Where was alan turing born
Alan Turing
English computer scientist (–)
"Turing" redirects here. For other uses, see Turing (disambiguation).
Alan Mathison Turing (; 23 June &#;– 7 June ) was an English mathematician, computer scientist, logician, cryptanalyst, philosopher and theoretical biologist.[5] He was highly influential in the development of theoretical computer science, providing a formalisation of the concepts of algorithm and computation with the Turing machine, which can be considered a model of a general-purpose computer.[6][7][8] Turing is widely considered to be the father of theoretical computer science.[9]
Born in London, Turing was raised in southern England.
He graduated from King's College, Cambridge, and in , earned a doctorate degree from Princeton University. During World War II, Turing worked for the Government Code and Cypher School at Bletchley Park, Britain's codebreaking centre that produced Ultra intelligence. He led Hut 8, the section responsible for German naval cryptanalysis. Turing devised techniques for speeding the breaking of German ciphers, including improvements to the pre-war Polish bomba method, an electromechanical machine that could find settings for the Enigma machine.
He played a crucial role in cracking intercepted messages that enabled the Allies to defeat the Axis powers in many engagements, including the Battle of the Atlantic.[10][11]
After the war, Turing worked at the National Physical Laboratory, where he designed the Automatic Computing Engine, one of the first designs for a stored-program computer.
In , Turing joined Max Newman's Computing Machine Laboratory at the Victoria University of Manchester, where he helped develop the Manchester computers[12] and became interested in mathematical biology. Turing wrote on the chemical basis of morphogenesis[13][1] and predicted oscillating chemical reactions such as the Belousov–Zhabotinsky reaction, first observed in the s.
Despite these accomplishments, he was never fully recognised during his lifetime because much of his work was covered by the Official Secrets Act.[14]
In , Turing was prosecuted for homosexual acts. He accepted hormone treatment, a procedure commonly referred to as chemical castration, as an alternative to prison.
Alan mathison turing death images This hypothetical singular machine could theoretically compute anything computable or solve any well-defined task when given a set of pre-defined rules or instructions. Retrieved 2 January In other projects. New U.Turing died on 7 June , aged 41, from cyanide poisoning. An inquest determined his death as suicide, but the evidence is also consistent with accidental poisoning.[15] Following a campaign in , British prime minister Gordon Brown made an official public apology for "the appalling way [Turing] was treated". Queen Elizabeth II granted a pardon in The term "Alan Turing law" is used informally to refer to a law in the UK that retroactively pardoned men cautioned or convicted under historical legislation that outlawed homosexual acts.[16]
Turing left an extensive legacy in mathematics and computing which has become widely recognised with statues and many things named after him, including an annual award for computing innovation.
His portrait appears on the Bank of England £50 note, first released on 23 June to coincide with his birthday.
Alan mathison turing death images free The MacTutor History of Mathematics archive. Born in London, Turing was raised in southern England. Wynne Press. Beavers, AnthonyThe audience vote in a BBC series named Turing the greatest person of the 20th century.
Early life and education
Family
Turing was born in Maida Vale, London, while his father, Julius Mathison Turing, was on leave from his position with the Indian Civil Service (ICS) of the British Raj government at Chatrapur, then in the Madras Presidency and presently in Odisha state, in India.[17][18] Turing's father was the son of a clergyman, the Rev.&#;John Robert Turing, from a Scottish family of merchants that had been based in the Netherlands and included a baronet.
Turing's mother, Julius's wife, was Ethel Sara Turing (née&#;Stoney), daughter of Edward Waller Stoney, chief engineer of the Madras Railways. The Stoneys were a ProtestantAnglo-Irishgentry family from both County Tipperary and County Longford, while Ethel herself had spent much of her childhood in County Clare.[19] Julius and Ethel married on 1 October at the Church of Ireland St.
Bartholomew's Church on Clyde Road in Ballsbridge, Dublin.[20]
Julius's work with the ICS brought the family to British India, where his grandfather had been a general in the Bengal Army. However, both Julius and Ethel wanted their children to be brought up in Britain, so they moved to Maida Vale,[21] London, where Alan Turing was born on 23 June , as recorded by a blue plaque on the outside of the house of his birth,[22][23] later the Colonnade Hotel.[17][24] Turing had an elder brother, John Ferrier Turing, father of Sir John Dermot Turing, 12th Baronet of the Turing baronets.[25]
Turing's father's civil service commission was still active during Turing's childhood years, and his parents travelled between Hastings in the United Kingdom[26] and India, leaving their two sons to stay with a retired Army couple.
