| Introduction | |
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(1) | Basic Concepts of Reasoning | |
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1.1. What is Reasoning? | |
1.2. Statements and Nonstatements | |
1.3. What is an Argument? | |
1.4. Inference Indicators | |
1.5. Reading between the Lines | |
1.6. Arguments, Conditional Statements, and Disjunctions | |
1.7. Basic and Complex Arguments | |
1.8. What is a Good Argument? | |
1.8.1. Truth and Premises | |
1.8.2. Acceptable Inferences | |
1.9. Deductive and Inductive Arguments | |
1.9.1. Deductive Arguments | |
1.9.2. Deductive Arguments: Soundness | |
1.9.3. Inductive Arguments | |
1.9.4. Inductive Arguments: Conjecture | |
1.9.5. Inductive Arguments: Reliability and Cogency | |
1.10. Comparing Deduction and Induction | |
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(2) | Diagramming Reasoning | |
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2.1. Introduction | |
2.2. Serial Reasoning | |
2.3. Divergent Reasoning | |
2.4. Linked Reasoning | |
2.5. Convergent Reasoning | |
2.6. Difficulties with the Linked-Convergent Distinction | |
2.7. Putting It All Together | |
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(3) | Evaluating Arguments | |
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3.1. Missing Premises, Missing Conclusions, and Deep Assumptions | |
3.2. Truth | |
3.3. Degrees of Support | |
3.4. Evaluating Longer Passages of Reasoning | |
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(4) | Diagramming: Reasons For and Against | |
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4.1. Attacks upon the Truth of Reasons | |
4.2. Attacks upon the Truth of Conclusions | |
4.3. Attacks upon Inferences | |
4.4. All-Out Assaults | |
4.5. Extended Examples: Reasons For and Against | |
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(5) | Forms of Argument | |
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5.1. Recognising Forms of Argument | |
5.2. Forms of Deductive Arguments: Categorical Syllogisms | |
5.3. Five Common Valid Forms of Categorical Syllogisms | |
5.4. Forms of Deductive Arguments: Propositional Logic | |
5.5. A Summary of Forms of Deductive Arguments: Propositional Logic | |
5.6. Combining Forms of Deductive Arguments: Propositional Logic | |
5.7. Combining Forms of Deductive Arguments: Propositional Logic and Categorical Syllogisms | |
5.8. Necessary and Sufficient Conditions | |
5.9. Four Forms of Inductive Argument | |
5.10. Appendix: A List of Equivalences | |
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(6) | Reconstructing and Constructing Arguments and Writing Evaluative Essays | |
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6.1. Reconstructing Arguments | |
6.2. Reconstructing Simple Arguments | |
6.3. Reconstructing Complex Arguments | |
6.4. Constructing Arguments: Arguing for a Conclusion | |
6.5. Thinking about Premises | |
6.6. Deciding How Much to Claim | |
6.7. Writing an Evaluative Essay | |
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(7) | Fallacies | |
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7.1. What are Fallacies? | |
7.2. Fallacies of Irrelevance | |
7.3. Fallacies of Weak Induction | |
7.4. Fallacies of Presumption | |
7.5. Miscellaneous Fallacies | |
7.6. A Field Guide for Fallacy-Spotters | |
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(8) | Categorical Logic | |
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Note to Instructors | |
8.1. What is Categorical Logic? | |
8.2. The Square of Opposition (Simple) | |
8.3 The Square of Opposition (Full) | |
8.4. Immediate Inferences | |
8.4.1. Twiddling Operations | |
8.4.2. Using Twiddling and the Full Square of Opposition Together | |
8.5. The Syllogism and its Parts | |
8.6. Venn Diagrams | |
8.7. Venn Diagrams Applied to Syllogisms (Part 1) | |
8.8. Venn Diagrams Applied to Syllogisms (Part 2) | |
8.9. Logical Equivalences in Categorical Logic | |
8.10. Translations | |
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(9) | Propositional Logic | |
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9.1. Simple and Compound Propositions in Propositional Logic | |
9.1.1. It is not the Case that P | |
9.1.2. Both P and Q | |
9.1.3. Either P or Q | |
9.1.4. If P, then Q | |
9.1.5. P if and only if Q | |
9.2. The Scope and Limits of Symbolizing Ordinary Language Propositions | |
9.2.1. Translating Negations into Propositional Logic | |
9.2.2. Translating Other Compound Propositions into Propositional Logic | |
9.2.3. Translating Conjunctions into Propositional Logic | |
9.2.4. Translating Disjunctions into Propositional Logic | |
9.2.5. Translating Conditionals into Propositional Logic | |
9.2.6. Translating Bi-Conditionals into Propositional Logic | |
9.2.7. Translating Propositions with Multiple Operators | |
9.3. The Five Basic Truth Tables | |
9.3.1. The Truth Table for Negation | |
9.3.2. The Truth Table for Conjunction | |
9.3.3. The Truth Table for Disjunction | |
9.3.4. The Truth Table for the Conditional | |
9.3.5. The Truth Table for the Bi-Conditional | |
9.4. Summary of the Five Basic Truth Tables | |
9.5. Truth Tables for More Complex Compound Propositions | |
9.6. The Use of Truth Tables for Classifying and Comparing Propositions | |
9.6.1. Classifying Propositions | |
9.6.2. Comparing Propositions | |
9.7. Translating Arguments and the Use of Truth Tables | |
9.8. The Indirect Method | |
9.8.1. Indirect Method: Testing for Consistency | |
9.8.2. Indirect Method: Testing for Validity | |
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(10) | Definitions | |
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10.1. The Importance of Definitions | |
10.2. Dictionaries | |
10.3. Six Criteria of Good Definitions | |
10.4. Clarity | |
10.5. Precision within Reasonable Limits | |
10.6. Not too Broad | |
10.7. Not too Narrow | |
10.8. Noncircular | |
10.9. Not Unfairly Emotive | |
10.10. Methods of Definition | |
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(11) | Practical Applications | |
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11.1. Is this a Good Question? | |
11.1.1. Socratic Questioning | |
11.2. How to Write an Argumentative Essay | |
11.2.1. Four Stages of an Argumentative Essay | |
11.3. Moral Reasoning | |
11.3.1. Ethical Principles | |
11.3.2. Dilemmas | |
11.3.3. The Argument from Tradition | |
11.3.4. Moral Definitions | |
11.4. Legal Reasoning | |
11.4.1. Analogy in Legal Reasoning | |
11.4.2. Cause and Effect | |
11.4.3. Diagrams | |
11.4.4. Authority and Experts | |
11.4.5. Legal Definitions | |
11.4.6. Cogency | |
11.4.7. Fallacies | |
11.5. Scientific Thinking: A Few Examples | |
11.5.1. Some Central Features of Scientific Thinking | |
11.5.2. The Importance of Scientific Thinking: A Bit of History | |
11.5.3. Demarcating Science from Nonscience | |
11.5.4. Conjectures | |
11.5.5. The Value of Generality and Precision | |
11.5.6. Auxiliary Hypotheses and Ad Hoc Modification | |
11.6. Management and Business Reasoning | |
11.6.1. Making Informed Decisions | |
11.7. Analytical Skills in Context | |
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| Index | |