The brain, being analog, is able to grasp images so much better. The brain is just designed for comparing images and some patterns - patterns in space and patterns in time - which we do amazingly well. Computers can do it, too, but not in anything like the same kind of flexibility.

The great advances in science usually result from new tools rather than from new doctrines.

The brain, being analog, is able to grasp images so much better. The brain is just designed for comparing images and some patterns - patterns in space and patterns in time - which we do amazingly well. Computers can do it, too, but not in anything like the same kind of flexibility.

The laws of nature are constructed in such a way as to make the universe as interesting as possible.

That's the beautiful thing about science - that it's all about things we don't understand, not just the things we do understand.

Now, as Mandelbrot points out, ... Nature has played a joke on the mathematicians. The 19th-century mathematicians may not have been lacking in imagination, but Nature was not. The same pathological structures that the mathematicians invented to break loose from 19th-century naturalism turn out to be inherent in familiar objects all around us.

We must be careful not to discourage our twelve-year-olds by making them waste the best years of their lives preparing for examinations.