Alan Turing: The Enigma (6 page)

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Authors: Andrew Hodges

Tags: #Biography & Autobiography, #Science & Technology, #Computers, #History, #Mathematics, #History & Philosophy

BOOK: Alan Turing: The Enigma
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But that December his parents steamed away and Alan was left again with the Wards, while John returned to Hazelhurst.
Their father was transferred at last to the metropolis of Madras to serve in the Revenue Department, but Alan stagnated in the deathly ennui of St Leonards-on-Sea, concocting recipes. His development was so held back that he had not even learnt how to do long division by the time of his mothers return in 1921, when he was nearly nine.

His mother perceived him as changed from ‘extremely vivacious – even mercurial – making friends with everyone’ to being ‘unsociable and dreamy’. There was a wistful, withdrawn expression in photographs of his ten-year-old face. She took him away from St Leonards and, after a summer holiday in Brittany, somewhat spoilt by the constant counting of francs, she taught him herself in London, where he alarmed her by looking for iron filings in the gutter with a magnet. Mr Turing, who in May 1921 had again been promoted to be Secretary to the Madras Government Development Department, responsible for agriculture and commerce throughout the Presidency, returned once more in December and they all went to St Moritz, where Alan learnt to ski.

Miss Taylor, the headmistress of St Michael’s, had said that Alan ‘had genius’, but this diagnosis was not allowed to modify the programme. In the new year of 1922, Alan was launched on the next stage of the process and was sent off to Hazelhurst like his brother.

Hazelhurst was a small establishment of thirty-six boys of ages from nine to thirteen, run by the headmaster Mr Darlington, a Mr Blenkins who taught mathematics, Miss Gillett who taught drawing and music of a Moodey and Sankey variety, and the Matron. John had loved his time there, and now in his last term was head boy. His younger brother proved to be a thorn in the flesh, for Alan found the Hazelhurst regime a distraction. It ‘deprived him of his usual occupations,’ as his mother saw it. Now that the whole day was organised into classes, games and meal-times, he had but odd minutes in which to indulge his interests. He arrived with a craze for paper-folding, and when he had shown the other boys what to do, John found himself confronted everywhere with paper frogs and paper boats. Another humiliation followed when Alan’s passion for maps was discovered by Mr Darlington. This inspired him to set a geography test to the whole school, in which Alan came sixth, beating his brother, who found geography very boring. On another occasion Alan sat in the back row at a school concert, choking himself with laughter while John sang
Land of Hope and Glory
as a solo.

John left Hazelhurst at Easter for Marlborough, his public school. In the summer, Mr Turing again took the family to Scotland, this time to Lochinver. Alan exercised his knowledge of maps on the mountain paths,
and they fished in the loch, Alan now competing with John. The brothers had a good line in non-violent rivalry, as for instance when they played a game to alleviate the awfulness of their grandfather Stoney’s visits. This depended upon winning points by leading him on, or heading him away from one of his well-rehearsed club bore stories. And at Lochinver Alan defeated his family in what Mrs Turing considered the rather vulgar after-dinner sport of throwing discarded gooseberry skins as far as possible. Cleverly inflating them, he made them soar over the hedge.

Life when off duty, in this early afternoon of the Empire, could be very agreeable. But in September his parents saw Alan back to Hazelhurst, and as they drove away in their taxi, Alan rushed back along the school drive with arms flung wide in pursuit. They had to bite their lips and sail away to Madras. Alan continued to maintain is detached view of the Hazelhurst regime. He gained average marks in class, and in turn held an unflattering view of the instruction. Mr Blenkins initiated his class into elementary algebra, and Alan reported to John, ‘He gave a
quite false impression
of what is meant by
x
.’

Although he enjoyed the feeble little plays and debates, he hated and feared the gym class and the afternoon games. The boys played hockey in winter, and Alan later claimed that it was the necessity of avoiding the ball that had taught him to run fast. He did enjoy being linesman, judging precisely where the ball had crossed the line. In an end-of-term sing-song, the following couplet described him:

 

Turing’s fond of the football field
For geometric problems the touch-lines yield

Later another verse had him ‘watching the daisies grow’ during hockey, an image which inspired his mother to a whimsical pencil sketch. And although intended as a joke against his dreamy passivity, there might have been a truth in the observation. For something new had happened.

