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