Gregory Chaitin, Newton C.A. da Costa & Francisco A. Doria
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Boca Raton :
Name of Publisher, Distributor, etc.
CRC Press,
Date of Publication, Distribution, etc.
c2012
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xxi, 138 p. :
Other Physical Details
ill. ;
Dimensions
24 cm
GENERAL NOTES
Text of Note
"A Balkema book."
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
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Includes bibliographical references (p. 130-138)
SUMMARY OR ABSTRACT
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Kurt Gödel (1906-1978) was an Austrian-American mathematician, who is best known for his incompleteness theorems. He was the greatest mathematical logician of the 20
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The Gödel incompleteness phenomenon - the usual formal mathematical systems cannot prove nor disprove all true mathematical sentences - is frequently presented in textbooks as something that happens in the rarefied realms of mathematical logic, and that has nothing to do with the real world. Practice shows the contrary though: one can demonstrate the validity of the phenomenon in various areas, ranging from chaos theory and physics to economics, and even ecology. In this lively treatise, based on Chaitin's groundbreaking work and on the da Costa-Doria results in physics, ecology, economics and computer science, the authors show that the Gödel incompleteness phenomenon can directly bear on the practice of science and perhaps on our everyday life
Text of Note
This accessible book gives a new, detailed and elementary explanation of the Gödel incompleteness theorems and presents the Chaitin results and their relation to the da Costa-Doria results, which are given in full, but with no technicalities. Besides theory, the historical report and personal stories about the main character and on this book's writing process, make it appealing leisure reading for those interested in mathematics, logic, physics, philosophy and computer sciences. Book jacket