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First Course in Logic, Gold Edition, A
K. Codell Carter, Brigham Young University

ISBN-10: 0321277325
ISBN-13:  9780321277329

Publisher:  Pearson
Copyright:  2004
Format:  Paper; 560 pp
Published:  07/14/2004
Status: Instock


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Description

Providing students with a more understandable introduction to logic without sacrificing rigor, A First Course in Logic presents topics and methods in a highly accessible and integrated manner.

Consistent pedagogical structure helps students learn and study better; the introduction now emphasizes strategies and tactics for applying memorization rules; and one-of-a-kind LSAT-type exercises apply logic to pre-professional exams.

This new Gold Edition of the text now uses standard notation–the horseshoe in symbolizing conditionals, and the traditional approach using syllogisms–to adapt more easily to most classrooms. In addition, it has been thoroughly class-tested, revised, and reprinted for absolute accuracy of information.

 


Features

  • Free Access to MyLogicLab with Tutor Center. This powerful pincode protected Website provides worked-out exercises from the text, with feedback and three logic tools, including a “Proof Checker” that allows students to create their own proofs and have them graded by the computer; a “Venn Diagram Checker” which constructs two- and three-circle Venn diagrams, and a “Truth Table Generator” which constructs all sizes of truth tables to assess arguments. Also includes the complete text electroincally, narrated audio PowerPoint presentations, review quizzes, and flashcards. Access to a qualified, live tutor is available free of charge Sunday through Thursday, 5pm to midnight via phone, email, or fax, through our Tutor Center.
  • UNIQUE! Integration of syllogistic, truth-functional, and quantificational logic. Throughout, the three types of arguments are integrated to help students understand how they relate to each other and which type of logic to use. See: p. 356, Quantificational Notation in Comparison to the Notations of Our Earlier System; p. 254-258, Truth-functional Arguments and Syllogisms.
  • UNIQUE! Explicitly covers both Refutation (1.6) and Proof (1.7) and reinforces them throughout the book as ways to evaluate arguments, using and contrasting both methods with regard to Venn diagrams (p. 179) syllogistic proofs (p.174); truth tables (p. 226: 4.6) truth functional logic (p. 271: 5.1); and quantificational logic (p. 365).
  • Hundreds of real-life examples and exercises, revisited throughout the text. Includes approximately 1,400 exercises and 600 examples, with more examples from real-life sources such as films, editorials, literature, college texts, etc. for greater appeal to students. [See p. 101, 192, 209, 380.] Many examples and exercises are used again in different parts of the book to help students connect and contrast the different methods and to help them see the utility and limitations of each method. [See: p. 9 (#3) is used again in Chapters 2 (p. 97: 2.7.II) and 5 (p. 291: #13).]
  • UNIQUE! LSAT Questions. Questions similar to those on the LSAT Exam give students valuable practice. Highlighted with LSAT icon, 10 exercises at the end of each chapter are followed by explanations. See p. 51-56.
  • Basic Rules for Construction of Proofs. Presents only 8 basic rules to memorize, making it easier for students to apply them. Rules are introduced in small "chunks" (1 or 2 at a time) and immediately followed by explanations, examples, and exercises. Strategies and Tactics show how to use the rules. See: p. 274-278; p. 278-280; and p. 280. Additional “Shortcut Rules” follow.
  • UNIQUE! Coverage of Fallacies. Unlike other texts, fallacies are covered in different parts of the book so that students have the knowledge needed to understand different types of fallacies. [See Sections 2.7; 3.7; 4.7; 7.6.]
  • Historical Coverage. More and clearer coverage of the history of logic includes highlighted Enrichment sections with material on the historical origins of syllogistic, truth functional, and quantificational logic. See: p. 191, Stoic Logic; p.350, Frege's Project; p. 389 outcome of Frege's Project.
  • UNIQUE! Pedagogy. One-of-a-kind pedagogy in all chapters help students study and learn:

    • What Will I Learn in This Chapter? Each chapter opens with a brief preview of the main points in the chapter. See page 1 and the beginning of each chapter.

