Elementary Logic

ISBN-10: 0674244516
ISBN-13: 9780674244511
Edition: 3rd 1980 (Revised)
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Description: Now much revised since its first appearance in 1941, this book, despite its brevity, is notable for its scope and rigor. It provides a single strand of simple techniques for the central business of modern logic. Basic formal concepts are explained,  More...

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Book details

List price: $27.00
Edition: 3rd
Copyright year: 1980
Publisher: Harvard University Press
Publication date: 10/15/1980
Binding: Paperback
Pages: 144
Size: 5.50" wide x 8.25" long x 0.50" tall
Weight: 0.330
Language: English

Now much revised since its first appearance in 1941, this book, despite its brevity, is notable for its scope and rigor. It provides a single strand of simple techniques for the central business of modern logic. Basic formal concepts are explained, the paraphrasing of words into symbols is treated at some length, and a testing procedure is given for truth-function logic along with a complete proof procedure for the logic of quantifiers. Fully one third of this revised edition is new, and presents a nearly complete turnover in crucial techniques of testing and proving, some change of notation, and some updating of terminology. The study is intended primarily as a convenient encapsulation of minimum essentials, but concludes by giving brief glimpses of further matters.

Preface to the Revised Edition Preface to the 1941 Edition
Introduction
Statement Composition
Truth Values
Conjunction
Denial
'Or'
'But', 'although', 'unless'
'If'
General and Subjunctive Conditionals
'Because', 'hence', 'that'
Reduction to Conjunction and Denial
Grouping
Verbal Cues to Grouping
Paraphrasing Inward
Truth-Functional Transformations
Substitution in Truth-Functional Schemata
Instances
Equivalent Schemata
Truth-Functional Equivalence
Replacement
Transformation
Proofs of Equivalence
Alternation and Duality
Normal Schemata
Validity
Truth-Functional Truth
Inconsistency and Truth-Functional Falsity
Implication between Schemata
Truth-Functional Implication
Quantification
'Something'
Quantifiers
Variables and Open Sentences
Variants of 'Some'
'Some' Restricted
'No'
'Every'
Variants of 'Every'
Persons
Times and Places
Quantification in Context
Quantificational Inference
Quantificational Schemata
Predicates
Restraints on Introducing
Substitution Extended
Validity Extended
Equivalence Extended
Inconsistency Proofs
Logical Arguments
Identity and Singular Terms
Membership
Index

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