Preface | p. ix |
Introduction | p. 1 |
What good is logic? | p. 1 |
Seventeen ways this book is different | p. 9 |
The two logics (P)* | p. 15 |
All of logic in two pages: an overview (B)* | p. 26 |
The three acts of the mind (B) | p. 28 |
The First Act of the Mind: Understanding | p. 35 |
Understanding: the thing that distinguishes man from both beast and computer (P) | p. 35 |
Concepts, terms and words (P) | p. 40 |
The "problem of universals" (P) | p. 41 |
The comprehension and extension of terms | p. 43 |
Terms | p. 47 |
Classifying terms | p. 47 |
Categories (B) | p. 54 |
Predicables (B) | p. 56 |
Division (B) | p. 62 |
Material Fallacies | p. 68 |
Fallacies of language | p. 71 |
Fallacies of diversion | p. 80 |
Fallacies of oversimplification | p. 86 |
Fallacies of argumentation | p. 92 |
Inductive fallacies | p. 100 |
Procedural fallacies | p. 104 |
Metaphysical fallacies | p. 109 |
Short Story: "Love Is a Fallacy" | p. 114 |
Definition | p. 123 |
The nature of definition (B) | p. 123 |
The rules of definition (B) | p. 124 |
The kinds of definition | p. 124 |
The limits of definition | p. 129 |
Second Act of the Mind: Judgment | p. 138 |
Judgments, propositions, and sentences | p. 138 |
What is truth? (P) | p. 143 |
The four kinds of categorical propositions (B) | p. 145 |
Logical form (B) | p. 147 |
Euler's circles (B) | p. 152 |
Tricky propositions | p. 153 |
The distribution of terms | p. 163 |
Changing Propositions | p. 166 |
Immediate inference | p. 166 |
Conversion (B) | p. 167 |
Obversion (B) | p. 170 |
Contraposition | p. 171 |
Contradiction | p. 173 |
What is contradiction? (B) | p. 173 |
The Square of Opposition (B) | p. 174 |
Existential import (P) | p. 179 |
Tricky propositions on the Square | p. 181 |
Some practical uses of the Square of Opposition | p. 183 |
The Third Act of the Mind: Reasoning | p. 186 |
What does "reason" mean? (P) | p. 186 |
The ultimate foundations of the syllogism (P) | p. 187 |
How to detect arguments | p. 190 |
Arguments vs. explanations | p. 193 |
Truth and validity | p. 194 |
Different Kinds of Arguments | p. 200 |
Three meanings of "because" | p. 200 |
The four causes (P) | p. 202 |
A classification of arguments | p. 205 |
Simple argument maps (B) | p. 206 |
Deductive and inductive arguments (B) | p. 210 |
Combining deduction and induction: Socratic method (P) | p. 211 |
Syllogisms | p. 215 |
The structure and strategy of the syllogism (B) | p. 215 |
The skeptic's objection to the syllogism (P) | p. 219 |
The empiricist's objection to the syllogism (P) | p. 222 |
Demonstrative syllogisms | p. 230 |
How to construct convincing syllogisms (B) | p. 232 |
Checking Syllogisms for Validity | p. 237 |
By Euler's Circles (B) | p. 237 |
By Aristotle's six rules (B) | p. 242 |
"Barbara Celarent": mood and figure | p. 257 |
Venn Diagrams | p. 258 |
More Difficult Syllogisms | p. 264 |
Enthymemes: abbreviated syllogisms (B) | p. 264 |
Sorites: chain syllogisms | p. 275 |
Epicheiremas: multiple syllogisms (B) | p. 279 |
Complex argument maps | p. 282 |
Compound Syllogisms | p. 289 |
Hypothetical syllogisms (B) | p. 289 |
"Reductio ad absurdum" arguments | p. 294 |
The practical syllogism: arguing about means and ends | p. 296 |
Disjunctive syllogisms (B) | p. 301 |
Conjunctive syllogisms (B) | p. 303 |
Dilemmas (B) | p. 306 |
Induction | p. 313 |
What is induction? | p. 313 |
Generalization | p. 315 |
Causal induction: Mill's methods | p. 319 |
Scientific hypotheses | p. 325 |
Statistical probability | p. 328 |
Arguments from analogy | p. 329 |
A fortiori and a minore arguments | p. 335 |
Some Practical Applications of Logic | p. 342 |
How to write a logical essay | p. 342 |
How to write a Socratic dialogue | p. 344 |
How to have a Socratic debate | p. 347 |
How to use Socratic method on difficult people | p. 350 |
How to read a book Socratically | p. 356 |
Some Philosophical Applications of Logic | p. 358 |
Logic and theology (P) | p. 358 |
Logic and metaphysics (P) | p. 359 |
Logic and cosmology (P) | p. 360 |
Logic and philosophical anthropology (P) | p. 360 |
Logic and epistemology (P) | p. 362 |
Logic and ethics (P) | p. 362 |
Problems with Mathematical Logic | p. 364 |
Basic modern logic | p. 364 |
The paradoxes of material implication | p. 366 |
Responses to the paradoxes of material implication | p. 367 |
Answers to Even-Numbered Exercises | p. 370 |
Index of Principal Names | p. 400 |
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