# Introduction to Logic and Critical Thinking

Matthew Van Cleave, Lansing Community College

Pub Date: 2016

Publisher: Independent

Language: English

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## Conditions of Use

Attribution

CC BY

## Reviews

This is an excellent introductory (first-year) Logic and Critical Thinking textbook. The book covers the important elementary information, clearly discussing such things as the purpose and basic structure of an argument; the difference between an... read more

While the book is admirably comprehensive, its extensive details within a few short chapters may feel overwhelming to students. The author tackles an impressive breadth of concepts in Chapter 1, 2, 3, and 4, which leads to 50-plus-page chapters... read more

This text is a beginner textbook for arguments and propositional logic. It covers the basics of identifying arguments, building arguments, and using basic logic to construct propositions and arguments. It is quite comprehensive for a beginner... read more

This textbook covers enough topics for a first-year course on logic and critical thinking. Chapter 1 covers the basics as in any standard textbook in this area. Chapter 2 covers propositional logic and categorical logic. In propositional logic,... read more

This textbook is quite thorough--there are conversational explanations of argument structure and logic. I think students will be happy with the conversational style this author employs. Also, there are many examples and exercises using current... read more

This is a review of Introduction to Logic and Critical Thinking, an open source book version 1.4 by Matthew Van Cleave. The comparison book used was Patrick J. Hurley’s A Concise Introduction to Logic 12th Edition published by Cengage as well as... read more

## Table of Contents

Chapter 1: Reconstructing and analyzing arguments

- 1.1 What is an argument?
- 1.2 Identifying arguments
- 1.3 Arguments vs. explanations
- 1.4 More complex argument structures
- 1.5 Using your own paraphrases of premises and conclusions to reconstruct arguments in standard form
- 1.6 Validity
- 1.7 Soundness
- 1.8 Deductive vs. inductive arguments
- 1.9 Arguments with missing premises
- 1.10 Assuring, guarding, and discounting
- 1.11 Evaluative language
- 1.12 Evaluating a real-life argument

Chapter 2: Formal methods of evaluating arguments

- 2.1 What is a formal method of evaluation and why do we need them?
- 2.2 Propositional logic and the four basic truth functional connectives
- 2.3 Negation and disjunction
- 2.4 Using parentheses to translate complex sentences
- 2.5 “Not both” and “neither nor”
- 2.6 The truth table test of validity
- 2.7 Conditionals
- 2.8 “Unless”
- 2.9 Material equivalence
- 2.10 Tautologies, contradictions, and contingent statements
- 2.11 Proofs and the 8 valid forms of inference
- 2.12 How to construct proofs
- 2.13 Short review of propositional logic
- 2.14 Categorical logic
- 2.15 The Venn test of validity for immediate categorical inferences
- 2.16 Universal statements and existential commitment
- 2.17 Venn validity for categorical syllogisms

Chapter 3: Evaluating inductive arguments and probabilistic and statistical fallacies

- 3.1 Inductive arguments and statistical generalizations
- 3.2 Inference to the best explanation and the seven explanatory virtues
- 3.3 Analogical arguments
- 3.4 Causal arguments
- 3.5 Probability
- 3.6 The conjunction fallacy
- 3.7 The base rate fallacy
- 3.8 The small numbers fallacy
- 3.9 Regression to the mean fallacy
- 3.10 Gambler's fallacy

Chapter 4: Informal fallacies

- 4.1 Formal vs. informal fallacies
- 4.1.1 Composition fallacy
- 4.1.2 Division fallacy
- 4.1.3 Begging the question fallacy
- 4.1.4 False dichotomy
- 4.1.5 Equivocation
- 4.2 Slippery slope fallacies
- 4.2.1 Conceptual slippery slope
- 4.2.2 Causal slippery slope
- 4.3 Fallacies of relevance
- 4.3.1 Ad hominem
- 4.3.2 Straw man
- 4.3.3 Tu quoque
- 4.3.4 Genetic
- 4.3.5 Appeal to consequences
- 4.3.6 Appeal to authority

Answers to exercises

Glossary/Index

## About the Book

This is an introductory textbook in logic and critical thinking. The goal of thetextbook is to provide the reader with a set of tools and skills that will enablethem to identify and evaluate arguments. The book is intended for anintroductory course that covers both formal and informal logic. As such, it is nota formal logic textbook, but is closer to what one would find marketed as a“critical thinking textbook.”

## About the Contributors

### Author

**Matthew Van Cleave**,** **PhD, Philosophy, University of Cincinnati, 2007. VAP at Concordia College (Moorhead), 2008-2012. Assistant Professor at Lansing Community College, 2012-2016. Professor at Lansing Community College, 2016-