At Hastings, Turing stayed at Baston Lodge, Upper Maze Hill, St Leonards-on-Sea, now marked with a blue plaque.[27] The plaque was unveiled on 23 June , the centenary of Turing's birth.[28]
Very early in life, Turing's parents purchased a house in Guildford in , and Turing lived there during school holidays.
The location is also marked with a blue plaque.[29]
School
Turing's parents enrolled him at St Michael's, a primary school at 20 Charles Road, St Leonards-on-Sea, from the age of six to nine. The headmistress recognised his talent, noting that she "had clever boys and hardworking boys, but Alan is a genius".[30]
Between January and , Turing was educated at Hazelhurst Preparatory School, an independent school in the village of Frant in Sussex (now East Sussex).[31] In , at the age of 13, he went on to Sherborne School,[32] an independent boarding school in the market town of Sherborne in Dorset, where he boarded at Westcott House.
The first day of term coincided with the General Strike, in Britain, but Turing was so determined to attend that he rode his bicycle unaccompanied 60 miles (97&#;km) from Southampton to Sherborne, stopping overnight at an inn.[33]
Turing's natural inclination towards mathematics and science did not earn him respect from some of the teachers at Sherborne, whose definition of education placed more emphasis on the classics.
His headmaster wrote to his parents: "I hope he will not fall between two stools. If he is to stay at public school, he must aim at becoming educated. If he is to be solely a Scientific Specialist, he is wasting his time at a public school".[34] Despite this, Turing continued to show remarkable ability in the studies he loved, solving advanced problems in without having studied even elementary calculus.
In , aged 16, Turing encountered Albert Einstein's work; not only did he grasp it, but it is possible that he managed to deduce Einstein's questioning of Newton's laws of motion from a text in which this was never made explicit.[35]
Christopher Morcom
At Sherborne, Turing formed a significant friendship with fellow pupil Christopher Collan Morcom (13 July – 13 February ),[36] who has been described as Turing's first love.[37][38][39] Their relationship provided inspiration in Turing's future endeavours, but it was cut short by Morcom's death, in February , from complications of bovine tuberculosis, contracted after drinking infected cow's milk some years previously.[40][41][42]
The event caused Turing great sorrow.
He coped with his grief by working that much harder on the topics of science and mathematics that he had shared with Morcom. In a letter to Morcom's mother, Frances Isobel Morcom (née Swan), Turing wrote:
I am sure I could not have found anywhere another companion so brilliant and yet so charming and unconceited.
I regarded my interest in my work, and in such things as astronomy (to which he introduced me) as something to be shared with him and I think he felt a little the same about me&#; I know I must put as much energy if not as much interest into my work as if he were alive, because that is what he would like me to do.[43]
Turing's relationship with Morcom's mother continued long after Morcom's death, with her sending gifts to Turing, and him sending letters, typically on Morcom's birthday.[44] A day before the third anniversary of Morcom's death (13 February ), he wrote to Mrs.
Morcom:
I expect you will be thinking of Chris when this reaches you. I shall too, and this letter is just to tell you that I shall be thinking of Chris and of you tomorrow. I am sure that he is as happy now as he was when he was here. Your affectionate Alan.[45]
Some have speculated that Morcom's death was the cause of Turing's atheism and materialism.[46] Apparently, at this point in his life he still believed in such concepts as a spirit, independent of the body and surviving death.
In a later letter, also written to Morcom's mother, Turing wrote:
Personally, I believe that spirit is really eternally connected with matter but certainly not by the same kind of body&#; as regards the actual connection between spirit and body I consider that the body can hold on to a 'spirit', whilst the body is alive and awake the two are firmly connected.
When the body is asleep I cannot guess what happens but when the body dies, the 'mechanism' of the body, holding the spirit is gone and the spirit finds a new body sooner or later, perhaps immediately.[47][48]
University and work on computability
After graduating from Sherborne, Turing applied for several Cambridge colleges scholarships, including Trinity and King's, eventually earning an £80 per annum scholarship (equivalent to about £4, as of ) to study at the latter.[49][50] There, Turing studied the undergraduate course in Schedule B (that is, a three-year Parts I and II, of the Mathematical Tripos, with extra courses at the end of the third year, as Part III only emerged as a separate degree in ) from February to November at King's College, Cambridge, where he was awarded first-class honours in mathematics.
