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Introduction to Logic and Critical Thinking
Published 2016Table of Contents: “…-- 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 exercisesGlossary/Index…”
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