Logic Made Easy: How to Know When Language Deceives You

Logic Made Easy: How to Know When Language Deceives You

by Deborah J. Bennett
     
 

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ISBN-10: 0393326926

ISBN-13: 9780393326925

Pub. Date: 07/17/2005

Publisher: Norton, W. W. & Company, Inc.

"The best introduction to logic you will find."—Martin Gardner
"Professor Bennett entertains as she instructs," writes Publishers Weekly about the penetrating yet practical Logic Made Easy. This brilliantly clear and gratifyingly concise treatment of the ancient Greek discipline identifies the illogical in everything from street signs to tax forms. Complete

Overview

"The best introduction to logic you will find."—Martin Gardner
"Professor Bennett entertains as she instructs," writes Publishers Weekly about the penetrating yet practical Logic Made Easy. This brilliantly clear and gratifyingly concise treatment of the ancient Greek discipline identifies the illogical in everything from street signs to tax forms. Complete with puzzles you can try yourself, Logic Made Easy invites readers to identify and ultimately remedy logical slips in everyday life. Designed with dozens of visual examples, the book guides you through those hair-raising times when logic is at odds with our language and common sense. Logic Made Easy is indeed one of those rare books that will actually make you a more logical human being.

Product Details

ISBN-13:
9780393326925
Publisher:
Norton, W. W. & Company, Inc.
Publication date:
07/17/2005
Edition description:
Reprint
Pages:
256
Sales rank:
603,511
Product dimensions:
5.50(w) x 8.30(h) x 0.70(d)

Related Subjects

Table of Contents

Introduction: Logic Is Rare11
The mistakes we make13
Logic should be everywhere18
How history can help19
1Proof29
Consistency is all I ask29
Proof by contradiction33
Disproof36
2All40
All S are P42
Vice Versa42
Familiarity-help or hindrance?48
Clarity or brevity?50
3A Not Tangles Everything Up53
The trouble with not54
Scope of the negative58
A and E propositions59
When no means yes-the "negative pregnant" and double negative61
4Some Is Part or All of All64
Some is existential65
Some are; some are not68
A, E, I, and O70
5Syllogisms73
Sorites, or heap85
Atmosphere of the "sillygism"88
Knowledge interferes with logic89
Truth interferes with logic90
Terminology made simple91
6When Things Are IFfy96
The converse of the conditional108
Causation112
The contrapositive conditional115
7Syllogisms Involving IF, AND, and OR118
Disjunction, an "or" statement119
Conjunction, an "and" statement121
Hypothetical syllogisms124
Common fallacies130
Diagramming conditional syllogisms134
8Series Syllogisms137
9Symbols That Express Our Thoughts145
Leibniz's dream comes true: Boolean logic151
10Logic Machines and Truth Tables160
Reasoning machines160
Truth tables165
True, false, and maybe168
11Fuzzy Logic, Fallacies, and Paradoxes173
Shaggy logic173
Fallacies177
Paradoxes187
12Common Logic and Language192
13Thinking Well-Together202
Theories of reasoning210
Notes219
References233
Acknowledgments243
Index245

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