His dissertation, On the Gaussian error function, written during his senior year and delivered in November (with a deadline date of 6 December) proved a version of the central limit theorem. It was finally accepted on 16 March By spring of that same year, Turing started his master's course (Part III)—which he completed in —and, at the same time, he published his first paper, a one-page article called Equivalence of left and right almost periodicity (sent on 23 April), featured in the tenth volume of the Journal of the London Mathematical Society.[51] Later that year, Turing was elected a Fellow of King's College on the strength of his dissertation[52] where he served as a lecturer.[53] However, and, unknown to Turing, this version of the theorem he proved in his paper, had already been proven, in , by Jarl Waldemar Lindeberg.
Despite this, the committee found Turing's methods original and so regarded the work worthy of consideration for the fellowship. Abram Besicovitch's report for the committee went so far as to say that if Turing's work had been published before Lindeberg's, it would have been "an important event in the mathematical literature of that year".[54][56]
Between the springs of and , at the same time as Alonzo Church, Turing worked on the decidability of problems, starting from Gödel's incompleteness theorems.
In mid-April , Turing sent Max Newman the first draft typescript of his investigations. That same month, Church published his An Unsolvable Problem of Elementary Number Theory, with similar conclusions to Turing's then-yet unpublished work. Finally, on 28 May of that year, he finished and delivered his page paper for publication called "On Computable Numbers, with an Application to the Entscheidungsproblem".[57] It was published in the Proceedings of the London Mathematical Society journal in two parts, the first on 30 November and the second on 23 December.[58] In this paper, Turing reformulated Kurt Gödel's results on the limits of proof and computation, replacing Gödel's universal arithmetic-based formal language with the formal and simple hypothetical devices that became known as Turing machines.
The Entscheidungsproblem (decision problem) was originally posed by German mathematician David Hilbert in Turing proved that his "universal computing machine" would be capable of performing any conceivable mathematical computation if it were representable as an algorithm. He went on to prove that there was no solution to the decision problem by first showing that the halting problem for Turing machines is undecidable: it is not possible to decide algorithmically whether a Turing machine will ever halt.
This paper has been called "easily the most influential math paper in history".[59]
Although Turing's proof was published shortly after Church's equivalent proof using his lambda calculus,[60] Turing's approach is considerably more accessible and intuitive than Church's.[61] It also included a notion of a 'Universal Machine' (now known as a universal Turing machine), with the idea that such a machine could perform the tasks of any other computation machine (as indeed could Church's lambda calculus).
According to the Church–Turing thesis, Turing machines and the lambda calculus are capable of computing anything that is computable. John von Neumann acknowledged that the central concept of the modern computer was due to Turing's paper.[62] To this day, Turing machines are a central object of study in theory of computation.[63]
From September to July , Turing spent most of his time studying under Church at Princeton University,[4] in the second year as a Jane Eliza Procter Visiting Fellow.
In addition to his purely mathematical work, he studied cryptology and also built three of four stages of an electro-mechanical binary multiplier.[64] In June , he obtained his PhD from the Department of Mathematics at Princeton;[65] his dissertation, Systems of Logic Based on Ordinals,[66][67] introduced the concept of ordinal logic and the notion of relative computing, in which Turing machines are augmented with so-called oracles, allowing the study of problems that cannot be solved by Turing machines.
Augustin cauchy Tips on Viewing Images The PDF viewer on the site lets you turn pages, zoom in and drag the pages to read the material you are interested in. Most of the possible settings would cause contradictions and be discarded, leaving only a few to be investigated in detail. BBC Teach. Turing died on 7 June , aged 41, from cyanide poisoning.John von Neumann wanted to hire him as his postdoctoral assistant, but he went back to the United Kingdom.[68]
Career and research
When Turing returned to Cambridge, he attended lectures given in by Ludwig Wittgenstein about the foundations of mathematics.[69] The lectures have been reconstructed verbatim, including interjections from Turing and other students, from students' notes.[70] Turing and Wittgenstein argued and disagreed, with Turing defending formalism and Wittgenstein propounding his view that mathematics does not discover any absolute truths, but rather invents them.[71]
Cryptanalysis
During the Second World War, Turing was a leading participant in the breaking of German ciphers at Bletchley Park.
