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25 Remote Warehouse Mathematics- Logic and Philosophy

Logic for Mathematicians

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Logic for Mathematicians Cover

 

Synopses & Reviews

Publisher Comments:

Hailed by the Bulletin of the American Mathematical Society as "undoubtedly a major addition to the literature of mathematical logic," this volume examines the essential topics and theorems of mathematical reasoning. No background in logic is assumed, and the examples are chosen from a variety of mathematical fields.

Starting with an introduction to symbolic logic, the first eight chapters develop logic through the restricted predicate calculus. Topics include the statement calculus, the use of names, an axiomatic treatment of the statement calculus, descriptions, and equality. Succeeding chapters explore abstract set theory—with examinations of class membership as well as relations and functions—cardinal and ordinal arithmetic, and the axiom of choice. An invaluable reference book for all mathematicians, this text is suitable for advanced undergraduates and graduate students. Numerous exercises make it particularly appropriate for classroom use.

Synopsis:

Examination of essential topics and theorems assumes no background in logic. "Undoubtedly a major addition to the literature of mathematical logic." — Bulletin of the American Mathematical Society. 1978 edition.

Synopsis:

Examination of essential topics and theorems assumes no background in logic. "Undoubtedly a major addition to the literature of mathematical logic." — Bulletin of the American Mathematical Society. 1978 edition.

Table of Contents

Preface
List of Symbols
1. What Is Symbolic Logic?
2. The Statement Calculus
3. The use of Names
4. Axiomatic Treatment of the Statement Calculus
5. Clarification
6. The Restricted Predicate Calculus
7. Equality
8. Descriptions
9. Class Membership
10. Relations and Functions
11. Cardinal Numbers
12. Ordinal Numbers
13. Counting
14. The Axiom of Choice
15. We Rest Our Case
A Proof of the Axiom of Infinity
The Axiom of Counting
The Axiom of Choice
Nonstandard Analysis
Bibliography
Index
 

Product Details

ISBN:
9780486468983
Author:
Rosser, J. Barkley, Jr.
Publisher:
Dover Publications
Author:
Rosser, J. Barkley, Jr. JR.
Author:
Mathematics
Subject:
Logic
Subject:
Logic, symbolic and mathematical
Subject:
Mathematics-Logic and Philosophy
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Publication Date:
20081231
Binding:
TRADE PAPER
Language:
English
Pages:
590
Dimensions:
9.25 x 6.13 in 1.48 lb

Related Subjects


Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » Foundations and Logic
Science and Mathematics » Mathematics » Logic and Philosophy

Logic for Mathematicians New Trade Paper
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Product details 590 pages Dover Publications - English 9780486468983 Reviews:
"Synopsis" by ,
Examination of essential topics and theorems assumes no background in logic. "Undoubtedly a major addition to the literature of mathematical logic." — Bulletin of the American Mathematical Society. 1978 edition.
"Synopsis" by ,
Examination of essential topics and theorems assumes no background in logic. "Undoubtedly a major addition to the literature of mathematical logic." — Bulletin of the American Mathematical Society. 1978 edition.
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