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    Introduction to Logic and Critical Thinking

    (10 reviews)

    Matthew Van Cleave, Lansing Community College

    Copyright Year:

    Publisher: Matthew J. Van Cleave

    Language: English

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    CC BY

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    Reviewed by "yusef" Alexander Hayes, Professor, North Shore Community College on 6/9/21

    Formal and informal reasoning, argument structure, and fallacies are covered comprehensively, meeting the author's goal of both depth and succinctness. read more

    Reviewed by Susan Rottmann, Part-time Lecturer, University of Southern Maine on 3/2/21

    I reviewed this book for a course titled "Creative and Critical Inquiry into Modern Life." It won't meet all my needs for that course, but I haven't yet found a book that would. I wanted to review this one because it states in the preface that it... read more

    Reviewed by Daniel Lee, Assistant Professor of Economics and Leadership, Sweet Briar College on 11/11/19

    This textbook is not particularly comprehensive (4 chapters long), but I view that as a benefit. In fact, I recommend it for use outside of traditional logic classes, but rather interdisciplinary classes that evaluate argument read more

    Reviewed by Lisa N. Thomas-Smith, Graduate Part-time Instructor, CU Boulder on 7/1/19

    The text covers all the relevant technical aspects of introductory logic and critical thinking, and covers them well. A separate glossary would be quite helpful to students. However, the terms are clearly and thoroughly explained within the text,... read more

    Reviewed by Leslie Aarons, Associate Professor of Philosophy, CUNY LaGuardia Community College on 5/16/19

    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

    Reviewed by Jennie Harrop, Chair, Department of Professional Studies, George Fox University on 3/27/18

    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

    Reviewed by Yoichi Ishida, Assistant Professor of Philosophy, Ohio University on 2/1/18

    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

    Reviewed by Payal Doctor, Associate Professro, LaGuardia Community College on 2/1/18

    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

    Reviewed by Rebecca Owen, Adjunct Professor, Writing, Chemeketa Community College on 6/20/17

    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

    Reviewed by Laurel Panser, Instructor, Riverland Community College on 6/20/17

    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

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    About the Book

    This is an introductory textbook in logic and critical thinking. The goal of the textbook is to provide the reader with a set of tools and skills that will enable them to identify and evaluate arguments. The book is intended for an introductory course that covers both formal and informal logic. As such, it is not a 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-

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