Logic Made Easy How to Know When Language Deceives You

Name: Logic Made Easy How to Know When Language Deceives You
Availability: InStock
ISBN: 9780393057485

ISBN-10: 0393057488

ISBN-13: 9780393057485

Edition: 2004

Authors: Deborah J. Bennett

List price: $45.00

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Book details

List price: $45.00
Copyright year: 2004
Publisher: W. W. Norton & Company, Incorporated
Publication date: 4/17/2004
Binding: Hardcover
Pages: 258
Size: 5.80" wide x 8.60" long x 1.00" tall
Weight: 1.188
Language: English

Deborah J. Bennett is Associate Professor of Mathematics, Jersey City State College, New Jersey.



Introduction: Logic Is Rare


The mistakes we make


Logic should be everywhere


How history can help


Proof


Consistency is all I ask


Proof by contradiction


Disproof


All


All S are P


Vice Versa


Familiarity-help or hindrance?


Clarity or brevity?


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


Some Is Part or All of All


Some is existential


Some are; some are not


A, E, I, and O


Syllogisms


Sorites, or heap


Atmosphere of the "sillygism"


Knowledge interferes with logic


Truth interferes with logic


Terminology made simple


When Things Are IFfy


The converse of the conditional


Causation


The contrapositive conditional


Syllogisms Involving IF, AND, and OR


Disjunction, an "or" statement


Conjunction, an "and" statement


Hypothetical syllogisms


Common fallacies


Diagramming conditional syllogisms


Series Syllogisms


Symbols That Express Our Thoughts


Leibniz's dream comes true: Boolean logic


Logic Machines and Truth Tables


Reasoning machines


Truth tables


True, false, and maybe


Fuzzy Logic, Fallacies, and Paradoxes


Shaggy logic


Fallacies


Paradoxes


Common Logic and Language


Thinking Well-Together


Theories of reasoning


Notes


References


Acknowledgments