The pure mathematician, like the musician, is a free creator of his world of ordered beauty.

All who are not lunatics are agreed about certain things : That it is better to be alive than dead, better to be adequately fed than starved, better to be free than a slave

Cynicism such as one finds very frequently among the most highly educated young men and women of the West, results from the combination of comfort and powerlessness.

No man treats a motorcar as foolishly as he treats another human being. When the car will not go, he does not attribute its annoying behavior to sin; he does not say, 'You are a wicked motorcar, and I shall not give you any more petrol until you go.' He attempts to find out what is wrong and to set it right.

When two great powers disagree about anything - it doesn't matter what - they must find a way to settle it somehow by arbitration or by negotiation, not by war or threat of war.

With subjectivity in philosophy, anarchism in politics goes hand in hand. Already during Luther's lifetime, unwelcome and unacknowledged disciples had developed the doctrine of Anabaptism, which for a time dominated the city of Munster. The Anabaptists repudiated all law since they held that good men will be guided at every moment by the Holy Spirit, who can not be bound by formulas. From this premise they arrive at communism and sexual promiscuity; they were therefore exterminated after a heroic resistance.

Science, in its ultimate ideal, consists of a set of propositions arranged in a hierarchy, the lowest level of the hierarchy being concerned with particular facts, and the highest with some general law, governing everything in the universe. The various levels in the hierarchy have a two-fold logical connection, travelling one up, one down; the upward connection proceeds by induction, the downward by deduction.