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What Is Mathematical Logic?

by

What Is Mathematical Logic? Cover

 

Synopses & Reviews

Publisher Comments:

Although mathematical logic can be a formidably abstruse topic, even for mathematicians, this concise book presents the subject in a lively and approachable fashion. It deals with the very important ideas in modern mathematical logic without the detailed mathematical work required of those with a professional interest in logic.

The book begins with a historical survey of the development of mathematical logic from two parallel streams: formal deduction, which originated with Aristotle, Euclid, and others; and mathematical analysis, which dates back to Archimedes in the same era. The streams began to converge in the seventeenth century with the invention of the calculus, which ultimately brought mathematics and logic together. The authors then briefly indicate how such relatively modern concepts as set theory, Gödel's incompleteness theorems, the continuum hypothesis, the Löwenheim-Skolem theorem, and other ideas influenced mathematical logic.

The ideas are set forth simply and clearly in a pleasant style, and despite the book's relative brevity, there is much covered on these pages. Nonmathematicians can read the book as a general survey; students of the subject will find it a stimulating introduction. Readers will also find suggestions for further reading in this lively and exciting area of modern mathematics.

Synopsis:

A serious introductory treatment geared toward non-logicians, this survey traces the development of mathematical logic from ancient to modern times and discusses the work of Planck, Einstein, Bohr, Pauli, Heisenberg, Dirac, and others. 1972 edition.

Synopsis:

This introduction to the main ideas and results of mathematical logic is a serious treatment geared toward non-logicians. Starting with a historical survey of logic in ancient times, it traces the 17th-century development of calculus and discusses modern theories, including set theory, the continuum hypothesis, and other ideas. 1972 edition.

Synopsis:

This lively introduction to mathematical logic, easily accessible to nonmathematicians, offers an historical survey, coverage of predicate calculus, model theory, Godel's theorems, computability and recursive functions, consistency and independence in axiomatic set theory, and much more. Suggestions for Further Reading. Diagrams.

Description:

Includes bibliographical references (p. [79]) and index.

Table of Contents

Introduction

1. Historical Survey

2. The Completeness of Predicate Calculus

3. Model Theory

4. Turing Machines and Recursive Functions

5. Gödel's Incompleteness Theorems

6. Set Theory

  Some Suggestions for Further Reading

  Index

Product Details

ISBN:
9780486264042
Other:
Crossley, J. N.
Publisher:
Dover Publications
Author:
rickhill
Author:
et al
Author:
Stillwell, J. C.
Author:
Crossley, J. N.
Author:
Brickhill, C.J.
Author:
Davis, Frances A.
Author:
C.J. B
Author:
Ash, C. J.
Location:
New York :
Subject:
General
Subject:
General science
Subject:
Logic
Subject:
Logic, symbolic and mathematical
Subject:
General Science
Subject:
General Mathematics
Subject:
Mathematics-Logic and Philosophy
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Series Volume:
73
Publication Date:
20101031
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
96
Dimensions:
8.5 x 5.38 in 0.32 lb

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Related Subjects

Humanities » Philosophy » Logic
Reference » Science Reference » General
Science and Mathematics » History of Science » General
Science and Mathematics » Mathematics » Foundations and Logic
Science and Mathematics » Mathematics » Logic and Philosophy
Young Adult » General

What Is Mathematical Logic? New Trade Paper
0 stars - 0 reviews
$6.95 In Stock
Product details 96 pages Dover Publications - English 9780486264042 Reviews:
"Synopsis" by ,
A serious introductory treatment geared toward non-logicians, this survey traces the development of mathematical logic from ancient to modern times and discusses the work of Planck, Einstein, Bohr, Pauli, Heisenberg, Dirac, and others. 1972 edition.
"Synopsis" by ,
This introduction to the main ideas and results of mathematical logic is a serious treatment geared toward non-logicians. Starting with a historical survey of logic in ancient times, it traces the 17th-century development of calculus and discusses modern theories, including set theory, the continuum hypothesis, and other ideas. 1972 edition.
"Synopsis" by ,
This lively introduction to mathematical logic, easily accessible to nonmathematicians, offers an historical survey, coverage of predicate calculus, model theory, Godel's theorems, computability and recursive functions, consistency and independence in axiomatic set theory, and much more. Suggestions for Further Reading. Diagrams.

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