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Index
Cover Title Page Copyright Acknowledgements 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 Biconditionals 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
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