The historian and wartime codebreaker Asa Briggs has said, "You needed exceptional talent, you needed genius at Bletchley and Turing's was that genius."[72]
From September , Turing worked part-time with the Government Code and Cypher School (GC&CS), the British codebreaking organisation. He concentrated on cryptanalysis of the Enigma cipher machine used by Nazi Germany, together with Dilly Knox, a senior GC&CS codebreaker.[73] Soon after the July meeting near Warsaw at which the Polish Cipher Bureau gave the British and French details of the wiring of Enigma machine's rotors and their method of decrypting Enigma machine's messages, Turing and Knox developed a broader solution.[74] The Polish method relied on an insecure indicator procedure that the Germans were likely to change, which they in fact did in May Turing's approach was more general, using crib-based decryption for which he produced the functional specification of the bombe (an improvement on the Polish Bomba).[75]
On 4 September , the day after the UK declared war on Germany, Turing reported to Bletchley Park, the wartime station of GC&CS.[76] Like all others who came to Bletchley, he was required to sign the Official Secrets Act, in which he agreed not to disclose anything about his work at Bletchley, with severe legal penalties for violating the Act.[77]
Specifying the bombe was the first of five major cryptanalytical advances that Turing made during the war.
The others were: deducing the indicator procedure used by the German navy; developing a statistical procedure dubbed Banburismus for making much more efficient use of the bombes; developing a procedure dubbed Turingery for working out the cam settings of the wheels of the Lorenz SZ 40/42 (Tunny) cipher machine and, towards the end of the war, the development of a portable secure voice scrambler at Hanslope Park that was codenamed Delilah.[78][79]
By using statistical techniques to optimise the trial of different possibilities in the code breaking process, Turing made an innovative contribution to the subject.
He wrote two papers discussing mathematical approaches, titled The Applications of Probability to Cryptography[80] and Paper on Statistics of Repetitions,[81] which were of such value to GC&CS and its successor GCHQ that they were not released to the UK National Archives until April , shortly before the centenary of his birth.
A GCHQ mathematician, "who identified himself only as Richard," said at the time that the fact that the contents had been restricted under the Official Secrets Act for some 70 years demonstrated their importance, and their relevance to post-war cryptanalysis:[82]
[He] said the fact that the contents had been restricted "shows what a tremendous importance it has in the foundations of our subject".
The papers detailed using "mathematical analysis to try and determine which are the more likely settings so that they can be tried as quickly as possible". Richard said that GCHQ had now "squeezed the juice" out of the two papers and was "happy for them to be released into the public domain".
Turing had a reputation for eccentricity at Bletchley Park.
He was known to his colleagues as "Prof" and his treatise on Enigma was known as the "Prof's Book".[83][84] According to historian Ronald Lewin, Jack Good, a cryptanalyst who worked with Turing, said of his colleague:
In the first week of June each year he would get a bad attack of hay fever, and he would cycle to the office wearing a service gas mask to keep the pollen off.
His bicycle had a fault: the chain would come off at regular intervals. Instead of having it mended he would count the number of times the pedals went round and would get off the bicycle in time to adjust the chain by hand. Another of his eccentricities is that he chained his mug to the radiator pipes to prevent it being stolen.[85]
Peter Hilton recounted his experience working with Turing in Hut 8 in his "Reminiscences of Bletchley Park" from A Century of Mathematics in America:[86]
It is a rare experience to meet an authentic genius.
Those of us privileged to inhabit the world of scholarship are familiar with the intellectual stimulation furnished by talented colleagues.
Alan mathison turing death images body Colossus: The secrets of Bletchley Park's code-breaking computers. Alan Turing at Wikipedia's sister projects. In Smith, Michael; Erskine, Ralph eds. You can also download the PDFs for personal use but do check the Terms and Conditions before you do that, as almost all of the material on the website has been published subject to certain restrictions.We can admire the ideas they share with us and are usually able to understand their source; we may even often believe that we ourselves could have created such concepts and originated such thoughts. However, the experience of sharing the intellectual life of a genius is entirely different; one realizes that one is in the presence of an intelligence, a sensibility of such profundity and originality that one is filled with wonder and excitement.
