Introducing Symbolic Logic

Robert M. Martin (Autor)

Buch | Softcover

272 Seiten

2004
Broadview Press Ltd (Verlag)
978-1-55111-635-8 (ISBN)

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This accessible, short introduction to symbolic logic includes coverage of sentential and predicate logic, translations, truth tables, and derivations. Topics are explained in a conversational, easy-to-understand way for readers not familiar with mathematics or formal systems, and the author provides patient, reader-friendly explanations—even with the occasional bit of humour.

This accessible, SHORT introduction to symbolic logic includes coverage of sentential and predicate logic, translations, truth tables, and derivations. The author's engaging style makes this the most informal of introductions to formal logic. Topics are explained in a conversational, easy-to-understand way for readers not familiar with mathematics or formal systems, and the author provides patient, reader-friendly explanations—even with the occasional bit of humour.

The first half of the book deals with all the basic elements of Sentential Logic: the five truth-functional connectives, formation rules and translation into this language, truth-tables for validity, logical truth/falsity, equivalency, consistency and derivations. The second half deals with Quantifier Logic: the two quantifiers, formation rules and translation, demonstrating certain logical characteristics by “Finding an Interpretation” and derivations.

There are plenty of exercises scattered throughout, more than in many texts, arranged in order of increasing difficulty and including separate answer keys.

Robert M. Martin is Professor of Philosophy at Dalhousie University. His many books include On Ayer (Wadsworth), The Meaning of Language (MIT Press), and On Ockham, with Sharon Kaye (Wadsworth). He is also the author of There Are Two Errors in the the Title of This Book, The Philosopher's Dictionary, and Scientific Thinking (Broadview Press).

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

Erscheint lt. Verlag	30.5.2004
Sprache	englisch
Maße	178 x 229 mm
Gewicht	439 g
Themenwelt	Geisteswissenschaften ► Philosophie ► Logik
ISBN-10	1-55111-635-9 / 1551116359
ISBN-13	978-1-55111-635-8 / 9781551116358
Zustand	Neuware