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Gödel's way : = exploits into an un...

Chaitin, Gregory J.

Gödel's way : = exploits into an undecidable world /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Gödel's way :/ Gregory Chaitin, Newton C.A. da Costa & Francisco A. Doria.
其他題名:	exploits into an undecidable world /
作者:	Chaitin, Gregory J.
其他作者:	Costa, Newton C. A. da.
出版者:	Boca Raton :CRC Press, : c2012.,
面頁冊數:	xxi, 138 p. :ill. ; : 24 cm.;
附註:	"A Balkema book."
標題:	Gödel's theorem. -
ISBN:	9780415690850 (pbk.) :

Gödel's way : = exploits into an undecidable world /
Chaitin, Gregory J.

Gödel's way :exploits into an undecidable world /Gregory Chaitin, Newton C.A. da Costa & Francisco A. Doria. - Boca Raton :CRC Press,c2012. - xxi, 138 p. :ill. ;24 cm.

"A Balkema book."

Includes bibliographical references (p. 130-138).

"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 20th century, with his contributions extending to Einstein's general relativity, as he proved that Einstein's theory admits time machines. The Gödel incompleteness phenomenon - one cannot prove nor disprove all true mathematical sentences in the usual formal 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.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. "--

ISBN: 9780415690850 (pbk.) :NT1237

LCCN: 2011033943Subjects--Topical Terms:

833019
Gödel's theorem.

LC Class. No.: QA9.65 / .C428 2012

Dewey Class. No.: 511.3

Gödel's way : = exploits into an undecidable world /
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245 1 0 $a Gödel's way : $b exploits into an undecidable world / $c Gregory Chaitin, Newton C.A. da Costa & Francisco A. Doria.
260 $a Boca Raton : $c c2012. $b CRC Press,
300 $a xxi, 138 p. : $b ill. ; $c 24 cm.
500 $a "A Balkema book."
504 $a Includes bibliographical references (p. 130-138).
520 $a "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 20th century, with his contributions extending to Einstein's general relativity, as he proved that Einstein's theory admits time machines. The Gödel incompleteness phenomenon - one cannot prove nor disprove all true mathematical sentences in the usual formal 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.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. "-- $c Provided by publisher.
520 $a "This accessible book gives a new detailed and elementary proof of the Gödel incompleteness theorems and then 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 lively historical report, the personal stories about the main character, and the writing process of this volume make it appealing leisure reading for those interested in mathematics, logic, physics, philosophy and computer sciences"-- $c Provided by publisher.
650 0 $a Gödel's theorem. $3 833019
700 1 $a Costa, Newton C. A. da. $3 833018
700 1 $a Doria, Francisco Antônio. $3 833017