At the end of 1922, some unknown benefactor had given him a book, called
Natural Wonders Every Child Should Know
.
8
Alan told his mother later that this book had opened his eyes to science. Indeed, it must have been the first time that he became conscious that such a kind of knowledge as ‘science’ existed. But more than that, it opened the book of life. If anything at all can be said to have influenced him, it was this book which, like so many new things, came from the United States.

The book had first appeared in 1912 and its author, Edwin Tenney Brewster, had described it as

 

… the first attempt to set before young readers some knowledge of certain loosely related but very modern topics, commonly grouped together under the name, General Physiology. It is, in short, an attempt to lead children of eight or ten, first to ask and then to answer, the question: What have I in common with other living things, and how do I differ from them? Incidentally, in addition, I
have attempted to provide a foundation on which a perplexed but serious-minded parent can himself base an answer to several puzzling questions which all children ask – most especially to that most difficult of them all: By what process of becoming did I myself finally appear in this world?

In other words, it was about sex and science, starting off with ‘How the Chicken got inside the Egg’, rambling through ‘Some Other Sorts of Eggs’ until arriving at ‘What Little Boys and Girls are Made Of’. Brewster quoted ‘the old nursery rhyme’ and said that:

 

It has this much truth in it, that little boys and little girls are far from being alike, and it isn’t worth while trying to make either one over into the other.

The precise nature of this difference was not revealed, and only after a skilful diversion on to the subject of the eggs of starfish and sea-urchins did Brewster eventually arrive back at the human body:

 

So we are not built like a cement or a wooden house, but like a brick one. We are made of little living bricks. When we grow it is because these living bricks divide into half bricks, and then grow into whole ones again. But how they find out when and where to grow fast, and when and where to grow slowly, and when and where not to grow at all, is precisely what nobody has yet made the smallest beginning at finding out.

The process of biological growth was the principal scientific theme of E.T. Brewster’s book. Yet science had no explanations, only descriptions. In fact on 1 October 1911, when Alan Turing’s ‘living bricks’ were first dividing and redividing, Professor D’Arcy Thompson was telling the British Association that ‘the ultimate problems of biology are as inscrutable as of old.’

But equally inscrutable,
Natural Wonders
conspicuously failed to describe where the
first
cell in the human process came from, only dropping the elusive hint that ‘the egg itself arose by the splitting of still another cell which, of course, was part of the parent’s body.’ The secret was left for the ‘perplexed but serious-minded parent’ to explain. Mrs Turing’s way of dealing with the thorny topic was, in fact, highly consonant with Brewster’s, for John at least was the recipient at Hazelhurst of a special letter starting with the birds and the bees, and ending with instructions ‘not to go off the rails’. Presumably Alan was informed in the same way.

In other ways, however,
Natural Wonders
was indeed ‘very modern’, and certainly no little ‘nature book’. It conveyed the idea that there had to be a reason for the way things were, and that the reason came not from God but from science. Long passages explained why little boys liked throwing things and little girls liked babies, and derived from the pattern of the living world the ideal of a Daddy to go out to work at the office and a Mama to stay at home. This picture of respectable American life was rather remote from the training of the sons of Indian civil servants, but more relevant to Alan was a picture of the brain:

 

Do you see
now why you have to go to school five hours a day, and sit on a hard seat studying still harder lessons, when you would much rather sneak off and go in swimming? It is so that you may build up these thinking spots in your brains. … We begin young, while the brain is still growing. With years and years of work and study, we slowly form the thinking spots over our left ears, which we are to use the rest of our days. When we are grown up, we can no more form new thinking places. …

So even school was justified by science. The old world of divine authority was reduced to a vague allusion in which Brewster, having described evolution, said that ‘why it all happens or what it is all for’ was precisely ‘one of those things that no fellah can find out.’ Brewster’s living things were unequivocally
machines:

 

For, of course, the body is a machine. It is a vastly complex machine, many, many times more complicated than any machine ever made with hands; but still after all a machine. It has been likened to a steam engine. But that was before we knew as much about the way it works as we know now. It really is a gas engine; like the engine of an automobile, a motor boat, or a flying machine.

