When you're dealing with a problem as complex as autism, you have to look at it from many different points of view and assemble evidence from many different vantage points. Biological evidence in humans and in animals, toxicologic evidence, how does the body deal with toxins, and evidence looking at the actual experience in populations.
I like the planets because they are real places that you can go to and send machines to. Faraway astronomy - galactic astronomy and extra-galactic astronomy - is really cool stuff, but to me, it's about destinations.
Here's something that intrigues me: If you have faith, you believe regardless of the evidence, yet if there's ever evidence to support faith, everyone goes to it and points to it.
The emphasis on mathematical methods seems to be shifted more towards combinatorics and set theory - and away from the algorithm of differential equations which dominates mathematical physics.
While you're finding evidence of innocence, you also find evidence that points to other people.
Everyone asks me why someone Turkish is making Greek yogurt. In Greece, it is not called 'Greek yogurt.' Everywhere in the world it is called 'strained yogurt.' But because it was introduced in this country by a Greek company, they called it 'Greek yogurt.'
Not only in geometry, but to a still more astonishing degree in physics, has it become more and more evident that as soon as we have succeeded in unraveling fully the natural laws which govern reality, we find them to be expressible by mathematical relations of surprising simplicity and architectonic perfection. It seems to me to be one of the chief objects of mathematical instruction to develop the faculty of perceiving this simplicity and harmony.
After two years of undergraduate study, it was clear that I was bored by the regime of problem-solving required by the Cambridge mathematical tripos. A very sensitive mathematics don recommended that I talk to the historian of astronomy, Michael Hoskin, and the conversation led me to enroll in the History and Philosophy of Science for my final undergraduate year.
If the system exhibits a structure which can be represented by a mathematical equivalent, called a mathematical model, and if the objective can be also so quantified, then some computational method may be evolved for choosing the best schedule of actions among alternatives. Such use of mathematical models is termed mathematical programming.
What we, thanks to Jung, call "synchronicity" (coincidence on steroids), Buddhists have long known as "the interpenetration of realities." Whether it's a natural law of sorts or simply evidence of mathematical inevitability (an infinite number of monkeys locked up with an infinite number of typewriters eventually producing 'Hamlet,' not to mention 'Tarzan of the Apes'), it seems to be as real as it is eerie.
The peculiarity of the evidence of mathematical truths is that all the argument is on one side.
I have enormous respect for Derek Parfit, although he seems to me bound within an unfortunate philosophical tradition - rather like the extraordinarily brilliant exponents of Ptolemaic astronomy in the Middle Ages.
It seems to me there's this grand mathematical world out there, and I am wandering through it and discovering fascinating phenomena that often totally suprise me. I do not think of mathemaatics as invented but rather discovered.
The genius of a man capable of explaining religion seems to me to be of a higher order than that of a founder of religion. And that is the glory to which I aspire.
If there is anything that can bind the heavenly mind of man to this dreary exile of our earthly home and can reconcile us with our fate so that one can enjoy living,-then it is verily the enjoyment of the mathematical sciences and astronomy.
I merely say that all reading for pleasure is escape, whether it be Greek, mathematics, astronomy, Benedetto Croce, or The Diary of the Forgotten Man. To say otherwise is to be an intellectual snob, and a juvenile at the art of living.