Logic Made Easy – Deborah J Bennett

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 Table of Contents 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?

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 Table of Contents 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?

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