If we want to go to space with humans, that's for fun not for science. Human adventures in space are just sporting events.

If it should turn out that the whole of physical reality can be described by a finite set of equations, I would be disappointed, I would feel that the Creator had been uncharacteristically lacking in imagination.

Lucky individuals in each generation find technology appropriate to their needs.

The bottom line for mathematicians is that the architecture has to be right. In all the mathematics that I did, the essential point was to find the right architecture. It's like building a bridge. Once the main lines of the structure are right, then the details miraculously fit. The problem is the overall design.

I'm prejudiced about education altogether. I think it's terribly overrated. It wastes a tremendous amount of time - especially for women, it's particularly badly timed. If they're doing a Ph.D., they have a conflict between raising a family or finishing the degree, which is just at the worst time - between the ages of 25 to 30 or whatever it is. It ruins the five years of their lives.

The progress of science requires the growth of understanding in both directions, downward from the whole to the parts and upward from the parts to the whole. A reductionist philosophy, arbitrarily proclaiming that the growth of understanding must go only in one direction, makes no scientific sense. Indeed, dogmatic philosophical beliefs of any kind have no place in science.

The glory of science is to imagine more than we can prove.