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Basic Concepts | |
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Validity and Soundness | |
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Forms and Validity | |
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Counterexamples and Invalidity | |
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Strength and Cogency | |
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Identifying Arguments | |
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Arguments and Nonarguments | |
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Well-Crafted Arguments | |
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Argument Diagrams | |
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Logic and Language | |
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Logic, Meaning, and Emotive Force | |
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Definitions | |
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Using Definitions to Evaluate Arguments | |
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Informal Fallacies | |
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Fallacies of Irrelevance | |
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Fallacies Involving Ambiguity | |
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Fallacies Involving Unwarranted Assumptions | |
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Categorical Logic: Statements | |
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Standard Forms of Categorical Statements | |
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The Traditional Square of Opposition | |
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Further Immediate Inferences | |
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Categorical Logic: Syllogisms | |
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Standard Form, Mood, and Figure | |
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Venn Diagrams and Categorical Statements | |
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Venn Diagrams and Categorical Syllogisms | |
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The Modern Square of Opposition | |
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Enthymemes | |
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Sorites and Removing Term-Complements | |
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Rules for Evaluating Syllogisms | |
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Statement Logic: Truth Tables | |
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Symbolizing English Arguments | |
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Truth Tables | |
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Using Truth Tables to Evaluate Arguments | |
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Abbreviated Truth Tables | |
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Logically Significant Categories and Relationships | |
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Statement Logic: Proofs | |
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Implicational Rules of Inference | |
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Five Equivalence Rules | |
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Five More Equivalence Rules | |
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Conditional Proof | |
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Reductio ad Absurdum | |
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Proving Theorems | |
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Predicate Logic | |
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Predicates and Quantifiers | |
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Demonstrating Invalidity | |
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Constructing Proofs | |
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Quantifier Negation, RAA, and CP | |
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The Logic of Relations: Symbolizations | |
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The Logic of Relations: Proofs | |
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Identity: Symbolizations | |
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Identity: Proofs | |
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Induction | |
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Inductive and Deductive Logic: Contrasts and Clarifications | |
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Arguments from Authority and Induction by Enumeration | |
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Mill's Methods and Scientific Reasoning | |
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Arguments from Analogy | |
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Probability | |
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Three Theories of Probability | |
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The Rules of Probability | |
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Bayes' Theorem | |