Chapter 3.3 Good For
This assignment is due 48 hours after the Chapter Test is
given.
- Good Fors' solutions can be turned in anytime before 5:00
PM two days after the Chapter Test.
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- Answers must be accompanied by valid reasoning. Just like
the tests, the answer alone isn't enough!
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"The Enigma"
Cryptology is the science of making and breaking enciphered
information. One of the most famous ciphering machines was called
the Enigma. It was the major code machine used by the German
forces during World War II. Hitler believed that the Enigma codes
were unbreakable because the machine was capable of being set
up in a vast number of ways to encipher a message. On just three
rotors of the machine this came to 150,000,000,000,000,000,000
possible combinations.
In order to read an enciphered German message, the British
code breakers had to find which one of the vast number of settings
had been used -- a near impossible task for the human brain.
To tackle this problem, Alan Mathison Turing (1912 - 1954, a
British mathematician and the founder of the theory of computation,
computability, and modern computer science) designed the Turing
Bombe, which was a powerful deciphering search engine.
A Turing Machine is a simple imaginary device invented by
Alan Turing before computers existed. The Turing Machine basically
consists of a tape, a read-write head, and a program. Turing
showed that computation could be satisfied by a machine that
consisted of a tape of unlimited length with little square cells,
and a device with a finite number of states that could read symbols
from the tape. Based on that symbol and current state, it could
write another symbol over the current symbol and change the current
state. Finally, it could move left or right on the tape.
Alan Turing was born at Paddington, London. His father, Julius
Mathison Turing, was a British member of the Indian Civil Service
and he was often abroad. Alan's mother, Ethel Sara Stoney, was
the daughter of the chief engineer of the Madras railways and
Alan's parents had met and married in India. When Alan was about
one year old his mother rejoined her husband in India, leaving
Alan in England with friends of the family. Alan was sent to
school but did not seem to be achieving academically, so he was
removed from the school after a few months.
Next he was sent to Hazlehurst Preparatory School where he
seemed to be an average to good pupil in most subjects but was
greatly taken up with following his own ideas. He became interested
in chess while at this school and he joined the debating society.
Now 1926 was the year of the general strike and when the strike
was in progress Turing cycled 60 miles to the school from his
home, not too demanding a task for Turing who later was to become
a fine athlete of almost Olympic standard. He found it very difficult
to fit into what was expected at this public school. Many of
the most original thinkers have found conventional schooling
an almost incomprehensible process and this seems to have been
the case for Turing. His genius drove him in his own directions
rather than those required by his teachers.
In 1938, he received his Ph.D. at Princeton University. His
specialties were probability and logic. The use of mathematical
logic by Turing to decipher the Enigma messages is considered
by most scientific historian to be one of the most important
scientific works during the war, second only to the development
of the atomic bomb. Turing was also a top-ranked competitive
cross-country runner who due to an injury was not considered
for the British team in the 1948 Olympic Games.
In 1950, Alan Turing wrote a paper entitled "Computing
Machinery and Intelligence". Turing set out to consider
the question "Can machines think?" by proposing a test
for intelligence. Turing held that computers would in time be
programmed to acquire abilities rivaling human intelligence,
acknowledging the difficulty people would have accepting such
a machine, a problem that still plagues artificial intelligence
today. In his mind, there was nothing the brain could do that
a well-designed computer could not.
In 1952, the British government, which awarded Turing the
highest civilian medal of honor during the war, convicted him
of being homosexual under an antiquated law.
In 1952, Alan Turing went to the police because he was being
threatened with blackmail. After making his police report, Turing
was arrested for violation of British homosexuality laws when
he confessed to police the details of his sexual relationships
with another man. Turing, wanting to be open, made no serious
denial about his sexuality. Offering no defense other than that
he saw no wrong in his actions, was convicted as a homosexual.
As an alternative to prison, he was given injections of oestogen
intended to eliminate his sexual drive.
During the Cold War, homosexuals were considered a security
risk and after Turing's conviction, he became ineligible for
security clearance. In addition, security officers were extremely
worried that Turing with complete knowledge of decoding secretes
was now labeled a security risk. Alan Turing had many foreign
colleagues, as any academic would, the police began to investigate
his foreign visitors. A vacation to Greece in 1953, could not
have pleased the security officers.
Alan Turing was found at home by his cleaning lady, he had
died of potassium cyanide poisoning on June 7, 1954. The cyanide
was found on a partially eaten apple next to his bed. His mother
claims he had accidentally poisoned himself while conducting
electrolysis experiments; however, the medical examiner concluded
suicide. Others claim he had killed himself to prevent embarrassment
about his homosexuality while successfully contriving his death
to allow his mother alone to believe it was an accident.
References
Check out these resources for additional information:
Crockett, Larry J. The Turing Test and the Frame Problem.
Ablex Publishing Company, 1994, New Jersey.
Hinsley, F. H., Alan Stripp. Codebreakers. Oxford University
Press, 1993, New York.
Hodges, Andrew. Alan Turing: The Enigma, Simon &
Schuster,1983, New York.
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Question: Do you believe a machine think? Explain under what
conditions this would be possible.
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