Human beings were ‘more intelligent’ than the other animals, but were not accorded a mention of ‘soul’. The process of cellular division and differentiation was something no one had
yet
begun to understand – but there was no suggestion that it required the interference of angels. So if Alan was indeed ‘watching the daisies grow’, he could have been thinking that while it looked as though the daisy knew what to do, it really depended upon a system of cells working like a machine. And what about himself? How did
he
know what to do? There was plenty to dream about while the hockey ball whizzed past.

Besides watching the daisies, Alan liked inventing things. On 11 February 1923 he wrote:
9

Dear Mother and Daddy,

I have got a lovely cinema kind of thing Micheal
*
sills gave it to me and you can draw new films for it and I am making a copy of it for you for an easter present I am sending it in another envelope if you want any more films for it write for them there are 16 pictures in each but I worked out that I could draw ‘The boy stood at the tea table’ you know the Rhyme made up from casabianca I was 2nd this week again. Matron sends her love GB said that as I wrote so thick I was to get some new nibs from T. Wells and I am writing with them now there is a lecture tomorrow Wainwright was next to bottom this week this is my patent ink

There was nothing about science, inventions, or the modern world in the Common Entrance examination – the public school admission test, which was the
raison d’être
of schools like Hazelhurst.
Casabianca
was nearer the
mark. In the American
Natural Wonders
everything had to have a reason. But the British system was building different ‘thinking spots’ – the virtue of Casabianca, the boy on the burning deck, was that he carried out his instructions literally, losing his life in the process.

The masters did their best to discourage Alan’s irrelevant interest in science, but could not stop his inventions – in particular, machines to help him in the writing problems that still plagued him:

April 1 (fool’s day)

Guess what I am writing with. It is an invention of my own it is a fountain pen like this:—
[crude diagram
] you see to fill it scweeze E [‘
squishy end of fountain pen filler
’] and let go and the ink is sucked up and it is full. I have arranged it so that when I press a little of the ink comes down but it keeps on getting clogged.
I wonder if John has seen Joan of Arc’s Statue yet coz it is in Rouen. Last monday we had scouts ν cubs it was rather exiting there was no weeks order this week I hope John likes Rouen I don’t feel much like writing much today sorry. Matron says John sent something.

This provoked another couplet, about a fountain pen that ‘leaked enough for four’. Another letter in July, written in green ink which was (predictably) forbidden, described an exceedingly crude idea for a typewriter.

John’s stay in Rouen was part of a general alteration in the Turing family arrangements. Before going to Marlborough, he had told his father that he would like a change from the Wards, and this was agreed. The parents found a Hertfordshire vicarage to be their home as from the summer of 1923. Meanwhile, at Easter, John had parted from his brother for the first time, going to stay with a Mme Godier in Rouen. This went quite well, and in the summer Alan (‘simply longing to go there’) went with him to imbibe the culture and civilisation of France for a few weeks. Alan made a great impression on the
petit-bourgeoise
Mme Godier. It was ‘
comme il est charmant
’ when he had been persuaded to wash behind the ears, and a telling-off for John if he had not. John loathed Mme Godier, and her fawning on Alan came as a relief, enabling him to slip off to the cinema. Both Turing boys, in fact, were singularly good-looking, with a subtle, vulnerable appeal; John rather the sharper, and Alan dreamier. The stay was not a great success. John had refused to take his bicycle this time because of the prospect of navigating wobbly Alan through the cobbled Rouen streets. So they were marooned listlessly in the
maison Godier
, or were obliged to take long walks.
‘Il marche comme un escargot
,’ declared Mme Godier of Alan, an observation which fitted Alan’s snail-like progress along the gutter, but also the Turing family’s picture of itself – that of the slow Turings, the gloomy Turings, always fighting on the losing side, and coming in last if not least.

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