Popular Lectures on Mathematical Logic (Dover Books on Mathematics) - Softcover

Wang, Hao

 
9780486676326: Popular Lectures on Mathematical Logic (Dover Books on Mathematics)

Inhaltsangabe

A noted logician and philosopher addresses various forms of mathematical logic, discussing both theoretical underpinnings and practical applications. Author Hao Wang surveys the central concepts and theories of the discipline in a historical and developmental context, and then focuses on the four principal domains of contemporary mathematical logic: set theory, model theory, recursion theory and constructivism, and proof theory.
Topics include the place of problems in the development of theories of logic and logic's relation to computer science. Specific attention is given to Gödel's incompleteness theorems, predicate logic and its decision and reduction problems, constructibility and Cantor's continuum hypothesis, proof theory and Hilbert's program, hierarchies and unification, proof of the four-color problem, the Diophantine problem, the tautology problem, and many other subjects. Three helpful Appendixes conclude the text.

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Über die Autorin bzw. den Autor

Hao Wang (1921–95) was a Chinese-American mathematician, logician, and philosopher. He taught at Harvard, Oxford, and Rockefeller University.

Von der hinteren Coverseite

A noted logician and philosopher addresses various forms of mathematical logic, discussing both theoretical underpinnings and practical applications. Author Hao Wang surveys the central concepts and theories of the discipline in a historical and developmental context, and then focuses on the four principal domains of contemporary mathematical logic: set theory, model theory, recursion theory and constructivism, and proof theory.
Topics include the place of problems in the development of theories of logic and logic's relation to computer science. Specific attention is given to Gödel's incompleteness theorems, predicate logic and its decision and reduction problems, constructibility and Cantor's continuum hypothesis, proof theory and Hilbert's program, hierarchies and unification, proof of the four-color problem, the Diophantine problem, the tautology problem, and many other subjects. Three helpful Appendixes conclude the text.
Dover (2014) republication of the edition published by Van Nostrand Reinhold, New York, in 1981, and reissued by Dover in 1993 with a new Postscript by the author.
See every Dover book in print at
www.doverpublications.com

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ISBN 10:  0442231091 ISBN 13:  9780442231095
Verlag: Van Nostrand Reinhold Company, 1981
Hardcover