Alan Turing was such a genius, and those, like myself, who had the astonishing and unexpected opportunity, created by the strange exigencies of the Second World War, to be able to count Turing as colleague and friend will never forget that experience, nor can we ever lose its immense benefit to us.
Hilton echoed similar thoughts in the Nova PBS documentary Decoding Nazi Secrets.[87]
While working at Bletchley, Turing, who was a talented long-distance runner, occasionally ran the 40 miles (64&#;km) to London when he was needed for meetings,[88] and he was capable of world-class marathon standards.[89][90] Turing tried out for the British Olympic team, but he was hampered by an injury.
His tryout time for the marathon was only 11 minutes slower than British silver medallist Thomas Richards' Olympic race time of 2 hours 35 minutes. He was Walton Athletic Club's best runner, a fact discovered when he passed the group while running alone.[91][92][93] When asked why he ran so hard in training he replied:
I have such a stressful job that the only way I can get it out of my mind is by running hard; it's the only way I can get some release.[94]
Due to the problems of counterfactual history, it is hard to estimate the precise effect Ultra intelligence had on the war.[95] However, official war historian Harry Hinsley estimated that this work shortened the war in Europe by more than two years and saved over 14&#;million lives.[96]
At the end of the war, a memo was sent to all those who had worked at Bletchley Park, reminding them that the code of silence dictated by the Official Secrets Act did not end with the war but would continue indefinitely.[77] Thus, even though Turing was appointed an Officer of the Order of the British Empire (OBE) in by King George VI for his wartime services, his work remained secret for many years.[97][98]
Bombe
Within weeks of arriving at Bletchley Park,[76] Turing had specified an electromechanical machine called the bombe, which could break Enigma more effectively than the Polish bomba kryptologiczna, from which its name was derived.
The bombe, with an enhancement suggested by mathematician Gordon Welchman, became one of the primary tools, and the major automated one, used to attack Enigma-enciphered messages.[99]
The bombe searched for possible correct settings used for an Enigma message (i.e., rotor order, rotor settings and plugboard settings) using a suitable crib: a fragment of probable plaintext.
For each possible setting of the rotors (which had on the order of 1019 states, or 1022 states for the four-rotor U-boat variant),[] the bombe performed a chain of logical deductions based on the crib, implemented electromechanically.[]
The bombe detected when a contradiction had occurred and ruled out that setting, moving on to the next.
Most of the possible settings would cause contradictions and be discarded, leaving only a few to be investigated in detail. A contradiction would occur when an enciphered letter would be turned back into the same plaintext letter, which was impossible with the Enigma. The first bombe was installed on 18 March []
Action This Day
Main article: Action This Day (memo)
By late , Turing and his fellow cryptanalysts Gordon Welchman, Hugh Alexander and Stuart Milner-Barry were frustrated.
Building on the work of the Poles, they had set up a good working system for decrypting Enigma signals, but their limited staff and bombes meant they could not translate all the signals. In the summer, they had considerable success, and shipping losses had fallen to under , tons a month; however, they badly needed more resources to keep abreast of German adjustments.
They had tried to get more people and fund more bombes through the proper channels, but had failed.[]
On 28 October they wrote directly to Winston Churchill explaining their difficulties, with Turing as the first named. They emphasised how small their need was compared with the vast expenditure of men and money by the forces and compared with the level of assistance they could offer to the forces.[] As Andrew Hodges, biographer of Turing, later wrote, "This letter had an electric effect."[] Churchill wrote a memo to General Ismay, which read: "ACTION THIS DAY.
Make sure they have all they want on extreme priority and report to me that this has been done." On 18 November, the chief of the secret service reported that every possible measure was being taken.[] The cryptographers at Bletchley Park did not know of the Prime Minister's response, but as Milner-Barry recalled, "All that we did notice was that almost from that day the rough ways began miraculously to be made smooth."[] More than two hundred bombes were in operation by the end of the war.[]
Hut 8 and the naval Enigma
Turing decided to tackle the particularly difficult problem of cracking the German naval use of Enigma "because no one else was doing anything about it and I could have it to myself".[] In December , Turing solved the essential part of the naval indicator system, which was more complex than the indicator systems used by the other services.[][]
That same night, he also conceived of the idea of Banburismus, a sequential statistical technique (what Abraham Wald later called sequential analysis) to assist in breaking the naval Enigma, "though I was not sure that it would work in practice, and was not, in fact, sure until some days had actually broken".[] For this, he invented a measure of weight of evidence that he called the ban.
