Someone who copies a Van Gogh does not therefore become Van Gogh, and the same would go for Mozart or anyone else who contributed something that was original. Certainly in the way that I described visualizing numbers in abstract, meaningful shapes.

I have tried to be more flexible, but I always end up feeling more uncomfortable. Retaining a sense of control is really important. I like to do things in my own time, and in my own style, so an office with targets and bureaucracy just wouldn't work.

I do read a lot, and I think in recent years the ratio between the amount of non-fiction and fiction has tipped quite considerably. I did read fiction as a teenager as well, mostly because I was forced to read fiction, of course, to go through high school.

Our thoughts and our feelings, of course, are not wholly objective, they're inherently subjective. And that's the danger, and I think as long as we're aware of it and can push back against it, I don't think that these two views are necessarily incompatible.

I know from my own experience that there is much more to 'intelligence' than an IQ number. In fact, I hesitate to believe that any system could really reflect the complexity and uniqueness of one person's mind, or meaningfully describe the nature of his or her potential.

37 is a lumpy number, a bit like porridge. Six is very small and dark and cold, and whenever I was little trying to understand what sadness is I would imagine myself inside a number six and having that experience of cold and darkness. Similarly, number four is a shy number.

If when we are taught English we are just taught the rules of grammar, it would take all our love of our language away from us. What makes us love a subject like English is when we learn all these fantastic stories. Feeding the imagination is what makes a subject come alive.

There are estimated to be fewer that 50 prodigious savants worldwide. If we were brought together, it would be disappointing in the sense of us having different abilities. One thing that would make me feel united with them would be the sense of us having grown up in isolation.

I can well imagine that certain writers, even writers that we'd consider today very great writers, may not necessarily have tested highly on IQ just because of their numerical skills, or maybe they may not be very good at memory, and are not particularly good at these kinds of tests.

I found maths very easy, but I still enjoyed discovering things. You have to have the necessary information. For example, what's the difference between the mean and the median? Probability fascinated me. You have to think very carefully about things, which is the way my mind works anyway.

Squaring numbers is a symmetrical process that I like very much. And when I divide one number by another, say, 13 divided by 97, I see a spiral rotating downwards in larger and larger loops that seem to warp and curve. The shapes coalesce into the right number. I never write anything down.

How any person decides to emphasize strengths and mitigate weaknesses is something people have to figure out for themselves. I'm wary of the self-help literature that suggests there are certain rules. I'm very happy for people to look at my story and say it's possible to achieve many things.

Aesthetics - rather than reason - shapes our thought processes. First comes aesthetics, then logic. 'Thinking in Numbers' is not about an attempt to impress the reader but to include the reader, draw the reader in, by explaining my experiences - the beauty I feel in a prime number, for example.

I think if I ever stopped pushing myself, I would revert quickly to quite repetitive, restrictive behaviour. But in pushing myself and concentrating on what I can do, I think I can contribute to society. And that gives me the desire to keep pushing, to see what I'm capable of. The thing to do is not to stop.

No relationship is without its difficulties and this is certainly true when one or both of the persons involved has an autistic spectrum disorder. Even so, I believe what is truly essential to the success of any relationship is not so much compatibility, but love. When you love someone, virtually anything is possible.

My algebra was relatively poor. I found it very difficult to use equations that substituted numbers - to which I had a synesthetic and emotional response - for letters, to which I had none. It was because of this that I decided not to continue math at Advanced level, but chose to study history, French and German instead.

It was a gradual process, realising I was different. I remember at primary school getting a worksheet with sums printed on it. I thought that they must have run out of the right colour inks and sizes for the numbers, because they were all the same, which isn't how I experienced numbers at all. To me, nine is big and blue.

My family supported me. I wasn't hot-housed at all as a young child; I didn't go to any kind of gifted school. They didn't exist in the very poor parts of England when I grew up in the 1980s. I had a great time to learn, had access to libraries and teachers who were patient and enthusiastic when I showed ability in some subjects.

I had eventually come to understand that friendship was a delicate, gradual process that mustn’t be rushed or seized upon but allowed and encouraged to take its course over time. I pictured it as a butterfly, simultaneously beautiful and fragile, that once afloat belonged to the air and any attempt to grab at it would only destroy it.

My autism is a very mild form. It was diagnosed at the age of 25, partly because it wasn't diagnosable as a teenager (this is Asperger's syndrome, specifically). But there were certainly traits within that condition, within the autism spectrum in general, especially at the high functioning end, that I think are best looked at as pluses.

There are always things I find difficult - being in crowds, remembering faces. I do like routines. I always travel with someone. My life in Avignon is a very quiet one. I have an apartment that looks over the whole city. I can drop into town, but a lot of the time I write from home. In some respects I still live a very quiet, simple life.

When I was a child, my behavior was far from being what most people would label 'intelligent.' It was often limited, repetitive and anti-social. I could not do many of the things that most people take for granted, such as looking someone in the eye or deciphering a person's body language, and only acquired these skills with much effort over time.

We know next to nothing with any certainty about Pythagoras, except that he was not really called Pythagoras. The name by which he is known to us was probably a nickname bestowed by his followers. According to one source, it meant ‘He who spoke truth like an oracle’. Rather than entrust his mathematical and philosophical ideas to paper, Pythagoras is said to have expounded them before large crowds. The world’s most famous mathematician was also its first rhetorician.

I remember as a young child, during one of my frequent trips to the local library, spending hours looking at book after book trying in vain to find one that had my name on it. Because there were so many books in the library, with so many different names on them, I’d assumed that one of them — somewhere — had to be mine. I didn’t understand at the time that a person’s name appears on a book because he or she wrote it. Now that I’m twenty-six I know better. If I were ever going to find my book one day, I was going to have to write it.

One particular aspect of Siddhartha’s revelation of the outside world has always struck me. Quite possibly he lived his first thirty years without any knowledge of number. How must he have felt, then, to see crowds of people mingling in the streets? Before that day he would not have believed that so many people existed in all the world. And what wonder it must have been to discover flocks of birds, and piles of stones, leaves on trees and blades of grass! To suddenly realise that, his whole life long, he had been kept at arm’s length from multiplicity.

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