The Critical Thinking Toolkit

Galen Foresman is Associate Professor of Philosophy at North Carolina Agricultural and Technical State University, USA. His research interests include ethics, philosophy of punishment, philosophy of religion, and philosophy as it applies to pop culture. He is the author of several book chapters and the editor of Supernatural and Philosophy (Wiley Blackwell, 2013). Peter S. Fosl is Professor and Chair of Philosophy and Chair of Philosophy, Politics, and Economics at Transylvania University, USA. A David Hume Fellow at the University of Edinburgh, his research interests include skepticism and the history of philosophy, as well as topics in politics and religion. He is author or editor of many books, including The Big Lebowski and Philosophy (Wiley Blackwell, 2012), The Philosopher's Toolkit, 2nd ed. (Wiley Blackwell, 2010), and The Ethics Toolkit (Wiley Blackwell, 2007). He is also Editor-in-Chief of the Open Access academic journal Cogent OA: Arts & Humanities. Jamie Carlin Watson is Assistant Professor of Philosophy at Broward College, USA. His primary research is in the social epistemology of epistemic advantage and expertise, especially as they influence testimony in practical fields such as medicine and business. He has published articles in journals such as Episteme and Journal of Applied Philosophy, and is the co-author of Critical Thinking: An Introduction to Reasoning Well, 2nd ed. (2015), What's Good on TV? Understanding Ethics through Television (Wiley Blackwell, 2011), and Philosophy Demystified (2011).

Acknowledgments xv Introduction The Very Idea of Critical Thinking 1 Critical thinking in the formal and empirical sciences 2 Critical thinking, critical theory, and critical politics 4 Critical thinking, finitude, and self-understanding 5 Using this book 5 Basic Tools for Critical Thinking about Arguments 1.1 Claims 7 Beliefs and opinions 8 Simple and complex claims 9 Truth functionality 10 1.2 Arguments 11 Logic vs. eristics 12 Arguments vs. explanations 12 1.3 Premises 13 Enthymemes 14 Identifying premises 14 1.4 Conclusions 16 Argument structure 16 Simple and complex arguments 16 Identifying conclusions 17 More Tools for Critical Thinking about Arguments 2.1 Deductive and Inductive Arguments 19 Deduction 20 Induction 21 2.2 Conditional Claims 22 Necessary and sufficient conditions 23 Biconditional claims 25 2.3 Classifying and Comparing Claims 26 Comparing claims 26 Classifying single claims 28 2.4 Claims and Definitions 29 Lexical, stipulative, ostensive, and negative definition 30 Extension and intension 30 Generic similarities and specific differences 31 Definiens and definiendum 31 2.5 The Critical Thinkers Two Step: Validity and Soundness/Cogency and Strength 32 Structure before truth 33 2.6 Showing Invalidity by Counterexample 35 Tools for Deductive Reasoning with Categories 3.1 Thinking Categorically 39 Types and tokens 39 3.2 Categorical Logic 40 Quality, quantity, and standard form 40 Venn diagrams and the meaning of categorical claims 42 Distribution and its implications 44 Existential import 45 3.3 Translating English Claims to Standard Form 46 Implicit quantifiers 46 Individuals 47 Getting the verb right 47 Adverbials 48 Trust your instincts 50 A caveat 50 3.4 Formal Deduction with Categories: Immediate Inferences 50 Equivalences 51 Conversion 52 Contraposition 53 Obversion 56 The Aristotelian and Boolean Squares of Opposition 58 3.5 Formal Deduction with Categories: Syllogisms 63 Categorical syllogisms 64 Major and minor terms 64 Mood and figure 65 The Venn diagram test for validity 66 Five easy rules for evaluating categorical syllogisms 69 Gensler star test 70 Tools for Deductive Reasoning with Claims 4.1 Propositional vs. Categorical Logics 72 Translating claims into propositional logic 73 Truth tables for claims 76 Testing for validity and invalidity with truth tables 78 Indirect truth tables 79 Strange validity 82 4.2 Common Deductively Valid Forms 83 Modus ponens 83 Modus tollens 84 Hypothetical syllogism 86 Disjunctive syllogism 86 Constructive and destructive dilemmas 87 4.3 Equivalences 90 Double negation 90 Tautology 91 Commutativity 91 Associativity 92 Transposition 92 Material implication 93 Material equivalence 93 Exportation 94 Distribution 95 DeMorgans Law 95 4.4 Formal Deduction with Forms and Equivalences 96 Three simple rules 97 4.5 Common Formal Fallacies 101 Affirming the consequent 101 Denying the antecedent 103 Affirming a disjunct 104 Tools for Detecting Informal Fallacies 5.1 Critical Thinking, Critical Deceiving, and the Two Step 107 5.2 Subjectivist Fallacy 109 5.3 Genetic Fallacies 112 5.4 Ad Hominem Fallacies: Direct, Circumstantial, and Tu Quoque 113 Direct 114 Circumstantial 115 Tu quoque 118 5.5 Appeal to Emotions or Appeal to the Heart (argumentum ad passiones) 120 Appeal to pity (argumentum ad misericordiam) 120 Appeal to fear (argumentum ad metum) 122 Appeal to guilt 122 5.6 Appeal to Force (argumentum ad baculum) 124 5.7 Appeal to Ignorance (argumentum ad ignorantiam) 125 Negative evidence and no evidence 126 5.8 Appeal to Novelty (argumentum ad novitatem) 127 5.9 Appeal to the People (argumentum ad populum) 128 Bandwagon 128 Appeal to snobbery 129 Appeal to vanity 129 5.10 Appeal to Unqualified Authority (argumentum ad verecu