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Index
Cover
Copyright page
Contents
Introduction: Logic Is Rare
The Mistakes We Make
Logic Should Be Everywhere
How History Can Help
1 Proof
Consistency Is All I Ask
Proof by Contradiction
Disproof
2 All
All S are P
Vice Versa
Familiarity—Help or Hindrance?
Clarity or Brevity?
3 A NOT Tangles Everything Up
The Trouble with Not
Scope of the Negative
A and E Propositions
When No Means Yes —The "Negative Pregnant" and Double Negative
4 SOME Is Part or All of ALL
Some Is Existential
Some Are; Some Are Not
A, E, I, and O
5 Syllogisms
Sorites, or Heap
Atmosphere of the "Sillygism"
Knowledge Interferes with Logic
Truth Interferes with Logic
Terminology Made Simple
6 When Things Are IFfy
The Converse of the Conditional
Causation
The Contrapositive Conditional
7 Syllogisms Involving IF, AND, and OR
Disjunction, an "Or" Statement
Conjunction, an "And" Statement
Hypothetical Syllogisms
Common Fallacies
Diagramming Conditional Syllogisms
8 Series Syllogisms
9 Symbols That Express Our Thoughts
Leibniz's Dream Comes True: Boolean Logic
10 Logic Machines and Truth Tables
Reasoning Machines
Truth Tables
True, False, and Maybe
11 Fuzzy Logic, Fallacies, and Paradoxes
Shaggy Logic
Fallacies
Paradoxes
12 Common Logic and Language
13 Thinking Well—Together
Theories of Reasoning
Notes
Introduction
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Chapter 12
Chapter 13
References
Acknowledgments
Index
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
Y
Z
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