To exist (in mathematics), said Henri Poincaré, is to be free from contradiction. But mere existence does not guarantee survival. To survive in mathematics requires a kind of vitality that cannot be described in purely logical terms. — Mark Kac Copy Share Image
In recent years we have become much more preoccupied with streamlining and organizing our subject than with maintaining its overall vitality. If we are not careful, a great adventure of the mind will become yet another profession. — Mark Kac Copy Share Image
To exist (in mathematics), said Henri Poincaré, is to be free from contradiction. But mere existence does not guarantee survival. To survive in mathematics… — Mark Kac Copy Share Image
There are surely worse things than being wrong, and being dull and pedantic are surely among them. — Mark Kac Copy Share Image
In recent years we have become much more preoccupied with streamlining and organizing our subject than with maintaining its overall vitality. If we are… — Mark Kac Copy Share Image
... there are those who believe that mathematics can sustain itself and grow without any further contact with anything outside itself, and those who… — Mark Kac Copy Share Image
A proof is that which convinces a reasonable man; a rigorous proof is that which convinces an unreasonable man. — Mark Kac Copy Share Image
Mathematics is not a separate entity. It owes a great deal of its power and its beauty to other disciplines. — Mark Kac Copy Share Image
