I. J. Good

For other people named John Good, see John Good (disambiguation).

Irving John ("I.J."; "Jack") Good (9 December 1916 – 5 April 2009) was a British mathematician who worked as a cryptologist at Bletchley Park with Alan Turing. After World War II, Good continued to work with Turing on the design of computers and Bayesian statistics at the University of Manchester. Good moved to the United States where he was professor at Virginia Tech.

He was born Isadore Jacob Gudak to a Polish-Jewish family in London. He later anglicized his name to Irving John Good and signed his publications "I. J. Good."

Irving John ("I.J.") Good
Born	(1916-12-09)9 December 1916 London, England, UK
Died	April 5, 2009(2009-04-05) (aged 92) Radford, Virginia, USA
Fields	Statistician, cryptologist
Institutions	Trinity College, Oxford; Virginia Tech
Alma mater	Jesus College, Cambridge
Doctoral advisor	G. H. Hardy

An originator of the concept now known as "technological singularity," Good served as consultant on supercomputers to Stanley Kubrick, director of the 1968 film 2001: A Space Odyssey.

Life

Good was born Isadore Jacob Gudak to Polish-Jewish parents in London. His father was a watchmaker, who later managed and owned a successful fashionable jewelry shop, and was also a notable Yiddish writer writing under the pen-name of Moshe Oved. Good was educated at Haberdashers' Aske's Boys' School in Hampstead, north London, where, Dan van der Vat writes, Good effortlessly outpaced the mathematics curriculum.

Good studied mathematics at Jesus College, Cambridge, graduating in 1938 and winning the Smith's Prize in 1940. He did research under G.H. Hardy and Besicovitch before moving to Bletchley Park in 1941 on completing his doctorate.

Bletchley Park

On 27 May 1941, having just obtained his doctorate at Cambridge, Good walked into Hut 8, Bletchley's facility for breaking German naval ciphers, for his first shift. This was the day that Britain's Royal Navy destroyed the German battleship Bismarck after it had sunk the Royal Navy's HMS Hood. Bletchley had contributed to Bismarck's destruction by discovering, through wireless-traffic analysis, that the German flagship was sailing for Brest, France, rather than Wilhelmshaven, from which she had set out. Hut 8 had not, however, been able to decrypt on a current basis the 22 German Naval Enigma messages that had been sent to Bismarck. The German Navy's Enigma ciphers were considerably more secure than those of the German Army or Air Force, which had been well penetrated by 1940. Naval messages were taking three to seven days to decrypt, which usually made them operationally useless for the British. This was about to change, however, with Good's help.

Alan Turing... had caught Good sleeping on the floor while on duty during his first night shift. At first, Turing thought Good was ill, but he was cross when Good explained that he was just taking a short nap because he was tired. For days afterwards, Turing would not deign to speak to Good, and he left the room if Good walked in. The new recruit only won Turing's respect after he solved the bigram tables problem. During a subsequent night shift, when there was no more work to be done, it dawned on Good that there might be another chink in the German indicating system. The German telegraphists had to add dummy letters to the trigrams which they selected out of the kenngruppenbuch... Good wondered if their choice of dummy letters was random, or whether there was a bias towards particular letters. After inspecting some messages which had been broken, he discovered that there was a tendency to use some letters more than others. That being the case, all the codebreakers had to do, was to work back from the indicators given at the beginning of each message, and apply each bigram table in turn in the same way as Joan Clarke had done before. The bigram table which produced one of the popular dummy letters was probably the correct one. When Good mentioned his discovery to Alan Turing, Turing was very embarrassed, and said, 'I could have sworn that I tried that.' It quickly became an important part of the Banburismus procedure. Jack Good's refusal to go on working when tired was vindicated by a subsequent incident. During another long night shift, he had been baffled by his failure to break a doubly enciphered Offizier message. This was one of the messages which was supposed to be enciphered initially with the Enigma set up in accordance with the Offizier settings, and subsequently with the general Enigma settings in place. However, while he was sleeping before returning for another shift, he dreamed that the order had been reversed; the general settings had been applied before the Offizier settings. Next day he found that the message had yet to be read, so he applied the theory which had come to him during the night. It worked; he had broken the code in his sleep.

Good served with Turing for nearly two years.

Subsequently he worked with Donald Michie in Max Newman's group on the Fish ciphers, leading to the development of the Colossus computer.

