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A First Course in Logic / Edition 1

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Overview

This first text in logic offers a unified presentation, showing relationships among topics and chapters by revisiting key examples and exercises. Exercises similar to those found on the Law School Admission Test (LSAT) are included. About one-half of the 2,000 examples and exercises are drawn from films, articles, and court rulings of interest to students. Writing exercises invite students to write papers on their own arguments. The author is affiliated with Brigham Young University. Annotation ©2004 Book News, Inc., Portland, OR
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Product Details

  • ISBN-13: 9780321108821
  • Publisher: Longman
  • Publication date: 6/5/2003
  • Edition number: 1
  • Pages: 556
  • Product dimensions: 7.52 (w) x 9.25 (h) x 0.39 (d)

Table of Contents

Each chapter contains: exercises, LSAT questions, "What Will I Learn in this Chapter?;" "Introduction;" "What Have I Learned in This Chapter?;" "How Can I Apply What I Have Learned?;" 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 Test Syllogisms for Invalidity.
Using Canons to Test Syllogisms for Invalidity.
Syllogistic Fallacies.
Enthymemes and Sorites.
Proofs for 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.
Strategy and Tactics.
Other Uses for Truth-Functional Proofs.
Truth-Functional Proofs.

6.Quantificational Logic.
Frege's Project.
Quantificational Notation: Monadic Predicates.
Quantificational Notation: Polyadic Predicates.
Relations.
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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