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Introduction: Logic Is Rare | p. 11 |
The mistakes we make | p. 13 |
Logic should be everywhere | p. 18 |
How history can help | p. 19 |
Proof | p. 29 |
Consistency is all I ask | p. 29 |
Proof by contradiction | p. 33 |
Disproof | p. 36 |
All | p. 40 |
All S are P | p. 42 |
Vice Versa | p. 42 |
Familiarity-help or hindrance? | p. 48 |
Clarity or brevity? | p. 50 |
A Not Tangles Everything Up | p. 53 |
The trouble with not | p. 54 |
Scope of the negative | p. 58 |
A and E propositions | p. 59 |
When no means yes-the "negative pregnant" and double negative | p. 61 |
Some Is Part or All of All | p. 64 |
Some is existential | p. 65 |
Some are; some are not | p. 68 |
A, E, I, and O | p. 70 |
Syllogisms | p. 73 |
Sorites, or heap | p. 85 |
Atmosphere of the "sillygism" | p. 88 |
Knowledge interferes with logic | p. 89 |
Truth interferes with logic | p. 90 |
Terminology made simple | p. 91 |
When Things Are IFfy | p. 96 |
The converse of the conditional | p. 108 |
Causation | p. 112 |
The contrapositive conditional | p. 115 |
Syllogisms Involving IF, AND, and OR | p. 118 |
Disjunction, an "or" statement | p. 119 |
Conjunction, an "and" statement | p. 121 |
Hypothetical syllogisms | p. 124 |
Common fallacies | p. 130 |
Diagramming conditional syllogisms | p. 134 |
Series Syllogisms | p. 137 |
Symbols That Express Our Thoughts | p. 145 |
Leibniz's dream comes true: Boolean logic | p. 151 |
Logic Machines and Truth Tables | p. 160 |
Reasoning machines | p. 160 |
Truth tables | p. 165 |
True, false, and maybe | p. 168 |
Fuzzy Logic, Fallacies, and Paradoxes | p. 173 |
Shaggy logic | p. 173 |
Fallacies | p. 177 |
Paradoxes | p. 187 |
Common Logic and Language | p. 192 |
Thinking Well-Together | p. 202 |
Theories of reasoning | p. 210 |
Notes | p. 219 |
References | p. 233 |
Acknowledgments | p. 243 |
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