The best that Gauss has given us was likewise an exclusive production. If he had not created his geometry of surfaces, which served Riemann as a basis, it is scarcely conceivable that anyone else would have discovered it. I do not hesitate to confess that to a certain extent a similar pleasure may be found by absorbing ourselves in questions of pure geometry.
Do you believe in miracles? Well, you should. In fact, life itself is a big miracle. There are so many things that are beyond our understanding. There are two ways to live: you can live as if nothing is a miracle; you can live as if everything is a miracle.
The creative scientist studies nature with the rapt gaze of the lover, and is guided as often by aesthetics as by rational considerations in guessing how nature works.
If the moon, in the act of completing its eternal way around the earth, were gifted with self-consciousness, it would feel thoroughly convinced that it was traveling its way of its own accord on the strength of a resolution taken once and for all. So would a Being, endowed with higher insight and more perfect intelligence, watching man and his doings, smile about man's illusion that he was acting according to his own free will.
We must begin to inculcate our children against militarism by educating them in the spirit of pacifism. Our schoolbooks glorify war and conceal it's horror. I would teach peace rather than war.
One has to realize that the powerful industrial groups concerned in the manufacture of arms are doing their best in all countries to prevent the peaceful settlement of international disputes, and that rulers can achieve this great end only if they are sure of the vigorous support of the majority of their peoples.
A conflict arises when a religious community insists on the absolute truthfulness of all statements recorded in the Bible. This means an intervention on the part of religion into the sphere of science; this is where the struggle of the Church against doctrines of Galileo and Darwin belongs.