Banburismus could rule out certain sequences of the Enigma rotors, substantially reducing the time needed to test settings on the bombes.[] Later this sequential process of accumulating sufficient weight of evidence using decibans (one tenth of a ban) was used in cryptanalysis of the Lorenz cipher.[]
Turing travelled to the United States in November and worked with US Navy cryptanalysts on the naval Enigma and bombe construction in Washington.[][] He also visited their Computing Machine Laboratory in Dayton, Ohio.[]
Turing's reaction to the American bombe design was far from enthusiastic:
The American Bombe programme was to produce Bombes, one for each wheel order.
I used to smile inwardly at the conception of Bombe hut routine implied by this programme, but thought that no particular purpose would be served by pointing out that we would not really use them in that way. Their test (of commutators) can hardly be considered conclusive as they were not testing for the bounce with electronic stop finding devices.
Nobody seems to be told about rods or offiziers or banburismus unless they are really going to do something about it.[]
During this trip, he also assisted at Bell Labs with the development of secure speech devices.[] He returned to Bletchley Park in March During his absence, Hugh Alexander had officially assumed the position of head of Hut 8, although Alexander had been de facto head for some time (Turing having little interest in the day-to-day running of the section).
Turing became a general consultant for cryptanalysis at Bletchley Park.[]
Alexander wrote of Turing's contribution:
There should be no question in anyone's mind that Turing's work was the biggest factor in Hut 8's success. In the early days, he was the only cryptographer who thought the problem worth tackling and not only was he primarily responsible for the main theoretical work within the Hut, but he also shared with Welchman and Keen the chief credit for the invention of the bombe.
It is always difficult to say that anyone is 'absolutely indispensable', but if anyone was indispensable to Hut 8, it was Turing. The pioneer's work always tends to be forgotten when experience and routine later make everything seem easy and many of us in Hut 8 felt that the magnitude of Turing's contribution was never fully realised by the outside world.[]
Turingery
In July , Turing devised a technique termed Turingery (or jokingly Turingismus[]) for use against the Lorenz cipher messages produced by the Germans' new Geheimschreiber (secret writer) machine.
This was a teleprinterrotor cipher attachment codenamed Tunny at Bletchley Park. Turingery was a method of wheel-breaking, i.e., a procedure for working out the cam settings of Tunny's wheels.[] He also introduced the Tunny team to Tommy Flowers who, under the guidance of Max Newman, went on to build the Colossus computer, the world's first programmable digital electronic computer, which replaced a simpler prior machine (the Heath Robinson), and whose superior speed allowed the statistical decryption techniques to be applied usefully to the messages.[] Some have mistakenly said that Turing was a key figure in the design of the Colossus computer.
Turingery and the statistical approach of Banburismus undoubtedly fed into the thinking about cryptanalysis of the Lorenz cipher,[][] but he was not directly involved in the Colossus development.[]
Delilah
Following his work at Bell Labs in the US,[] Turing pursued the idea of electronic enciphering of speech in the telephone system.
In the latter part of the war, he moved to work for the Secret Service's Radio Security Service (later HMGCC) at Hanslope Park.[][] At the park, he further developed his knowledge of electronics with the assistance of REME officer Donald Bayley. Together they undertook the design and construction of a portable secure voice communications machine codenamed Delilah.[] The machine was intended for different applications, but it lacked the capability for use with long-distance radio transmissions.
In any case, Delilah was completed too late to be used during the war. Though the system worked fully, with Turing demonstrating it to officials by encrypting and decrypting a recording of a Winston Churchill speech, Delilah was not adopted for use.[] Turing also consulted with Bell Labs on the development of SIGSALY, a secure voice system that was used in the later years of the war.
Early computers and the Turing test
Between and , Turing lived in Hampton, London,[] while he worked on the design of the ACE (Automatic Computing Engine) at the National Physical Laboratory (NPL). He presented a paper on 19 February , which was the first detailed design of a stored-program computer.[]Von Neumann's incomplete First Draft of a Report on the EDVAC had predated Turing's paper, but it was much less detailed and, according to John R.
