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Computing
book

Computing

by Yoshihide Igarashi, Tom Altman, Mariko Funada, Barbara Kamiyama
May 2014
Intermediate to advanced
350 pages
9h 55m
English
Chapman and Hall/CRC
Content preview from Computing
129
Chapter 16
Computability
andIts Limitations
Until the mid 1930s the notion of computability had not yet been math-
ematically well established, which is natural since the rst electronic com-
puters were not constructed until the Colossus, ENIAC, and EDVAC were
built in the 1940s. It is quite interesting that the computational limita-
tions of these (as well as all future) computers had already been proven
mathematically in 1936.
16.1 GÖDEL’S INCOMPLETENESS THEOREM
At the turn of the 19th century, the German mathematician David Hilbert
(1862–1943) set out to nd an algorithm for determining the truth or false-
hood of any mathematical proposition. ...
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Publisher Resources

ISBN: 9781482227413