The Power of Logic

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  • Edition: 4th
  • Format: Paperback
  • Copyright: 10/30/2008
  • Publisher: McGraw-Hill Humanities/Social Sciences/Languages
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This brief and flexible introductory level text is designed to illustrate the power of logic as a tool for critical thinking in various facets of life by increasing students' ability to understand, analyze, evaluate, and construct arguments.The Power of Logicprovides balanced coverage of informal logic, traditional categorical logic, and modern symbolic logic. The authors' direct and accessible writing style, along with a wealth of relevant examples and imaginative exercises, make this an ideal text for today's logic classes.

Table of Contents

Basic Concepts
Validity and Soundness
Forms and Validity
Counterexamples and Invalidity
Strength and Cogency
Identifying Arguments
Arguments and Nonarguments
Well-Crafted Arguments
Argument Diagrams
Logic and Language
Logic, Meaning, and Emotive Force
Using Definitions to Evaluate Arguments
Informal Fallacies
Fallacies of Irrelevance
Fallacies Involving Ambiguity
Fallacies Involving Unwarranted Assumptions
Categorical Logic: Statements
Standard Forms of Categorical Statements
The Traditional Square of Opposition
Further Immediate Inferences
Categorical Logic: Syllogisms
Standard Form, Mood, and Figure
Venn Diagrams and Categorical Statements
Venn Diagrams and Categorical Syllogisms
The Modern Square of Opposition
Sorites and Removing Term-Complements
Rules for Evaluating Syllogisms
Statement Logic: Truth Tables
Symbolizing English Arguments
Truth Tables
Using Truth Tables to Evaluate Arguments
Abbreviated Truth Tables
Logically Significant Categories and Relationships
Statement Logic: Proofs
Implicational Rules of Inference
Five Equivalence Rules
Five More Equivalence Rules
Conditional Proof
Reductio ad Absurdum
Proving Theorems
Predicate Logic
Predicates and Quantifiers
Demonstrating Invalidity
Constructing Proofs
Quantifier Negation, RAA, and CP
The Logic of Relations: Symbolizations
The Logic of Relations: Proofs
Identity: Symbolizations
Identity: Proofs
Inductive and Deductive Logic: Contrasts and Clarifications
Arguments from Authority and Induction by Enumeration
Mill's Methods and Scientific Reasoning
Arguments from Analogy
Three Theories of Probability
The Rules of Probability
Bayes' Theorem
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