When I achieved the European record for reciting pi in 2004, this captured the imagination of Professor Simon Baron-Cohen in Cambridge, and he finally diagnosed me with Asperger's that year.
I have never played the lottery in my life and never will. Voltaire described lotteries as a tax on stupidity. More specifically, I think, on innumeracy.
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 consider social skills a bit like learning a language. I've been practising it for so long over so many years I've almost lost my accent.
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.
Logic obviously is important. You need to be able to figure things out, to go to the end of a particular problem. But intuition is very important because it references things that logic alone cannot.