Logic and Problems

Written in a conversational tone chock full of sarcasm and humor, Logic and Problems aims to make logic a living subject for students. The publication is written to change the way that students think. By incorporating examples, debates, and more real life applications of logic, Logic and Problems brings logic to life for today's students. Available in print and eBook formats, Logic and Problems: Provides a solid foundation for the dynamics of a classroom where the professor and students engage each other in dialogue. Emphasizes that logic matters, that it solves problems, and that it helps people solve problems. Introduces every major logical innovation as a response to a problem. Goes beyond typical logic books by providing a narrative that links mechanism to mechanism. Presents the usual list of fallacies and examples, while explaining the allure of fallacious reasoning, to help students see how they are prone to these mistakes.  Is flexible! Instructors are encouraged to generate material such as picking timely topics for debates, bringing in noteworthy editorials or letters to the editor, and issues that are relevant to one's students and community.

Table of Contents:
CHAPTER 1 Arguments and Non-Arguments 1.1 Introduction 1.2 Rational, Arational, and Irrational CHAPTER 2 Informal Fallacies 2.1 Introduction 2.2 Straw Man 2.3 Ad Hominem 2.4 Post Hoc ergo Propter Hoc 2.5 Appeal to Ignorance 2.6 Begging the Question 2.7 Complex Question 2.8 False Dilemma 2.9 Composition and Division CHAPTER 3 Lesser Fallacies 3.1 Introduction 3.2 Appeal to Force (ad baculum) 3.3 Appeal to Pity (ad misericordiam) 3.4 Appeal to the People (ad populum) 3.5 Appeal to Unreliable Authority 3.6 Fallacies of Meaning CHAPTER 4 Standard Form 4.1 Introduction 4.2 Identify Premises, Subconclusions, and Conclusions 4.3 Providing Justification for Each Line in the Argument 4.4 Eliminating Unnecessary Words, Phrases, and Sentences 4.5 Rewriting Statements in Straightforward Logical Form 4.6 Eliminating Stylistic Variants of the Same Claim 4.7 Make Explicit Any Implicit Premises CHAPTER 5 Constructing Counterexamples 5.1 Introduction 5.2 Deductive Arguments 5.3 Inductive Arguments 5.4 The Counterexample Method 5.5 Argument Forms and Counterexamples 5.6 Universal and Particular Statements CHAPTER 6 Venn Diagrams 6.1 Introduction 6.2 Constructing Venn Diagrams to Represent Statements 6.3 Constructing Venn Diagrams to Represent Arguments CHAPTER 7 Truth Tables 7.1 Introduction 7.2 Symbolizing Statements 7.3 Function 1: Defining Truth Conditions For Compound Statements 7.4 Function 2: Complex Statements 7.5 Function 3: Determining Validity 7.6 Abbreviated Truth Tables CHAPTER 8 Statement Logic 8.1 Introduction 8.2 Common Argument Forms 8.3 Slippery Slope Arguments 8.4 Applying The Inferences CHAPTER 9 Equivalence Rules 9.1 Introduction 9.2 Simple Equivalence Rules 9.3 Interesting Equivalence Rules CHAPTER 10 Indirect Proofs 10.1 Introduction 10.2 Conditional Proof (Cp) 10.3 Reductio Ad Absurdum (Raa) 10.4 Embedded Indirect Proofs CHAPTER 11 Predicate Logic Translations 11.1 Introduction 11.2 Syntax 11.3 Monadic Predicate Logic 11.4 Polyadic Predicate Logic 11.5 TRANSLATIONS WITH IDENTITY CHAPTER 12 Predicate Logic Proofs 12.1 Introduction 12.2 Rules for Quantifiers 12.3 Identity Inference Rule Appendix