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Informal Logic | |
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Basic Concepts | |
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Arguments, Premises, and Conclusions | |
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Recognizing Arguments | |
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Deduction and Induction | |
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Validity, Truth, Soundness, Strength, Cogency | |
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Argument Forms: Proving Invalidity | |
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Extended Arguments | |
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Summary | |
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Eminent Logicians: Aristotle | |
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Eminent Logicians: Chrysippus | |
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Language: Meaning and Definition | |
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Varieties of Meaning | |
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The Intension and Extension of Terms | |
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Definitions and Their Purposes | |
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Definitional Techniques | |
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Criteria for Lexical Definitions | |
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Summary | |
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Eminent Logicians: Abelard | |
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Informal Fallacies | |
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Fallacies in General | |
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Fallacies of Relevance | |
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Fallacies of Weak Induction | |
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Fallacies of Presumption, Ambiguity, and Grammatical Analogy | |
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Fallacies in Ordinary Language | |
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Summary | |
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Eminent Logicians: Ockham | |
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Formal Logic | |
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Categorical Propositions | |
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The Components of Categorical Propositions | |
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Quality, Quantity, and Distribution | |
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Venn Diagrams and the Modern Square of Opposition | |
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Conversion, Obversion, and Contraposition | |
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The Traditional Square of Opposition | |
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Venn Diagrams and the Traditional Standpoint | |
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Translating Ordinary Language Statements into Categorical Form | |
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Summary | |
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Eminent Logicians: Boole | |
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Categorical Syllogisms | |
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Standard Form, Mood, and Figure | |
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Venn Diagrams | |
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Rules and Fallacies | |
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Reducing the Number of Terms | |
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Ordinary Language Arguments | |
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Enthymemes | |
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Sorites | |
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Summary | |
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Eminent Logicians: Venn | |
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Propositional Logic | |
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Symbols and Translation | |
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Truth Functions | |
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Truth Tables for Propositions | |
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Truth Tables for Arguments | |
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Indirect Truth Tables | |
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Argument Forms and Fallacies | |
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Summary | |
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Eminent Logicians: Leibniz | |
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Eminent Logicians: De Morgan | |
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Natural Deduction in Propositional Logic | |
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Rules of Implication I | |
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Rules of Implication II | |
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Rules of Replacement I | |
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Rules of Replacement II | |
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Conditional Proof | |
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Indirect Proof | |
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Proving Logical Truths | |
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Summary | |
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Eminent Logicians: Frege | |
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Predicate Logic | |
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Symbols and Translation | |
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Using the Rules of Inference | |
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Change of Quantifier Rule | |
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Conditional and Indirect Proof | |
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Proving Invalidity | |
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Relational Predicates and Overlapping Quantifiers | |
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Identity | |
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Summary | |
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Eminent Logicians: Whitehead / Russell | |
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Eminent Logicians: G�del | |
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Inductive Logic | |
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Analogy and Legal and Moral Reasoning | |
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Analogical Reasoning | |
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Legal Reasoning | |
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Moral Reasoning | |
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Summary | |
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Causality and Mill's Methods | |
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"Cause" and Necessary and Sufficient Conditions | |
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Mill's Five Methods | |
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Mill's Methods and Science | |
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Summary | |
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Eminent Logicians: Mill | |
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Probability | |
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Theories of Probability | |
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The Probability Calculus | |
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Summary | |
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Statistical Reasoning | |
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Evaluating Statistics | |
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Samples | |
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The Meaning of "Average" | |
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Dispersion | |
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Graphs and Pictograms | |
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Percentages | |
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Summary | |
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Hypothetical/Scientific Reasoning | |
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The Hypothetical Method | |
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Hypothetical Reasoning: Four Examples from Science | |
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The Proof of Hypotheses | |
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The Tentative Acceptance of Hypotheses | |
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Summary | |
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Eminent Logicians: Peirce | |
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Science and Superstition | |
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Distinguishing Between Science and Superstition | |
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Evidentiary Support | |
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Objectivity | |
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Integrity | |
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Concluding Remarks | |
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Summary | |
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Appendix: Logic and Graduate-Level Admissions Tests | |
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Answers to Selected Exercises | |
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Glossary/Index | |