Womersley, Superintendent of the NPL Mathematics Division, it "contains a number of ideas which are Dr. Turing's own".[]
Although ACE was a feasible design, the effect of the Official Secrets Act surrounding the wartime work at Bletchley Park made it impossible for Turing to explain the basis of his analysis of how a computer installation involving human operators would work.[] This led to delays in starting the project and he became disillusioned.
In late he returned to Cambridge for a sabbatical year during which he produced a seminal work on Intelligent Machinery that was not published in his lifetime.[] While he was at Cambridge, the Pilot ACE was being built in his absence. It executed its first program on 10 May , and a number of later computers around the world owe much to it, including the English Electric DEUCE and the American Bendix G The full version of Turing's ACE was not built until after his death.[]
According to the memoirs of the German computer pioneer Heinz Billing from the Max Planck Institute for Physics, published by Genscher, Düsseldorf, there was a meeting between Turing and Konrad Zuse.[] It took place in Göttingen in The interrogation had the form of a colloquium.
Participants were Womersley, Turing, Porter from England and a few German researchers like Zuse, Walther, and Billing (for more details see Herbert Bruderer, Konrad Zuse und die Schweiz).
Alan mathison turing mathematician: When the body is asleep I cannot guess what happens but when the body dies, the 'mechanism' of the body, holding the spirit is gone and the spirit finds a new body sooner or later, perhaps immediately. Update to Alan Turing: The Enigma. The proceedings were held at the Sessions House in Knutsford. At Sherborne, Turing formed a significant friendship with fellow pupil Christopher Collan Morcom 13 July — 13 February , [ 36 ] who has been described as Turing's first love.
In , Turing was appointed reader in the Mathematics Department at the Victoria University of Manchester. He lived at "Copper Folly", 43 Adlington Road, in Wilmslow.[] A year later, he became deputy director of the Computing Machine Laboratory, where he worked on software for one of the earliest stored-program computers—the Manchester Mark 1.
Turing wrote the first version of the Programmer's Manual for this machine, and was recruited by Ferranti as a consultant in the development of their commercialised machine, the Ferranti Mark 1. He continued to be paid consultancy fees by Ferranti until his death.[] During this time, he continued to do more abstract work in mathematics,[] and in "Computing Machinery and Intelligence" (Mind, October ), Turing addressed the problem of artificial intelligence, and proposed an experiment that became known as the Turing test, an attempt to define a standard for a machine to be called "intelligent".
The idea was that a computer could be said to "think" if a human interrogator could not tell it apart, through conversation, from a human being.[] In the paper, Turing suggested that rather than building a program to simulate the adult mind, it would be better to produce a simpler one to simulate a child's mind and then to subject it to a course of education.
A reversed form of the Turing test is widely used on the Internet; the test is intended to determine whether the user is a human or a computer.
In , Turing, working with his former undergraduate colleague, D.G. Champernowne, began writing a chess program for a computer that did not yet exist. By , the program was completed and dubbed the Turochamp.[] In , he tried to implement it on a Ferranti Mark 1, but lacking enough power, the computer was unable to execute the program.
Instead, Turing "ran" the program by flipping through the pages of the algorithm and carrying out its instructions on a chessboard, taking about half an hour per move. The game was recorded.[] According to Garry Kasparov, Turing's program "played a recognizable game of chess".[] The program lost to Turing's colleague Alick Glennie, although it is said that it won a game against Champernowne's wife, Isabel.[]
His Turing test was a significant, characteristically provocative, and lasting contribution to the debate regarding artificial intelligence, which continues after more than half a century.[]
Pattern formation and mathematical biology
When Turing was 39 years old in , he turned to mathematical biology, finally publishing his masterpiece "The Chemical Basis of Morphogenesis" in January He was interested in morphogenesis, the development of patterns and shapes in biological organisms.
He suggested that a system of chemicals reacting with each other and diffusing across space, termed a reaction–diffusion system, could account for "the main phenomena of morphogenesis".[] He used systems of partial differential equations to model catalytic chemical reactions. For example, if a catalyst A is required for a certain chemical reaction to take place, and if the reaction produced more of the catalyst A, then we say that the reaction is autocatalytic, and there is positive feedback that can be modelled by nonlinear differential equations.
Turing discovered that patterns could be created if the chemical reaction not only produced catalyst A, but also produced an inhibitor B that slowed down the production of A. If A and B then diffused through the container at different rates, then you could have some regions where A dominated and some where B did. To calculate the extent of this, Turing would have needed a powerful computer, but these were not so freely available in , so he had to use linear approximations to solve the equations by hand.
