The Turing Guide
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CHAPTER 5 A century of Turing stephen wolfram I never met Alan Turing; he died five years before I was born. But somehow I feel ...
44 | 5 A CENTURy Of TURING early 1980s, for example, I had become very interested in theories of biological growth—only to find ...
wOlfRAm | 45 built and programmed. (Von Neumann had known about Turing’s paper in 1936, but at the time did not fully recognize ...
46 | 5 A CENTURy Of TURING I probably simulated my first explicit Turing machine only in 1991. To me, Turing machines were built ...
wOlfRAm | 47 In addition to his intellectual work, Turing has recently become something of a folk hero, most notably through the ...
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CHAPTER 6 Turing’s great invention: the universal computing machine jack copeland T here is no such person as the inventor of th ...
50 | 6 TURING’S GREAT INVENTION the foundations of mathematics. No-one could have guessed that anything of practical value would ...
COPElAND | 51 key idea of storing programs in memory. But Flowers, who wanted to get Colossus working as quickly as possible, se ...
52 | 6 TURING’S GREAT INVENTION Turing’s plans caught the interest of the British press, with headlines such as ‘ “ACE” may be f ...
COPElAND | 53 When he arrived at the Manchester Computing Machine Laboratory, Baby was working in only a rudimentary way, and Tu ...
54 | 6 TURING’S GREAT INVENTION short-term memory; for example, the moving scanner can ‘remember’ that the square it is vacating ...
COPElAND | 55 Turing and von Neumann: two founding fathers of the computer age Probably Turing’s greatest peacetime achievement ...
56 | 6 TURING’S GREAT INVENTION Frankel explained that: he firmly emphasized to me, and to others I am sure, that the fundamenta ...
CHAPTER 7 Hilbert and his famous problem jack copeland I n 1936 mathematics was changing profoundly, thanks to Turing and his fe ...
58 | 7 HIlBERT AND HIS fAmOUS PROBlEm Eternally incomplete Kurt Gödel (Fig. 7.1), a taciturn 25-year-old mathematician from Vien ...
COPElAND | 59 Hilbert’s Entscheidungsproblem Gödel’s epoch-making result, however, seemed to leave open one of the most fundamen ...
60 | 7 HIlBERT AND HIS fAmOUS PROBlEm By using programs stored in memory, Turing argued, the universal machine can carry out eve ...
COPElAND | 61 Turing showed, however, that digital super-optimism is false.^17 It is definitely not the case that all well-defin ...
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