Logic Made Easy by Bennett, Deborah J. -- Read -- Imperial Library of Trantor

Index

Cover Title 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 REFERENCES ACKNOWLEDGMENTS INDEX Copyright Also by Deborah J. Bennett

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