God created infinity, and man, unable to understand infinity, had to invent finite sets.

THE COMPUTER IS JUST AN INSTRUMENT for doing faster what we already know how to do slower. All pretensions to computer intelligence and paradise-tomorrow promises should be toned down before the public turns away in disgust. And if that should happen, our civilization might not survive.

Stan Ulam was lazy, ... He talked too much ... He was self-centered ... . He had an overpowering personality.

Philosophers and psychiatrists should explain why it is that we mathematicians are in the habit of systematically erasing our footsteps. Scientists have always looked askance at this strange habit of mathematicians, which has changed little from Pythagoras to our day.

If we have no idea why a statement is true, we can still prove it by induction.

God created infinity, and man, unable to understand infinity, had to invent finite sets.

Running overtime is the one unforgivable error a lecturer can make. After fifty minutes (one microcentury as von Neumann used to say) everybody's attention will turn elsewhere.