Table of Contents

INTRODUCTION

What Symbolic Logic Is
What It’s Good For
What You Should Do

CHAPTER ONE: SENTENCE LOGIC

Sentences
Arguments
Validity and Invalidity
Soundness
Consistency and Inconsistency
Necessary Truth and Falsity
Logical Truth, Falsity, Indeterminacy
Logical Equivalency
Peculiar Consequences
Sentential Logic
Atomic Sentences
Conjunctions
Disjunctions
Conditionals
Biconditional
Negations
Compound Sentences
Truth Tables for Compound Sentences
Translating
Using Truth Tables
Truth-Functional Logical Properties
Answers to Exercises in Chapter One

CHAPTER TWO: SENTENCE DERIVATIONS

Derivations
Conjunction Rules
Conditional Rules
Disjunction Rules
Negation Rules
Biconditional Rules
Reiteration
List of All the Rules
About This Set of Rules
Learning the Derivation System
Strategies
Rules of Thumb
What Derivations Prove
How to learn the Skill
Answers to Exercises in Chapter Two

CHAPTER THREE: QUANTIFIER LOGIC

Predicates and Constants
The Universal Quantifier
The Existential Quantifier
Well-Formed Quantified Sentences
Understanding Quantified Sentences
Multiple Quantification
Quantificational Logical Properties
Proving Quantificational Logical Properties
Answers to Exercises in Chapter Three

CHAPTER FOUR: QUANTIFIER DERIVATIONS

About Quantifier Derivations
Undischarged Assumptions
Main Connective
Substitution Instance
Universal Elimination
Existential Introduction
Universal Introduction
Existential Elimination
List of All the Additional Quantifier Rules
Using Derivations (Again)
Answers to Exercises in Chapter Four

Posted on October 29, 2015