Postwar work

In 1947 Newman invited Good to join him and Turing at Manchester University. There for three years Good lectured in mathematics and researched computers, including the Manchester Mark 1.

In 1948 Good was recruited by the Government Communications Headquarters (GCHQ), successor to Bletchley Park. He remained there until 1959, while also taking up a brief associate professorship at Princeton University and a short consultancy with IBM.

From 1959 until he moved to the U.S. in 1967, Good held government-funded positions and from 1964 a senior research fellowship at Trinity College, Oxford, and the Atlas Computer Laboratory, where he continued his interests in computing, statistics and chess. He later left Oxford, declaring it "a little stiff".

United States

In 1967 Good moved to the United States, where he was appointed a research professor of statistics at Virginia Polytechnic Institute and State University. In 1969 he was appointed a University Distinguished Professor at Virginia Tech, and in 1994 Emeritus University Distinguished Professor.

Here's something he had later said about his arrival in Virginia (from England) in 1967 to start teaching at VPI, where he taught from 1967 to 1994:

"I arrived in Blacksburg in the seventh hour of the seventh day of the seventh month of the year seven in the seventh decade, and I was put in Apartment 7 of Block 7...all by chance."

Research and publications

Good's published work ran to over three million words. He was known for his work on Bayesian statistics. He published a number of books on probability theory. In 1958 he published an early version of what later became known as the Fast Fourier Transform but it did not became widely known. He played chess to county standard and helped popularize Go, an Asian boardgame, through a 1965 article in New Scientist (he had learned the rules from Alan Turing). In 1965 he originated the concept now known as "technological singularity," which anticipates the eventual advent of superhuman intelligence:

Let an ultraintelligent machine be defined as a machine that can far surpass all the intellectual activities of any man however clever. Since the design of machines is one of these intellectual activities, an ultraintelligent machine could design even better machines; there would then unquestionably be an 'intelligence explosion,' and the intelligence of man would be left far behind. Thus the first ultraintelligent machine is the last invention that man need ever make.

Good's authorship of treatises such as "Speculations Concerning the First Ultraintelligent Machine" and "Logic of Man and Machine" (both 1965) made him the obvious person for Stanley Kubrick to consult when filming 2001: A Space Odyssey (1968), one of whose principal characters was the paranoid HAL 9000 supercomputer. In 1995 Good was elected a member of the Academy of Motion Picture Arts and Sciences.

Personality

The slender, bushy-moustached Good was blessed with a sense of humor. He published a paper under the names IJ Good and "K Caj Doog"—the latter, his own nickname spelled backwards. In a 1988 paper, he introduced its subject by saying, "Many people have contributed to this topic but I shall mainly review the writings of I. J. Good because I have read them all carefully." In Virginia he chose, as his vanity license plate, "007IJG," in subtle reference to his World War II intelligence work.

Death

Good died on 5 April 2009 of natural causes in Radford, Virginia, aged 92.

Books

• Probability and the Weighing of Evidence (1950), Griffin, London.
• Information, Weight of Evidence: The Singularity Between Probability Measures and Signal Detection (1974) with D.B. Osteyee, Springer, ISBN 978-3-540-06726-9.
• Good Thinking: The Foundations of Probability and Its Applications (1983) University of Minnesota Press. Republished by Dover in 2009.

See also

• Good-Turing frequency estimation
• Cryptanalysis of the Enigma
• MacMahon Master theorem

References

• Dan van der Vat, "Jack Good" (obituary), The Guardian, 29 April 2009, p. 32.
• Hugh Sebag-Montefiore, Enigma: The Battle for the Code, London, Weidenfeld & Nicolson, 2000, ISBN 978-0-297-84251-4.

External links

• I. J. Good at the Mathematics Genealogy Project
• Good's web page at Virginia Tech
• Bibliography ("Shorter Publications List", running to 2300 items) (PDF)
• Biography focusing on Good's role in the history of computing
• Project Euclid An interview with Good can be downloaded from here
• VT Image Base Photographs
• Obituary, Virginia Tech, 6 April 2009
• Obituary, Daily Telegraph, 10 April 2009
• Obituary, The Times, 16 April 2009
• Obituary, The Independent, 14 May 2009
• Eulogy Mathematical eulogy (with Maple code) by Doron Zeilberger, 2 December 2009