... the word "theory" ... was originally an Orphic word, which Cornford interprets as "passionate sympathetic contemplation" ... For Pythagoras, the "passionate sympathetic contemplation" was intellectual, and issued in mathematical knowledge ... To those who have reluctantly learnt a little mathematics in school this may seem strange; but to those who have experienced the intoxicating delight of sudden understanding that mathematics gives, from time to time, to those who love it, the Pythagorean view will seem completely natural.

Arithmetic must be discovered in just the same sense in which Columbus discovered the West Indies, and we no more create numbers than he created the Indians.

Hitler is an outcome of Rousseau.

Life and hope for the world are to be found only in the deeds of love.

Worry is a form of fear, and all forms of fear produce fatigue. A man who has learned not to feel fear will find the fatigue of daily life enormously diminished.

You may, if you are an old-fashioned schoolmaster, wish to consider yourself full of universal benevolence and at the same time derive great pleasure from caning boys. In order to reconcile these two desires you have to persuade yourself that caning

Ignore fact and reason, live entirely in the world of your own fantastic and myth-producing passions; do this whole-heartedly and with conviction, and you will become one of the prophets of your age.