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
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
