Logic Made Easy PA

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  • Edition: 00
  • Format: Trade Paper
  • Copyright: 2005-07-17
  • Publisher: W W NORTON

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"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.

Author Biography

Deborah J. Bennett teaches mathematics at New Jersey City University in Jersey City.

Table of Contents

Introduction: Logic Is Rarep. 11
The mistakes we makep. 13
Logic should be everywherep. 18
How history can helpp. 19
Proofp. 29
Consistency is all I askp. 29
Proof by contradictionp. 33
Disproofp. 36
Allp. 40
All S are Pp. 42
Vice Versap. 42
Familiarity-help or hindrance?p. 48
Clarity or brevity?p. 50
A Not Tangles Everything Upp. 53
The trouble with notp. 54
Scope of the negativep. 58
A and E propositionsp. 59
When no means yes-the "negative pregnant" and double negativep. 61
Some Is Part or All of Allp. 64
Some is existentialp. 65
Some are; some are notp. 68
A, E, I, and Op. 70
Syllogismsp. 73
Sorites, or heapp. 85
Atmosphere of the "sillygism"p. 88
Knowledge interferes with logicp. 89
Truth interferes with logicp. 90
Terminology made simplep. 91
When Things Are IFfyp. 96
The converse of the conditionalp. 108
Causationp. 112
The contrapositive conditionalp. 115
Syllogisms Involving IF, AND, and ORp. 118
Disjunction, an "or" statementp. 119
Conjunction, an "and" statementp. 121
Hypothetical syllogismsp. 124
Common fallaciesp. 130
Diagramming conditional syllogismsp. 134
Series Syllogismsp. 137
Symbols That Express Our Thoughtsp. 145
Leibniz's dream comes true: Boolean logicp. 151
Logic Machines and Truth Tablesp. 160
Reasoning machinesp. 160
Truth tablesp. 165
True, false, and maybep. 168
Fuzzy Logic, Fallacies, and Paradoxesp. 173
Shaggy logicp. 173
Fallaciesp. 177
Paradoxesp. 187
Common Logic and Languagep. 192
Thinking Well-Togetherp. 202
Theories of reasoningp. 210
Notesp. 219
Referencesp. 233
Acknowledgmentsp. 243
Table of Contents provided by Ingram. All Rights Reserved.

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