No man can be a good teacher unless he has feelings of warm affection toward his pupils and a genuine desire to impart to them what he believes to be of value.

Only six need be attempted.

For love of domination we must substitute equality; for love of victory we must substitute justice; for brutality we must substitute intelligence; for competition we must substitute cooperation. We must learn to think of the human race as one family.

Is a man what he seems to the astronomer, a tiny lump of impure carbon and water crawling impotently on a small and unimportant planet? Or is he what he appears to Hamlet? Is he perhaps both as once?

Calculus required continuity, and continuity was supposed to require the infinitely little; but nobody could discover what the infinitely little might be.

One must expect a war between U.S.A. and U.S.S.R. which will begin with the total destruction of London. I think the war will last 30 years, and leave a world without civilised people, from which everything will have to build afresh - a process taking (say) 500 years.

There's a Bible on that shelf there. But I keep it next to Voltaire - poison and antidote.