Introduction to Formal Logic with Philosophical Applications
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Introduction to Formal Logic with Philosophical Applications

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Description

Rigorous yet engaging and accessible, Introduction to Formal Logic with Philosophical Applications is composed of two parts. The first part (Chapters 1-5) provides a focused, "nuts-and-bolts" introduction to formal deductive logic that covers syntax, semantics, translation, and natural deduction for propositional and predicate logics. The second part (Chapters 6-7) presents stand-alone, student-friendly essays on logic and its application in philosophy and beyond, with writing prompts and suggestions for further readings. For instructors who prefer an exceptionally clear introduction to formal logic without the extra philosophical applications, Introduction to Formal Logic, an abbreviated, alternate version of Introduction to Formal Logic with Philosophical Applications, is also available.
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Product details

  • Paperback | 624 pages
  • 190.5 x 233.68 x 22.86mm | 1,038.73g
  • New York, United States
  • English
  • Illustrations, unspecified
  • 019938648X
  • 9780199386482

Table of contents

Preface:
Chapter 1. Introducing Logic
1.1: Defining "Logic"
1.2: Logic and Languages
1.3: A Short History of Logic
1.4: Separating Premises from Conclusions
1.5: Validity and Soundness
Key Terms:
Chapter 2. Propositional Logic: Syntax and Semantic
2.1: Logical Operators and Translation
2.2: Syntax of PL: Wffs and Main Operators
2.3: Semantics of PL: Truth Functions
2.4: Truth Tables
2.5: Classifying Propositions
2.6: Valid and Invalid Arguments
2.7: Indirect Truth Tables
Key Terms:
Chapter 3. Inference in Propositional Logic
3.1: Rules of Inference 1
3.2: Rules of Inference 2
3.3: Rules of Equivalence 1
3.4: Rules of Equivalence 2
3.5: Practice with Derivations
3.6: The Biconditional
3.7: Conditional Proof
3.8: Logical Truths
3.9: Indirect Proof
3.10: Chapter Review
Key Terms:
Chapter 4. Monadic Predicate Logic
4.1: Introducing Predicate Logic
4.2: Translation Using M
4.3: Syntax for M
4.4: Derivations in M
4.5: Quantifier Exchange
4.6: Conditional and Indirect Proof in M
4.7: Semantics for M
4.8: Invalidity in M
Key Terms:
Chapter 5. Full First-Order Logic
5.1: Translation Using Relational Predicates
5.2: Syntax, Semantics, and Invalidity in F
5.3: Derivations in F
5.4: The Identity Predicate: Translation
5.5: The Identity Predicate: Derivations
5.6: Translation with Functions
5.7: Derivations with Functions
Key Terms:
Chapter 6. Beyond Basic Logic
6.1: Notes on Translation with PL
6.2: Conditionals
6.3: Three-Valued Logics
6.4: Metalogic
6.5: Modal Logics
6.6: Notes on Translation with M
Key Terms:
Chapter 7. Logic and Philosophy
7.1: Deduction and Induction
7.2: Fallacies and Argumentation
7.3: Logic and Philosophy of Mind: Syntax, Semantics, and the Chinese Room
7.4: Logic and the Philosophy of Religion
7.5: Truth and Liars
7.6: Names, Definite Descriptions, and Logical Form
7.7: Logicism
Appendix on the Logical Equivalence of the Rules of Equivalence
Terms:
Solutions to Selected Exercises:
Glossary/Index:
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Review quote

"Introduction to Formal Logic with Philosophical Applications is a superb treatment of the subject. It is unusually lucid, meeting students where they are and guiding them in a step-by-step manner through the rigors of symbolic logic. All of this without sacrificing the kind of detail and precision that is a sine qua non for textbooks of this kind."--Michael Futch, University of Tulsa


"This is a superb treatment of formal logic. In my opinion, it's not too difficult and not too easy."--Leemon McHenry, California State University, Northridge


"This is a book that enables students to become comfortable with the basics of logic while also allowing them to understand why they are doing logic."--Andrew Winters, Slippery Rock University of Pennsylvania


"Hurley has the advantage of breadth, but lacks the depth, whereas Hausman has depth, but lacks the clarity of Marcus. Chapter 7 is my favorite chapter, as Marcus addresses philosophical issues of logic. What I like is that this chapter can be used throughout the semester. And I loved the paper topics suggested throughout the book."--Reginald Raymer, University of North Carolina, Charlotte


"Introduction to Formal Logic with Philosophical Applications is better than what I now use. It's an excellent introductory text--precise, detailed, and clear, with lots of exercises and a wealth of interesting supplementary material."--Jeff Buechner, Rutgers University, Newark


"Marcus's text is invitingly written, lucid, and often intuitive, providing students with easy-to-follow conceptual development. None of this, however, comes at the expense of a thorough presentation and suitable opportunities to practice."--Mia Wood, Pierce College


"Introduction to Logic with Philosophical Applications does an excellent job of addressing the connections between logic and philosophy. It is thorough and rigorous in presentation, yet the prose is conversational and easy to follow. The tone is appropriately conversational and engaging, and the explanations are clear. Pedagogically, the book is excellent. The very large number of exercises at the end of each section is one of the very first things that stood out to me. This will give students plenty of exercise in learning to use logic. I am also always concerned about pricing for my students. The fact that Introduction to Logic with Philosophical Applications is $50.00 less than The Logic Book definitely counts in this text's favor."--Joseph Long, The College at Brockport, State University of New York
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About Russell Marcus

Russell Marcus is Associate Professor of Philosophy at Hamilton College.
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