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A Concise Introduction to Logic

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Published by Open SUNY Textbooks in Geneseo, New York, United States of America .
Written in English.

About the Edition

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.

Table of Contents

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

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