These calculations gave the right qualitative results, and produced, for example, a uniform mixture that oddly enough had regularly spaced fixed red spots. The Russian biochemist Boris Belousov had performed experiments with similar results, but could not get his papers published because of the contemporary prejudice that any such thing violated the second law of thermodynamics.
Belousov was not aware of Turing's paper in the Philosophical Transactions of the Royal Society.[]
Although published before the structure and role of DNA was understood, Turing's work on morphogenesis remains relevant today and is considered a seminal piece of work in mathematical biology.[] One of the early applications of Turing's paper was the work by James Murray explaining spots and stripes on the fur of cats, large and small.[][][] Further research in the area suggests that Turing's work can partially explain the growth of "feathers, hair follicles, the branching pattern of lungs, and even the left-right asymmetry that puts the heart on the left side of the chest".[] In , Sheth, et al.
found that in mice, removal of Hox genes causes an increase in the number of digits without an increase in the overall size of the limb, suggesting that Hox genes control digit formation by tuning the wavelength of a Turing-type mechanism.[] Later papers were not available until Collected Works of A.&#;M.&#;Turing was published in []
A study conducted in confirmed Turing's mathematical model hypothesis.
Presented by the American Physical Society, the experiment involved growing chia seeds in even layers within trays, later adjusting the available moisture. Researchers experimentally tweaked the factors which appear in the Turing equations, and, as a result, patterns resembling those seen in natural environments emerged. This is believed to be the first time that experiments with living vegetation have verified Turing's mathematical insight.[][]
Personal life
Treasure
In the s, Turing became worried about losing his savings in the event of a German invasion.
In order to protect it, he bought two silver bars weighing 3,&#;oz (90&#;kg) and worth £ (in , £8, adjusted for inflation, £48, at spot price) and buried them in a wood near Bletchley Park.[] Upon returning to dig them up, Turing found that he was unable to break his own code describing where exactly he had hidden them.
This, along with the fact that the area had been renovated, meant that he never regained the silver.[]
Engagement
In , Turing proposed marriage to Hut 8 colleague Joan Clarke, a fellow mathematician and cryptanalyst, but their engagement was short-lived. After admitting his homosexuality to his fiancée, who was reportedly "unfazed" by the revelation, Turing decided that he could not go through with the marriage.[]
Homosexuality and indecency conviction
In December , Turing met Arnold Murray, a year-old unemployed man.
Turing was walking along Manchester's Oxford Road when he met Murray just outside the Regal Cinema and invited him to lunch. The two agreed to meet again and in January began an intimate relationship.[] On 23 January, Turing's house in Wilmslow was burgled. Murray told Turing that he and the burglar were acquainted, and Turing reported the crime to the police.
During the investigation, he acknowledged a sexual relationship with Murray. Homosexual acts were criminal offences in the United Kingdom at that time,[] and both men were charged with "gross indecency" under Section 11 of the Criminal Law Amendment Act [] Initial committal proceedings for the trial were held on 27 February during which Turing's solicitor "reserved his defence", i.e., did not argue or provide evidence against the allegations.
The proceedings were held at the Sessions House in Knutsford.[]
Turing was later convinced by the advice of his brother and his own solicitor, and he entered a plea of guilty.[] The case, Regina v. Turing and Murray, was brought to trial on 31 March [] Turing was convicted and given a choice between imprisonment and probation.
His probation would be conditional on his agreement to undergo hormonal physical changes designed to reduce libido, known as "chemical castration".[] He accepted the option of injections of what was then called stilboestrol (now known as diethylstilbestrol or DES), a synthetic oestrogen; this feminization of his body was continued for the course of one year.
The treatment rendered Turing impotent and caused breast tissue to form.[] In a letter, Turing wrote that "no doubt I shall emerge from it all a different man, but quite who I've not found out".[][] Murray was given a conditional discharge.[]
Turing's conviction led to the removal of his security clearance and barred him from continuing with his cryptographic consultancy for the Government Communications Headquarters (GCHQ), the British signals intelligence agency that had evolved from GC&CS in , though he kept his academic job.
His trial took place only months after the defection to the Soviet Union of Guy Burgess and Donald Maclean