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Reasoning | |
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Basic Logical Concepts | |
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What Logic Is | |
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Propositions and Sentences | |
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Arguments, Premisses, and Conclusions | |
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More Complex Arguments | |
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Recognizing Arguments | |
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Deduction and Induction | |
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Validity and Truth | |
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Arguments and Explanations | |
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Analyzing and Diagramming Arguments | |
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Argument Diagrams | |
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Analyzing Passages Containing More than One Argument | |
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Analyzing Complex Argumentative Passages | |
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Solving Problems Using Logic | |
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Problem Solving | |
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Problems in Reasoning | |
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Retrograde Reasoning | |
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Language | |
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The Uses of Language | |
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Three Basic Functions of Language | |
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Discourse Serving Multiple Functions | |
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The Forms of Discourse | |
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Emotive Words | |
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Kinds of Agreement and Disagreement | |
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Emotively Neutral Language | |
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Definition | |
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Disputes, Verbal Disputes, and Definitions | |
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Kinds of Definition and the Resolution of Disputes | |
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Denotation (Extension) and Connotation (Intension) | |
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Extension and Denotative Definitions | |
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Intension and Connotative Definitions | |
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Rules for Definition by Genus and Difference | |
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Fallacies | |
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What Is a Fallacy? | |
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Fallacies of Relevance | |
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Fallacies of Presumption | |
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Fallacies of Ambiguity | |
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Deduction | |
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Categorical Propositions | |
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The Theory of Deduction | |
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Categorical Propositions and Classes | |
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Quality, Quantity, and Distribution | |
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The Traditional Square of Opposition | |
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Further Immediate Inferences | |
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Existential Import | |
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Symbolism and Diagrams for Categorical Propositions | |
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Categorical Syllogisms | |
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Standard-Form Categorical Syllogisms | |
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The Formal Nature of Syllogistic Argument | |
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Venn Diagram Technique for Testing Syllogisms | |
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Syllogistic Rules and Syllogistic Fallacies | |
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Exposition of the 15 Valid Forms of the Categorical Syllogism | |
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Arguments in Ordinary Language | |
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Syllogistic Arguments in Ordinary Language | |
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Reducing the Number of Terms in a Syllogistic Argument | |
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Translating Categorical Propositions into Standard Form | |
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Uniform Translation | |
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Enthymemes | |
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Sorites | |
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Disjunctive and Hypothetical Syllogisms | |
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The Dilemma | |
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Symbolic Logic | |
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The Symbolic Language of Modern Logic | |
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The Symbols for Conjunction, Negation, and Disjunction | |
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Conditional Statements and Material Implication | |
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Argument Forms and Arguments | |
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Statement Forms, Material Equivalence, and Logical Equivalence | |
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The Paradoxes of Material Implication | |
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The Three Laws of Thought | |
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The Method of Deduction | |
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Formal Proof of Validity | |
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The Rule of Replacement | |
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Proof of Invalidity | |
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Inconsistency | |
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Quantification Theory | |
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Singular Propositions | |
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Quantification | |
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Traditional Subject-Predicate Propositions | |
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Proving Validity | |
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Proving Invalidity | |
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Asyllogistic Inference | |
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Induction | |
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Analogy and Probable Inference | |
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Argument by Analogy | |
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Appraising Analogical Arguments | |
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Refutation by Logical Analogy | |
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Causal Connections: Mill's Methods of Experimental Inquiry | |
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Cause and Effect | |
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Mill's Methods | |
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Critique of Mill's Methods | |
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Science and Hypothesis | |
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The Values of Science | |
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Explanations: Scientific and Unscientific | |
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Evaluating Scientific Explanation | |
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Seven Stages of Scientific Investigation | |
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Scientists in Action: The Pattern of Scientific Investigation | |
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Crucial Experiments and Ad Hoc Hypotheses | |
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Classification as Hypothesis | |
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Probability | |
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Alternative Conceptions of Probability | |
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The Probability Calculus | |
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Probability of Joint Occurrences | |
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Probability of Alternative Occurrences | |
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Expected Value | |
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Solutions to Selected Exercises | |
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Special Symbols | |
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Glossary and Index of Logical Terms | |
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Index of Names and Titles | |