Formal Logic
By Richard C. Jeffrey

# Formal Logic

## Its Scope and Limits 4th Revised edition

By (author)
Edited by John P. Burgess
Format: Paperback
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# Formal Logic by Richard C. Jeffrey

Book Description

The first beginning logic text to employ the tree method--a complete formal system of first-order logic that is remarkably easy to understand and use--this text allows students to take control of the nuts and bolts of formal logic quickly, and to move on to more complex and abstract problems. The tree method is elaborated in manageable steps over five chapters, in each of which its adequacy is reviewed; soundness and completeness proofs are extended at each step, and the decidability proof is extended at the step from truth functions to the logic of nonoverlapping quantifiers with a single variable, after which undecidability is demonstrated by example. The first three chapters are bilingual, with arguments presented twice, in logical notation and in English. The last three chapters consider the discoveries defining the scope and limits of formal methods that marked logics coming of age in the 20th century: Godels completeness and incompleteness theorems for first and second-order logic, and the Church-Turing theorem on the undecidability of first-order logic. This new edition provides additional problems, solutions to selected problems, and two new Supplements: Truth-Functional Equivalence reinstates material on that topic from the second edition that was omitted in the third, and Variant Methods, in which John Burgess provides a proof regarding the possibility of modifying the tree method so that it will always find a finite model when there is one, and another, which shows that a different modificationonce contemplated by Jeffrey--can result in a dramatic speed--up of certain proofs.

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Book Details

ISBN: 9780872208131
ISBN-10: 0872208133
Format: Paperback
(228mm x 6mm x 15mm)
Pages: 192
Imprint: Hackett Publishing Co, Inc
Publisher: Hackett Publishing Co, Inc
Publish Date: 15-Mar-2006
Country of Publication: United States

## Books By Author Richard C. Jeffrey

Computability and Logic, Paperback (September 2007)

Computability and Logic is a classic because of its accessibility to students without a mathematical background. This fifth edition was first published in 2007.

Logic, Logic and Logic, Paperback (September 1999)

This collection of George Boolos work includes 30 papers on set theory, second-order logic, and plural quantifiers; on Frege, Dedekind, Cantor, and Russell; and on miscellaneous topics in logic and proof theory, including three papers on various aspects of the Godel theormes.

Probability and the Art of Judgment, Paperback (March 1992)

This collection of essays on decision theory and theory of knowledge spans a period of some 35 years and includes what have become some of the classic works in the field. There is also one completely new piece, while in many instances the author includes afterthoughts on the older essays.

Logic of Decision, Paperback (July 1990)

"[This book] proposes new foundations for the Bayesian principle of rational action, and goes on to develop a new logic of desirability and probabtility." Frederic Schick, "Journal of Philosophy""

» View all books by Richard C. Jeffrey

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## Author Biography - Richard C. Jeffrey

Richard Jeffrey (1926-2002) was Professor of Philosophy, Princeton University.

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