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.

The more I examine the universe and the details of its architecture, the more evidence I find that the universe in some sense must have known we were coming.

There is no such thing as a unique scientific vision, any more than there is a unique poetic vision. Science is a mosaic of partial and conflicting visions. Bu…

I have felt it myself. The glitter of nuclear weapons. It is irresistible if you come to them as a scientist. To feel it's there in your hands, to release this…

It is with children that we have the best chance of studying the development of logical knowledge, mathematical knowledge, physical knowledge, and so forth.

Topology provides the synergetic means of ascertaining the values of any system of experiences. Topology is the science of fundamental pattern and structural r…

The rules of logic are to mathematics what those of structure are to architecture.