Goedel''s Way : Exploits into an undecidable world
By: Chaitin, Gregory.
Contributor(s): Doria, Francisco A | da Costa, Newton C.A.Material type: TextSeries: eBooks on Demand.Publisher: Hoboken : Taylor and Francis, 2012Description: 1 online resource (162 p.).ISBN: 9781136587641.Subject(s): Feminism and literature -- Great Britain -- History | France -- History -- Revolution, 1789-1799 -- Influence | Hamilton, Elizabeth, 1756?-1816 -- Political and social views | Literary form -- History | Politics in literature | Women and literature -- Great Britain -- HistoryGenre/Form: Electronic books.Additional physical formats: Print version:: Goedel''s Way : Exploits into an undecidable worldDDC classification: 511.3 | 823/.6 Online resources: Click here to view this ebook.
|Item type||Current location||Call number||URL||Status||Date due||Barcode|
|Electronic Book||UT Tyler Online Online||PR4739.H164 Z68 2012 (Browse shelf)||http://uttyler.eblib.com/patron/FullRecord.aspx?p=870671||Available||EBL870671|
Front Cover; Contents; Prologue; Acknowledgments; About the Authors; A Caveat; 1. Gödel, Turing; 2. Complexity, Randomness; 3. A List of Problems; 4. The Halting Function and its Avatars; 5. Entropy, P vs. NP; 6. Forays into Uncharted Landscapes; References
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 allows for time machines. The Gödel incompleteness theorem - 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.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. See also: http://www.youtube.com/watch?v=REy9noY5Sg8
Description based upon print version of record.