Mathematical Logic

by Joseph R. Shoenfield

Overview

This classic introduction to the main areas of mathematical logic provides the basis for a first graduate course in the subject. It embodies the viewpoint that mathematical logic is not a collection of vaguely related results, but a coherent method of attacking some of the most interesting problems, which face the mathematician. The author presents the basic concepts in an unusually clear and accessible fashion, concentrating on what he views as the central topics of mathematical logic: proof theory, model theory, recursion theory, axiomatic number theory, and set theory. There are many exercises, and they provide the outline of what amounts to a second book that goes into all topics in more depth. This book has played a role in the education of many mature and accomplished researchers.

Product Details

ISBN-13:	9781351433303
Publisher:	CRC Press
Publication date:	05/02/2018
Sold by:	Barnes & Noble
Format:	eBook
Pages:	356
File size:	21 MB
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About the Author

Joseph R. Shoenfield

Table of Contents

PREFACE, Dedication, Chapter 1: The Nature of Mathematical Logic, Chapter 2: First-Order Theories, Chapter 3: Theorems in First-Order Theories, Chapter 4: The Characterization Problem, Chapter 5: The Theory of Models, Chapter 6: Incompleteness and Undecidability, Chapter 7: Recursion Theory, Chapter 8: The Natural Numbers, Chapter 9: Set Theory, Appendix The Word Problem, Index

What People are Saying About This

From the Publisher

" "classic text is as fresh and useful today as when first published. Noted for the economy of its presentation, it includes a wealth of basic and key results from all parts of mathematical logic." -Solomon Feferman, Stanford University, January 2001

"The book remains an excellent introduction to logic . . . reads as a continuous whole, not a set of isolated topics . . . " -C. W. Kilmister, The Mathematical Gazette, July 2003"

Editorial Reviews

A textbook for a one-year graduate course for students familiar with the simplest properties of natural numbers, real numbers, and sets and a slight acquaintance with modern algebra, though some of the problems require more advanced learning. Shoenfield (deceased; formely affiliated with Duke U.) focuses on the central theories of proofs, models, recursion, axiomatic numbers, and sets. There is no bibliography. Addison-Wesley published the original as part of a series on logic. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Booknews

"classic text is as fresh and useful today as when first published. Noted for the economy of its presentation, it includes a wealth of basic and key results from all parts of mathematical logic." -Solomon Feferman, Stanford University, January 2001
/ "The book remains an excellent introduction to logic . . . reads as a continuous whole, not a set of isolated topics . . . " -C. W. Kilmister, The Mathematical Gazette, July 2003

From the Publisher