... 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.

Even in the most purely logical realms, it is insight that first arrives at what is new.

We know very little, and yet it is astonishing that we know so much, and still more astonishing that so little knowledge can give us so much power.

There are two motives for reading a book; one, that you enjoy it; the other, that you can boast about it.

The opposition of instinct and reason is mainly illusory. Instinct, intuition, or insight is what first leads to the beliefs which subsequent reason confirms or confutes; but the confirmation, where it is possible, consists, in the last analysis, of agreement with other beliefs no less instinctive. Reason is a harmonizing, controlling force rather than a creative one. Even in the most purely logical realms, it is insight that first arrives at what is new.

Those who have never known the deep intimacy and the intense companionship of happy mutual love have missed the best thing that life has to give.

I believe myself that romantic love is the source of the most intense delights that life has to offer. In the relation of a man and woman who love each other with passion and imagination and tenderness, there is something of inestimable value, to be ignorant of which is a great misfortune to any human being.