A Concise Introduction to Logic

A Concise Introduction to Logic

By Craig DeLancey
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Book Description

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
  • Cover
  • Title Page
  • Copyright
  • Dedication
  • Table Of Contents
  • About the Textbook
  • Reviewer's Notes
  • 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
  • Bibliography
  • About the Author
  • About Open SUNY Textbooks
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