    • What Have I Learned in This Chapter? Each chapter has a summary of major topics. See pp. 49 and the end of each chapter.

    • How Can I Apply What I Have Learned in This Chapter? This chapter-ending section helps students use concepts to find arguments in real-life sources, criticize real-life arguments given in the text, write papers, and respond to LSAT-type questions. See pp. 50-51, and the end of each chapter.

    • Where Do I Go from Here? Each chapter ends with suggestions about which chapters or sections to study next. See p. 56 and the end of each chapter.


Table of Contents

This tentative table of contents is for early review purposes; the final contents may not include all of the selections listed here. Each chapter contains: exercises, LSAT questions, “What Will I Learn in This Chapter?;”  “What Have I Learned in This Chapter?;”  “How Can I Apply What I Have Learned in This Chapter?;” and “Where Do I Go from Here?”

1. Basic Concepts of Logic.

Arguments.

The Historical Roots of Logic.

Induction and Deduction.

Validity and Soundness.

Logical Strength and Cogency.

Refutation.

Proof.



2. Logic and Language.

Use and Mention.

The Uses of Language.

Kinds of Definitions.

Ways of Defining.

Rules for Lexical Definitions.

Arguments in Context.

Fallacies.



3. Syllogistic Logic.

Aristotelian Logic.

Diagramming and Symbolizing Categorical Statements.

Categorical Equivalences.

Syllogisms.

Using Venn Diagrams to Refute Invalid Syllogisms.

Using Canons to Test Syllogisms for Invalidity.

Syllogistic Fallacies.

Enthymemes and Sorites.

Proofs of Valid Syllogisms.

The Limits of Syllogistic Logic.



4. Truth-functional Logic: Symbolization and Refutation.

Stoic Logic.

Symbolizing Truth-functional Arguments.

Truth Tables.

Classifying and Comparing Statements.

Implication and Equivalence.

Refuting Invalid Truth-functional Arguments.

Truth-functional Fallacies.

The Sheffer Arrow.



5. Truth-functional Logic: Proofs

Statement-Forms and Their Instances.

Modus Ponens and Rules for Conjunctions, Disjunctions and Biconditionals.

Conditional Proof.

Indirect Proof.

Shortcut Rules.

Shortcut Rules, Continued.

Strategies and Tactics.

Other Uses for Truth-functional Proofs.

The Nature of Truth-functional Proofs.



6. Quantificational Logic.

Frege's Project.

Quantificational Notation: Monadic Predicates.

Quantificational Notation: Polyadic Predicates.

Quantificational Proofs.

The Nature of Quantificational Logic.

Properties of Relations and Second-Order Logic.

The Outcome of Frege's Project.



7. Inductive Logic.

Inductive Arguments.

Appeal to Authority.

Argument by Analogy.

The Strength of Inductive Arguments.

Hypothesis and Confirmation.

Causal Reasoning.

Argument by Generalization.

Samples.

Probabilistic Reasoning.



Solutions to Starred Exercises.


Glossary/Index.



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Author Bios

K. Codell Carter believes that teaching should be a conversation between friends, and he wrote A First Course in Logic to reflect this ideal. He has taught more than four thousand beginning logic students throughout his teaching career.

Carter is currently a professor at Brigham Young University where, in addition to logic courses, he teaches courses on the history of philosophy (especially Kant and Marx) along with freshman and junior level writing courses. He received his Bachelor of Science in Mathematics and his Masters of Arts in Philosophy from the University of Utah and holds a Ph.D. in Philosophy from Cornell University.

His publications include works on 19th and 20th Century medicine, and when not thinking about ways to make the study of logic more relevant to students' lives, he enjoys backpacking, gardening, fly fishing, old books, and mountain lakes above the timberline.

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