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Logic The Laws of Truth

ISBN-10: 0691151636
ISBN-13: 9780691151632
Edition: 2012
List price: $52.95 Buy it from $39.94
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Description: Logic is essential to correct reasoning and also has important theoretical applications in philosophy, computer science, linguistics, and mathematics. This book provides an exceptionally clear introduction to classical logic, with a unique approach  More...

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Book details

List price: $52.95
Copyright year: 2012
Publisher: Princeton University Press
Publication date: 4/1/2012
Binding: Hardcover
Pages: 544
Size: 6.50" wide x 9.50" long x 1.75" tall
Weight: 1.936
Language: English

Logic is essential to correct reasoning and also has important theoretical applications in philosophy, computer science, linguistics, and mathematics. This book provides an exceptionally clear introduction to classical logic, with a unique approach that emphasizes both the hows and whys of logic. Here Nicholas Smith thoroughly covers the formal tools and techniques of logic while also imparting a deeper understanding of their underlying rationales and broader philosophical significance. In addition, this is the only introduction to logic available today that presents all the major forms of proof--trees, natural deduction in all its major variants, axiomatic proofs, and sequent calculus. The book also features numerous exercises, with solutions available on an accompanying website.Logicis the ideal textbook for undergraduates and graduate students seeking a comprehensive and accessible introduction to the subject.Provides an essential introduction to classical logicEmphasizes the how and why of logicCovers both formal and philosophical issuesPresents all the major forms of proof--from trees to sequent calculusFeatures numerous exercises, with solutions available atpersonal.usyd.edu.au/~njjsmith/lawsoftruthThe ideal textbook for undergraduates and graduate students

Nicholas J. J. Smith is senior lecturer in philosophy at the University of Sydney in Australia. He is the author of "Vagueness and Degrees of Truth".

Preface
Acknowledgments
Propositional Logic
Propositions and Arguments
What Is Logic?
Propositions
Arguments
Logical Consequence
Soundness
Connectives
The Language of Propositional Logic
Motivation
Basic Propositions of PL
Connectives of PL
Wff Variables
Syntax of PL
Semantics of Propositional Logic
Truth Tables for the Connectives
Truth Values of Complex Propositions
Truth Tables for Complex Propositions
Truth Tables for Multiple Propositions
Connectives and Truth Functions
Uses of Truth Tables
Arguments
Single Propositions
Two Propositions
Sets of Propositions
More on Validity
Logical Form
Abstracting from Content: From Propositions to Forms
Instances: From Forms to Propositions
Argument Forms
Validity and Form
Invalidity and Form
Notable Argument Forms
Other Logical Properties
Connectives: Translation and Adequacy
Assertibility and Implicature
Conjunction
Conditional and Biconditional
Disjunction
Negation
Functional Completeness
Trees for Propositional Logic
Tree Rules
Applying the Rules
Uses of Trees
Abbreviations
Predicate Logic
The Language of Monadic Predicate Logic
The Limitations of Propositional Logic
MPL, Part I: Names and Predicates
MPL, Part II: Variables and Quantifiers
Syntax of MPL
Semantics of Monadic Predicate Logic
Models; Truth and Falsity of Uncomplicated Propositions
Connectives
Quantified Propositions: The General Case
Semantics of MPL: Summary
Analyses and Methods
Trees for Monadic Predicate Logic
Tree Rules
Using Trees
Infinite Trees
Models, Propositions, and Ways the World Could Be
Translation
Valuation
Axiomatization
Propositions
Logical Consequence and NTP
Postulates
General Predicate Logic
The Language of General Predicate Logic
Semantics of GPL
Trees for General Predicate Logic
Postulates
Moving Quantifiers
Identity
The Identity Relation
The Identity Predicate
Semantics of Identity
Trees for General Predicate Logic with Identity
Numerical Quantifiers
Definite Descriptions
Function Symbols
Foundations and Variations
Metatheory
Soundness and Completeness
Decidability and UndecidabUity
Other Logical Properties
Expressive Power
Other Methods of Proof
Axiomatic Systems
Natural Deduction
Sequent Calculus
Set Theory
Sets
Ordered Pairs and Ordered n-tuples
Relations
Functions
Sequences
Multisets
Syntax
Notes
References
Index

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