments in philosophy to illustrate logical principles.  The text also includes a basic introduction to findings of advanced logic.  As indicators of where the student could go next with logic, the book closes with an overview of advanced topics, such as the axiomatic method, set theory, Peano arithmetic, and modal logic.  Throughout, the text uses brief, concise chapters that readers will find easy to read and to review.

The presentation of concepts and principles is orderly, clear and thought provoking. Many topics are introduced with examples of philosophical arguments drawn from classic sources, adding depth of knowledge to an introductory course. – Adam Kovach, Associate Professor of Philosophy at Marymount University



0. Introduction

Part I: Propositional Logic

1. Developing a Precise Language
2. “If…then….” and “It is not the case that….”
3. Good Arguments
4. Proofs
5. “And”
6. Conditional Derivations
7. “Or”
8. Reductio ad Absurdum
9. “… if and only if …”, Using Theorems
10. Summary of Propositional Logic

Part II: First Order Logic

11. Names and predicates
12. “All” and “some”
13. Reasoning with quantifiers
14. Universal derivation
15. Relations, functions, identity, and multiple quantifiers
16. Summary of first order logic

Part III: A Look Forward

17. Some advanced topics in logic

Craig DeLancey

Craig DeLancey is Professor of Philosophy and Chair of the Department of Philosophy at SUNY Oswego. He received his Ph.D. from Indiana University. His publications include Passionate Engines: What Emotions Reveal about the Mind and Artificial Intelligence, with Oxford University Press. He has been a fellow of the Center for the Philosophy of Science at the University of Pittsburgh, a fellow of the National Endowment of the Humanities, and has received research funding from the Army Institute of Basic Research. When not teaching philosophy or doing research, he writes science fiction.