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Preface | |
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Introduction | |
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Why Study Logic | |
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Logic as a Defensive Tool | |
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Deductive Reasoning | |
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Valid, Invalid, and Sound Arguments | |
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Logic and Belief Testing | |
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Key Terminology | |
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Concept Summary | |
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Exercises | |
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Arguments and Language | |
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Recognizing Arguments | |
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Other Uses of Language | |
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Meaning and Clarification | |
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What is Truth? | |
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Key Terminology | |
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Concept Summary | |
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Exercises | |
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Inductive Reasoning and Reasonable Beliefs | |
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Deduction and Induction | |
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Induction and Reliable Beliefs | |
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Induction: A Case Study | |
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Logic and Creativity | |
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Key Terminology | |
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Concept Summary | |
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Exercises | |
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Informal Fallacies I | |
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Introduction | |
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The Value of Abstraction | |
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Fallacies of Relevance | |
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Appeal to Popularity | |
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Appeal to Authority | |
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Traditional Wisdom | |
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Provincialism | |
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Appeal to Loyalty | |
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Two Wrongs Make a Right | |
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Ad Hominem Abusive and Circumstantial | |
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Irrelevant Reason | |
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Key Terminology | |
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Concept Summary | |
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Exercises | |
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Informal Fallacies II | |
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Introduction | |
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Fallacies of Questionable Premise | |
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Slippery Slope | |
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Questionable Dilemma | |
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Straw Person | |
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Fallacies of Weak Induction | |
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Hasty Conclusion | |
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Questionable Cause | |
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Appeal to Ignorance | |
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Fallacies of Presumption | |
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Begging the Question | |
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Complex Question | |
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Ambiguity-Equivocation | |
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Questionable Analogy | |
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Suppressed Evidence | |
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Key Terminology | |
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Concept Summary | |
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Exercises | |
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Logic and Hope | |
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Exercises | |
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Symbolic Translation | |
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Introduction | |
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Logical Connectives | |
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Usage Dictionary of Logical Connectives | |
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Exercise I | |
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Exercise II | |
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Complex Translations, the Use of Parentheses, and Arguments | |
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Exercise III | |
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Exercise IV | |
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Exercise V | |
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Bit Brains Logical Connectives, and Truth Tables | |
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Introduction | |
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Symbolic Pictures of Logical Connectives: And, Or, and Not | |
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Exercise I | |
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Logical Connectives Continued: If . . . then . . . and If and only if | |
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Exercise II | |
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Short Cuts and Human Learning | |
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Truth Tables, Validity, and Logical Pictures | |
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Exercise III | |
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Exercise IV | |
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Argument Forms and Variables | |
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Exercise V | |
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Brief Truth Tables | |
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Exercise VI | |
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Symbolic Trails and Formal Proofs of Validity | |
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Introduction | |
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Constructing Formal Proofs of Validity | |
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Recognizing Forms: Copi's ""Nine"" Rules of Inference | |
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Exercises | |
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Strategies for Pattern Recognition | |
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Justifying Reasoning Trails with the Rules of Inference | |
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Exercises | |
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On Your Own, Constructing Formal Proofs with the Rules of Inference | |
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Exercises | |
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Translations and Formal Proofs | |
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Symbolic Trails and Formal Proofs of Validity, Part 2 | |
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Introduction | |
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Application Practice | |
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The Nineteen Rules | |
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Rules of Replacement Exercises | |
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Commonsense Origins | |
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Strategies for Pattern Recognition Revisited | |
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Exercises | |
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Subroutines | |
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Direction, Strategies, and Working Backward | |
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Exercises | |
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Brief Truth Tables Revisited and Decision Strategies | |
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Translation and Formal Proof Exercises | |
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Holiday Adventures | |
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Clarification Exercises | |
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Other Logical Tools: Syllogisms and Quantification | |
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Introduction | |
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Syllogisms and Quantification Logic | |
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Usage Dictionary | |
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Dictionary Elaboration | |
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Exercise I | |
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Proving Validity in Quantification Logic | |
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The Square of Opposition and Change of Quantifier Rules | |
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Exercise II | |
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Exercise III | |
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Exercise IV | |
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Exercise V | |
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Exercise VI | |
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Exercise VII | |
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Final Note | |
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Frontiers of Logic--Fuzzy Logic: Can Aristotle and Buddha Get Along? | |
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Introduction | |
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Bivalent Logic and Paradoxes | |
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Fuzzy Interpretations and Degrees of Truth | |
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Fuzzy Conditionals and Fuzzy Validity | |
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Resolution of Paradoxes and Implications | |
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Philosophy: What about reality? | |
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Exercise I | |
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Exercises II-IV | |
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Exercises V | |