Mathematics is not a separate entity. It owes a great deal of its power and its beauty to other disciplines..

In recent years we have become much more preoccupied with streamlining and organizing our subject than with maintaining its overall vitality. If we a….

To exist (in mathematics), said Henri Poincaré, is to be free from contradiction. But mere existence does not guarantee survival. To survive in mathe….

There are surely worse things than being wrong, and being dull and pedantic are surely among them..

... there are those who believe that mathematics can sustain itself and grow without any further contact with anything outside itself, and those who ….

A proof is that which convinces a reasonable man; a rigorous proof is that which convinces an unreasonable man..